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3 years ago

.

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

6 0

Answer:

0.49 radians or 28.07 degrees

Step-by-step explanation:

Please recall that the definition of the tangent of an angle is "the ratio of the length of the side opposite the angle to the length of the adjacent side, of a right triangle."

Here, opposite side length 8

tan x = ------------------------------------- = ---------

length of adjacent side 15

We use the inverse tangent function to determine the angle x from the given information:

arctan 8/15 = x

Using a calculator, we find that x = 0.49 radians.

The measure of this angle, in degrees, is found by multiplying 0.49 radians by the conversion factor

180 degrees

--------------------

pi radians

which, in this case, works out to 28.07 degrees.

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The rectangle below has an area of 70y^8+30y^6

bagirrra123 [75]

Answer:

the factor is

10y^6( 7y^2 + 3)

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width is 7y^2 + 3

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3 years ago

What is the value of x that makes PQ←→||RS←→?

Inessa05 [86]

Answer:

x = 55

Step-by-step explanation:

For PQ and RS to be parallel then

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x - 65 = - 10 ( add 65 to both sides )

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3 years ago

Please help right now!!!!! Solve the system of equations below. x + y = 7 2x + 3y = 16

motikmotik

Answer:

$x=5$ and $y=2$ .

Step-by-step explanation:

We have been given a system of equations. We are asked to solve our given system.

$x+y=7...(1)$

$2x+3y=16...(2)$

From equation (1), we will get:

$x=7-y$

Upon substituting this value in equation (2), we will get:

$2(7-y)+3y=16$

$14-2y+3y=16$

$14+y=16$

$14-14+y=16-14$

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Now, we will substitute $y=2$ in equation (1).

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Therefore, the point $(5,2)$ is solution for our given equation.

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3 years ago

A volunteer has 12 pounds of birdseed to put in the bird feeders in all of the city parks. There are 13/4 cups of birdseed in a

kozerog [31]

Answer:

$\large \boxed{28}$

Step-by-step explanation:

1. Calculate the number of cups

$\text{Cups} = \text{12 lb}\times\dfrac{1\frac{3}{4} \text{ cups}}{\text{1 lb}} =12\times\dfrac{\text{7 cups}}{4} = 3\times7\text{ cups}= \text{21 cups}$

2. Calculate the number of bird feeders

$\text{ Feeders}= \text{21 cups} \times \dfrac{\text{1 feeder}}{\frac{3}{4}\text{ cup}}=\text{21 cups} \times \dfrac{\text{4 feeders}}{\text{3 cups}} = 7 \times \text{ 4 feeders}\\\\= \textbf{28 feeders}\\\text{The volunteer can fill $\large \boxed{\textbf{28 feeders}}$}$

5 0

3 years ago

I leave my family's vacation cabin at 8 a.m. and start driving home at a nice, safe 45 mph. Two hours later, my husband, who alw

Murljashka [212]

Answer:

2:30 pm

Step-by-step explanation:

In two hours (from 10am), she is 45 * 2 = 90 miles from vacation cabin.

From then on her average is still 45 mph and her husband's is 65 mph. So, husband catches her 20 miles (65-45=20) in every hour.

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90/20 = 4.5 hours

So husband starts at 10am and 4.5 hours form that time is 2.30pm

6 0

3 years ago