All categories

2 years ago

Instructions: Find the measure of the indicated angle to the nearest degree.

Mathematics

1 answer:

umka2103 [35]2 years ago

6 0

Tan(x) = opp./adj.
Tan(x)=13/20
Tan^-1(13/20)=X
X=33.02 degrees = 33 degrees

You might be interested in

1, 1, 5, 5, 7, 8, 8, 10, 12

stepan [7]

Answer:

ррооо

Step-by-step explanation:

Нажмите на фрагмент, чтобы вставить его в текстовое поле.

4 0

2 years ago

Water is leaking out of a large barrel at a rate proportional to the square rooot of the depth of the water at that time. If the

sdas [7]

Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let $y(t)$ be the depth of water in the barrel at time $t$ , where $y$ is measured in inches and $t$ in hours.

We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

$\frac{dy}{dt}=-k\sqrt{y}$

where $k$ is a constant of proportionality.

Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by $\frac{1}{\sqrt{y}}$

$\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k$

Multiply by $dt$

$\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt$

Take integral

$\int \frac{1}{\sqrt{y}}\cdot dy=\int-k\cdot dt$

Integrate

$2\sqrt{y}=-kt+C$

Isolate $y$

$y(t)=(\frac{C}{2} -\frac{k}{2}t)^2$

We know that the water level starts at 36, this means $y(0)=36$ . We use this information to find the value of $C$ .

$36=(\frac{C}{2} -\frac{k}{2}(0))^2\\C=12$

$y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2$

At t = 1, y = 34

$34=(6 -\frac{k}{2}(1))^2\\k=12-2\sqrt{34}$

So our formula for the depth of water in the barrel is

$y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\$

To find the time, $t$ , at which all the water leaks out of the barrel, we solve the equation

$\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49$

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

5 0

4 years ago

WILL GIVE BRAINLIEST anitas and caseys bills do not vary from month to month. anita pays 80 more than casey does each month. ove

Mrac [35]

Answer:

1520/4=380 per month

Step-by-step explanation:

8 0

3 years ago

3x - y = 7 6x - y = 10 When solving this system of equations by elimination, which could be the resulting equation when a variab

max2010maxim [7]

It depends on which variable is eliminated.

If you multiply the second equation by -1 and eliminate the y:
3x - y = 7
-6x + y = -10
-3x = -3 or x = 1

If you multiply the first equation by -2 and eliminate the x:
-6x + 2y = -14
6x - y = 10
y = -4

6 0

3 years ago

Which of the following shows that △PQS≅△RQS, when x=6? ANSWER QUICKLY PLEASE!!

Alekssandra [29.7K]

Answer:

The second one

Step-by-step explanation:

x+6=2x (picture shows)

x=6 (algebra)

3x+1=19

2x+7=19

PQ=QR

SQ=SQ

SAS

4 0

3 years ago