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3 years ago

A birthday cake is being made using a cylindrical baking pan. The radius of the pan is 4 inches, and the height is 5 inches.

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

8 0

Answer:

the formula represent the correct way is π(4)^2 (5)

Step-by-step explanation:

The formula that represent the correct way to calculate is given below:

As we know that

Volume = πr^2 h

where

r denotes the radius i.e. 4 inches

And, h denotes the height i.e. 5 inches

Now placed these values to the above formula

So,

= π(4)^2 × 5

= 80π in^3

Hence, the formula represent the correct way is π(4)^2 (5)

aleksandrvk [35]3 years ago

5 0

Answer: the answer is D.

Step-by-step explanation:

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There are 21 ways Tim choose 2 books from the 7 recommended book

Solution:

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

The formula for combinations is:

$n C_{r}=\frac{n !}{r !(n-r) !}$

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

Substituting values in above formula, we get

$\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}$

For a number n, the factorial of n can be written as,

$n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1$

Therefore, we get

$7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21$

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

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3 years ago

What is 4(x−2)=3(2y−1) in standard form?

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Step-by-step explanation: Using the formula, Ax+By=C, write the equation in standard form.

Hope this helps you out! ☺

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3 years ago

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n200080 [17]

Answer:

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Step-by-step explanation:

We have been given a circle and we are asked to find the measure of angle AEC.

We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.

$m\angle AEC=\frac{110^o+40^o}{2}$