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A building covers an area of 600 square ft. the eight is 45 feet what is the volume?
Answers
Answer:
27000
Step-by-step explanation:
600(45)=27000
Answer:
27000
Step-by-step explanation:
600(45)=27000
Related Questions
Víctor desea colocar mayólicas cuadradas al piso de dos patios. Para este propósito dispone de dos tipos de mayólicas: tipo A y tipo B. Las medidas de cada mayólica tipo A son 45 cm x 45 cm. Mientras que las medidas de cada mayólica tipo B son 30 cm x 30 cm. Ambos patios tienen forma cuadrada y son de diferentes tamaños. Para iniciar su trabajo, Víctor coloca 9 mayólicas del tipo A en cada lado del primer patio, mientras que en el segundo patio coloca 12 mayólicas del tipo B en cada lado. ¿Qué patio tiene mayor área? ¿Cuál es la diferencia entre las áreas de los patios, en metros cuadrados?
Answers
Answer:
Ok, sabemos que:
Las medidas de cada mayólica tipo A son 45 cm x 45 cm.
Las mayólicas son cuadradas, y el área de un cuadrado de lado L es:
A = L^2.
Entonces el área de una mayólica tipo A es:
A = (45cm)^2 = 2,025cm^2.
Ahora, sabemos que en el patio 1 Víctor coloca 9 de estas en cada lado.
Entonces cada lado de este patio mide 9 veces 45cm
9*45cm = 405cm
El patio 1 es de 405cm x 405cm
el área es:
A1 = 164,025 cm^2
Ahora vamos al patio 2.
Acá usa mayólicas de tipo B, que son 30cm x 30cm
Y usa 12 en cada lado, entonces cada lado de este patio mide 12 veces 30 cm
12*30cm = 360cm
El patio dos es de 360cm x 360cm.
El área es:
A2 = 129,600 cm^2
Entonces:
Patio 1 tiene mayor área, y la diferencia entre las áreas es:
D = A1 - A2 = 164,025 cm^2 - 129,600 cm^2 = 34,425cm^2
Usando la fórmula para el área de un cuadrado, tiene-se que:
El patio A tiene mayor área.La diferencia es de 3.44 metros cuadrados.-----------------------
El área de un cuadrado de lado l es dado por:
\(A = l^2\)
-----------------------
En el patio A, se ponen 9 mayolicas de 45 cm en cada lado, o sea, la medida de cada lado es de \(45 \times 9 = 405 \text{cm} = 4.05 \text{m}\)Por lo tanto, la área de el patio A es de:\(A_{A} = 4.05^2 = 16.40 \text{m}^2\)
-----------------------
En el patio B, se ponen 12 mayolicas de 30 cm en cada lado, o sea, la medida de cada lado es de \(30 \times 12 = 360 \text{cm} = 3.6 \text{m}\)Por lo tanto, la área de el patio B es de:\(A_{B} = 3.6^2 = 12.96 \text{m}^2\)
-----------------------
16.40 > 12.96, entonces, el patio A tiene mayor área.16.40 - 12.96 = 3.44, entonces la diferencia es de 3.44 metros cuadrados.Un problema similar es dado en https://brainly.com/question/21968339
what multiplication equation can you use to find 5 divided by 1/3
Answers
The multiplication equation to find 5 divided by 1/3 is 5 x 3 = 15.
What is division?The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.
At an elementary level the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another.
Unlike the other basic operations, when dividing natural numbers there is sometimes a remainder that will not go evenly into the dividend.
Division has two parts dividend and divisor.
Division is not commutative, meaning that a / b is not always equal to b / a.
Division is also not, in general, associative.
Division is traditionally considered as left-associative.
Division is right-distributive over addition and subtraction.
Division is shown in algebra and science by placing the dividend over the divisor with a horizontal line, also called a fraction bar, between them. For example, "a divided by b" can written as:
a/b
Now it is given that,
5 divided by 1/3
This can be expressed as,
5 divided by 1/3 = 5 ÷ 1/3
Since to convert the division of fraction into multiplication, we reciprocate the fraction
So, applying division we get,
5 ÷ 1/3 = 5 x 3
So, the multiplication equation is,
5 x 3
Now multiplying 5 and 3 we get,
5 x 3 = 15
this is the required multiplication equation of 5 divided by 1/3.
Thus, the multiplication equation to find 5 divided by 1/3 is 5 x 3 = 15.
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Laura Amalia ha comprado un equipo de musica y le han hecho un descuento de un 15%, lo que supone que ha pagado $ 825 menos que lo que marcaba. ¿Cuánto le ha costado el equipo de musica?
Answers
Answer: $4675
Step-by-step explanation:
Question: Laura Amalia has bought a stereo and they have given her a 15% discount, which means that she has paid $825 less than what she indicated. How much did the stereo cost you?
Make x=the original money it cost.
15%x=$825
x =$825/0.15
x =$5500
Because you have a 15% discount, so let $5500 - $5500*15%=$4675
or you can let $5500 - $825=$4675
Write the slope-intercept form of an equation of the line that passes through the given point and is perpendicular to the graph of the equation.
(−6,4), 3y=2x−3
Answers
Now that you have it you can get your slope for what you want. Which is 3/2
So far you have y=3/2 x+b
Take your point and put into you new equation and solve.
4=3/2(-6)+b
4=-9+b. b=13
Answer is y=3/2 x+13
For each f(n) below find the simplest and most accurate functions g 1
(n),g 2
(n) and g 3
(n) such that f(n)=O(g 1
(n)) and f(n)=Ω(g 2
(n)) and f(n)=Θ(g 3
(n)). a) f(n)=∑ i=1
n 3
i 2
b) f(n)=log( n 2
+n+log(n)
n 4
+2n 3
+1
) c) f(n)=∑ i=1
n
(i 3
+2i 2
) d) f(n)=∑ i=1
n
log(i 2
) e) f(n)=∑ i=1
log(n)
i
Answers
f(n) always lies between n³ and (n+1)³ so we can say that f(n) = Θ(n³). As f(n) lies between n⁻² and n⁻⁴log n, we can say that f(n) = Θ(n⁻²). As f(n) lies between n³ and 3n⁴/4 + n³, we can say that f(n) = Θ(n⁴). As f(n) lies between nlogn and 2nlogn, we can say that f(n) = Θ(nlogn). As f(n) lies between log(n) and log(n)², we can say that f(n) = Θ(log(n)²).
(a) f(n) = Θ(n³) Here we need to find the simplest and most accurate functions g1(n), g2(n), and g3(n) for each f(n). The given function is f(n) = Σi=1n 3i². So, to find g1(n), we will take the maximum possible value of f(n) and g1(n). As f(n) will always be greater than n³ (as it is the sum of squares of numbers starting from 1 to n). Therefore, g1(n) = n³. Hence f(n) = O(n³).Now to find g2(n), we take the minimum possible value of f(n) and g2(n). As f(n) will always be less than (n+1)³. Therefore, g2(n) = (n+1)³. Hence f(n) = Ω((n+1)³). Now, to find g3(n), we find a number c1 and c2, such that f(n) lies between c1(n³) and c2((n+1)³) for all n > n₀ where n₀ is a natural number. As f(n) always lies between n³ and (n+1)³, we can say that f(n) = Θ(n³).
(b) f(n) = Θ(log n) We are given f(n) = log((n² + n + log n)/(n⁴ + 2n³ + 1)). Now, to find g1(n), we will take the maximum possible value of f(n) and g1(n). Let's observe the terms of the given function. As n gets very large, log n will be less significant than the other two terms in the numerator. So, we can assume that (n² + n + log n)/(n⁴ + 2n³ + 1) will be less than or equal to (n² + n)/n⁴. So, f(n) ≤ (n² + n)/n⁴. So, g1(n) = n⁻². Hence, f(n) = O(n⁻²).Now, to find g2(n), we will take the minimum possible value of f(n) and g2(n). To do that, we can assume that the log term is the only significant term in the numerator. So, (n² + n + log n)/(n⁴ + 2n³ + 1) will be greater than or equal to log n/n⁴. So, f(n) ≥ log n/n⁴. So, g2(n) = n⁻⁴log n. Hence, f(n) = Ω(n⁻⁴log n).Therefore, g3(n) should be calculated in such a way that f(n) lies between c1(n⁻²) and c2(n⁻⁴log n) for all n > n₀. As f(n) lies between n⁻² and n⁻⁴log n, we can say that f(n) = Θ(n⁻²).
(c) f(n) = Θ(n³)We are given f(n) = Σi=1n (i³ + 2i²). So, to find g1(n), we take the maximum possible value of f(n) and g1(n). i.e., f(n) will always be less than or equal to Σi=1n i³ + Σi=1n 2i³. Σi=1n i³ is a sum of cubes and has a formula n⁴/4 + n³/2 + n²/4. So, Σi=1n i³ ≤ n⁴/4 + n³/2 + n²/4. So, f(n) ≤ 3n⁴/4 + n³. So, g1(n) = n⁴. Hence, f(n) = O(n⁴).Now, to find g2(n), we take the minimum possible value of f(n) and g2(n). i.e., f(n) will always be greater than or equal to Σi=1n i³. So, g2(n) = n³. Hence, f(n) = Ω(n³).To find g3(n), we should find a number c1 and c2 such that f(n) lies between c1(n⁴) and c2(n³) for all n > n₀. As f(n) lies between n³ and 3n⁴/4 + n³, we can say that f(n) = Θ(n⁴).
(d) f(n) = Θ(n log n)We are given f(n) = Σi=1n log(i²). So, to find g1(n), we take the maximum possible value of f(n) and g1(n). i.e., f(n) will always be less than or equal to log(1²) + log(2²) + log(3²) + .... + log(n²). Now, the sum of logs can be written as a log of the product of terms. So, the expression becomes log[(1*2*3*....*n)²]. This is equal to 2log(n!). As we know that n! is less than nⁿ, we can say that log(n!) is less than nlog n. So, f(n) ≤ 2nlogn. Therefore, g1(n) = nlogn. Hence, f(n) = O(nlogn).To find g2(n), we take the minimum possible value of f(n) and g2(n). i.e., f(n) will always be greater than or equal to log(1²). So, g2(n) = log(1²) = 0. Hence, f(n) = Ω(1).To find g3(n), we should find a number c1 and c2 such that f(n) lies between c1(nlogn) and c2(1) for all n > n₀. As f(n) lies between nlogn and 2nlogn, we can say that f(n) = Θ(nlogn).
(e) f(n) = Θ(log n)We are given f(n) = Σi=1logn i. So, to find g1(n), we take the maximum possible value of f(n) and g1(n). i.e., f(n) will always be less than or equal to logn + logn + logn + ..... (log n terms). So, f(n) ≤ log(n)². Therefore, g1(n) = log(n)². Hence, f(n) = O(log(n)²).To find g2(n), we take the minimum possible value of f(n) and g2(n). i.e., f(n) will always be greater than or equal to log 1. So, g2(n) = log(1) = 0. Hence, f(n) = Ω(1).To find g3(n), we should find a number c1 and c2 such that f(n) lies between c1(log(n)²) and c2(1) for all n > n₀. As f(n) lies between log(n) and log(n)², we can say that f(n) = Θ(log(n)²).
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Can a pyramid with a square base be formed by translating the base vertically? Explain your reasoning.
Answers
No, a pyramid with a square base cannot be formed by translating the base vertically.
To understand why a pyramid with a square base cannot be formed by translating the base vertically, it is essential to consider the properties of a pyramid and the nature of translations.
A pyramid is a polyhedron with a polygonal base and triangular faces that converge at a single point called the apex.
In the case of a pyramid with a square base, the base is a square and the triangular faces meet at the apex above the center of the square base.
When we translate an object vertically, we move it up or down along the vertical axis while maintaining its shape and orientation.
However, a pyramid with a square base cannot be translated vertically while preserving its shape because the triangular faces will no longer converge at a single point.
The apex would move along with the base, resulting in a different geometric figure, such as a parallelogram or a slanted pyramid.
Therefore, translating the base of a pyramid with a square base vertically is not a valid transformation that can be performed while preserving the pyramid's shape and properties.
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Solve for the value of x.
Answers
a card player is dealt a 13-card hand from a well-shuffled, standard deck of cards. what is the probability that the hand is void in at least one suit
Answers
The probability that a card player is dealt a 13-card hand from a well-shuffled, standard deck of cards and the hand is void in at least one suit is approximately 0.3643.
To calculate this probability, we can consider the complement event, which is the probability that the hand is not void in any suit.
The number of ways to select a 13-card hand from a 52-card deck is given by the binomial coefficient C(52, 13).
The number of ways to select a 13-card hand without a specific suit (let's say hearts) is given by the binomial coefficient C(39, 13), as there are 39 cards remaining in the deck after removing the 13 hearts.
Since there are four suits (hearts, diamonds, clubs, and spades), we can calculate the number of ways to select a 13-card hand without any suit by multiplying C(39, 13) by 4.
The probability that the hand is not void in any suit is then given by the ratio of the number of ways to select a 13-card hand without any suit to the number of ways to select any 13-card hand:
P(not void in any suit) = (4 * C(39, 13)) / C(52, 13)
Finally, we can find the probability that the hand is void in at least one suit by subtracting the probability of not being void in any suit from 1:
P(void in at least one suit) = 1 - P(not void in any suit)
Calculating this probability gives us approximately 0.3643.
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jaela is buying a used car for $6832. her loan is for 30 months at 1.35% in interest. how much will her car payment each month?
Answers
Answer: 232$ Per month
Step-by-step explanation:
What must be true about the sum of any two sides of a triangle?
A)
The sum of the lengths of two sides must be greater than the length of
the third side.
B)
The sum of the lengths of two sides must be less than the length of the
third side.
C)
The sum of the lengths of two sides must be equal to the length of the
third side.
D
The sum of the length of all three sides must be equal to 360.
Answers
Answer:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Step-by-step explanation:
Correct answer:
The sum of the lengths of 2 sides of a triangle must be greater than—but not equal to—the length of the third side.
Students in a representative sample of 65 first-year students selected from a large university in England participated in a study of academic procrastination. Each student in the sample completed the Tuckman Procrastination Scale, which measures procrastination tendencies. Scores on this scale can range from 16 to 64, with scores over 40 indicating higher levels of procrastination. For the 65 first-year students in this study, the mean score on the procrastination scale was 36.9 and the standard deviation was 6.41.
Construct a 95% confidence interval estimate of , the mean procrastination scale for first-year students at this college. (Round your answers to three decimal places.)
Answers
The 95% confidence interval estimate of , the mean procrastination scale for first-year students at this college is equals to the (35.311, 38.488).
We have a sample of 65 first-year students selected from a large university in England, with
Sample Size, n = 65.0
Sample Mean, \(\bar x\) = 36.9
Standard deviation,s = 6.41
Significance level, α = 1- 0.95 = 0.05
Degree of freedom, df = n- 1 = 65.0 - 1
= 64.0
We have to determine the 95% confidence interval for population mean μ , so, Point estimate, \(\bar x\)
= 36.9
Critical value at α = 0.05 with df = 64.0 is
\(t_{(\frac{α}{2},df)} = 1.998\) (from student t table)
From Margin of error formula,
\(ME = t_{(\frac{α}{2},df )} \frac{s}{\sqrt{n}}\)
Substitute all known values in above formula, \(= 1.998 × \frac{6.41}{\sqrt{65}}\) = 1.5885
Thus, Margin of error is 1.5885. Now 95% confidence interval is CI = point estimate ± ME = 36.9 ± 1.5885
= (35.311, 38.488)
Hence, required value of confidence is (35.311, 38.488).
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Describe the error in solving the equation -2x^2+9x=4 using the Quadratic Formula.
Answers
Answer:
The roots are 0.5 and 4.
Step-by-step explanation:
-2x^2+9x=4
Rearrange:
-2x^2 + 9x - 4 = 0
x = [-b +/- √(b)^2 - 4ac)] / 2a
Using this quadratic formula the solution is:
x = [-9 +/- √(9)^2 - 4*(-2)*(-4)] / (2*-2)
= (-9 +/- √49) / -4
= 9/4 +/- (-7/4)
= 9/4 - 7/4 = 0.5
and 9/4 + 7/4 = 4
When Shane got his water bill in January he was shocked he had used 143.43 gallons of water. About how much water did he use each day
Answers
Answer:
Shane used about \(4.63 \:\text{gallons}\) per day.
Step-by-step explanation:
Given: Shane used \(143.43\) gallons of water in the month of January.
To find: how much water did he use each day?
Solution:
We have,
Shane used \(143.43\) gallons of water in the month of January.
There are total \(31\) days in the month of January.
So, water used per day \(=\frac{143.43}{31}=4.63 \:\text{gallons}\)
Hence, Shane used \(4.63 \:\text{gallons}\) per day.
Michaela drops a ball vertically from a height of 80 feet. The peak height after each bounce is half the previous height.
How far does the ball travel from the time she drops it until it reaches the peak height after the 5th bounce?
O 155 ft
O 230 ft
O 232.5 ft
O 312.5 ft
Answers
Answer:
232.5 ft
Step-by-step explanation:
Bounce
1
2
3
4
5
80 + 40X2 + 20 x 2 + 10 x 2 + 5 x 2 + 2.5 = 232.5 ft
Let D = {16,19.21}, E = {16,18, 19,20} and F = {15, 17, 18,19,21). List the elements in the set DUE
Answers
All the elements in DUE are {16,18,19,20,21}. And the elements are combined elements of D and E.
What is the union of sets?The set containing all the components that are present in both sets A and B, or both sets A and B combined, is referred to as the union of two sets A and B. The symbol "aUb" stands for the union of the sets a and.
Given, sets D = {16,19.21},
E = {16,18, 19,20},
and F = {15, 17, 18,19,21}.
To find the elements in the set DUE:
Here, we have to find the collection of sets D and E
And we have the elements of,
D = {16,19.21}
And E = {16,18, 19,20}.
To find the union of sets, we take all the elements in the union set.
And while doing, we should not repeat the elements.
And put the elements in the ascending order.
So, the union of set D and E is,
DUE = {16,18,19,20,21}
Therefore, the DUE is {16,18,19,20,21}.
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actoring Quadratic Expressions. Factor each completely. 1) x. 2 − 7x − 18. 2) p. 2 − 5p − 14. 3) m. 2 − 9m + 8.
Answers
Completely factored expressions are:
(x - 9)(x + 2)(p - 7)(p + 2)(m - 1)(m - 8)How to evaluate each part of the question?1. x² - 7x - 18 can be factored as:
(x - 9)(x + 2)
Expand the expression using FOIL:
(x - 9)(x + 2) = x² + 2x - 9x - 18 = x² - 7x - 18
2. p² - 5p - 14 can be factored as:
(p - 7)(p + 2)
Expand the expression using FOIL:
(p - 7)(p + 2) = p² + 2p - 7p - 14 = p² - 5p - 14
3. m² - 9m + 8 can be factored as:
(m - 1)(m - 8)
Expand the expression using FOIL:
(m - 1)(m - 8) = m² - 8m - m + 8 = m² - 9m + 8
Therefore, the completely factored expressions are:
(x - 9)(x + 2)(p - 7)(p + 2)(m - 1)(m - 8)Learn more about factored expressions.
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Complete the proofs on a seperate sheet of paper!
Answers
The proof is completed and showed that < 2 ≅ < 3 as required.
How to show that < 2 ≅ < 3Given data
<1 and <2 are linear pair
<1 + <3 = 180 degrees
required to proof <2 ≅ <3
linear pair implies mathematically that the sum of the two angles are 180 degrees, hence we have:
< 1 + < 2 = 180 degrees equation 1
also given that,
< 1 + < 3 = 180 degrees equation 1
equating equation 1 and equation 2 gives
< 1 + < 2 = < 1 + < 3
< 2 = < 3
Hence the required proof
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wa 20. Describe how to translate the graph of Y = Vx to obtain the graph of = Vx+ 2 Vx+2. shift down 2 units O shift left 2 units shift right 2 units shift up 2 units
Answers
Function transformation rule
• f(x + a) translates f(x), ,a, units to the left
Then, to translates the graph of
\(f(x)=\sqrt[]{x}\)to obtain the graph of:
\(f(x+2)=\sqrt[]{x+2}\)we need to translate it 2 units to the left
In the past month, Chau rented 5 video games and 4 DVDs. The rental price for each video game was $3.30. The rental price for each DVD was $3.80. What is the total amount that Chau spent on video game and DVD rentals in the past month?
Does anyone know how to do that?
Answers
The total amount that Chau spent on video game and DVD rentals in the past month is $31.70.
How to calculate the cost?Given that Chau rented 5 video games and 4 DVDs and the rental price for each video game was $3.30 while the rental price for each DVD was $3.80.
The Total amount that was spent will be:
= Amount spent on video games + Amount on DVD
= (5 × $3.30) + (4 × $3.80)
= $16.50 + $15.20
= $31.70
The amount is $31.70.
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Please can i have a written step by step explanation for this question I've already answered it I just the steps in words PLEASE THANK YOU SO MUCH
Answers
Answer:
Step-by-step explanation:
Explanation in image
Your answer should be a polynomial in standard form.
(x - 2)(x - 6)
Answers
x times x minus 6x minus 2x minus 2 times -6. then u get x^2-6x-2x+12. add -6x and -2x to get -8x
(x-2)(x-6)
↓
x^2-8x+12
Which angles are corresponding angles?
Answers
Answer:
\( \angle HIG \: and \: \angle KLI\)
Step-by-step explanation:
\( \angle HIG \: and \: \angle KLI\) are corresponding angles.
What are the equivalent expressions
Answers
Answer:
a)=4x
b)= use common factor
=72y−32
=8(9y-4)
Can someone please help me
Answers
so I can see if I could find a good time for
Make a number line and mark all the points that represent the following values of x, |x-1|>2
Answers
Number Line:
-∞ --------- x₁ --------- x₂ --------- +∞
To mark the points that represent the values of x satisfying |x-1|>2 on a number line, we follow these steps:
Find the boundary points:
The inequality |x-1|>2 can be rewritten as two separate inequalities:
x-1 > 2 and x-1 < -2
Solving the first inequality:
x-1 > 2
x > 2+1
x > 3
Solving the second inequality:
x-1 < -2
x < -2+1
x < -1
Therefore, the boundary points are x = 3 and x = -1.
Mark the boundary points on the number line:
Place a solid dot at x = 3 and x = -1.
Determine the intervals:
Divide the number line into intervals based on the boundary points.
We have three intervals: (-∞, -1), (-1, 3), and (3, +∞).
Choose a test point in each interval:
For the interval (-∞, -1), we can choose x = -2 as a test point.
For the interval (-1, 3), we can choose x = 0 as a test point.
For the interval (3, +∞), we can choose x = 4 as a test point.
Determine the solutions:
Plug in the test points into the original inequality |x-1|>2 to see if they satisfy the inequality.
For x = -2:
|(-2)-1| > 2
|-3| > 2
3 > 2 (True)
So, the interval (-∞, -1) is part of the solution.
For x = 0:
|0-1| > 2
|-1| > 2
1 > 2 (False)
So, the interval (-1, 3) is not part of the solution.
For x = 4:
|4-1| > 2
|3| > 2
3 > 2 (True)
So, the interval (3, +∞) is part of the solution.
Mark the solution intervals on the number line:
Place an open circle at the endpoints of the intervals (-∞, -1) and (3, +∞), and shade the intervals to indicate the solutions.
The number line representation of the points satisfying |x-1|>2 would be as follows:
-∞ ----●---- x₁ --------- x₂ ----●---- +∞
Here, x₁ represents -1 and x₂ represents 3. The shaded intervals (-∞, -1) and (3, +∞) represent the solutions to the inequality.
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If this problem is to be solved by substitutio n, which is a correct step?
y = 4x - 6
2x - 3y = 8
4
2x - 12x + 18 = 8
2x12x18 = 8
O2x - 4x+6=8
2x + 12x + 18 = 8
Answers
Which inequality does this graph show?
A. 3y + x < –x – y – 8
B. 3y – x < 3x – y – 8
C. 3y + x < 3x + y – 8
D. 3y + x < 3x – y – 8
Answers
Answer:
The inequality 3y + x < 3x - y - 8 is represented by option D.
Step-by-step explanation:
The inequality 3y + x < 3x - y - 8 is represented by option D.
To see this, we can rearrange the inequality to get all the x and y terms on one side, like so:
3y + x < 3x - y - 8
4y < 2x - 8
2y < x - 4
y < (1/2)x - 2
This shows that y is less than a linear function of x, with a slope of 1/2 and a y-intercept of -2. Visually, this represents a downward-sloping line on a graph. Therefore, option D is the correct answer.
21:28 = :24
plz help....
Answers
Answer:
x=18
Step-by-step explanation:
21:28=x:24
1. rewrite: 21/28 = x/24
2. simplify: 3/4=x/24
3. multiply 24 to both sides: x=18
You want to buy a triangular lot measuring 470 yards by 860 yards by 1130 yards. The price of the land is $2000 per acre. How much does the land cost
Answers
Thus, the cost of the triangular lot land is approximately $81,940 found using Heron's formula.
To determine the cost of the triangular lot, you first need to calculate its area and then convert it to acres.
Given the three sides of the triangle (470 yards, 860 yards, and 1130 yards), you can use Heron's formula to find the area.
Heron's formula for the area of a triangle with sides a, b, and c is:
Area = √(s * (s - a) * (s - b) * (s - c))
where s is the semi-perimeter, calculated as:
s = (a + b + c) / 2
In this case, a = 470 yards, b = 860 yards, and c = 1130 yards.
Therefore, the semi-perimeter, s, is:
s = (470 + 860 + 1130) / 2 = 1230 yards
Now, plug the values into Heron's formula to calculate the area:
Area = √(1230 * (1230 - 470) * (1230 - 860) * (1230 - 1130))
Area ≈ 198,342.77 square yards
To convert square yards to acres, use the conversion factor:
1 acre = 4,840 square yards
So, the area in acres is:
198,342.77 square yards * (1 acre / 4,840 square yards) ≈ 40.97 acres
Finally, multiply the area in acres by the price per acre to find the cost:
Cost = 40.97 acres * $2000 per acre ≈ $81,940
The cost of the land is approximately $81,940.
Know more about the Heron's formula
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Ramon and his brother go to an amusement park. They each go on the Ferris wheel that costs $6 per ticket and a roller coaster that costs $9 per ticket. Ramon pays for all the tickets. How much does Ramon pay altogether?
Answers
Answer:
6+6=12
9+9=18
12+18=30
30 dollars
Answer:
$30
Step-by-step explanation:
6+6=12
9+9=18
18+12=30
I would assume this was the right answer if not i would need more information to go with the question