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aev [14]
2 years ago
10

Brainly pls help me on this question.

Mathematics
1 answer:
maw [93]2 years ago
8 0

Answer:

16ft

Step-by-step explanation:

The answer is 16ft because the area of a trapezoid is a + b/2  x h.

5 + 8/2 = 13/2 = 6.5

104/6.5 = 16

The height is 16ft.

                                                                                           

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A force of 12 lb is required to hold a spring stretched 8 in. beyond its natural length. How much work W is done in stretching i
sattari [20]

Answer:

Work done in stretching the spring = 7.56 lb-ft.

Step-by-step explanation:

Normal length of the spring = 8 in or \frac{8}{12} ft

= \frac{2}{3} ft

If the spring has been stretched to 11 inch then the stretched length of the spring is = 11 in

= \frac{11}{12} ft

Force applied to stretch the spring = 12 lb

By Hook's law,

F = kx [where k is the spring constant and x = length by which the spring is stretched]

12 = k(\frac{2}{3})

k = 18

Work done (W) to stretch the spring by \frac{11}{12} ft will be

W = \int\limits^\frac{11}{12} _0 {kx} \, dx

    = \int\limits^\frac{11}{12} _0 {(18x)} \, dx

    = 18[\frac{x^{2}}{2}]^{\frac{11}{12}}_0

    = 9(\frac{11}{12})²

    = 7.56 lb-ft

6 0
3 years ago
What is 3 divided by 1/5 :(
scZoUnD [109]

Answer:

15

Step-by-step explanation:

that's what gogle said

8 0
2 years ago
Read 2 more answers
Please answer i need help quick
Serjik [45]

Answer:

(-2, 6)

Step-by-step explanation:

Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.

Start by looking at the difference in the X and Y coordinates.

X = | -4 - 12 | = | -16 | = 16

Y = | 7 - -1 | = | 8 | = 8

You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.

Now add those calculated offsets to point A.

A has an X coordinate of -4 and B has an X coordinate of 12 and the X coordinate for C must be between those limits. So calculate -4 + 2 = -2 to get the X coordinate for C.

The Y coordinate of A is 7 and the Y coordinate of B is -1. And since the Y coordinate must be between then, you have 7 - 1 = 6.

So the coordinates for C is (-2, 6)

8 0
3 years ago
Solve the following equation.<br> Round to the nearest tenth.<br> 8 - 5.4x = 9 + 3.3x
Arada [10]

Answer:

x = 0.1

Step-by-step explanation

3 0
3 years ago
Given h (t) = negative 2 (t + 5) squared + 4, find h (negative 8)
kaheart [24]

Answer:

h(-8)= -14

Step-by-step explanation:

h(-8)= -2(-8 + 5)^2  + 4

h(-8)= -2(-3)^2  + 4

h(-8)= -2(9) + 4

h(-8)= -18 + 4

h(-8)= -14

4 0
3 years ago
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