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Usimov [2.4K]
3 years ago
10

Find the length of the hypotenuse. Round your answer to the nearest hundredth. *

Mathematics
1 answer:
Rom4ik [11]3 years ago
3 0

Answer:

c = 8.06

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + b^2 = c^2

c^2 = a^2 + b^2

c^2 = 4^2 + 7^2

c^2 = 16 + 49

c^2 = 65

c = sqrt(65)

c = 8.06

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15x - 10 = -9x + 2 <br> please help me !!!!!
DerKrebs [107]
15x - 10 = -9x + 2

15x +9x -10 = -9x + 9x + 2

15 x + 9x - 10 + 10 = 2 + 10

15 x + 9 x = 2 + 10

24x = 12

24x/24 = 12/24

x = 1/2

hope this helps
6 0
3 years ago
How many gallons of a 30% salt solution must be added to 40 gallons of a 12% salt solution to obtain a 20% solution?
Sati [7]
Let’s call the number of gallons of 30% solution “x”. If we mix together 40 gallons and x gallons of solution, we’re going to come out with a total of 40 + x gallons of that 20% solution. Mathematically, this is

40(12%) + x(30%) = (40 + x)(20%)

With the percents as decimals:

40(0.12) + x(0.3) = (40 + x)(0.2)

Simplifying, we have:

4.8 + 0.3x = 8 + 0.2x

Collecting the x terms on one side and the constants on the other:

0.1x = 3.2

And multiplying both sides by 10 to find x:

x = 32

So, you’ll need 32 gallons of 30% solution to yield 40 + 32 = 72 gallons of 20% solution.
7 0
3 years ago
The cost of a new laptop is $750 which generates a sales tax amount of 37.50. What is the sales tax rate.
viva [34]

Answer:

5 percent.

Step-by-step explanation:

Divide tax by the cost to see the percentage of the tax.

750/37.50=0.05

5 percent.

4 0
3 years ago
What is the value of x in the equation -6x = 5x+ 22?<br> -22<br> 0 -2<br> 02<br> O 22
Ivahew [28]

Answer:

x = -2

Step-by-step explanation:

Solve  -6x = 5x + 22

add 6x to both sides

0 = 6x + 5x + 22

0 = 11x + 22

11x = -22

x = -22/11

x = -2

3 0
3 years ago
Round 90608.5881594 to 1 decimal place
zalisa [80]
90608.6 is the answer

<span> Remember if the number after this line is less than 5 </span>round<span> down, or </span>round<span> up if the number is 5 or above.</span>
8 0
3 years ago
Read 2 more answers
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