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3 years ago

Find the length of the missing side. Leave your answer in simplest radical form.

Mathematics

1 answer:

Mrac [35]3 years ago

4 0

Answer:

a) $\sqrt{69}$

Step-by-step explanation:

this is a right triangle so you can use the Pythagorean Theorem:

the sum of the legs, squared, is equal to the hypotenuse, squared

10² + b² = 13²

100 + b² = 169

b² = 69

b = $\sqrt{69}$

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If 50% is 100 what is 25%, 75%, and 100%

frutty [35]

Step-by-step explanation:

25%=50

75%=150

100%=200

hope it helps

mark me brainliest

8 0

3 years ago

Randall recorded 8 songs on his most recent CD the total length of the CD is 49 minutes find a until rate to represent the avera

olganol [36]

Answer:

6.125 minutes per song

Step-by-step explanation:

Unit rates are based on a single unit of something. Like price per 1 gallon of gas; price for 1 pound of bananas; miles driven per 1 gallon of gas, etc. What we are looking for in minutes per song.

Use a proportion to solve this with minutes on top and number of songs on the bottom. We know that 49 minutes = 8 songs, and we want to know how many minutes (x) per 1 song:

$\frac{min}{song}:\frac{49}{8}= \frac{x}{1}$

Cross multiply to get

8x = 49 so

x = 6.125 minutes per song

8 0

3 years ago

Create and solve a system of equations for the following scenario: Luke and Leia are selling hot dogs and hamburgers at a minor

mixas84 [53]

So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.

5 0

4 years ago

What is the function rule

muminat

Answer:

A function rule describes how to convert an input value (x) into an output value (y) for a given function. An example of a function rule is f(x) = x^2 + 3.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Kelly drove north for 9 miles and then east for 12 miles at an average rate of 42 miles per hour to arrive at the town of Prime.

mr_godi [17]

Answer:

Step-by-step explanation:

This is one of the more interesting motion problems I've seen. I like it! If Kelly is driving north (straight up) for 9 miles, then turns east (right) and drives for 12 miles, what we have there are 2 sides of a right triangle. The hypotenuse is created by Brenda's trip, which originated from the same starting point as Kelly and went straight to the destination, no turns. We need the distance formula to solve this problem, so that means we need to find the distance that Brenda drove. Using Pythagorean's Theorem:

$9^2+12^2=c^2$ and

$81+144=c^2$ and

$225=c^2$ so

c = 15.

Brenda drove 15 miles. Now we can fill in a table with the info:

d = r x t

Kelly 12+9 42 t

Brenda 15 45 t

Because they both left at the same time, t represents that same time, whatever that time is. That's our unknown.

If d = rt, then for Kelly:

21 = 42t

For Brenda

15 = 45t

Solve Kelly's equation for t to get

t = 1/2 hr or 30 minutes

Solve Brenda's equations for t to get

t = 1/3 hr or 20 minutes

That means that Brenda arrived at the destination 10 minutes sooner than Kelly.

4 0

4 years ago