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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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find the area of each sector. Use a 3.4 as the value of pi. Round your answer to the nearest tenth. Label unit.​ part 2
Vlada [557]

Answer:

153.9 m² (nearest tenth)

Step-by-step explanation:

When the angle is measured in degrees, the formula of the area of sector is:

\frac{θ°}{360°}  \times \pi {r}^{2}

Given: r= 14m, θ= 90

Area of sector

=  \frac{90°}{360°}  \times 3.14 \times  {14}^{2}  \\  = 153.86 \\  = 153.9 \: m^{2}  \\ (nearest \: tenth)

7 0
3 years ago
Write the slope-intercept form of the equation of the line through the given point with the given slope.
masya89 [10]

Answer:

y = 2x + 15

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 2 , then

y = 2x + c ← is the partial equation

to find c substitute (- 4, 7 ) into the partial equation

7 = - 8 + c ⇒ c = 7 + 8 = 15

y = 2x + 15 ← equation of line

6 0
2 years ago
The following data are from a completely randomized design.
taurus [48]
Sorry I need the 2 answers to ask my own. I wouldn’t of understood this wnywyas. Hopefully you find someone who can do it
5 0
3 years ago
What value of x makes the equation 3(x - 6) - 8x = -2 + 5(2x + 1) true ?
Romashka-Z-Leto [24]

Answer:

x = -3

Step-by-step explanation:

3(x - 6)= -2 + 5(2x + 1)

= 3x - 18 = -2 + 10x + 5

= -18 = -2 + 7x + 5

= -18 = 7x + 3

= -21 = 7x

= -3 = x

= x = -3

5 0
3 years ago
Ed is 7 years older than Ted. Ed’s age is also 3/4 times Ted’s age. How old are Ed and Ted?
svetlana [45]
Let Ted be x.

Ed is 7 years older =  x  + 7

Ed = (3/4)Ted

(x + 7) = (3/4)x

x + 7 = 3x/4

x - 3x/4 = -7

x/4 = -7

x = -28,           Ted = -28 years.

(x + 7) = -28 + 7 = -21,      Ed = -21 years

Goodness. We had negative numbers for the ages, well does that make sense?  No it doesn't.

Our answer is correct. But the sense in the question is lacking. The question has been wrongly set.

<span>We might assume negative ages to mean before they came into the world, before birth! </span>
7 0
3 years ago
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