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3 years ago

find the area of each sector. Use a 3.4 as the value of pi. Round your answer to the nearest tenth. Label unit. part 2

Mathematics

1 answer:

Vlada [557]3 years ago

7 0

Answer:

153.9 m² (nearest tenth)

Step-by-step explanation:

When the angle is measured in degrees, the formula of the area of sector is:

$\frac{θ°}{360°} \times \pi {r}^{2}$

Given: r= 14m, θ= 90

Area of sector

$= \frac{90°}{360°} \times 3.14 \times {14}^{2} \\ = 153.86 \\ = 153.9 \: m^{2} \\ (nearest \: tenth)$

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3 years ago

A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1960 mailboxes t

MaRussiya [10]

Answer:

7088 m²

Step-by-step explanation:

The area of the half-cylinder is half the area of a cylinder with the same dimensions. This half-cylinder has a radius of 0.3 m and a length of 0.8 m, so its area is ...

A = πr(r +l) = π(0.3 m)(0.3 m+0.8 m) = 0.33π m² ≈ 1.0362 m²

The area of the bottom part of the box is the sum of its lateral area and its base area.

lateral area = Ph = (2(0.6m +0.8m))(0.75 m) = 2.1 m²

base area = lw = (0.8 m)(0.6 m) = 0.48 m²

The total area is then ...

total area = half-cylinder area + lateral area + base area

= 1.0362 m² +2.1 m² +0.48 m²

= 3.6162 m²

The area for 1960 mailboxes will be 1960 times this area, or ...

area for week's production = 1960 × 3.6162 m² = 7087.752 m²

It will take about 7088 square meters of aluminum to make these mailboxes.

5 0

3 years ago

PLEASE HELP!!! WILL REWARD BRAINLIEST!!!

jonny [76]

Answer:

The approximate monthly rate of growth is 1.24%

Step-by-step explanation:

we have the future value formula

$F=P(1+r)^t$

we have

$r=16\%=16/100=0.16$ ----> annual interest rate

$F=P(1+0.16)^t$

$F=P(1.16)^t$

Find the approximate monthly rate of growth

Remember that

$1\ year=12\ months$

Divide the number of periods t by 12

$F=P(1.16)^{\frac{t}{12}}$

Applying power rules property

$F=P(1.16^\frac{1}{12})^t$

$F=P(1.0124)^t}$

$1.0124-1=0.0124$

Convert to percentage

$0.0124*100=1.24\%$

therefore

The approximate monthly rate of growth is 1.24%

6 0

3 years ago

What is 3(exponent 2) multiplied by 3(exponent 3) ????

rusak2 [61]

$\huge\boxed{243}$

___________________________________________________________

$\boxed{Explanation}$

So, we have the following equation...

$3^2*3^3=(?)$

Remember $3^2$ and $3^3$ is the following...

$3^2=3*3\\3^3=3*3*3$

Therefore, $3*3=9\\3*3*3=27\\9*27=243$

So, your final answer is $\boxed{243}$ .

___________________________________________________________

$\huge\boxed{Thanks,\;Plip.}$

3 0

2 years ago

Read 2 more answers

find the area of each sector. Use a 3.4 as the value of pi. Round your answer to the nearest tenth. Label unit.​ part 2

find the area of each sector. Use a 3.4 as the value of pi. Round your answer to the nearest tenth. Label unit. part 2