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IgorLugansk [536]
3 years ago
14

Belle ran 5 5/6 miles around the track. Each lap is 5/6 of a mile. How many laps did Belle run?

Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0
Belle ran 4 31/36laps

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let (-5,-7) be a point on the terminal side of theta. find the exact values of cos theta, sec theta, and cot theta
Svet_ta [14]

a. The exact value of cosθ = -5/√74

b. The exact value of secθ = -√74/5

c. The exact value of cotθ = 5/7

<h3>How to find the trigonometric ratios</h3>

Since the terminal side of the θ is the point, (-5, -7), we need to find the length of the terminal side.

So, r = √(x² + y²) where

  • x = -5 and
  • y = -7

So, r = √(x² + y²)

r = √((-5)² + (-7)²)

r = √(25 + 49)

r = √74

<h3>The value of the trigonometric ratio cosθ</h3>

Since the trigonometric ratio cosθ = x/r

Substituting the values of x and r into the equation, we have

cosθ = x/r

cosθ = -5/√74

So, the exact value of cosθ = -5/√74

<h3>The value of the trigonometric ratio secθ</h3>

Since the trigonometric ratio, secθ = r/x

Substituting the values of x and r into the equation, we have

secθ = r/x

secθ = √74/-5

secθ = -√74/5

So,  the exact value of secθ = -√74/5

<h3>The value of the trigonometric ratio cotθ</h3>

Since the trigonometric ratio cotθ = x/y

Substituting the values of x and y into the equation, we have

cotθ = x/y

cotθ = -5/-7

cotθ = 5/7

So,  the exact value of cotθ = 5/7

Learn more about trigonometric ratios here:

brainly.com/question/1518222

#SPJ1

3 0
2 years ago
URGENT DUE BY 1:00 FOR MY FINAL GRADE PLEASE HELP OR I WILL FAIL SEMESTER WILL RATE GOOD THX BLESS YOU!!!!
Lesechka [4]
F(x) = 3x + 11
Is the function used to show this.

when you know this, you are able to do the following:
f(10) = 30 + 11 = $41
That would be the allowance of the 10th week.

The question, however wants the total.

This again, can be done like this:
f(1) + f(2) + f(3) + f(4) + f(5) + f(6) + f(7) + f(8) + f(9) + f(10) = $275 :)
14 + 17 + 20 + 23 + 26 + 29 + 32 + 35 + 38 + 41 = $275

Sure there is a better formula, but i couldnt seem to make it, sorry.

HUGE UPDATE: The sum is $275 not 200..


3 0
3 years ago
Read 2 more answers
28)A regression equation is obtained for a collection of paired data. It is found that the total variation is 24.488, the explai
Doss [256]

Answer: The coefficient of determination = 0.6291

Step-by-step explanation:

Given: Total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083.

The coefficient of determination is computed as:

\text{ coefficient of determination} =\frac{\text{explained variation }}{\text{total variation}}

Substituting given values, we get

\text{coefficient of determination} =\frac{15.405}{24.488}

=0.6291

Therefore, the coefficient of determination = 0.6291

7 0
2 years ago
The sum of two numbers is 25. One of he numbers exceeds the other by 9. Find the numbers
Vitek1552 [10]
X + y = 25
x is the smaller number.
y is the smaller number plus 9 (x + 9).

x + (x + 9) = 25
2x + 9 = 25
2x = 16
x = 8

8 + y = 25
y = 17

The numbers are 8 and 17.
3 0
3 years ago
Read 2 more answers
Can you guys help me
serious [3.7K]

Answer:

A

Step-by-step explanation:

If you put it in Desmos, you can see that the first one is a linear function.

It moves 5 to the right and move down 2 steps

7 0
3 years ago
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