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1 year ago

A cylinder has a height of 7cm.

1 answer:

7 0

We first need to find the radius of the circle, so we need to do 8π/π which gives us a diameter of 8 cm, halving this gives us a radius of 4 cm.

The area of this circle will be:

A = πr^2

A = 4^2

A = 16π cm^2

Now to find the volume we simply multiply the area by the height:

16π × 7 = 112π cm^3 which is our final answer.

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In Circle O, centrally angle AOB measures π/3 radians.What is the length of arc AB?

Oksanka [162]

Answer:

$s=r*\pi /3$

Step-by-step explanation:

The length of any arc is calculated using the following equation:

s = r*θ

Where s is the length of the arc, r is the radius of the circle and θ is the angle in radians.

So, if we have a Circle O and a centrally angle AOB that measures π/3 radians, the value of the length of arc AB is calculated as:

$s=r*\pi /3$

Where r is the radius of the circle O.

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2 years ago

Help, write an expression in the simplest form that represents the area (in square feet) of the banner.

k0ka [10]

Answer:

3 (3 + x) is equal to the banner

6 0

2 years ago

Read 2 more answers

Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.

Lelechka [254]

Answer:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}} = 32$

Step-by-step explanation:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}$

Solving using exponent rule: $a^{-m}=\frac{1}{a^m}$

$\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32$

So, $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4}$

Using the exponent rule: $a^m.a^n=a^{m+n}$

We have:

$2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}$

We also know that: $a^{-m}=\frac{1}{a^m}$

Using this rule:

$2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}$

So, $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2$

Solving:

$(-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}$

So, $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}}$

We know that: $a^{-m}=\frac{1}{a^m}$

$\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32$

So, $\frac{2}{2^{-4}} = 32$

3 0

2 years ago

I purchased a scooter for $290.00 but was charged an additional 5 % for delivery. What was my total?

polet [3.4K]

Answer:

Step-by-step explanation:

304.5

4 0

2 years ago

(20 PTS) Please help!!!! I've been stuck for 1 hour already! :(

Sindrei [870]

We have: 10 + 7 = 17

Answer: 17

Ok done. Thank to me :>

7 0

1 year ago