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saveliy_v [14]
2 years ago
15

Three identical coins, labeled A, B, and C in the figure, lie on three corners of a square 10.0 cm on a side. Determine the x co

ordinate of each coin, xA, xB, and xC.
Mathematics
1 answer:
shepuryov [24]2 years ago
5 0
<span>The line of symmetry of the triangle bisects the right angle and the diagonal of the square.
The line is 1/2 the length of the square's diagonal :

(1/2)(10√2) = 5√2. 

</span>Let CG be a distance x from the vertex of the right angle in the triangle.
Remaining distance = 5√2 - x. 
<span>
(1)(x) = (2)(5√2 - x)</span>
x = 10√2 - 2x
<span>3x = 10√2 </span>
<span>x = (10/3)√2. 
</span>
Using Pythagorean theorem,
x^2 + y^2 = c^2
 
<span>c = (10/3)√2,
and x = y,
so 2x^2 = 200/9
x = √(100/9) = 10/3 = y. 
</span>
<span>x = y = 3.333</span>
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The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?
lyudmila [28]

Answer:

Height of cylinder (h) = (4/3)R

Step-by-step explanation:

Given:

Radius of cylinder (r1) = R

Height of cylinder (h) = H

Radius of sphere (r2) = R

Volume of cylinder = volume of sphere

Find:

Height of cylinder (h) = H = ?

Computation:

Volume\ of\ cylinder = volume\ of\ sphere\\\\ \pi (r1)^2h =\frac{4}{3} \pi (r2)^3\\\\\pi (R)^2h =\frac{4}{3} \pi (R)^3\\\\ h=\frac{4}{3}  (R)

Height of cylinder (h) = (4/3)R

4 0
3 years ago
Jack took out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what
Kruka [31]

Answer: $32,732.58

Step-by-step explanation:

To calculate the total loan payment over the course of the loan period, use the future value formula:

= Loan amount * (1 + rate) ^ number of years

As this loan is compounded monthly, you need to convert certain terms to monthly figures:

Number of periods = 6 * 12 months = 72 months

Interest = 4.5 / 12 = 0.375%

Total payment:

= 25,000 * ( 1 + 0.375%)⁷²

= $32,732.58

6 0
2 years ago
ANYONE KNOW THE ANSWER TO THIS??
mojhsa [17]

Answer:

x = 14 is your answer

Step-by-step explanation:

76 = 7x-22, so to figure it out, you first move -22 to the other side and get

76+22 = 7x.

add them together and you get 98 = 7x

7x would be your equation, so divide 98 by 7 and you get your solution

x = 14 is your answer

3 0
3 years ago
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Find the probability of rolling a 6 on a number cube and flipping heads on a coin
serious [3.7K]

Assuming that the number cube is 6 sided

6 is one number in a 6 sided cube, so the probability is: 1/6

heads is one side of the coin, with two in all: 1/2

Multiply the two fractions together

1/6 x 1/2 = 1/12

1/12 is your probability

hope this helps

4 0
3 years ago
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12 + r = 3 <br> how do i solve this?
antoniya [11.8K]
You’d have to try to get r on one side of the equation.
You can do that by subtracting 12 from both sides which would make it so
R = -9
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2 years ago
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