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zhenek [66]
3 years ago
14

A painter places an 8.5 ft ladder against a wall. the bottom of the ladder is 4 ft from the base of the wall. how high up the wa

ll does the ladder reach?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
6 0
Use the Pythagorean Theorem:
a² + b² = c²
4² + b² = 8.5²
16 + b² = 72.25
        b² = 56.25
        b = 7.5

 The ladder reaches a height of 7.5 ft on the wall
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SashulF [63]

Answer:

C. Student 3

E. Student 5

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})

<u><em>Verify the midpoint of each student</em></u>

student 1

we have the endpoints

(-9,0) and (11,-8)

substitute in the formula

M(\frac{-9+11}{2},\frac{0-8}{2})

M(1,-4)

so

The midpoint is not (-1,4)

student 2

we have the endpoints

(-6,-1) and (4,-7)

substitute in the formula

M(\frac{-6+4}{2},\frac{-1-7}{2})

M(-1,-4)

so

The midpoint is not (-1,4)

student 3

we have the endpoints

(-5,2) and (3,6)

substitute in the formula

M(\frac{-5+3}{2},\frac{2+6}{2})

M(-1,4)

so

<u>The midpoint is equal to (-1,4)</u>

student 4

we have the endpoints

(-3,10) and (5,-2)

substitute in the formula

M(\frac{-3+5}{2},\frac{10-2}{2})

M(1,4)

so

The midpoint is not (-1,4)

student 5

we have the endpoints

(0,-3) and (-2,11)

substitute in the formula

M(\frac{0-2}{2},\frac{-3+11}{2})

M(-1,4)

so

<u>The midpoint is equal to (-1,4)</u>

therefore

Student 3 and student 5

3 0
3 years ago
Evaluate [(51 + 3) - 3^2] : 9.2
Naily [24]

Answer:

414 have a great day :)

Step-by-step explanation:

(54−32)(9.2)

=(54−9)(9.2)

=(45)(9.2)

3 0
3 years ago
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AveGali [126]

Answer:

- 3, -2. -1 , 0 , 1, 2, and 3

when it looks like that it means that it is less then 3

5 0
3 years ago
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Margarita [4]

Answer:

Surface area of the rectangular prism = 62 inch²

Step-by-step explanation:

Surface area of a rectangular prism =2(wl+hl+hw)

w = width = 3 inches

h = height= 2 inches

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