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3 years ago

What is the approximate area of the circle shown below?

Mathematics

1 answer:

Lelu [443]3 years ago

6 0

Hey there!

Formula: πr^2

r = radius

pi = 3.1415926535898 (but we can say it approximately equals 3.14)

Your equation (3.14)(4.2)^2 = answer

4.2^2 = 4.2 × 4.2 = 17.64

New equation: 17.64 × 3.14 = 55.3896

We round our answer to the nearest tenth

Answer: 55.4 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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Question: A box of chocolates contains square chocolates, which weigh 10 g each, and round chocolates, which weigh 8 g each. The

Viktor [21]

Answer: the box contained 9 square chocolates and 15 round chocolates.

Step-by-step explanation:

Let x represent the number of square chocolates contained in the box.

Let y represent the number of round chocolates contained in the box.

The box of chocolates contains square chocolates, which weigh 10g each and round chocolates which weigh 8g each. The combined weight of all the chocolates is 210g. It means that

10x + 8y = 210- - - - - - - - - - -1

The number of round chocolates is 3 less than twice the number of square chocolates. It means that

y = 2x - 3

Substituting y = 2x - 3 into equation 1, it becomes

10x + 8(2x - 3) = 210

10x + 16x - 24 = 210

26x = 210 + 24

26x = 234

x = 234/26

x = 9

y = 2x - 3 = 2 × 9 - 3

y = 18 - 3

y = 15

3 0

3 years ago

On a number line, point S has coordinate 4.8 and point T has coordinate –2.3.

Ilya [14]

Answer:

The only answer that would work would be D) | 4.8 - ( -2.3) |

Step-by-step explanation:

This is because the distance is the absolute value of the difference of the two numbers. B and C would also work, but the 2.3 is not negative. A does not work because it is addition.

3 0

3 years ago

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.

Zepler [3.9K]

Answer:

option-C

Step-by-step explanation:

We are given row-echelon form

So, we can write equation from matrix as

$x-5z=-3$

$y-4z=-5$

Let's assume

$z=t$

now, we can find x and y

$x-5t=-3$

$x=5t-3$

$y-4t=-5$

$y=4t-5$

so, we get solutions as

$x=5t-3$

$y=4t-5$

$z=t$

where t can be any real numbers

6 0

3 years ago

Read 2 more answers

On Halloween, a man presents a child with a bowl containing eight different pieces of candy. He tells her that she may have thre

likoan [24]

Answer:

$56$ choices

Step-by-step explanation:

We know that we'll have to solve this problem with a permutation or a combination, but which one do we use? The answer is a combination because the order in which the child picks the candy <u><em>does not</em></u> matter.

To further demonstrate this, imagine I have 4 pieces of candy labeled A, B, C, and D. I could choose A, then C, then B or I could choose C, then B, then A, but in the end, I still have the same pieces, regardless of what order I pick them in. I hope that helps to understand why this problem will be solved with a combination.

Anyways, back to the solving! Remember that the combination formula is

$_nC_r=\frac{n!}{r!(n-r)!}$ , where n is the number of objects in the sample (the number of objects you choose from) and r is the number of objects that are to be chosen.