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Svetllana [295]
3 years ago
12

Solve the following inequality. 7(6 - 4n) + 4n > 138

Mathematics
1 answer:
DerKrebs [107]3 years ago
7 0

Answer:

n <−4

42 - 28n + 4n >138

42 - 24n >138

-24n > 138 - 42

-24n >96

n <−96/24

N <−4

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Anarel [89]

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Point H is the incenter of triangle ABC. Find BD. a. 7.5<br> b. 8.5<br> c. 9.2<br> d. 9.7
Mademuasel [1]
Check the picture below

notice, using the 30-60-90 rule, since that triangle is a 30-60-90 triangle, we get 11 = 2x

6 0
3 years ago
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Midpoint (10,4) Endpoint (9,-4), find the coordinates of the other endpoint.​
mestny [16]

Answer:

(11, 12)

Step-by-step explanation:

<u>Mid point coordinates:</u>

  • x = (x₁ + x₂)/2
  • y = (y₁ + y₂)/2

<u>Since midpoint and one endpoint given (10, 4) and (9, -4), the other endpoint:</u>

  • x₂ = 2x - x₁ = 2*10 - 9 = 11
  • y₂ = 2y - y₁ = 2*4 - (-4) = 12

<u>So the other endpoint is: </u>(11, 12)

4 0
3 years ago
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3ft long with a diameter of 2.2 ft . S
Contact [7]

4 minutes 34 seconds will takes to empty the tank, if the starts completely full and oil drained at a rate of 2.5 ft^{3} per minute.

Step-by-step explanation:

              The given is,

                         Tank is shaped like a cylinder that is 3 ft long with a diameter of 2.2 ft.

                          Oil drained at a rate of 2.5 ft^{3} per minute.

Step:1

       Time taken to dry the oil tank is,

                           T   = \frac{Volume of oil}{Oil drain rate}  ....................................(1)

Step:2

      Volume of the oil is,

                           V = \pi  r^{2} h.................................................(2)

      Where, r - Radius of Cylinder

                             r = \frac{d}{2}

                             r = \frac{2.2}{2}

                             r = 1.1 ft

      From eqn (1),

                        V =  \pi × 1.1^{2} × 3

                           = 11.40398 ft^{3}

Step:3

     From equation (1)

                           = \frac{11.40398}{2.5}

                           = 4.56

                           = 4.56 minutes

                      T  = 4 minutes 34 seconds

Result:

      Time taken to dry the oil tank is 4 minutes 34 seconds, if a cylinder is 3 ft long with a diameter of 2.2 ft and oil is drained at a rate of 2.5ft^3 per minute.

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2 years ago
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The answer to the question is 2
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2 years ago
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