The height of the mural is 0.733 centimeters
How to calculate the area of rectangle ?
To calculate the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:
Area = Length x Width
So if you have the length and width of the rectangle, you can simply multiply them together to get the area. For example, if the length of the rectangle is 5 meters and the width is 3 meters, then the area would be:
Area = 5 meters x 3 meters
Area = 15 square meters
Therefore, the area of the rectangle is 15 square meters. Note that the unit of measurement for the area will be the square of the unit used for the length and width (e.g. square meters, square centimeters, square feet, etc.).
Area = Length x Width
To find the width, we can rearrange the formula as:
Width = Area / Length
We are given that the weight of the mural is 110 centimeters, which is equivalent to the area of the rectangle. Therefore, we can substitute these values into the formula:
Width = 110 cm²/ 150 cm
Width = 0.733 cm
Now, we can use the formula for the area of a rectangle to find the height:
Area = Length x Width
110 cm²= 150 cm x Height
Solving for the height, we get:
Height = Area / Length
Height = 110 cm²/ 150 cm
Height = 0.733 cm
Therefore, the height of the mural is 0.733 centimeters.
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If the figures below are similar with a scale factor of 6:5, find the value of x
Using Scale Factor, the value of x = 33.6.
A scale factor is what?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Scale factor = Dimension of the new shape / Dimension of the original shape is the fundamental formula used to calculate it.
The formula is expressed as Scale factor = Larger figure dimensions Smaller figure dimensions in the event that the original figure is enlarged.
Dimension of the large triangle divided by the little triangle is the formula to utilize.
Based on the accompanying figure,
The little triangle's corresponding side length is 28, whereas the giant triangle's side length is x.
Scale factor = 6/5 Scale factor = 6/5 = 28
x = 33.6
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Complete Question -
If the figures below are similar with a scale factor of 6:5, find the value of x
Use the gcf to factor the expression 40x+24y-56
Answer:
40x+24y-56=
8(5x+2y-7)
Step-by-step explanation:
Which equation represents the relationship between the angles shown below?
Answer:
4x + 44 = 180
Step-by-step explanation:
4x = 180- 44
4x = 136
x= 136÷ 4
x= 34
Answer:
4x + 44 = 180
Step-by-step explanation:
sum of angles on a straight line = 180
4x + 44 = 180
subtract 44 from both sides
4x + 44 - 44 = 180 - 44
4x = 136
Divide both sides by the coeficient of x
4x = 136
4 4
x = 34
What is the value of x in this proportion?
56=−4x+2
Responses
x=−2 4/5
x equals negative 2 and 4 over 5
x=−4 2/5
x equals negative 4 and 2 over 5
x=−5 1/5
x equals negative 5 and 1 over 5
x=−6 4/5
x equals negative 6 and 4 over 5
The value of x or the expression 56 = -4x + 2 is -27/2.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
56 = -4x + 2
Solve for x.
56 = -4x + 2
Subtract 2 on both sides.
56 - 2 = -4x
54 = -4x
Divide -4 into both sides.
-54/4 = x
x = -54/4
x = -27/2
x = -13(1/2)
Thus,
The value of x is -27/2.
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The sum of the measures of the angles of any triangle is 180 degrees in triangle ABC angles A and B have the same measure while the measure of angle c is 63 degrees larger than each of A and B
Answer:
m∠A = 39°
m∠B = 39°
m∠C = 102°
Step-by-step explanation:
m∠A + m∠B + m∠C = 180°
x + x + (x + 63) = 180
3x + 63 = 180
3x = 117
x = 39°
m∠A = 39°
m∠B = 39°
m∠C = m∠A + 63 = 39 + 63 = 102°
Answer:
39 39 102
Step-by-step explanation:
if f(x) = 3x^2 and g(x) = √2x what is the value of (f o g)(8)?
Answer:
3(2x+1)
Step-by-step explanation:
(fog) (x) = f (g(x)) = 2 (3x+2) − 1 = 6x + 4− 1 = 6x + 3 = 3 (2x+1)
In a certain college, 55% of the students are women. Suppose we take a sample of two students. Use a probability tree to find the probability
(a) that both chosen students are women.
(b) that atle a stone of the two students is a woman.
The probability that both chosen students are women is 0.3025 and the probability that at least one of the two students is a woman is 0.8075.
a) Probability of both chosen students being women = P(W1 ∩ W2) = P(W1) * P(W2)
= 0.55 * 0.55 = 0.3025
b) Probability of atleast one of the two students being a woman = P(W1 ∪ W2)
= P(W1) + P(W2) - P(W1 ∩ W2)
= 0.55 + 0.55 - 0.3025 = 0.8075
Therefore, the probability that both chosen students are women is 0.3025 and the probability that at least one of the two students is a woman is 0.8075.
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Type < or > to make this statement true -a___-b
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
Solve for the value of f: ½(6 + 4) + 5f = 10
Answer:
Start by combing any like variable and distributing the values.5+5f=10 5f=5f=1PLEASE HELP!! WORTH 69 POINTS
Answer: is 14 square feet bro
Step-by-step explanatio
Answer:
look at the picture i have sent. thanks for the points
How many minutes are in 2/4 of an hour
There are 30 minutes in \(\frac{2}{4}\) of an hour.
To find the no. of minutes in an hour we can multiply the no. of hours by 60. Suppose to find the no. of minutes in an hour we can simply multiply 1 by 60 so we can get 60 minutes in an hour.
Similarly to find the no. of minutes are in \(\frac{2}{4}\) of an hour we can multiply the \(\frac{2}{4}\) by 60 to get the required minutes.
\(\frac{2}{4}\) × 60 = \(\frac{1}{2}\) × 60 = \(\frac{60}{2}\) = 30.
So, from the above explanation, we can conclude that there will be 30 minutes in the \(\frac{2}{4}\) of an hour.
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Which one of these are right??!?
Answer:
B. X
Step-by-step explanation:
the essential rule for a function is that each value of x must have exactly one associated y value.
in other words, if we "feed" the x- value to the function it must be clear what y-value we get as result.
in W 6 has 2 associated y values. no function.
in X all is OK. yes, a function.
in Y again, 6 has 2 associated y values. no function.
in Z 7 has 2 associated y values. no function.
What are the domain and range of the relation that models this situation!! Plz help and explain it so Ican understand thank you!
Answer:
Domain:\(0 \le t \le 9\)
Range: \(7200 \ge \ d \ge \ 0\)
Step-by-step explanation:
Given
\(d = 7200 - 800t\)
Required
Determine the domain and range
From the attached graph, the values of t (on the horizontal axis) starts from 0 and ends at 9.
Hence, the domain is: \(0 \le t \le 9\)
When t = 0:
\(d = 7200 - 800t = 7200 - 800 * 0 = 7200\)
When t = 9
\(d = 7200 - 800t = 7200 - 800 * 9 = 0\)
Hence, the range is:
\(7200 \ge \ d \ge \ 0\)
The difference between two whole numbers is 6. Twice the smaller number is 10 more than the larger number.
What is the smaller number?
Enter your answer in the box.
Answer:
He's right it's 16
Step-by-step explanation:
The smaller number is 16.
What are whole numbers?The numbers that include natural numbers and zero and not a fraction or decimal, {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …}
Given that, the difference between two whole numbers is 6, twice the smaller number is 10 more than the larger number
Let the larger number be x and the smaller number be y,
Then according to question,
x - y = 6
2y - x = 10
Solving the equations, we get,
y = 16
x = 22
Hence, the smaller number is 16.
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what is the equilvant expression 2^-2
Answertrkbjvncdmxs
nbjtrlkmg;e,'dmfnvhnjvlfkvmkj j nfcmkgtrj
Step-by-step explanation:
which value of x makes this inequality true? x+9<4x
Answer:
Step-by-step explanation:
x+9
Let x, be 4
4+9=13
given condition,
x+9<4x
4+9<4(4)
13<16
The answer is:
x > 3Work/explanation:
Our inequality is:
\(\sf{x+9 < 4x}\)
Flip it
\(\sf{4x > x+9}\)
Solve
\(\sf{4x-x > 9}\)
Combine like terms
\(\sf{3x > 9}\)
Divide each side by 3
\(\sf{x > 3}\)
Hence, x > 3Helppppppppppppppppppppp
Answer:The answer is letter E
Step-by-step explanation:
If you divide 4/15 you get 0.2666.
If you solve all of the choices letter E is equivalent to the expression.
QHome Spring 2020
Major arc JL measures 300
Which describes triangle JLM?
300
right
obtuse
K
M.
scalene
O equilateral
Answer:
(D)Equilateral Triangle
Step-by-step explanation:
Given a circle centre M; and
The measure of major arc JL = 300 degrees
The triangle formed by radii ML and MJ and chord JL is Triangle JLM.
Since ML=MJ (radii of a circle), the base angles are equal.
Therefore:
\(\angle MLJ= \angle MJL\\\angle LMJ =60^\circ\\$Therefore:\\\angle LMJ+2\angle MLJ=180^\circ\\60^\circ+2\angle MLJ=180^\circ\\2\angle MLJ=180^\circ-60^\circ\\2\angle MLJ=120^\circ\\\angle MLJ=60^\circ\)
We can see that all the angles of triangle JLM are 60 degrees, therefore Triangle JLM is an Equilateral Triangle.
55c + 13 < 75c + 39
Solve for c
Answer:
c>-13/10
Step-by-step explanation:
55c+13<75c+39
55c+13-75c<39
-20c+13<39
-20c<39-13
-20c<26
c>26/-20
c>-13/10
In the figure below, S is the center of the circle. Suppose that JK = 16, MP= 8, LP = 2x + 4, and PS= 3.5. Find the
following.
The measure for NS is 3.5 cm and the value of x is 2.
We have,
JK = 16, MP= 8, LP = 2x + 4, and PS= 3.5.
Since PS is perpendicular to ML then
MP = LP
So, 8 = 2x+ 4
2x = 8-4
2x= 4
x= 4/2
x= 2
Now, ML = MP + PL = 16
and, JK = ML= 16
Then, NS = PS
NS = PS = 3.5 cm
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HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.
Answer:
B
Step-by-step explanation: it is a quadratic equation it can only have two intercepts
Alejandra waited for the bus last Tuesday.
A) Alejandra esperaste el bus el martes pasado.
B) Alejandra esperé el bus el martes pasado.
C) Alejandra esperásteis el bus el martes pasado.
D) Alejandra esperó el bus el martes pasado.
Answer:
- Alejandra esperó el autobús el martes pasado.
- El martes pasado Alejandra esperó el autobús
Step-by-step explanation:
Answer: - Alejandra esperó el autobús el martes pasado.
Step-by-step explanation:
Derek purchased concert tickets in the month of June for $73, $66, $96, $17, and $66 dollars. Which of the following is an accurate estimate of the total amount he spent on concert tickets in June?
a. $300
b. $330
c. $360
d. $400
Is y=3/4x proportional?
Answer:
My answer is Yes
Step-by-step explanation:
PLEASE HELLP ASAP!!!
The quadratic function graphed is defined as follows:
y = x² - 10x + 9.
How to define the function?We are given the roots for each function, hence the factor theorem is used to define the functions.
The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
From the graph, the roots are given as follows:
x = 1 and x = 9.
Hence the function as a product of it's linear factors is defined as follows:
y = a(x - 1)(x - 9)
y = a(x² - 10x + 9).
When x = 5, y = -16, hence the leading coefficient a is obtained as follows:
-16 = a(5² - 10(5) + 9)
-16a = -16
a = 1.
Thus the function is:
y = x² - 10x + 9.
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Which term can be added to the list so that the greatest common factor of the three terms is 12h3?
36h3, 12h6, __________
The term that can be added to the list so that the greatest common factor of the three terms 12h3 36h3, 12h6, is 48h5
How can the term be known?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.
The term that can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12 without any fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
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Triangle XYZ has vertices at X(-4, 3), Y(-3, -2), and Z(-7, -4). The
triangle will be rotated 270° clockwise about the origin and then
translated 9 units to the right and 5 units down.
What will be the coordinates of Y?
À (2, 3)
B. (7.2)
c. (7, 6)
D. (11, 8)
Answer:
D
Step-by-step explanation:
The coordinates of Y will be (7, 2)
Option B is the correct answer.
What is translation?It is the process of moving a shape to its left, right, up, or down.
The translated and the original shapes are congruent.
We have,
Triangle XYZ.
Vertices:
X(-4, 3), Y(-3, -2), and Z(-7, -4).
The coordinates of Y = (-3, -2)
If the triangle is rotated 270 degrees clockwise, the coordinates of
Y = (-3, -2) will turn to Y = (3, -2).
Translated 9 units to the right.
Y = (3 + 9, -2 + 9)
Y = (12, 7)
Translated 5 units down:
Y = (12 - 5, 7 - 5)
Y = (7, 2)
Thus,
The coordinates of Y will be (7, 2)
Option B is the correct answer.
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Which number doesn't share the same pattern as
2,20, 4,8,300
There are five main roads between the cities A and B and 4 between B and C. In how many ways can a person drive from A to C and return without driving on the same road twice?
There are 20 possible routes that a man could take to go between cities and then take a different route back.
What is meant by permutation?In mathematics, a permutation of a set is, broadly speaking, the rearranging of its elements if the set is already sorted, or the arrangement of its members into a sequence or linear order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context.
Let the number of roads between the cities A and B = 5.
The rules of permutation must be used in this situation.
A permutation is an arrangement of all or a portion of a collection of items that takes into account the arrangement's order.
The man uses five different routes to get from A to B because there are five different routes accessible.
He can get back by 4 (5 1) methods because he needs to take a different route.
Therefore, there are 20 possible routes that a man could take to go between cities and then take a different route back.
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(9,8) and (5, 1)
Slope=
Slope = change in Y over change in X:
Slope = (1 - 8) / (5-9)
Slope = -7/-4
Slope = 7/4
Answer:
The slope is \( \frac{7}{4} \).
.
Step-by-step explanation:
Remember: \(m = \frac{y_2 - y_1}{x_2 - x_1} \)
☆And now we just plug in!
\(m = \frac{1 - 8}{5 - 9} = \frac{ - 7}{ - 4} = \frac{7}{4} \)