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2 years ago

All angles in the diagram are measured to the nearest degree.

Mathematics

2 answers:

Brut [27]2 years ago

8 0

From the full angle (360°) you take away the given values-

360 - 81 - 108 - 59 =

112° ≅ is your answer

IceJOKER [234]2 years ago

3 0

Answer:

113.5°

Step-by-step explanation:

All angles in the diagram are measured to the nearest degree. Then 59° could actually be something between 58.5° and 59.5°. Analogously, 108° is between 107.5° and 108.5°, and 81° is between 80.5° and 81.5°

The addition of the four angles must be equal to 360°

The upper bound (the maximum possible value) of x is then:

x = 360° - (58.5° + 107.5° + 80.5°) = 113.5°

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1. You are standing on top of a ridge using a clinometer trying to figure out how far your dog has wandered off in

olga_2 [115]

Given:

It is given that the ridge is 360 inches tall.

Assumptions:

Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is $360+67 = 427$ inches.

The distance from your eye level to the bottom of the ridge is 427 inches.

Assume the angle A is 60°.

To find the distance from you to your dog.

Solution:

A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.

Assume the hypotenuse of the triangle measures x inches.

To determine the length of the hypotenuse, we determine the cos of the angle.

$cos \theta = \frac{adjacent side}{hypotenuse} .$

$cos A = \frac{427}{x} , x = \frac{427}{cos60} , cos60=0.5.$

$x=\frac{427}{0.5} = 854.$

So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.

3 0

3 years ago

What is the solution to the inequality?

Dvinal [7]

-4x-8>-20
+8 +8
-4x>-12

Divide by 4 on both sides
x<3
Should be A.
Hope this helps.

4 0

2 years ago

Hộp đựng 3 bi đỏ, 5 bi trắng và 7 bi xanh lấy ngẫu nhiên 2 bi. Tính xác suất? a, Có 1 bi đỏ trong 2 bi lấy ra b, Có ít nhất 1 bi

Vikentia [17]

Answer:

a) 3C1 * 12 C1 / 15 C2

b) 1 - 12C2 / 15C2

Step-by-step explanation:

Được

Viên bi đỏ = 3

Viên bi trắng = 5

Viên bi xanh = 7

Hai quả bóng được rút ra một cách ngẫu nhiên

a) Có 1 bi đỏ

3C1 * 12 C1 / 15 C2

b) Có ít nhất 1 viên bi đỏ trong số 2 viên lấy ra.

Số kết quả của việc chọn hai quả bóng trong số 15 quả bóng = 15 C2

Số kết quả của việc chọn 0 quả bóng đỏ = 15C12

Xác suất chọn được ít nhất 1 viên bi đỏ = 1 - 12C2 / 15C2

5 0

2 years ago

I am confused with everything

notsponge [240]

I think it's x^3+2x^2-4

5 0

2 years ago

How do you write 9.964 as a percentage

BARSIC [14]

Answer:

If theres a whole number, it’s the whole number but make it into the hundreds.
its 9.964.
We already know its 900% and up.
.964 is 964/1000
So .964
996.4%
If you want a easier way, you can always mov the decimal place 2 times to the right.

8 0

1 year ago