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Alja [10]
3 years ago
8

Find the diameter of Oo. A line that appears to be tangent is tangent. If your answer is not a whole

Mathematics
1 answer:
Trava [24]3 years ago
8 0

Answer:

Diameter = 9

Step-by-step explanation:

Let the diameter be represented as x.

Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:

(16 + x)(16) = 20²

256 + 16x = 400

Subtract 256 from each side

16x = 400 - 256

16x = 144

Divide both sides by 16

x = 144/16

x = 9

Diameter = 9

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4 x 20 and that is 160
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Standard sheet of paper in the United States is 11 inches long and 8.5 inches wide. Each inch is 2.54 cm. How long and wide is a
Virty [35]
27.94 cm long, 21.59 long :]
3 0
3 years ago
The angle 01 is located in Quadrant I, and sin(01)=1/2 what is the value of cos(01)
vovikov84 [41]

Answer:

The value of Cos(01) is 0.866 or √3/2

Step-by-step explanation:

In this question, we are asked to calculate the value of cos (01) given the value of sin(01)

Now, given the value of sin (01), we can calculate the value of cos (01).

To get the value of 01, we simply find the value of the arc sin 01

Mathematically since sin (01) = 1/2

(01) = arc sin (1/2)

(01) = 30 degrees

Now since 01 = 30 degrees

cos 01 = Cos (30) = 0.8666 or simply √3/2

4 0
2 years ago
An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation ℎ(
maw [93]
  1. The irrigation system is positioned 9.5 feet above the ground to start.
  2. The spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.
  3. The spray reaches all the way to the ground at about 10.87 feet away​

<h3>How to determine the position?</h3>

Since the height (feet) of the spray of water is given by this equation h(x) = -x² + 10x + 9.5, we can logically deduce that the irrigation system is positioned 9.5 feet above the ground to start.

<h3>How to determine the maximum height?</h3>

For any quadratic equation with a parabolic curve, the axis of symmetry is given by:

Xmax = -b/2a

Xmax = -10/2(-1)

Xmax = 5.

Thus, the maximum height on the vertical axis is given by:

h(x) = -x² + 10x + 9.5

h(5) = -(5)² + 10(5) + 9.5

h(5) = -25 + 50 + 9.5

h(5) = 34.5 feet.

Therefore, the spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.

Also, the spray reaches all the way to the ground at about:

Maximum distance = √34.5 + 5

Maximum distance = 10.87 feet.

Read more on maximum height here: brainly.com/question/24288300

#SPJ1

<u>Complete Question:</u>

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x² + 10x + 9.5, where x is the number of feet away from the sprinkler head (along the ground) the spray is.

1. The irrigation system is positioned____ feet above the ground to start.

2. The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.

3. The spray reaches all the way to the ground at about_____ feet away​

8 0
2 years ago
−2⋅f(−6)−7⋅g(−7)=<br> what is the answerrr
Mrrafil [7]

Answer:

idk know dude I'm sorry

4 0
2 years ago
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