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3 years ago

Convert the Cartesian equation x - 5 = 0 to a polar equation.

Mathematics

1 answer:

mylen [45]3 years ago

5 0

Answer:

r = 5sec(θ)

Step-by-step explanation:

The usual conversion is ...

y = r·sin(θ)

x = r·cos(θ)

The second of these can be used here.

r·cos(θ) -5 = 0

r·cos(θ) = 5

r = 5/cos(θ) = 5sec(θ)

A suitable polar equation is ...

r = 5sec(θ)

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I don't even know how to figure this out. I don't have a formula for this

yuradex [85]

Answer:

$\sin\theta=\dfrac{15}{17}$

$?=15$

Step-by-step explanation:

Use the trigonometry formula

$\cos^2\theta+\sin^2\theta=1$

You are given that

$\cos \theta=\dfrac{8}{17}$

Substitute into the first formula

$\left(\dfrac{8}{17}\right)^2+\sin^2\theta=1\\ \\\dfrac{64}{289}+\sin^2\theta=1\\ \\\sin^2\theta=1-\dfrac{64}{289}=\dfrac{289-64}{289}=\dfrac{225}{289}\\ \\\sin \theta=\pm \dfrac{15}{17}$

Angle $\theta$ is acute angle, then the sine of this angle is positive and

$\sin\theta=\dfrac{15}{17}$

3 0

4 years ago

Martha works in a toy shop and earns $44 Per day. She earns an extra $2 for each toy she sells. If Martha wants to earn at least

Nikitich [7]

Answer: 18

Step-by-step explanation:

80 - 44 = 36

36 / 2 = 18

6 0

3 years ago

The estimated quotient of 895 divided by 19 is what number?a. 40 b. 45 c. 55 d. 60

Ira Lisetskai [31]

Answer:

b. 45

Step-by-step explanation:

895 ÷ 19 = 47.1

47.1 rounded is 50, but since there is no 50 option, we'll just round it down to 45.

another way:

round 895 (900) and 19 (20)

divide:

895 ÷ 20 = 45

you'll get 45 either way :)

7 0

3 years ago

What is the measure of angle C?

Aleksandr-060686 [28]

Answer:

38 or 76 but i think its 76

Step-by-step explanation:

3 0

3 years ago

PLEASE HELP!! i'm writing a test and i have no idea how to do this. (I'm giving 30 points)

Vesna [10]

Answer:

12/y

Step-by-step explanation:

if you see in the picture the first three numbers 3,6 and 9 you add 3 in each number like 3+3=6 then 6=3 = 9 and 9 + 3 = 12 and so on. ( 45 also comes in this pattern )

have a wonderful day

8 0

3 years ago