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2 years ago

Simplify This Radical Expression

Mathematics

1 answer:

balandron [24]2 years ago

5 0

Answer:

The answer is: -0.5198

Step-by-step explanation:

CUBERT(8) – CUBERT(16) is the cube root of 8 - cube root of 16:

CubeRT(8) - CubeRT(16) =

2 - 2.5198 = -0.5198

Hope this helps! Have an Awesome day!! :-)

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3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie

allsm [11]

Answer:

<em>The building is 61.5 m tall</em>

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

$\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 53^\circ=\frac{150-x}{h}$

$\displaystyle \tan 48^\circ=\frac{x}{h}$

From the last equation:

$x=h.\tan 48^\circ$

Substituting into the first equation:

$\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}$

Operating on the right side:

$\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ$

Rearranging:

$\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}$

Solving for h:

$\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}$

Calculating:

h = 61.5 m

The building is 61.5 m tall

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2 years ago

Which transformation will create a similar and a congruent triangle?

Reptile [31]

I believe it’s translation

7 0

2 years ago

How to solve the first problem need urgently

soldi70 [24.7K]

1000²=313²+x²
cosΘ= $\frac{x}{1000}$

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2 years ago

Question 5 :)) What is the measure of the missing angle?

Stella [2.4K]

The answer is 115 because the interior angle is 65 and 115 plus 65 is 180. You want 180 because the angles are opposite and make a straight line

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2 years ago

Graph the line -1 passing through the point (-4,5)

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

If you want to find the equation of line with a given a slope of which goes through the point (-4,5), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---

where is the slope, and is the given point

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)

Distribute

Multiply and to get

Add -1 to both sides to isolate y

Combine like terms and to get the answer

So the equation of the line with a slope of which goes through the point (-4,5) is:

which is now in y=mx = b form where the slope is m=-4/5 and the y-intercept is b=1

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2 years ago