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3 years ago

Find measure of angle labeled X

Mathematics

2 answers:

trasher [3.6K]3 years ago

7 0

Is it number15?
then it is
3x = 180
x = 60
x will be 60

Aliun [14]3 years ago

6 0

X=60 because 60 times 2 is 120 and it is added to 60 which totals up to 180 which is a supplementary angle

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A student said thst the distance between (-5,7) and (3,7) is 2 units<br>is the student correct?

Usimov [2.4K]

No.

The distance is |-5 -3| = 8 units. (Y-coordinates are the same, so the distance is measured entirely in the x-direction. Distance is non-negative.)

3 0

4 years ago

Question 1 (Essay Worth 10 points)

zysi [14]

$394.51 is future value of money after 2 years.

What future value means?

A current asset's future value (FV), which is based on an estimated rate of growth, is its value at a later time.
Investors and financial planners use the future value to project how much an investment made now will be worth in the future.

The method that results in more money after 2 years is Peggy's investment.

Which method results in more money in 2 years?

The formula for calculating the future value of an investment:

FV = P (1 + r)^nm

FV = Future value

P = Present value

R = interest rate

m = number of compounding

N = number of years

Future value of Larry's investment: $350 x [1 + (0.04/4)]^(4 x 2) = $379

Future value of Peggy's investment: $350 x [1 + (0.06/12)]^(12 x 2) = $394.51

Learn more about future value

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4 0

1 year ago

Find the general indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.

Maru [420]

Answer:

$9\text{ln}|x|+2\sqrt{x}+x+C$

Step-by-step explanation:

We have been an integral $\int \frac{9+\sqrt{x}+x}{x}dx$ . We are asked to find the general solution for the given indefinite integral.

We can rewrite our given integral as:

$\int \frac{9}{x}+\frac{\sqrt{x}}{x}+\frac{x}{x}dx$

$\int \frac{9}{x}+\frac{1}{\sqrt{x}}+1dx$

Now, we will apply the sum rule of integrals as:

$\int \frac{9}{x}dx+\int \frac{1}{\sqrt{x}}dx+\int 1dx$

$9\int \frac{1}{x}dx+\int x^{-\frac{1}{2}}dx+\int 1dx$

Using common integral $\int \frac{1}{x}dx=\text{ln}|x|$ , we will get:

$9\text{ln}|x|+\int x^{-\frac{1}{2}}dx+\int 1dx$

Now, we will use power rule of integrals as:

$9\text{ln}|x|+\frac{x^{-\frac{1}{2}+1}}{-\frac{1}{2}+1}+\int 1dx$

$9\text{ln}|x|+\frac{x^{\frac{1}{2}}}{\frac{1}{2}}+\int 1dx$

$9\text{ln}|x|+2x^{\frac{1}{2}}+\int 1dx$

$9\text{ln}|x|+2\sqrt{x}+\int 1dx$

We know that integral of a constant is equal to constant times x, so integral of 1 would be x.

$9\text{ln}|x|+2\sqrt{x}+x+C$

Therefore, our required integral would be $9\text{ln}|x|+2\sqrt{x}+x+C$ .

4 0

3 years ago

1-2 sin e cos 20-2 sin 40 = cos (20)

natka813 [3]

Answer:

No this is not the same as cos(2Ф)

Step-by-step explanation:

First I changed the $cos^{2}$ Ф into 1- $sin^{2}$ Ф

I then foiled the (1-2 $sin^{2}$ Ф)(1- $sin^{2}$ Ф) and that resulted in 1- $sin^{2}$ Ф-2 $sin^{2}$ Ф+2 $sin^{4}$ Ф

From there, I then cancelled the two 2 $sin^{4}$ Ф and combined like terms and was left with 1-3 $sin^{2}$ Ф

Now 1-3 $sin^{2}$ Ф ≠ cos(2Ф)

8 0

4 years ago

In which of the following numbers does the 5 have a value that is 1/10 the value of the 5 in 95,126? A 194,538 B 570,412 C 236,9

sp2606 [1]

Answer:

A.) 194,538

Step-by-step explanation:

the value of 5 in the number 95,126 is equal to 5,000. 1/10 of the value 5,000 is 500 (500 x 10 = 5,000). the value that the 5 is at in the number 194,538 is the hundreds place, so the calue is equal to 500, 1/10 of 5,000.

7 0

3 years ago