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diamong [38]
3 years ago
11

A trapezoid has an area of 80 square centimeters. If the trapezoid has a base measuring 8 centimeters and a height of 8 centimet

ers, what is the length of the other base?
Mathematics
1 answer:
jeyben [28]3 years ago
4 0
Let
x-------> the length of the base one
y------> the length of the base two

we know that
area of an trapezoid=[x+y]*h/2----> 2*A/h=x+y----> y=[2*A/h]-x
area=80 cm²
x=8 cm
h=8 cm
y=?
y=[2*A/h]-x----> y=[2*80/8]-8-----> y=12 cm

the answer is
<span>the length of the other base is 12 cm</span>
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Answer:

The sample proportion of printers used in small business is:

\hat{p}=\frac{25}{70}=0.3571

The 95% confidence interval for the population proportion of printers that are used in small businesses is:

\hat{p} \pm z_{\frac{0.05}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n} }

Where:

z_{\frac{0.05}{2}}=1.96 is the critical value at 0.05 significance level

\therefore 0.3571 \pm 1.96 \sqrt{\frac{0.3571(1-0.3571)}{70} }

         0.3571 \pm 0.1122

         \left ( 0.3571 - 0.1122, 0.3571 + 0.1122 \right)

         \left(0.245,0.469 \right)

Therefore, the 95% confidence interval for the population proportion of printers that are used in small businesses is (0.245 , 0.469)



7 0
3 years ago
The rational number -28 is equal to?
yuradex [85]
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8 0
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How many different combinations of pennies, nickels, dimes, quarters, and half dollars can a piggy bank contain if it has 20 coi
ycow [4]
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F(x)=x² – 4x – 2<br> g(x)=x+7<br> Find: (f + g)(x)
dusya [7]

Answer:

(f + g)(x) = x² - 3x + 5

Step-by-step explanation:

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9. Find the length of the arc shown in brown. Leave your answer in terms of 2 (1 point)
Nadusha1986 [10]

The length of the arc is 4π.

<u>Step-by-step explanation</u>:

Given,

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  • r = 24/2 = 12 ft
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Arc length = ∅/360° (2πr)

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⇒ 24π/6

⇒ 4π

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