Solve for x.

A) 10.5
B) 10
C) 6√3
D) 20

Answers

Answer 1

Answer: There are three right triangles in this figure. Set up Pythagorean theorem for each of them.
Let y be the altitude of the largest triangle.
Let z be the left side.
We have for large triangle:
x² + z² = (9+3)²
For left sub-triangle:
y² + 3² = z²
For right sub-triangle:
y² + 81 = x²

So the three equations are
x² + z² = 144
y² + 9 = z²
y² + 81 = x²

Solve last equation for y², plug into second equation, solve that for z² in terms of x², and lastly plug z² into the first equation to find
x² + x² - 72 = 144
2x² = 216
x² = 108
x = √108 = √(36·3) = 6√3

The answer is C) 6√3

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C(-2,-1), K(8,3) find distance between each pair of points

Answers

D=square root sign (x2-x1)^2+(y2-y1)^2
If u need help plugging the numbers in lmk.

A cylinder has a height of 5 meters and a diameter that is 4 times the measure of the height. Using 3.14 for pi, which of the following can be used to calculate the volume?

Answers

The volume of the cylinder 1,570 square meter. This is calculated using the formula volume is equal to height times Pi times radius squared. We first solve the radius which is 5 meters times 4 equals to 20 meters, this is the diameter of cylinder. But we need the radius, so 20 meters divided by 2 is equals to 10. Then substituting the given figure to the formula, Volume = 5 (3.14) (10), it will give us 1,570 square meter.

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find F{G[H(2)]}.

Answers

Answer:

Step-by-step explanation:

Evaluate from the inside out, that is

Evaluate h(2) , then use the value obtained to evaluate g(x) and the value obtained here to evaluate f(x) , that is

h(2) = 2² = 4 , then

g(4) = 3(4) + 2 = 12 + 2 = 14, then

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Dylan started with 10,000 baseball cards to sell. In each subsequent week, Dylan started with approximately 85% of the previous week's starting number of cards. What is the explicit rule for the number of cards Dylan starts with in week n and approximately how many cards will he start with in the 6th week? Round to the nearest card. Drag and drop the answers into the boxes to match the situation. Explicit rule Amount of cards after the 6th week.

Answers

Answer:

Number of cards at week n = 10,000(0.85)^(n-1).

At week 6 Dylan has 4437 cards.

Step-by-step explanation:

At the start of week 1 he had 10,000 = 10,000(0.85)^0 cards.

So at the start of week 2 he had 10,000(0.85)^(2-1) cards.

Number of cards for week n = 10,000(0.85)^(n-1).

Number of he will have at the start of the 6th week

= 10,000(0.85)^(6-1)

= 4437 cards (answer).

What is the probability (rounded to the nearest whole percent) that a randomly selected gym member would buy passion fruit vitamin water but not tropical grape vitamin water?54%
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Answers

The probability (rounded to the nearest whole percent) that a randomly selected gym member would buy passion fruit vitamin water but not tropicalgrape vitamin water is 17 percent.

Simplify the expression.
(-8.6) ^0
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-8.6
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