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Karo-lina-s [1.5K]
3 years ago
12

HELP PLEASE<3 Find the missing angle Btw its trigonometry

Mathematics
1 answer:
ira [324]3 years ago
6 0

Answer:

x = 16.6

Step-by-step explanation:

Since we know the measure of an acute angle (31 degrees) of a right angle triangle, and of the side opposite to the angle (10), and we need to find the measure of the adjacent side "x", we use the tangent function:

tan(\theta) = \frac{opposite}{adjacent} \\tan(31^o)=\frac{10}{x}\\x=\frac{10}{tan(31^o)} \\x \approx 16.64279

which rounded to one decimal is

x = 16.6

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3 years ago
What is the equation process to this question?
Andreyy89

The given equation is h(t)=-16t^2+80t+4 where h is the height, in feet, of a ball and t is the time, in seconds.

<u>Part a: The height of the ball when t = 2 seconds:</u>

The height of the ball above the ground 2 seconds after it is released can be determined by substituting t= 2 in the equation h(t)=-16t^2+80t+4, we get;

h(2)=-16(2)^2+80(2)+4

Simplifying the terms, we get;

h(2)=-64+160+4

h(2)=100

Thus, the height of the ball after 2 seconds is 100 feet.

<u>Part b: The height of the ball when t = 4 seconds:</u>

The height of the ball above the ground 4 seconds after it is released can be determined by substituting t = 4 in the equation h(t)=-16t^2+80t+4, we get;

h(4)=-16(4)^2+80(4)+4

Simplifying the terms, we get;

h(4)=-256+320+4

h(4)=68

Thus, the height of the ball after 4 seconds is 68 feet.

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Step-by-step explanation:

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