Ask question

Ask question

All categories

2 years ago

15

Simplify the following expression:

1 answer:

lana66690 [7]2 years ago

3 0

Answer:

2 21/40

Step-by-step explanation:

First, you take the fractions in the parenthesis and make the denominators alike by finding the least common multiple. Once you've done that you can add them together and then add the outer fraction. When adding the outer fraction, you need to make it into an improper fraction. I hope this helped! :)

You might be interested in

Sinx = 1/2, cosy = sqrt2/2, and angle x and angle y are both in the first quadrant.

Leviafan [203]

Answer:

Option D. 3.73

Step-by-step explanation:

we know that

$tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

and

$sin^{2}(\alpha)+cos^{2}(\alpha)=1$

step 1

Find cos(X)

we have

$sin(x)=\frac{1}{2}$

we know that

$sin^{2}(x)+cos^{2}(x)=1$

substitute

$(\frac{1}{2})^{2}+cos^{2}(x)=1$

$cos^{2}(x)=1-\frac{1}{4}$

$cos^{2}(x)=\frac{3}{4}$

$cos(x)=\frac{\sqrt{3}}{2}$

step 2

Find tan(x)

$tan(x)=sin(x)/cos(x)$

substitute

$tan(x)=1/\sqrt{3}$

step 3

Find sin(y)

we have

$cos(y)=\frac{\sqrt{2}}{2}$

we know that

$sin^{2}(y)+cos^{2}(y)=1$

substitute

$sin^{2}(y)+(\frac{\sqrt{2}}{2})^{2}=1$

$sin^{2}(y)=1-\frac{2}{4}$

$sin^{2}(y)=\frac{2}{4}$

$sin(y)=\frac{\sqrt{2}}{2}$

step 4

Find tan(y)

$tan(y)=sin(y)/cos(y)$

substitute

$tan(y)=1$

step 5

Find tan(x+y)

$tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

substitute

$tan(x+y)=[1/\sqrt{3}+1}]/[{1-1/\sqrt{3}}]=3.73$

7 0

3 years ago

Y = 4x-7 find the slope of the linear equation

Gre4nikov [31]

Answer: yt

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Write a word phrase for each algebraic expression? <br> 2(18+t)

Ahat [919]

Answer:

Step-by-step explanation:

I believe the word phrase would look like this:

2 times the sum of 18 and t.

5 0

2 years ago

Read 2 more answers

after buying 55 books for Rs 50 each a man has rupees 3/4 of his money left how much he had at first?

lana [24]

Answer:

916.67 (corrected to 2 decimal places)

Hope I'm right, fingers crossed

Step-by-step explanation:

$55 \times 50 = 2750 \div \frac{3}{4 } = 916.6666667$

7 0

3 years ago

The cost of 4 bicycles at $165 each plus the cost of 3 tricycles at <br> $54 each

IrinaK [193]

Answer:

$822

Step-by-step explanation:

4*165+3*54=822

good luck

6 0

3 years ago