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2 years ago

What is measure of angle R?

Mathematics

1 answer:

Oliga [24]2 years ago

4 0

Angle R can be solved using the inverse sine button on a calculator. Sine is y/r so opposite leg over the hypotenuse. For r, the opposite leg is 5cm and the hypotenuse is 13. The inverse sin button looks like sin^-1. Punch that in the calculator (make sure in degree mode). Punch the inverse sin and then 5/13 and you should get 22.62°

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. Here is an equation 2x + 9 = -15. Write three different equations that have the same solution as 2x + 9 = -15. Show or explain

Anettt [7]

Answer:

1. $x-3=-15$
2. $2x=-24$
3. $2x-3=-27$

Step-by-step explanation:

Given the following question:

$2x+9=-15$

To find three equations that have the same solution as the given equation we have to first solve the equation.

$2x+9=-15$
$9-9=0$
$-15-9=-24$
$2x=-24$
$2x\div2=x$
$-24\div2=-12$
$x=-12$

Equation one:
$x-3=-15$
$-3+3=0$
$-15+3=-12$
$x=-12$

Equation two:
 $2x=-24$
$2x\div2=x$
$-24\div2=-12$
$x=-12$

Equation three:
$2x-3=-27$
$-3+3=0$
$-27+3=-24$
$-24\div2=-12$
$x=-12$

Hope this helps.

4 0

2 years ago

What is the value of x? (x + 40)° (3x)° A. 20 B.35 C. 60 D. 70

Olenka [21]

Hello!

We are given the equation below.

x+40=3x

We want to get all of the variables on side. First of all let's subtract 40 from both sides.

x=3x-40

Now we rearrange our equation so the commutative property will work.

x=3x+(-40)
x=-40+3x

Now we subtract 3x from both sides.

-2x=-40

We divide both sides by -2.

x=20

Our answer is A) 20.

I hope this helps!

4 0

2 years ago

Read 2 more answers

A study was done by a social media company to determine the rate at which users used its website. A graph of the data that was c

Sergeeva-Olga [200]

Answer:

The range represents the number of users each month for 24 months

Step-by-step explanation:

The range depends on the y axis. Looking at the y axis we see the number of users for each month. Looking at the x axis we see that it's 24 months not 20 months

8 0

3 years ago

Read 2 more answers

A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr

Rufina [12.5K]

The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
$120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\$
Logarithm both sides of the equation:
$ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083$

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
$A = 120 000 000 * e ^{0.0083*17} \\ 
A = 120 000 000 * e^{0.1411} \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000
$
Thus, the population will be 138 million in 2014

8 0

3 years ago

Need help doing this

Natali [406]

Answer:

A. -2

B. -10

Step-by-step explanation:

The slope of a perpendicular line will be the negative reciprocal of the slope of the given line:

-1/(1/2) = -2 . . . . slope of the perpendicular line

The y-intercept will let the given point satisfy the equation ...

y = -2x +b

2 = -2(-6) +b

-10 = b . . . . . . . subtract 12. This is the y-intercept.

_____

The graph shows the two lines and the points they go through.

8 0

3 years ago