The length of a square is 16m, what is the breadth of the square​

Answers

Answer 1
Answer:

Answer:

The breadth is 16m because a square is a quadrilateral (four sided shape) that has all its side to be of equal measure.


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Wisconsin Public Radio wants to duplicate a survey conducted in 2011 that found that 68% of adults living in Wisconsin felt that the country was going in the wrong direction. How many people would need to be surveyed for a 90% confidence interval to ensure the margin of error would be less than 3%? Be sure to show all your work and round appropriately

Answers

Answer:

655 people would need to be surveyed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{(\pi(1-\pi))/(n)}

In which

z is the zscore that has a pvalue of 1 - (\alpha)/(2).

In this question, we have that:

\pi = 0.68

The margin of error is:

M = z\sqrt{(\pi(1-\pi))/(n)}

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - (0.1)/(2) = 0.95, so Z = 1.645.

How many people would need to be surveyed for a 90% confidence interval to ensure the margin of error would be less than 3%?

We need to survey n adults.

n is found when M = 0.03. So

M = z\sqrt{(\pi(1-\pi))/(n)}

0.03 = 1.645\sqrt{(0.68*0.32)/(n)}

0.03√(n) = 1.645√(0.68*0.32)

√(n) = (1.645√(0.68*0.32))/(0.03)

(√(n))^(2) = ((1.645√(0.68*0.32))/(0.03))^(2)

n = 654.3

Rounding up

655 people would need to be surveyed.

What is the measure of angle d?
A. d=59
B. d=114
C. d=55
D. d=66

Answers

Answer:

A. d = 59°

Step-by-step explanation:

We know that the 3 angles added up together are a straight line or 180°. Therefore,

m∠d° = 180 - (57 + 64)

Answer: D. 59

Step-by-step explanation:

57 + 64 + d = 180°

121 + d = 180°

180 - 121 = 59°

Hope this helps!

Stanley is building a rectangular fence 44feet of fencing. If the width is two less than half the length, what is the width of the fence? Write an equation and solve.

Answers

Answer:

The width of the fence measures 6 feet

Step-by-step explanation:

Firstly, we assign variables.

Let the width of the fence be represented by w and the length by l

Now let’s get what the length would be. width is 2 less than half length

w = l/2 - 2

or simply l/2 = w + 2

which is same as l = 2(w + 2)

Now the perimeter of the fencing is 44. The perimeter of a rectangle can be calculated using the formula

P = 2(l + w)

Now let’s insert what we have:

P = 44 and l = 2(w + 2)

44 = 2(2(w+2) + w)

44 = 2(2w + 4 + w)

44 = 2(3w + 4)

44 = 6w + 8

6w = 44-8

6w = 36

w = 36/6

w = 6 feet

Step-by-step explanation:

the width of the fence is 6 feet. Let's denote the length of the rectangular fence as "L" and the width as "W." According to the problem, we have two pieces of information:

1. The total length of fencing available is 44 feet, which means the perimeter of the rectangle (the sum of all sides) should be 44 feet. The formula for the perimeter (P) of a rectangle is P = 2L + 2W.

2. The width is two less than half the length, which can be written as: W = (1/2)L - 2.

Now, we can set up an equation using this information and solve for the values of L and W:

First, we have the perimeter equation:

2L + 2W = 44

Now, we can substitute the expression for W from the second piece of information:

2L + 2((1/2)L - 2) = 44

Now, simplify and solve for L:

2L + (L - 4) = 44

Combine like terms:

3L - 4 = 44

Add 4 to both sides:

3L = 48

Now, divide by 3:

L = 48 / 3

L = 16

Now that we've found the length (L), we can find the width (W) using the second piece of information:

W = (1/2)L - 2

W = (1/2)(16) - 2

W = 8 - 2

W = 6

So, the width of the fence is 6 feet.

To know more about width:

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Which inscribed angles intercept arc RS?

Answers

Answer:

A.\angle RPS

C.\angle SQR

Step-by-step explanation:              

We have been given a diagram of a circle and we are asked to find the inscribed angles which intercept arc RS.                              

Since we know that inscribed angles are formed by the intersection of two secant lines in the interior of a circle. The vertex of inscribed angles lies on the circle.        

A. Upon looking at our diagram we can see that vertex of angle SQR lies on our given circle and intercepts to arc RS, therefore, option A is the correct choice.  

B. We can see that vertex of angle RTS is not on the circle. Since inscribed angle is an angle with its vertex 'on' the circle, therefore, option B is not a correct choice.  

C. We can see that vertex of angle RPS lies on our given circle and also intercept to arc RS, therefore, option C is the correct choice.  

D. Angle RSP intercepts to arc RQP, therefore, option D is not a correct choice.

The answer is <RPS and <SQR for anyone else who needs the answer.

A rectangular block has a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. Four blocks are stacked to create a tower. What is the volume of the tower? O A. 56 in 3 O B. 140 in 3 O C. 280 in O D. 336 in

Answers

The volume of the tower is 224 in³, which is not listed among the given options.

To find the volume of the rectangular block, we need to multiply its length, width, and height. Therefore, the volume of the single block is:
8 x 3.5 x 2 = 56 cubic inches.
Since we are stacking four blocks to create a tower, we need to multiply the volume of a single block by 4.

Thus, the volume of the tower is:
56 x 4 = 224 cubic inches.
The volume of a rectangular block can be found using the formula,

V = length × width × height.

In this case, the length is 8 inches, the width is 3.5 inches, and the height is 2 inches.

V = 8 × 3.5 × 2 V

= 28 × 2 V

= 56 in³

Now that we know the volume of one block, we can find the volume of the tower created by stacking four blocks. Tower volume = block volume × number of blocks Tower volume = 56 in³ × 4 Tower volume = 224 in³

For similar question on volume:

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1. Two angles are supplementary. Angle 1 measures4x + 6 degrees and Angle 2 measures 38 degrees.
What is the value of x? *
doaroor​

Answers

Answer:

34 degrees

Step-by-step explanation:

supplementary Angles are pair of angles whose sum is 180 degrees.

Given

Angle 1 =4x + 6 degrees

Angle 2 = 38 degrees

Condition : angles are supplementary Angles

therefore

Angle 1 + Angle 2 =180

4x+6+38 = 180

=>4x+44 = 180

=> 4x = 180-44

=> 4x= 136

=>x = 34

Thus value of x is 34 degrees.