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2 years ago

Write 65% as a fraction in simplest form.

Mathematics

2 answers:

zhenek [66]2 years ago

4 0

Answer:

13/20

Step-by-step explanation:

65% is equivalent to 64/100.

Simplified, is 13/20 because 64 divided by 5 is 13, and what you do to the numirator, you do to the dinominator,

Therefore, 100 divided by 5 = 20.

So the answer is 13/20.

ollegr [7]2 years ago

3 0

Answer:

$\huge 65\% = \frac{65}{100} = 0.65$

Simplest form =(65÷5)/(100÷5)=<u>13/20</u>

hope this helps.

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1. A boat drifted 15 m out into the water off Ocean Beach, where the shore drops off

Lunna [17]

The correct responses found using trigonometric ratios are as follows;

Brooke's cannot bring the boat back without getting water over her boots.
The plan will not be approved
The plane will not disturb
The company can not use the chimney legally
The Long company will build the bridge
The fireman can reach her.
The lift does not take the skiers up to the bar.
Eric will be able to see his Dad's plane.
The 73 m. brace

<h3>How can trigonometric ratios be used to find the right responses?</h3>

1. The depth of the water = 15 × tan(4°) = 1.049 m

The height of Brooke's boot = 1 m

Therefore;

Brooke's cannot bring the boat back without getting water over her boots.

2. The angle of elevation of the plan = arccos(99/100) ≈ 8.110°

Given that the angle of elevation the plan, 8.110°, is more than 8° limit, we find;

The plan will not be approved.

3. Height reached by the plane = 9 × tan(21°) = 3.455

Therefore;

The plane will not disturb.

4. Height of the chimney at the factory = 50 × tan(51°) = 61.745

The minimum chimney height = 65 m.

Therefore;

The company can not use the chimney legally.

6. Length of the bridge = 72 × tan(55°) ≈ 102.83

Therefore;

The Long company will build the bridge because it is longer than 100 m. but not more than 103 m.

7. Height reached by the ladder = 26 × sin(43°) ≈ 17.7

Therefore;

The fireman can reach her.

8. Height reached by the ski lift = 1000 × sin(29°) ≈ 484.8

Therefore;

The lift does not take the skiers up to the bar.

9. Height reached by plane = 26 × tan(9°) ≈ 4.12

The plane flies under the cloud therefore;

Eric will be able to see his Dad's plane.

10. Length required for the metal brace = 21/(cos(73°)) ≈ 71.83

Therefore;

The brace that wastes less metal is the 73 m. brace, because the 71 m. brace is not long enough and two braces will be required.

Learn more about trigonometric ratios here:

brainly.com/question/24349828

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1 year ago

X^2 = -8x - 7 Rewrite the equation by completing the square. What are the solutions?

gladu [14]

1) rewrite the equation by completing the square

(X+4)^2=9

2) what are the solution to the equation

Answer A= X=-4 plus and minus 3

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3 years ago

The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with a mean of 6.7

hram777 [196]

We need to work out the z-value of each question to work out the probability

Question a)

We have
X = 5 minutes
The mean, μ = 6.7 minutes
Standard deviation, σ = 2.2 minutes
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We want to find the probability of z < -0.77 so we read the z-table for the value of z on the left of -0.77 we have the probability P(z< -0.77) = 0.2206

The table is attached in picture 1 below

The probability of assembly time less than 5 minutes is 0.2206 = 22.06%

Question b)

z-score = (10-5) / 2.2 = 2.27

Reading the z-table for P(z<2.27) = 0.9884
The table reading is shown in the second picture below

The probability the assembly time will be less than 10 minutes is 0.9884

We can use this information to find the probability of the assembly time will be more than 10 minutes = 1 - 0.9884 = 0.0116 = 1.16%

Question c)

The value of z between 5 minutes and 10 minutes is

P(-0.77<z<2.27) = P(z<2.27) - P(z< -0.77)
P(-0.77<z<2.27) = 0.9884 - 0.2206 = 0.7678 = 76.78%

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3 years ago

What is the area of 25 pi?

joja [24]

Answer:

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3 years ago

Which of the following expressions are equivalent to -19/8 x(-50)

dmitriy555 [2]

1. Move the negative sign to the left.

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