In the right triangle with the 110 ft ladder as the hypotenuse, the side opposite the 72° angle represents the maximum height the ladder will reach. The definition of the sine function tells you ...

Sin = Opposite/Hypotenuse

so the Opposite side will be ...

ladder height = (110 ft)sin(72°)

6 0

3 years ago

Find an equation of the line L that passes through the point (−2, 9) and satisfies the condition. L is perpendicular to the line

castortr0y [4]

This picture explained answer thanks

3 0

3 years ago

Sophia's credit has an APR of 20.87 % and it just changed its compounding. From monthly to daily what will happen to the effecti

Rashid [163]

Answer:

It will increase by 0.2%.

Step-by-step explanation:

In this problem we need to solve for the monthly interest first.

We use the formula:

$r = (1+\dfrac{i}{n})^{n}-1$

Now that we have the formula we now define our variables.

i = 20.87% or 0.2087

n = 12

$r=(1+\dfrac{0.2087}{12})^{12} - 1$

$r=(1+\dfrac{0.2087}{12})^{12}-1$

$r=(1+\dfrac{0.0174})^{12}-1$

$r=(1.0174})^{12}-1$

$r= 1.2299-1$

$r= 0.2299$ or 23%

Now we have to find the daily interest rate.

$r=(1+\dfrac{0.2087}{365})^{365}-1$

$r=(1+0.00057178082)^{365}-1$

$r=(1.00057178082)^{365}-1$

$r= 1.2320-1$

$r= 0.2320$ or 23.20%

23.20% - 23% = 0.20% increase.

3 0

3 years ago

If y varies directly with x in the following table problem, find the constant of variation (k) and write the equation x 6,9,12,1

Kobotan [32]

We are told that y varies directly with x.
Therefore
y = k*x
where
k = the constant of variation

The given table and the ratio of k=y/x is shown below.

x y k
--- ------ --------
6 10 1.667
9 15 1.667
12 20 1.667
15 25 1.667

Answer:
k = 1.667
y = 1.667x

4 0

3 years ago