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Genrish500 [490]
2 years ago
7

HELP ME PLSSSSSSSSSSS

Mathematics
1 answer:
Bezzdna [24]2 years ago
8 0

Answer:

Option H, 120 units

Step-by-step explanation:

Total rectangle area:

width x length

10 units x 24 units = 240 units

Area of 1 shaded traingle:

A = (height) x (width) / 2

A = (12 units) x (10 units) / 2

A = 120 units / 2

A = 60

Now mutiple A by 2 since we have two shaded regions

60 x 2 = 120

Subtract the entire rectangle area with the shaded area to get the unshdaed area

240 units - 120 units = 120 units

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Find the​ slope-intercept form of the line whose slope is 5 and that passes through the point left (-2,8)
Doss [256]
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45

Step-by-step explanation:

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3 years ago
The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its
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Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

b = 3 + 2h

Area = 22

Required

Find the length of the base

The area of a triangle is calculated as thus;

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Substitute 22 for Area and 3 + 2h for b

The formula becomes

22 = \frac{1}{2} * (3 + 2h) * h

Multiply both sides by 2

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Open the bracket

44 = 3 * h + 2h * h

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Subtract 44 from both sides

44 - 44 = 3h + 2h^2 - 44

0 = 3h + 2h^2 - 44

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0 = 2h^2 +3h - 44

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At this point, we have a quadratic equation; which is solved as follows:

2h^2 +3h - 44 = 0

2h^2 + 11h - 8h - 44 = 0

h(2h + 11) - 4(2h + 11) = 0

(h - 4)(2h + 11) = 0

Split the above

(h - 4) = 0\ or\ (2h + 11) = 0

h - 4 = 0\ or\ 2h + 11 = 0

Solve the above linear equations separately

h - 4 = 0

Add 4 to both sides

h - 4 + 4 = 0 + 4

h = 0 + 4

h = 4 ---- <em>First value of h</em>

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Subtract 11 from both sides

2h + 11 - 11 = 0 - 11

2h  = 0 - 11

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Divide both sides by 2

\frac{2h}{2} = -\frac{11}{2}

h = -\frac{11}{2}<em> ------ Second value of h</em>

Since height can be negative, we'll discard h = -\frac{11}{2}

Hence, the usable value of height is h = 4

Recall that b = 3 + 2h

Substitute 4 for h

b = 3 + 2(4)

b = 3 + 8

b = 11

Hence, the length of the base is 11 meters

3 0
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3 years ago
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