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2 years ago

The table below shows the distance a car travels and the amount of gasoline left in the tank of the car.

Mathematics

2 answers:

Fynjy0 [20]2 years ago

5 0

Answer:22478

Step-by-step explanation:

victus00 [196]2 years ago

5 0

Answer:

its b

Step-by-step explanation:

i just took the test

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Prove that<br> 1+cosθ+sinθ/1+cosθ-sinθ = 1+sinθ/cosθ

marusya05 [52]

Step-by-step explanation:

(1 + cos θ + sin θ) / (1 + cos θ − sin θ)

Multiply by the reciprocal:

(1 + cos θ + sin θ) / (1 + cos θ − sin θ) × (1 + cos θ + sin θ) / (1 + cos θ + sin θ)

(1 + cos θ + sin θ)² / [ (1 + cos θ − sin θ) (1 + cos θ + sin θ) ]

(1 + cos θ + sin θ)² / [ (1 + cos θ)² − sin² θ) ]

Distribute and simplify:

(1 + cos θ + sin θ)² / (1 + 2 cos θ + cos² θ − sin² θ)

[ 1 + 2 (cos θ + sin θ) + (cos θ + sin θ)² ] / (1 + 2 cos θ + cos² θ − sin² θ)

(1 + 2 cos θ + 2 sin θ + cos² θ + 2 sin θ cos θ + sin² θ) / (1 + 2 cos θ + cos² θ − sin² θ)

Use Pythagorean identity:

(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (sin² θ + cos² θ + 2 cos θ + cos² θ − sin² θ)

(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (2 cos² θ + 2 cos θ)

(1 + cos θ + sin θ + sin θ cos θ) / (cos² θ + cos θ)

Factor:

(1 + cos θ + sin θ (1 + cos θ)) / (cos θ (1 + cos θ))

(1 + cos θ)(1 + sin θ) / (cos θ (1 + cos θ))

(1 + sin θ) / cos θ

3 0

2 years ago

(2c^{-5})^{3} simplify

andrew-mc [135]

Answer:

Step-by-step explanation:

If this is

$(2c^{-5})^3$ then you distribute the 3 to both terms inside the parenthesis (the 2 and the c^-5). 2 cubed is 8. The rule for the power to power is that you multiply the powers together to get -15. So the final simplification is

$8^{-15}$

6 0

2 years ago

Which two ratios form a proportion?

Alex17521 [72]

Step-by-step explanation:

4 and 5 is one 20/25

3 0

2 years ago

Read 2 more answers

In which place is the digit in the number 5,341 that would be changed to form 5,841? How do the values of the two numbers compar

Colt1911 [192]

We want to change the digit in the number 5,341 into 5,841, and to find the difference between the numbers.

Refer to the figure shown below.
The number 3 is in the 3rd place (hundreds) of the number 5,341 as a digit.
It is replaced by 8 to form the number 5,841.

This means that 300 is replaced by 800 because, in the third place, we count by hundreds in the 3rd place.
The difference between 800 and 300 is 500.

Subtraction of 5,341 from 5,841 also yields 500.

Answer:
The digit is in the 3rd place (hundreds).
The difference between the numbers is 500.