Answer:
27 m² (blue fabric)
9 m² (brown fabric)
Step-by-step explanation:
Area of a triangle = 1/2*base *height
Area of 4 triangles = 4* 1/2*3*4.5 = 27 m² (blue fabric)
Area of a square = side² = 3² = 9 m² (brown fabric)
A school is holding a carnival and hopes to raise $500. Child tickets cost $3 and adulttickets cost $5. If the school sells z child tickets and y adult tickets, then the equation3x + 5y = 500 expresses the fact that the school raised exactly $500 from ticket sales.Solve this equation for x. Explain when it might be helpful to rewrite the equation this way
money = $500
C = $3 z
A = $5 y
Equation 3x + 5y = 500
Solve for x
3x = 500 - 5y
x = (500 - 5y) / 3
It's helpful this equation when we need to calculate the number of children that paid the ticket.
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.
What is probability?Probability is defined as the total number of possible outcome of an event.
The repeated colour which are numbered from 1 to 8 are as follows:
Sections 1 and 8 are purple. The probability of getting a purple = 2/8 = 1/4Sections 2 and 3 are yellow. The probability of getting a yellow = 2/8 = 1/4 Sections 4, 5, and 6 are blue. The probability of getting a blue = 3/8Section 7 is orange. The probability of getting a orange = 1/8.Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.
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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.
Step-by-step explanation:
I just need 10 and 11. Pleaseeee. Thank you !
Answer:
10. x ≈ 15,9
11. x ≈ 17,5
Step-by-step explanation:
10. Use the Pythagorean theorem:
\( {x}^{2} = {17}^{2} - {6}^{2} = 289 - 36 = 253\)
\(x > 0\)
\(x = \sqrt{253} ≈15.9\)
11.
\( {x}^{2} = {9}^{2} + {15}^{2} = 81 + 225 = 306\)
\(x > 0\)
\(x = \sqrt{306} ≈17.5\)
If , choose the line of reflection between the two congruent triangles.
The line of reflection of the given congruent angles is the y-axis.
What is the line of reflection?
A line of reflection is defined as a line that lies in a position between two identical mirror images so that any point on one image is the same distance from the line as the same point on the other flipped image
Now, from the attached image, we see that the two given congruent triangles are; ΔAHJ and ΔADB
Now, we see that the coordinates are transformed as folllows;
D(5, 2) → H(-5, 2)
B(3, 0) → J(-3, 0)
Now, this type of transformation follows the transformation rule; (x, y) → (−x, y). This means it was reflected over the y-axis.
This the line of reflection of the given congruent angles is the y-axis.
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Need help asap please .
Answer: 2011 and 2012
Step-by-step explanation:
Solve for x given
3x+1 =9x-2
Answer:
x=1/2
Step-by-step explanation:
3x+1 = 9x-2
move x to one side and constants to other
3=6x
divide by 6 on both sides
x=1/2
I need the answer QUICKLY:
The experimental probability of choosing a nickel based on 13 trials would be 4 / 13
How to find the experimental probability ?The experimental probability can be found by the formula ;
= ( ( Probability of picking a Nickel x Number of trials ) + 1 ) / 13 trials
Probability of picking a Nickel - 1 / 4
Number of trials - 13 trials
The experimental probability for Landon picking a Nickel on the 13th trial is :
= ( ( 1 / 4 x 12 ) + 1 ) / 13
= ( 3 + 1 ) / 13
= 4 / 13
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Sketch the graph of the given function. Then state the function’s domain and range. y = 4(4)x
To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.
Let's choose some x-values and calculate the corresponding y-values:
For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4
For x = -1, y = 4(4)^(-1) = 4(1/4) = 1
For x = 0, y = 4(4)^0 = 4(1) = 4
For x = 1, y = 4(4)^1 = 4(4) = 16
For x = 2, y = 4(4)^2 = 4(16) = 64
Now we can plot these points on a coordinate plane and connect them to form the graph of the function.
The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.
The domain of the function is all real numbers since there are no restrictions on the values of x.
The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.
Need help asap, please and thank you
If the population in the year 2007 is 111.3 million, then the population in the year 2044 will be 148.37 million.
In order to find the population in the year 2044, we use the population growth formula; which is : P = P₀ × (1 + r)ⁿ;
where P = future population, P₀ = initial population, r = annual growth rate, and n = number of years;
Substituting the values,
We get;
⇒ P = (111.3 million) × (1 + 0.0078)²⁰⁴⁴⁻²⁰⁰⁷;
Simplifying this expression,
We get;
⇒ P = (111.3 million) × (1.0078)³⁷;
⇒ P ≈ 148.37 million;
Therefore, the population in the year 2044 is estimated to be approximately 148.37 million.
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find the missing side. round to the nearest tenth
The required angle is 24.5°.
Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,
To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.
The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.
In this case, the perpendicular side is 16 and the base is 35.
Let's denote the acute angle as θ.
Using the tangent function, we can set up the equation:
tan(θ) = perpendicular side / base
tan(θ) = 16 / 35
To find the value of θ, we can take the inverse tangent of both sides:
θ = tan⁻¹(16 / 35)
θ = 24.5°
Hence the required angle is 24.5°.
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A software development company is voting to elect a president, a secretary, a treasurer, and three directors. If a total of 11 qualified candidates applied for these positions, in how many ways can the positions be filled?
The ways to elect the candidates from the total is 462
How to determine the ways of selection?From the question, we have
Total number of candidate, n = 11Numbers to selection, r = 6 i.e. the president, a secretary, a treasurer, and three directorsThe number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 11 and r = 6
Substitute the known values in the above equation
Total = ¹¹C₆
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 11!/5!6!
Evaluate
Total = 462
Hence, the number of ways is 462
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Please someone help for either one!
Abigail wants to save $15,000 to buy a car in seven years. If she deposits $10,000 into an account that receives 5.7 percent interest compounded continuously, will she have enough money in seven years?
Step-by-step explanation:
57,000 cus u multiply 10,000 n 5.7
Answer:
no she will have $14,372
Step-by-step explanation:
Find the 7th term in the following binomial expansion(4f+t/3)8 in ascending powers of t
Answer:
\(\displaystyle T_6=\frac{448}{729} f^2t^6\)
Step-by-step explanation:
Binomial Theorem
Any power of x + y can be expanded into a sum of the form:
\(\displaystyle (x+y)^{n}={n \choose 0}x^{n}y^{0}+{n \choose 1}x^{n-1}y^{1}+{n \choose 2}x^{n-2}y^{2}+\cdots +{n \choose n-1}x^{1}y^{n-1}+{n \choose n}x^{0}y^{n}\)
For any given term k, counted from 0 to n:
\(\displaystyle T_k={n \choose k}x^{n-k}y^{k}\)
Note if we have to find the 7th term, we have to use k=6. The expression is:
\(\displaystyle \left(4f+\frac{t}{3}\right)^8\)
For n=8, x=4f, y=t/3, k=6:
\(\displaystyle T_6={8 \choose 6}(4f)^{8-6}\left (\frac{t}{3} \right )^{6}\)
\(\displaystyle T_6={8 \choose 6}(4f)^{2}\left (\frac{t}{3} \right )^{6}\)
\(\displaystyle T_6={8 \choose 6}16f^2\frac{t^6}{3^6}\)
Calculate:
\(\displaystyle {8 \choose 6}=\frac{8!}{2!\cdot 6!}=28\)
Thus:
\(\displaystyle T_6=28\cdot 16f^2\frac{t^6}{729}\)
Simplifying, the 7th term is:
\(\mathbf{\displaystyle T_6=\frac{448}{729} f^2t^6}\)
7. How can you use square roots to write the solution to x² = 25?
Answer:
Step-by-step explanation:
Take the square root of both sides
\(\sqrt{x^2}\)=\(\sqrt{25}\)
x=±5
Which graph represents the function?
f(x)=−x2+x+6
Evaluate the expression for the given value of the variable.
3x + 4 when x = 2
5y - 3.6 when y = 4
7z4+ 1.05 when z = 1.2
20 - b3.2when b = 5.2
Answer:
I NOT 100% SURE BUT I THINK ITS .B)
Step-by-step explanation:
Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
8/2
X =
45°
K
30°
Basic
Answer:
\(x = 45\)
Step-by-step explanation:
See attachment for complete question.
From the attachment, we have that x and 3x are on a straight line
and angle on a straight line sum up to 180
In other words:
\(x + 3x = 180\)
\(4x = 180\)
Divide through by 4
\(\frac{4x}{4} = \frac{180}{4}\)
\(x = \frac{180}{4}\)
\(x = 45\)
Hence, the measure of x is 45 degrees
Answer:
The answer is 4. I took the quiz.
Step-by-step explanation:
A bag of candy has 21 orange, 18 red, and 10 yellow candies. What is the probability that an orange will be drawn first and then a red (without replacement)?
Answer:
9/56Step-by-step explanation:
There are:
21 orange candies18 red candies10 yellow candiesTotal number:
21 + 18 + 10 = 49Required probability is:
P(o, r) = 21/49*18/48 = 9/56Total candies
21+18+1049After 1 replacement
49-1=48So
P(candy,red)
21/49×18/489/56What would it be? Is it one of the answers I choose ?
Answer:
Step-by-step explanation:
A: 4/13 B: 9/13
Would be correct
Help please
What is the slope of the line:
3y - 4 = 5 (x + 2)
Answer:
The answer is m = 5/3
Step-by-step explanation:
what is the equation of the line that has a slope of 0 and passes through the point (4,-3)?
Find the measure of the angle to the nearest degree. Make sure to include your steps. PLEASE I NEED HELPPPP FASTT
a) sin A = 0.6018
b) cos B = 0.9205
c) tan C = 0.0349
Answer:
Sure, I can help with that! Here are the steps to solve each problem:
a) Since sin A = 0.6018, we can use the inverse sine function (sin^-1) to find the measure of angle A. Taking the inverse sine of 0.6018 gives us 37.19 degrees rounded to the nearest degree.
b) Since cos B = 0.9205, we can use the inverse cosine function (cos^-1) to find the measure of angle B. Taking the inverse cosine of 0.9205 gives us 23.06 degrees rounded to the nearest degree.
c) Since tan C = 0.0349, we can use the inverse tangent function (tan^-1) to find the measure of angle C. Taking the inverse tangent of 0.0349 gives us 2.00 degrees rounded to the nearest degree.
I hope that helps! Let me know if you need any further assistance.
Enter a positive value for d that makes this statement true: 34×d is less than 34 but greater than zero HELP PLSS FASTT
Answer:
0.5 (any number between 0 and 1)
Step-by-step explanation:
34 * 0.5 = 17
34 > 17 > 0
B =
Round your answer to the nearest hundredth.
please help
Answer:
26.39
Step-by-step explanation:
sin B = 4/9
B = inverse sin 4/9 = 26.387
Type 540,000,000 as a floating-point literal using scientific notation with a single digit before and after the decimal point. Check Show answer 4) Type 0.000001 as a floating point literal using scientific notation with a single digit before and after the decimal point. Check Show answer 5) Type 623.596 as a floating point literal using scientific notation with a single digit before and five digits after the decimal point. Check Show answer
Type 540,000,000 as a floating-point literal using scientific notation with a single digit before and after the decimal point is 5.4e8
What is floating-point literal?Numbers with a decimal point or an exponential component are known as floating-point literals. Real literals are one way to describe them. binary literals for floating points. Hexadecimal literals for floating points (C only). An exponent, a decimal point, a fractional part, and an integer part are all components of a floating-point literal. Either decimal form or exponential form can be used to express floating point literals. A floating point number is a full number that has a decimal point and can be positive or negative. In contrast to 91 and 0, floating point numbers include anything like 5, 0, 25, and -103.342. Because the decimal point can "float" to any required position, floating point numbers receive their name.Type 540,000,000 as a floating-point literal using scientific notation with a single digit before and after the decimal point is 5.4e8.
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A triangle has sides with lengths 8, 15, and 17.
a. Verify this is a Pythagorean triple.
Type your response in the space below.
b. Approximate the acute angles in this triangle. Round each angle to the nearest degree.
Type the answers in the boxes below.
The values 8, 15 and 17 is a Pythagorean triple and therefore a right angle triangle.
What is Pythagoras TripleA Pythagorean triple is a set of three positive integers, a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right-angled triangle, where c is the hypotenuse.
In this problem, we can we can check if the values are for a right angle triangle.
Assuming this is a right angle triangle which obeys Pythagoras theorem, the longest side will be the hypothenuse.
c = hypothenuse = 17a = leg = 15b = 8c² = a² + b²
17² = 15² + 8²
289 = 225 + 64
289 = 289
From the calculation above, the values of is a Pythagorean triple.
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What is the common difference of -10, -190, -390, -590
Answer:
-200
Step-by-step explanation:
indicate if dijkstra's algorithm will be able to find the shortest path for this particular graph. (assume the source vertex is m) yes no it will loop forever the algorithm will never start
By using Dijkstra's algorithm, it can be concluded that-
It will loop forever.
Third option is correct
What is Dijkstra's algorithm?
Dijkstra's algorithm is used to find the shortest path between the nodes of a graph.
Here, a node is fixed which is called the source node and the distance from the source node to all other nodes are calculated.
The minimum distance gives the shortest path.
For the first option,
The first option is incorrect because the shortest path will not be obtained. There does not exist path between every pair of vertices
For the second option
The second option is incorrect because all the conditions of Dijkstra's algorithm are fulfilled but here, infinite looping takes place.
For the fourth option
The fourth option is incorrect because there exist a path between the point M and every other vertex in the graph.
So the third option is correct
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Complete Question
The complete question has been attached