2 years ago

Find the value of x.

Mathematics

1 answer:

Lilit [14]2 years ago

5 0

Answer: 26.5

Step-by-step explanation:

You can turn the second half of the shape into a right triangle, which has 180 degrees. With the right angle, you can set the two angles up to 90 degrees.

x + (3x-16) = 90

4x - 16 = 90

+ 16 + 16

4x = 106

/ 4 / 4

x = 26.5

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From a radar station, the angle of elevation of an approaching airplane is 32.5 degree. The horizontal distance between the plan

denis23 [38]

Answer: 42.21 km

Step-by-step explanation:

We can solve this using trigonometry, since we have the following data:

$\theta=32.5\°$ is the the angle of elevation

$d=35.6 km$ is the horizontal distance between the plane and the radar station

$x$ is the hypotenuse of the right triangle formed between the radar station and the airplane

Now, the trigonometric function that will be used is <u>cosine</u>:

$cos\theta=\frac{d}{x}$ because $d$ is the adjacent side of the right triangle

$cos(32.5\°)=\frac{35.6 km}{x}$

Finding $x$ :

$x=\frac{35.6 km}{cos(32.5\°)}$

$x=42.21 km$

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3 years ago

In how many ways can 5 different books be arranged on a shelf? 5 24 120

vlabodo [156]

120 ways. More details in attachment.

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2 years ago

The perimeter of the square at the left is 48 inches

andrey2020 [161]

The perimeter of the square is 48

There are 4 equal-length sides to the square, making each side 12 in. in length

to find the area, multiply two sides of the perimeter

12 x 12 = 144

Perimeter: 48
Side: 12
Area: 144

hope this helps

8 0

3 years ago

Plsss help with 4,5,6, or 7

kherson [118]

Answer:

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Step-by-step explanation:

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3 years ago

Which expression is equivalent to b * b * b * b *

Ne4ueva [31]

Answer:

b⁴

Explanation:

b×b=b² b×b=b²

b²×b=b³ b×b×b=b³

b³×b=b⁴ b×b×b×b=b⁴

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2 years ago