All categories

2 years ago

Please help me out with this

Mathematics

1 answer:

Anettt [7]2 years ago

7 0

Answer:

81.75 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = $\frac{1}{2}$ h (a + b)

where a, b are the parallel bases and h is the perpendicular height

Calculate h using the right triangle and the sine ratio

sin30° = $\frac{opposite }{hypotenuse}$ = $\frac{h}{10}$

Multiply both sides by 10

10 × sin30° = h, thus

h = 5

a = 12 and b = 8.7 + 12 = 20.7, hence

A = $\frac{1}{2}$ × 5 × (12 + 20.7)

= 0.5 × 5 ×32.7

= 81.75 ft²

You might be interested in

The surface area of a cone is 54 square inches. What is the surface area of a similar cone that is three times as large?

12345 [234]

Given:

Given that the surface area of the cone is 54 square inches.

We need to determine the surface area of the cone that is similar to the cone three times large.

Surface area of the similar cone:

Let us determine the surface area of the similar cone.

The surface area of the similar cone can be determined by multiplying the surface area of the cone by 3. Because it is given that the similar cone is three times large.

Thus, we have;

$SA = 3 \times 54$

$SA=162$

Thus, the surface area of the similar cone is 162 square inches.

6 0

2 years ago

The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.917 g and a standard deviation

Nutka1998 [239]

Answer:

$z = \frac{0.872-0.917}{\frac{0.303}{\sqrt{37}}}= -0.903$

And we can find this probability to find the answer:

$P(z$

And using the normal standar table or excel we got:

$P(z$

Step-by-step explanation:

Let X the random variable that represent the amounts of nocatine of a population, and for this case we know the distribution for X is given by:

$X \sim N(0.917,0.303)$

Where $\mu=0.917$ and $\sigma=0.303$

We have the following info from a sample of n =37:

$\bar X= 0.872$ the sample mean

And we want to find the following probability:

$P(\bar X \leq 0.872)$

And we can use the z score formula given by;

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for the value of 0.872 we got:

$z = \frac{0.872-0.917}{\frac{0.303}{\sqrt{37}}}= -0.903$

And we can find this probability to find the answer:

$P(z$

And using the normal standar table or excel we got:

$P(z$

6 0

2 years ago

The given statement is true or t (-4+6i)-(12-5i) = -16+ i

Pavel [41]

The answer is x=mc^2

8 0

10 months ago

Read 2 more answers

Which property is

9966 [12]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Glenn rode his bike for 2 hours

Natali5045456 [20]

Cool. I rode mine for 1.

5 0

2 years ago

Read 2 more answers