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3 years ago

Pls help help me need help!!

Mathematics

1 answer:

Lesechka [4]3 years ago

7 0

Answer:

|-30| + |25|

Step-by-step explanation:

The helicopter is 25 ft above the ledge. The stunt actor is 30 below the edge. The distance from the helicopter to the stunt actor is the sum of the two distances, 25 + 30 = 55 ft. The correct expression must equal 55.

A. |-30| + |25| = 30 + 25 = 55

B. -30 - 25 = -55

C. -30 + 25 = -5

D. |-30| - |25| = 30 - 25 = 5

The correct expression is |-30| + |25| since it it the only expression that equals 55.

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4 years ago

Use the tangent identity to

Lunna [17]

Answer:

$tan(x)=\frac{44\sqrt{89}}{89}$

Step-by-step explanation:

tan is defined as: $tan(x)=\frac{opposite}{adjacent}$

sin is defined as: $sin(x)=\frac{opposite}{hypotenuse}$

cos is defined as: $cos(x)=\frac{adjacent}{hypotenuse}$

We can also define tan as: $tan(x)=\frac{sin(x)}{cos(x)}$

because plugging in the definitions of sin and cos in we get: $tan(x)=\frac{(\frac{opposite}{hypotenuse})}{(\frac{adjacent}{hypotenuse})}\\\\tan(x)=\frac{opposite}{hypotenuse}*\frac{hypotenuse}{adjacent}\\\\tan(x)=\frac{opposite}{adjacent}$

which you'll notice is the original definition of tan(x)

So using this definition of tan(x) we can use the givens sin(x) and cos(x) to find tan(x)

$sin(x)=\frac{44}{45}\\\\cos(x)=\frac{\sqrt{89}}{45}\\\\tan(x)=\frac{sin(x)}{cos(x)}$

plugging in sin(x) and cos(x) we get:

$tan(x)=\frac{\frac{44}{45}}{\frac{\sqrt{89}}{45}}\\\\tan(x)=\frac{44}{45}*\frac{45}{\sqrt{89}}\\\\tan(x)=\frac{44}{\sqrt{89}}$

We usually don't like square roots in the denominator, and from here we want to rationalize the denominator which we do by removing the square root from the denominator.

We can do this by multiplying the fraction by: $\frac{\sqrt{89}}{\sqrt{89}}$ which doesn't change the value of the fraction since it simplifies to 1, but it gets rid of the square root in the denominator

$tan(x)=\frac{44}{\sqrt{89}}*\frac{\sqrt{89}}{\sqrt{89}}\\\\tan(x)=\frac{44\sqrt{89}}{89}$

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1 year ago

a vase has the shape of a rectangular prism. the inside of the vase is also a rectangular prism. what is the volume of the solid

MrRa [10]

We have been given that a vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. We are asked to find the volume of the solid part of the vase .

The volume of solid part of the vase is equal to volume of rectangular vase minus volume of inside of the vase.

We know that volume of rectangular prism is length times width times height.

$\text{Volume of the solid part of the vase}=25\cdot 8\cdot 10-22\cdot 5\cdot 4$

$\text{Volume of the solid part of the vase}=2000-440$

$\text{Volume of the solid part of the vase}=1560$

Therefore, the volume of the solid part of the vase is 1560 cubic cm.

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3 years ago

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Neporo4naja [7]

Answer:

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Step-by-step explanation:

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3 years ago

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Lelu [443]

Answer:

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Step-by-step explanation:

If you had to round to the nearest tenth, 0.89 would round to 0.9. 0.74 would round down to 0.7. 0.85 would also round up to 0.9, which leaves the last answer, 9.77 to be rounded to 0.8. Hope this helps

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3 years ago