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Sergeu [11.5K]
4 years ago
11

Solve the equation. Check your solution and show all your work. 2/3 h = 4​

Mathematics
1 answer:
AlexFokin [52]4 years ago
4 0

Answer: h=6

Step-by-step explanation:

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The prism has a volume of 160 cm3.
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In order to find the volume, you have to find the volume ratio. To find the volume ratio you have to cube the scale factor. 1/2 cubed is 1/8. Now to find the volume, you multiply the volume ratio by the volume of the original prism. 160x1/8= 20 The answer is 20cm3
7 0
3 years ago
Given SinB=.91 find the angle B in radians
labwork [276]

Hello!

As you can see, the opposite side of this angle divided by the hypotenuse is 0.91. To find B, we could multiply by the arcsine using a scientific calculator.

sin^{-1}(0.91)≈65.5

Now, we need to convert this into radians. To do so, we multiply by pi divided by 180.

\frac{\pi}{180} (65.5)≈1.14

Therefore, angle B will form an arc of about 1.14 radians.

I hope this helps!

5 0
4 years ago
Find the equation of the circle with center at (3,-2) and radius of 3.
AURORKA [14]

Answer:

The equation of the circle is (x - 3)² + (y + 2)² = 9

Step-by-step explanation:

The form of the equation of a circle is (x - h)² + (y - k)² = r², where

  • h is the x-coordinate center of the circle
  • k is the y-coordinate of the center of the circle
  • r is the radius of the circle

∵ The center of a circle is (3, -2)

∴ x-coordinate of the center is 3

∴ y-coordinate of the center is -2

∴ h = 3 and k = -2

∵ The radius of the circle is 3

∴ r = 3

→ Substitute them in the form of the equation above

∵ (x - 3)² + (y - -2)² = (3)²

∴ (x - 3)² + (y + 2)² = 9

∴ The equation of the circle is (x - 3)² + (y + 2)² = 9

3 0
3 years ago
6x2 - 5x - 4 is equivalent to:
Sophie [7]

Answer:

<em>(</em><em>2</em><em>x</em><em> </em><em>+</em><em> </em><em>1</em><em>)</em><em> </em><em> </em><em>(</em><em>3</em><em>x</em><em> </em><em>-</em><em> </em><em>4</em><em>)</em>

Step-by-step explanation:

Solution:

  • 6x² - 5x - 4
  • 6x²- (8 - 3)x - 4
  • 6x²- 8x + 3x - 4
  • 2x (3x - 4) +1 (3x - 4)
  • (2x + 1) (3x - 4)
4 0
2 years ago
Which expressions are equivalent to -96/5
12345 [234]

Answer:

irdk but papi u a rari

Step-by-step explanation:

4 0
3 years ago
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