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3 years ago

Roman stands across from a flag pole.

2 answers:

3 0

The answer is 13.2 m.
Because we are only given the hypotenuse, adjacent, and theta measurements.
the opposite side is always opposite theta. In this case, theta is 39 degrees. The hypotenuse is always the slant of the triangle, so it is 17 m. And adjacent is obviously the only one left, in this case, it is x.

You have to use sin, cos, or tan for this problem. You would use cos because cos = adjacent /hypotenuse (x/17)

so you would do cos(39) times 17
x = cos(39) * 17
x = .777 * 17
x = 13.21

And it says round to the nearest tenth, so it is 13.2 m.
Hope this helps.

iris [78.8K]3 years ago

3 0

Answer:13.2

Step-by-step explanation: Took the test can say it is coorect..100%

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Question

Kay [80]

Answer:

$f(x)=2(x-2)(x^2+64)$

Step-by-step explanation:

A standard polynomial in factored form is given by:

$f(x)=a(x-p)(x-q)...$

Where p and q are the zeros.

We want to find a third-degree polynomial with zeros x = 2 and x = -8i and equals 320 when x = 4.

First, by the Complex Root Theorem, if x = -8i is a root, then x = 8i must also be a root.

Therefore, we acquire:

$f(x)=a(x-(2))(x-(-8i))(x-(8i))$

Simplify:

$f(x)=a(x-2)(x+8i)(x-8i)$

Expand the second and third factors:

$=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64$

Hence, our function is now:

$f(x)=a(x-2)(x^2+64)$

It equals 320 when x = 4. Therefore:

$320=a(4-2)(4^2+64)$

Solve for a. Evaluate:

$320=(2)(80)a$

So:

$320=160a\Rightarrow a=2$

Our third-degree polynomial equation is:

$f(x)=2(x-2)(x^2+64)$

7 0

3 years ago

If a globe rotates 150 degrees in 5 seconds, how many rotations does it make in 30 seconds? I got 900 seconds for my answer am I

Maksim231197 [3]

Start with a proportion, to get the number of degrees in 30 seconds:

 (150 degrees / 5 seconds) = ('D' degrees / 30 seconds) .

Cross multiply the proportion: (150 x 30) = 5 x D

 4,500 = 5 x D

Divide each side by 5 : 900 = D

The globe turns 900 degrees in 30 seconds.

How many rotations is that ?
Each rotation is 360 degrees.
So 900 degrees is
 (900 / 360) = 2.5 rotations in 30 seconds.

8 0

3 years ago

Write an equation for the function whose graph is described.

Naddika [18.5K]

Answer:

f(x)=-|x|+19

Step-by-step explanation:

so shifted 19 units up means

abosolute value of x + 19

and reflected in the x axis means that you have to put the - before the abosolute value.

so -|x|+19

3 0