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2 years ago

A. A cylinder just fits into a cube of side length 36 m Calculate the percentage

Mathematics

1 answer:

Nataliya [291]2 years ago

4 0

Answer:

21.5%

Step-by-step explanation:

volume of cube: 36x36x36

volume of cylinder: πx18²x36

Cylinder percentage: (πx18²x36) / 36x36x36 = π / 4 = 0.785

percentage of empty space: 1 - 0.785 = 0.215 (21.5%)

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Faye pays her family phone bill, and Jonathan’s family phone bill with her card and jonathan pays her back. If Faye bill is $120

nika2105 [10]

Answer:

Jonathan has to pay Faye back US$ 240

Jonathan has 4 people on his bill and Faye has 6.

Step-by-step explanation:

1. Let's find out the amount of the phone bills, this way:

Total of the two bills = US$ 600

Faye's bill = US$ 120 more than Jonathan's

Jonathan's bill = x

Solving for x, we can use this equation:

x + x + 120 = 600

2x + 120 = 600

2x = 600 - 120

2x = 480

x = 480/2 = 240

Jonathan has to pay Faye back US$ 240

2. Let's find out the number of people on each bill, this way:

Faye has two people more on her bill than Jonathan

Number of people on Jonathan's bill = x

Number of people on Faye's bill = x + 2

We will use the following equation:

240 * (x + 2) = 360x

240x + 480 = 360x

240x - 360x = -480

-120x = - 480

x = -480/-120

x = 4 ⇒ x + 2 = 6

Jonathan has 4 people on his bill and Faye has 6.

5 0

3 years ago

Find the value or measure. Assume all lines that appear to be tangent are tangent. X=

aev [14]

According to the secant-tangent theorem, we have the following expression:

$(x+3)^2=10.8(19.2+10.8)$

Now, we solve for x.

$\begin{gathered} x^2+6x+9=10.8(30) \\ x^2+6x+9=324 \\ x^2+6x+9-324=0 \\ x^2+6x-315=0 \end{gathered}$

Then, we use the quadratic formula:

$x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

Where a = 1, b = 6, and c = -315.

$\begin{gathered} x_{1,2}=\frac{-6\pm\sqrt[]{6^2-4\cdot1\cdot(-315)}}{2\cdot1} \\ x_{1,2}=\frac{-6\pm\sqrt[]{36+1260}}{2}=\frac{-6\pm\sqrt[]{1296}}{2} \\ x_{1,2}=\frac{-6\pm36}{2} \\ x_1=\frac{-6+36}{2}=\frac{30}{2}=15 \\ x_2=\frac{-6-36}{2}=\frac{-42}{2}=-21 \end{gathered}$ <h2>Hence, the answer is 15 because lengths can't be negative.</h2>

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1 year ago

If a square has a perimiter of 40 yards what is the length of one side of the square

dimaraw [331]

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3 years ago

AB¯¯¯¯¯ has end points at A (0, 5) and B (0, 0) . A transformation is performed on AB¯¯¯¯¯ and the image is A'B'¯¯¯¯¯¯¯ with end

Sati [7]

I did this but im not very good at it :( but i think the answer is either A or D sorry if im wrong :(

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3 years ago

A jewelry sells gold and platinum rings. Each ring is available in eight styles and is fitted with one of ten gemstone

katrin [286]

Answer: There are 160 different rings.

Step-by-step explanation:

The question is missing, i guess you want to know the number of different rings that the jewelry has:

For the material we have 2 options.

For the stile we have 8 options

For the gem we have 10 options.

Now, the total number of possible combinations is equal to the product of the number of options for each selection, this is:

Combinations = 2*8*10 = 160

4 0

3 years ago