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shutvik [7]
3 years ago
14

10 points plz help me

Mathematics
1 answer:
lord [1]3 years ago
8 0

Answer:

First drawing - answer is:  D: DG, FG and DE

Second drawing - answer is:  π (pi)

Third drawing - answer is:  70° ( If you mean on measure of central angle which is corresponing to the arc CB)

Fourth drawing - answer is: y=55° ( If you mean that the value of angle ∠AOB=70° )

Step-by-step explanation:

For the second drawing

arc AB = (r · π / 180) · α = (3 · π/180) · 60 = (180 · π) / 180 = π

For the third drawing

∠CAB is peripheral angle of the central angle ∠CFB.

∠CFB= 2·∠CAB= 2· 35° = 70°

Good luck!!!

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Answer:

So, Y (the up and down part of the graph) equals K (The constant of proportionality, you get it by dividing Y by X), times X (the side by side part of the graph.)

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To solve this problem you must apply the proccedure shown below:

1. The perimeter of a rectangle can be calculated with the following formula:

Perimeter=2Width+2Length

2. The width is:

Tan\alpha=opposite/adjacent\\Tan(72)=12/W\\ W=(12)(Tan(72))\\ W=3.89 in

3. Now, you must substitute the values into the formula for calculate the perimeter:

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7 0
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
Elodia [21]

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;

Area = \frac{1}{2} * b * h

Substitute 22 for Area and 3 + 2h for b

The formula becomes

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

Multiply both sides by 2

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

44 = (3 + 2h) * h

Open the bracket

44 = 3 * h + 2h * h

44 = 3h + 2h^2

Subtract 44 from both sides

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

0 = 3h + 2h^2 - 44

Rearrange

0 = 2h^2 +3h - 44

2h^2 +3h - 44 = 0

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>

2h + 11 = 0

Subtract 11 from both sides

2h + 11 - 11 = 0 - 11

2h  = 0 - 11

2h = -11

Divide both sides by 2

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

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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

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Answer:

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The answer is the last one

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