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maks197457 [2]
3 years ago
5

Perform each indicated operation. Write each answer in simplest form, Show all steps. Write answer in simplest form.

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0
²/₉ × 3³/₄ × ¹/₃
²/₉ × ¹⁵/₄ × ¹/₃
¹/₃ × ⁵/₂ × ¹/₃
⁵/₆ × ¹/₃
⁵/₁₈
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The radius of the cone is 7 in and y = 25 in. What is the volume of the cone in terms of π? A cone with a right triangle formed
Lady bird [3.3K]

Answer:

142.1π in³

Step-by-step explanation:

Given that:

The radius (r) =  7 in

The slant height (y) = 25 in

Then the height (x) can be determined by using the Pythagoras rule:

y² = x² + r²

25² = x² + 7²

125 = x² + 49

125 - 49 = x²

x² = 76

x = √76

x = 8.7

The formula for the volume of a cone is;

= 1/3 πr²h

where;

height(h) is calculated as "x" from above = 8.7

Then;

= 1/3 × π × (7 in)² × 8.7 in

= 142.1π in³

5 0
3 years ago
Read 2 more answers
Jkl is an equilateral triangle jk= 13x+5,KL= 17X-19 AND JL= 8X+35​
stira [4]

Answer:

x = 6

Step-by-step explanation:

Since the triangle is equilateral then sides are congruent.

Equate any 2 sides and solve for x

13x + 5 = 8x + 35 ( subtract 8x from both sides )

5x + 5 = 35 ( subtract 5 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

JK = (13 × 6) + 5 = 78 + 5 = 83

KL = (17 × 6) - 19 = 102 - 19 = 83

JL = (8 × 6) + 35 = 48 + 35 = 83

ΔJKL is equilateral with side = 83

4 0
3 years ago
Find the solutions to the system of equations. Select all that apply. Y=x^2-1 y=2x-2
Sliva [168]

Answer:

Option C (1, 0)

Step-by-step explanation:

We have a system with the following equations:

y = x ^ 2-1\\\\y = 2x-2

The first equation is a parabola.

The second equation is a straight line

To solve the system, substitute the second equation in the first and solve for x.

2x-2 = x ^ 2 -1

Simplify

x ^ 2-2x + 1 = 0

You must search for two numbers that when you add them, obtain as a result -2 and multiplying both results in 1.

These numbers are -1 and -1

Therefore

x ^ 2-2x + 1= (x-1)(x-1)\\\\x ^ 2-2x + 1= (x-1)^2=0

Finally the solutions are

x = 1\\y =0

8 0
4 years ago
Read 2 more answers
Determine the value of x.<br><br><br><br> 20°<br> 30°<br> 45°<br> 60°
mars1129 [50]

30 is the value of x given of above quertion

4 0
3 years ago
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It cost $8.31 to power one laptop computer for one year. How much does it cost to power 10 for one week.
svp [43]

Answer:

$1.60

Step-by-step explanation:

1 year have 52 weeks.

8.31/52=0.16

0.16*10= 1.60

5 0
3 years ago
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