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Alex787 [66]
3 years ago
5

A right triangle has one leg that measures 7 inches, and the second leg measures 10 inches. How long is the hypotenuse?

Mathematics
1 answer:
faltersainse [42]3 years ago
8 0

Answer:

Hypotenuse≈12.21

Step-by-step explanation:

\sqrt{7^{2} +10^{2} }   ≈12.21

to calculate this you would need to find the square root of the first leg squared added to the second leg squared.

the hypotenuse is the longest side of the triangle

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marin [14]

Answer:

The coordinates of other point are: (5,1)

Step-by-step explanation:

Given coordinates are:

M(x,y) = (2,4)

R(x_1,x_2) = (-1,7)

We have to find the coordinates of other point (x2,y2)

The formula for mid-point is given by:

M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Putting the values we get

(2,4) = (\frac{-1+x_2}{2}, \frac{7+y_2}{2})

Putting respective elements equal

\frac{-1+x_2}{2} = 2\\-1+x_2 = 2*2\\-1+x_2 = 4\\x_2 = 4+1\\x_2 = 5\\And\\\frac{7+y_2}{2} = 4\\7+y_2 = 4*2\\7+y_2 = 8\\y_2 = 8-7\\y_2 = 1

Hence,

The coordinates of other point are: (5,1)

8 0
3 years ago
Which equation represents a line that passes through (2, - 1/2) and has a slope of 4 ?
solmaris [256]

Answer:

y=4x-8.5

Step-by-step explanation:

Use point- slope form, since you are given one point and one slope.

y-y₁=m(x-x₁)

Plug coordinates and slope in.

y-(-1/2)=4(x-2)

Solve

y+1/2=4x-8

y=4x-8.5

7 0
3 years ago
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valkas [14]
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6 0
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Find the value of :<br><img src="https://tex.z-dn.net/?f=%20%5Csf%20log_%7B3%20%5Csqrt%7B2%7D%20%7D%28324%29%20" id="TexFormula1
qwelly [4]

Answer:

4

Step-by-step explanation:

Is that a log with the base of   3√(2)  ?

If so....my calculator says the answer is   4

Let's see if we can do it w/ou the calculator:

3 sqrt(2)^x = 324 =  3^4 * 2^2     Now 'LOG' both sides:

x log (3 sqrt 2)  =   log (3^4 *2^2)  =  4 log ( 3 * 2^(2/4)) = 4 log (3 sqrt2)

                       now divide both sides by log (3 sqrt2 )

  x = 4        (If I did the math correctly ! )  

8 0
2 years ago
A plumber charges $50 to make a house call. He also charges $25 per hour for labor. If the bill from the plumber is $162.50.
blsea [12.9K]
4.5 hrs because 162.50-50 = 112.50
112.50/25= 4.5
3 0
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