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3 years ago

Given rectangle. Find area of trapezoid. (4 points)

Mathematics

2 answers:

Butoxors [25]3 years ago

7 0

Step-by-step explanation:

formula of trapezoid's area =1/2(a+b)(height)

a/b= upper or below part of trapezoid

area of trapezoid=1/2 (4+7)(5)

=1/2 (11)(5)

=27.5cm²

FrozenT [24]3 years ago

4 0

Answer: 27.5 cm2(last answer)

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Can someone solve this! Need it done soon

Airida [17]

Answer:

117.5 ft²

Step-by-step explanation:

To find the area of the shaded area, we can find the area of the square, then subtract the areas of the two semicircles.

First, we will find the area of the given square, by using the formula $lw$ , multiplying the length and width. The dimensions of this square are 14×14.

14 · 14 = 196

The area of the square is 196 ft².

We can now find the area of the two congruent half-circles. Since they are identical, we can simply find the area of one circle if it was whole. To find the area of a circle, we'll use the formula $A=\pi r^2$ . With some simple deduction, we can see that the diameter of the circle is 10 ft, so the radius would be 5 ft long. Plug our values into the formula.

A = $\pi$ 5²

We will use 3.14 for $\pi$ .

A = 78.5

The area of both the semicircles is 78.5 ft².

Now, we can subtract.

196 - 78.5 = 117.5

The area of the figure is 117.5 ft².

Good luck ^^

7 0

3 years ago

To find the quotient 3/4 divided by 1/8

vfiekz [6]

Answer:

Step-by-step explanation:

3 0

3 years ago

The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 13001300

Ket [755]

Answer:

No, there is not enough evidence at the 0.02 level to support the strategist's claim.

Step-by-step explanation:

We are given that a political study took a sample of 1300 voters in the town and found that 57% of the residents favored construction.

And, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 54%, i.e;

Null Hypothesis, $H_0$ : p = 0.54 {means that the percentage of residents who favor construction is 54%}

Alternate Hypothesis, $H_1$ : p > 0.54 {means that the percentage of residents who favor construction is more than 54%}

The test statistics we will use here is;

T.S. = $\frac{\hat p -p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } }$ ~ N(0,1)

where, p = actual percentage of residents who favor construction = 0.54

$\hat p$ = percentage of residents who favor construction in a sample of

1300 voters = 0.57

n = sample of voters = 1300

So, Test statistics = $\frac{0.57 -0.54}{\sqrt{\frac{0.57(1- 0.57)}{1300} } }$

= 2.185

Now, at 0.02 significance level, the z table gives critical value of -2.3263 to 2.3263. Since our test statistics lie in the range of critical values which means it doesn't lie in the rejection region, so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the percentage of residents who favor construction is 54% and the strategist's claim is not supported.

4 0

3 years ago

Suppose we want to choose 5 objects, without replacement, from 9 distinct objects. (a) How many ways can this be done, if the or

7nadin3 [17]

Answer:

a. 126

b. 15120

Step-by-step explanation:

5 chose 9 = 9 * 8 * 7 * 6 * 5/1/2/3/4/5 = 126

if order matters...

9*8*7*6*5 = 15120

3 0

3 years ago

1 point

denis23 [38]

Answer:

128cm

Step-by-step explanation:

since there are 4 triangles that have an area of 8*4 each, you can multiply 8*4 together to get 32. Then you would multiply 32 by 4 to get the entire area of the whole figure.

8 0

3 years ago