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kondaur [170]
3 years ago
10

What is the length of the hypotenuse of the triangle? The two numbers that’s given are 10ft and 24ft. The answer choices are 26f

t, 34ft, 68ft, and 74ft. Which is the right answer? Help!!!
Mathematics
2 answers:
Rzqust [24]3 years ago
6 0

h^2=24^2+10^2

h^2=576+100

h^2=676

h=26

telo118 [61]3 years ago
6 0

Answer:

26ft

Step-by-step explanation:

For a right triangle,we can use the Pythagorean theorem to solve

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

10^2 +24^2 = c^2

100 +576 = c^2

676 = c^2

Take the square root of each side

sqrt(676) = sqrt(c^2)

26 = c

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The larger of two numbers is 5 more than the smaller. The smaller number plus the larger equals 100. Find the number.
I am Lyosha [343]

Answer:

Smaller number-47.5

Larger number-52.5

Step-by-step explanation:

We will make the smaller number x. If the smaller number is x, then the larger number will be equal to x+5. We also know that when we add the two numbers, we get 100. We can make the equation

x+x+5=100

100-5=95

2x=95

95/2=47.5

x=47.5

The smaller number equals 47.5 and the larger number is 47.5+5 which equals 52.5

6 0
2 years ago
What is the answer to |x-4|<13
VARVARA [1.3K]

Answer:

<h2>The solution is -9 < x < 17.</h2>

Step-by-step explanation:

|x-4|<13.

The above equation means, whatever the actual value of x is, the value of (x - 4) must be greater than - 13 and less than 13.

Hence, -13 < x - 4 < 13 or, -9 < x < 17. The value of x will be in between -9 and 17. The value of x can not be -9 or 17.

7 0
3 years ago
Mr. Ramsey just finished bathing his kids, and now he is draining the tub. The tub contains 32 gallons of water and is draining
KIM [24]
The answer would be 11 gallons.

The tub starts with 32 gallons. Every minute it loses 3 gallons.

So after 1 minute it has lost 3 gallons. For example:
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Now you have to remember that the tub is draining for 7 minutes. So it is losing 3 gallons 7 times, because it loses 3 gallons each minute and there are 7 minutes.

We can use multiplication to find how many gallons the tub loses after 7 minutes. This sign “X” basically means “groups of”. We have 7 groups of 3, or
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This is the same as saying we have 3, 7 times. Written like this:

3+3 +3 +3 +3 +3 +3 = 21

So after 7 minutes the tub has lost 21 gallons.

Now we take the original number of gallons and take away what was lost:

32-21=11

So there are 11 gallons left after 7 minutes.

Please let me know if you need any further explanation. Hope this helped.

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2 years ago
Is this function linear or nonlinear?
Sergio039 [100]

The answer is nonlinear. It goes in a sharp downward curve, whereas a linear function is a straight line.

7 0
2 years ago
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