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alex41 [277]
3 years ago
14

Please explain your answer.

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
4 0

Answer:

100.6 ft

Step-by-step explanation:

Regard the dashed line as the hypotenuse of a right triangle with one leg 90 ft and the other leg 45 ft.

The length of this hypotenuse is the desired distance.  It is:

d = √[ 90² + 45² ] = 100.6 ft

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A trough has ends shaped like isosceles triangles, with width 2 m and height 5 m, and the trough is 18 m long. Water is being pu
fenix001 [56]

9514 1404 393

Answer:

   5/9 m/min

Step-by-step explanation:

The depth of the water is 2/5 of the depth of the trough, so the width of the surface will be 2/5 of the width of the trough:

  2/5 × 2 m = 4/5 m

Then the surface area of the water is ...

  A = LW = (18 m)(4/5 m) = 14.4 m²

The rate of change of height multiplied by the area gives the rate of change of volume:

  8 m³/min = (14.4 m²)(h')

  h' = (8 m³/min)/(14.4 m²) = 5/9 m/min

8 0
3 years ago
A 26' long painting is how many yards?
guapka [62]
It's <span>0.72 yards.
1 = 0.02
so 26*0.02=0.72</span>
8 0
3 years ago
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What is the answer to this 2^2x =1/32
Alex73 [517]

Answer:

x=-\frac{5}{2}

Step-by-step explanation:

2^{2x}=\frac{1}{32}

2^{2x}=\frac{1}{2^5}

2^{2x}=2^{-5}

2x=-5

x=-\frac{5}{2}

8 0
2 years ago
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Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244. URGENT
Bad White [126]

Answer:

-39+5(-41)=244

Step-by-step explanation:

Consider 3 consecutive integers: (smallest) x, x+1 and x+2 (largest)

Five times the smallest means 5x

Sum of the largest and five times the smallest means x+2+5x

This sum is -244 means x+2+5x=-244

Solve this equation

x+2+5x=-244

6x+2=-244

6x=-244-2

6x=-246

x=-41

So, smallest number is -41, second is -40 and largest is -39

= -39+5(-41)=244

Hope this helps, have a nice day/night! :D

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3 years ago
What is the decimal number of 3 cents
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The decimal number of three cents is 0.03
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