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professor190 [17]

4 years ago

10

The angles of a triangle are 2 x, 3x, and 4x degrees. find the value of x.

1 answer:

saul85 [17]4 years ago

5 0

First you must know that the interior angles of a triangle add up to 180 degrees. Once you recognize that, you can add 2x+3x+4x=180. Then you just solve for x.
2x+3x+4x=180 becomes 9x=180.
Then you divide both sides by 9 and x=20 is your answer.
For future reference, if you need to solve for the angles after finding x, you would just plug in the 20, giving you three angles 40, 60, and 80.

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Angelina_Jolie [31]

Answer:

Vertex form: $h(t)=-16(t-3)^2+148$

Height expressed as a function of time: $h(t)=-16t^2+96t+4$

Step-by-step explanation:

We have been given that the ball is 4 ft above the ground when she hits it.

This means that initial value (y-intercept) of ball is 4.

We are also told that three seconds later it reaches its maximum height of 148 ft. This means $h(3)=148$ .

We know that vertex form of a parabola is in format $y=a(x-h)^2+k$ .

Let us solve for a using our given information.

$4=a(0-3)^2+148$

$4=a(-3)^2+148$

$4=a*9+148$

$4-148=9a+148-148$

$-144=9a$

$a=\frac{-144}{9}$

$a=-16$

Therefore, the vertex form of our given function would be $y=-16(x-3)^2+148$ .

Since we need height as a function of time, so we will get:

$h(t)=-16(t-3)^2+148$

$h(t)=-16(t^2-6t+9)+148$

$h(t)=-16t^2+96t-144+148$

$h(t)=-16t^2+96t+4$

Therefore, the function where height is expressed as a function of time would be $h(t)=-16t^2+96t+4$ .

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Step-by-step explanation:

acute or right angle hope it helps.

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