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3 years ago

Simplifying expressions with negative exponents calculator

Mathematics

1 answer:

Marizza181 [45]3 years ago

3 0

Use the website: mathpapa.com/algebra-calculator.html

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Find the measure of each side of this triangles. Answer in exact form. Find x and y

Firdavs [7]

Answer:

x = 24/√3

4√3 = y

Step-by-step explanation:

We are given that this is a right triangle as well as two angles and a side.

Given that the angles in a triangle add up to 180 degrees, and a right angle is 90 degrees, we can say that the missing angle is equal to

(180-90-30) = 60 degrees

Next, given sohcahtoa, we can say that

sin(30) = opposite/hypotenuse = y/x

cos(30) = adjacent/hypotenuse = 12/x

tan(30) = opposite/adjacent = y/12

We want to only have one variable per equation so we can solve for the variable, so we can use

cos(30) = 12/x and tan(30) = y/12

Starting with cos(30) = 12/x, we can multiply both sides by x to remove the denominator to get

cos(30) * x = 12, and divide both sides by cos(30) to isolate the x and get

x = 12/cos(30). Next, cos(30) = √3/2, so we have

x = 12/(√3/2)

x = (12/1) / (√3/2)

x = (12/1) * (2/√3)

x = 24/√3

For y, we have

tan(30) = y/12

multiply both sides by 12 to isolate the y and remove the denominator

tan(30) * 12 = y

√3/3 * 12 = y

√3 * 4 = y

4√3 = y

4 0

3 years ago

At 2:00 p.m. two cars start toward each other from towns that are 240 miles apart. The rate of one car is 15 mph faster than the

Vesnalui [34]

Hello! :)

The answer is x+15!

~Hope it helps!~ :)

3 0

3 years ago

What percent of 20 is 16?!!! What's the answer and how do I work the problem out?!!

-Dominant- [34]

16/20 is 80%.

You find out by multiplying the denominator: 20 * 5 = 100

Then, you do the same to the numerator which is: 16 * 5 = x

So, x = 80%

Hope this helps! :D

7 0

3 years ago

Write a linear equation that contains the points shown in the table.

Afina-wow [57]

Answer:

y=7x+1

Step-by-step explanation:

From the table, the difference in y is 7 and the difference in x is 1.

Let the linear equation be

$y = mx + b$

Where m is the constant difference in y divided by the constant difference in x.

This means m=7/1=7

Our equation now becomes:

y=7x+b

To find b, we substitute any ordered pair from the table.

From the to table, when x=1, y=8.

This implies that,

8=7(1)+b

b=8-7=1

Therefore the equation is y=7x+1

4 0

3 years ago

Pleaseeee helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Goryan [66]

Answer:

I think you're supposed to add all the fives together. That is what MY teacher taught me to do :/

Step-by-step explanation:

The shape is a square that is tilted and looks like a rhombus. Just add the 5's together.

4 0

3 years ago