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Margarita [4]
3 years ago
6

Which of the points shown below are on the line given by the equation

Mathematics
1 answer:
777dan777 [17]3 years ago
7 0
Point B and Point D are on the line
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Ksju [112]
The sum of complementary angles is 90 degrees, thus

3x + 6 + 3x + 18 = 90
=> 6x + 24 = 90
=> 6x = 90 - 24 = 66
=> x = 66 / 6 = 11

=> m<A = 3(11) + 6 = 33 + 6 = 39 degrees.
8 0
3 years ago
Round 111.11111 to the nearest ten thousandth.
aivan3 [116]
111.1 is the answer to the question
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Two people are standing on opposite sides of a hill. Person A makes an angle of elevation of 65° with the top of the hill and pe
8090 [49]

Answer:

Option 3. 71 ft. is the distance between B and top of the hill.

Step-by-step explanation:

Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.

It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.

We have to find the distance of B from the top of the hill.

Now from ΔACO tan 65 = \frac{h}{45-x} = 2.14

h=2.14(45-x)

From ΔBCO tan80 = \frac{h}{x} = 5.67

h = 5.67x

Now h = 5.67x = 2.14(45-x)

5.67x = 96.3 - 2.14x

2.14x + 5.67x = 96.3

7.81x = 96.3

x = 96.3/7.81 = 12.33 ft

Therefore cos80 = \frac{x}{OB}

0.174 = \frac{12.33}{OB}

OB = \frac{12.33}{.174}=70.86=71ft.

Therefore 71 ft is the distance between B and the top of the hill.

3 0
3 years ago
Solve for y in terms of x
Alika [10]

Answer:

(a) 3 - 2x - 2x²  (b) -21

Step-by-step explanation:

given, y +2x² = 3 -2x

make y the subject:

y = 3 - 2x - 2x²

if y = f(x)

then

f(x) = 3 - 2x - 2x²

(b)<u> to find f(3) we need to replace x with 3:</u>

<u />

3 - 2(3) - 2*(3)²

-21

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2 years ago
Graph the inequality;y&gt;-5x+3
Evgesh-ka [11]
Start your dot on 3 on the y axis. Move is downwards on the y axis by 5 everytime you move over once on the x axis. Shade all the stuff above the line since it says y is greater than -5x+3
7 0
3 years ago
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