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deff fn [24]
3 years ago
5

A doorway is 8 feet high and 4 feet wide. A square piece of plywood needs to be moved through the doorway. The plywood is 10 fee

t long and 10 feet wide. The door is a rectangle with a height of 8 feet, and a width of 4 feet. A dotted line shows the diagonal.
Will the piece of plywood fit through the door if it is tilted diagonally?

A. No, because the length of the diagonal is close to 9 feet.
B. No, because the height of the door is less than 10 feet.
C. Yes, because the length of the diagonal is close to 11 feet.
D. Yes, because the sum of the height and width of the door is greater than 10 feet.
Mathematics
1 answer:
alexira [117]3 years ago
6 0
By the Pythagorean Theorem:

d^2=x^2+y^2

d^2=8^2+4^2

d^2=64+16

d^2=80

d=√80

d=4√5 ft

d≈8.944

So

A. No because the diagonal is close to 9 feet.
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Order the following numbers from least to greatest.<br> 4.23<br> 9<br> 2<br> V17
Marrrta [24]

Answer:

√17, 4.23, 9/2

have a nice day!

6 0
2 years ago
How many sig figs are in 123,876.3 1,236,840 422000 0.000000000000211 0.000238 0.0000205
rosijanka [135]

Answer:

123,876.3 = 7 sig figs

1,236,840= 7 sig figs

422000 = 3 sig figs

0.000000000000211= 3 sig figs

0.000238 = 3 sig figs

0.0000205 = 3 sig figs

Step-by-step explanation:

Leading zeros are not significant, trailing zeros with no decimal are not significant. Whole numbers are always significant.

5 0
3 years ago
Express 60 as the product of its prime factors in ascending order and give your answer in index form
Allisa [31]

Answer:

{2}^{2}, 3, 5 are the prime factors of 60.

Step-by-step explanation:

60 = 2 \times 2 \times 3 \times 5 \\  =  {2}^{2}  \times 3 \times 5 \\

3 0
3 years ago
5x - (x + 3)= 1/3 (9x + 18) - 5
telo118 [61]
1/3(9x) =3x
1/3(18) =6

3x+6-5

Then you do
-(x)=-x
-(3)=-3

5x-x-3 = 4x-3

4x-3=3x+6-5
4x-3=3x+1

x=4
4 0
2 years ago
Read 2 more answers
What is the remainder when 2x^3−9x^2+11 is divided by x−6?
zheka24 [161]

Answer:

119

Step-by-step explanation:

Given f(x) divided by (x - h) then the value of f(h) is the remainder, thus

f(6) = 2(6)³ - 9(6)² + 11

     = 2(216) - 9(36) + 11

     = 432 - 324 + 11

     = 119 ← remainder

8 0
2 years ago
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