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ludmilkaskok [199]

3 years ago

9

From the edge of a 1000-foot cliff, the angles of depression to two cars in the valley are 21° and 28°. How far apart are the ca

rs? Round your answers to the nearest 0.1 feet

1 answer:

lidiya [134]3 years ago

4 0

Answer:

147.8 feet

Step-by-step explanation:

Please refer to the attached file for explanation and the necessary diagram

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Which number sentence is true?

Serggg [28]

Answer: the answer choice “d” is correct

Step-by-step explanation:

because the different symbols mean different things and yeah

8 0

3 years ago

Read 2 more answers

If you triple a number you will have one-half of hours in two days what is the numbers?

olga nikolaevna [1]

6?

one half the hours of two days is equal to one day or 24 hours
6 times 3 equals 24.

I'm not positive about this answer, but it's the only answer I can currently think of. I hope it helps.

4 0

3 years ago

You and your friends find a rope that hangs down 15 m from a high tree branch right at the edge of a river. You find that you ca

Crazy boy [7]

Answer:

Vertical angle=9.5°

Time to reach maximum height = 1.24seconds

Step-by-step explanation:

The maximum distance x is reached when rope swings to a maximum height, maximum height is gotten from the equation KE= 1/2MU^2 = MgH = MgL= Mgl(1- cos theta.

Where theta is the vertical angle, U=2m/s and L= 15m

2gl -2glcostheta=U^2

2gl U^2=2gl cos theta

But theta= Acos(1- U^2)/2gl

Acos(1-/(2×9.8×15)

Theta =9.5°

Maximum height li given by

Lsintheta

But X= UxT

T=X/UX= Lsintheta/U = 15sin9.5 /2 =1.24seconds

6 0

3 years ago

Help please I don’t know the answer

andrew-mc [135]

Answer:

$16,534.95

Step-by-step explanation:

To compute interest on loans, we use the compounded interest equation. We use the equation $A=P(1+\frac{r}{n})^{nt}$ where

P is the principle or starting value

A is the total amount after interest and a period of time

r is the rate at which interest gathers as a decimal

t the time in years

n is the number of times compounded in a year.

For this problem, we know P=$8000, r=19%=0.19, t=4 years and n=2. We substitute into the formula and simplify to find the total amount A.

$A=P(1+\frac{r}{n})^{nt}\\A=8000(1+\frac{0.19}{2})^{2(4)}\\A=8000(1+0.095)^{8}\\A=16,534.95$

8 0

4 years ago

The number of vibrations n n per second of a nylon guitar string varies directly with the square root of the tension T T and inv

emmasim [6.3K]

Answer: $T=40.96\ KgF$

Step-by-step explanation:

We know that:

$n$ : The number of vibrations per second of the nylon guitar string.

$T$ : Tension.

$L$ : The length of the string.

Since $n$ varies directly with the square root of the $T$ and inversely with $L$ , the equation has the following form:

$n=k*\frac{\sqrt{T} }{L}$

Where "k" is the constant of variation.

Knowing that when $n=15$ and $L=0.6$ , $T=256$ , we can find the value of "k":

$n=k*\frac{\sqrt{T} }{L}\\\\L*n=k\sqrt{T}\\\\\frac{L*n}{\sqrt{T}}=k\\\\k=\frac{(0.6)(15)}{\sqrt{256}}\\\\k=0.5625$

Finally, in order to find the tension when the length is 0.3 meters and the number of vibrations is 12, you need to substitute these values and the value of "k" into $n=k*\frac{\sqrt{T} }{L}$ and solve for $T$ :

$12=(0.5625)\frac{\sqrt{T} }{0.3}\\\\\frac{12(0.3)}{(0.5625)}=\sqrt{T}\\\\(6.4)^2=T\\\\T=40.96\ KgF$

8 0

3 years ago