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ad-work [718]
3 years ago
14

Convert r=53sinθ−cosθ to rectangular form.

Mathematics
1 answer:
Helga [31]3 years ago
3 0

Answer:

y = \frac{1}{3} x + \frac{5}{3}

Step-by-step explanation:

r = 5/(3sinθ-cosθ)

multiply both sides by (3sinθ-cosθ):

r(3sinθ-cosθ) = 5

expand:

3rsinθ-rcosθ = 5

replace rsinθ with y and rcosθ with x:

3y-x = 5

add x to both sides:

3y = x + 5

divide both sides by 3:

y = 1/3x + 5/3

: )

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5x + 3 = 7x – 1. Find x
nasty-shy [4]

Answer:

x = 2

Step-by-step explanation:

5x + 3 = 7x - 1

Subtract 3 to both sides

5x = 7x - 4

Subtract 7x to both sides

-2x = -4

Divide by -2 to both sides.

x = 2

Hope this helps and pls do mark me brainliest if you can:)

5 0
3 years ago
A warehouse has 1,750 boxes of water bottles. A truck unloaded another 530 boxes at the warehouse. Each box holds 48 bottles of
Lapatulllka [165]

Answer:

109440

Step-by-step explanation:

1750 boxes of water bottles with 48 bottles of water each: 1750 x 48 = 84000

plus the other 530 boxes at the warehouse which alone are: 530 x 48 = 25440

adding up 84000 + 25440 = 109440

8 0
3 years ago
Find the midpoint of the line segment with the given endpoints: (-1, -6) and (-6, 5).
Vikentia [17]

Answer:

Step-by-step explanation:

First, we will find the midpoint for the x - coordinate first.

Midpoint (x) = \frac{-1+(-6)}{2} \\=\frac{-1-6}{2} \\=\frac{-7}{2} \\=-3.5

Now we will find the midpoint for the y - coordinate.

Midpoint (y) = \frac{-6+5}{2} \\=\frac{-1}{2} \\=-0.5

Therefore from these 2 values we know that the midpoint of this 2 points is (-3.5,-0.5)

8 0
2 years ago
Hi can someone please answer my question please don't put random letters. thank you ❤️​
patriot [66]

Answer:

a

d

A

c

c

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Which statement is true about the angles?
liq [111]

Complete Question:

Triangle abc has the angle mesausres shown.

m<A = (2x)°

m<B = (5x)°

m<C = (11x)°

Which statement is true about the angles?

A. m<A = 20°

B. m<B = 60°

C. m<A and m<B are complementary

D. m<A + m<C = 120°

Answer:

A. m<A = 20°

Step-by-step explanation:

m<A + m<B + m<C = 180° (sum of interior angles of a triangle)

2x + 5x + 11x = 180 (substitution)

Solve for x. Add like terms.

18x = 180

Divide both sides by 18

\frac{18x}{18} = \frac{180}{18}

x = 10

Find the measure of each angle by substituting x = 10:

m<A = (2x)° = 2(10) = 20°

m<B = (5x)° = 5(10) = 50°

m<C = (11x)° = 11(10) = 110°

Therefore, the only true statement is:

A. m<A = 20°

3 0
3 years ago
Read 2 more answers
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