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likoan [24]
1 year ago
13

A box of tissues is shaped like a rectangular prism and has a volume of 288 cubic inches. The box has a height of 4 inches and a

length of 12 inches.
What is the width of the tissue box?
Mathematics
1 answer:
Gnesinka [82]1 year ago
7 0

Answer:

6 in

Step-by-step explanation:

4×12×w=288

48×w=288

/48. /48

w=6

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9. Given the point (6,-8) values of the six trig function.
lozanna [386]

Answer:

Here's what I get.

Step-by-step explanation:

9. (6, -8)

The reference angle θ is in the fourth quadrant.

∆AOB is a right triangle.

OB² = OA² + AB² = 6² + (-8)² = 36 + 64 = 100

OB = √100 = 10  

\sin \theta = \dfrac{-8}{10} = -\dfrac{4}{5}\\\\\cos \theta =\dfrac{6}{10} = \dfrac{3}{5}\\\\\tan \theta = \dfrac{-8}{6} = -\dfrac{4}{3}\\\\\csc \theta = \dfrac{10}{-8} = -\dfrac{5}{4}\\\\\sec \theta = \dfrac{10}{6} = \dfrac{5}{3}\\\\\cot \theta = \dfrac{6}{-8} = -\dfrac{3}{4}

10. cot θ = -(√3)/2

The reference angle θ is in the second quadrant.

∆AOB is a right triangle.

OB² = OA² + AB² = (-√3)² + (2)² = 3 + 4 = 7

OB = √7

\sin \theta = \dfrac{2}{\sqrt{7}} = \dfrac{2\sqrt{7}}{7}\\\\\cos \theta = \dfrac{-\sqrt{3}}{\sqrt{7}} = -\dfrac{\sqrt{21}}{7}\\\\\tan \theta = \dfrac{2}{-\sqrt{3}} = -\dfrac{2\sqrt{3}}{3}\\\\\csc \theta = \dfrac{\sqrt{7}}{2} \\\\\sec \theta = \dfrac{\sqrt{7}}{-\sqrt{3}} = -\dfrac{\sqrt{21}}{3}\\\\\cot \theta = -\dfrac{\sqrt{3}}{2}

3 0
2 years ago
A number cube that has sides numbered 1 through 6 is rolled 240 times. How many times would you expect the result to be a number
love history [14]

Answer:

80

Step-by-step explanation:

8 0
2 years ago
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Kim's class voted on a location for a field trip. 3/4 of the class voted for the museum. 1/8 of the class voted for the zoo. The
RUDIKE [14]

Answer:

1/8

Step-by-step explanation:

3/4 is the same as 6/8. 6/8 plus 1/8 is 7/8. 8/8 minus 7/8 is 1/8.

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3 years ago
A recipe for banana bread requires 5/8 cups of milk Julio wants to make 2/3 of the recipe how many cups of milk should Julio use
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- Julio Should use 10/24 or 5/12 Cups Of Milk
3 0
3 years ago
X²-7=0 extracting square roots​
Irina-Kira [14]

Answer:

x = ± \sqrt{7}

Step-by-step explanation:

Given

x² - 7 = 0 ( add 7 to both sides )

x² = 7 ( take the square root of both sides )

x = ± \sqrt{7}

4 0
2 years ago
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