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mina [271]
2 years ago
13

15,970 divided by 20?

Mathematics
1 answer:
Zigmanuir [339]2 years ago
8 0

Answer:

798.5 is your answer

Step-by-step explanation:

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Isabella drove 8686 miles in 2 2/3 hours If she drove at a constant rate, how far did she travel in one hour? Enter your answer
tangare [24]
3257.25 would be your answer
6 0
3 years ago
Find the area lying outside r=6cos(theta) and inside r=3+3cos(theta)
Sloan [31]
The area bounded by the 2 parabolas is A(θ) = 1/2∫(r₂²- r₁²).dθ between limits θ = a,b... 

<span>the limits are solution to 3cosθ = 1+cosθ the points of intersection of curves. </span>
<span>2cosθ = 1 => θ = ±π/3 </span>

<span>A(θ) = 1/2∫(r₂²- r₁²).dθ = 1/2∫(3cosθ)² - (1+cosθ)².dθ </span>
<span>= 1/2∫(3cosθ)².dθ - 1/2∫(1+cosθ)².dθ </span>
<span>= 9/8[2θ + sin(2θ)] - 1/8[6θ + 8sinθ +sin(2θ)] .. </span>
<span>.............where I have used ∫(cosθ)².dθ=1/4[2θ + sin(2θ)] </span>
<span>= 3θ/2 +sin(2θ) - sin(θ) </span>

<span>Area = A(π/3) - A(-π/3) </span>
<span>= 3π/6 + sin(2π/3) -sin(π/3) - (-3π/6) - sin(-2π/3) + sin(-π/3) </span>
<span>= π.</span>
7 0
3 years ago
Write the standard form of the line that passes through the given points. include your work in your final answer. (-1, -3) and (
yan [13]

The standard form of a line passing through the points (-1, -3) and (2, 1) is <u>4x - 3y = 5</u>.

The slope of the given line, m = (1 - (-3))/(2 - (-1)) = (1 + 3)/(2 + 1) = 4/3.

Computed using the formula for the slope of a line, m = (y₂ - y₁)/(x₂ - x₁), when a line passes through the points (x₁, y₁) and (x₂, y₂).

The point intercept form of a line is <u>y - y₁ = m(x - x₁)</u> when the line passes through the point (x₁, y₁) and has the slope m.

Thus, the given line in the point intercept form can be written as:

y - 1 = (4/3)(x - 2).

The standard form of a line is ax + by = c.

To convert the point intercept form to the standard form, we do as follows:

y - 1 = (4/3)(x - 2),

or, 3(y - 1) = 3(4/3)(x - 2) {Multiplying both sides by 3},

or, 3y - 3 = 4x - 8 {Simplifying},

or, 8 - 3 = 4x - 3y {Rearranging},

or, 4x - 3y = 5 {Rearranging and simplifying}.

Thus, the standard form of a line passing through the points (-1, -3) and (2, 1) is <u>4x - 3y = 5</u>.

Learn more about equations of straight lines at

brainly.com/question/13763238

#SPJ4

6 0
2 years ago
What is the standard deviation of the following data? If necessary, round your answer to two decimal places.
blsea [12.9K]
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3 0
2 years ago
Find the perimeter of a<br> rectangle with length 6 units<br> and width 4 units.<br> wa
agasfer [191]

Answer:

The perimeter of the given rectangle  = 20 units.

Step-by-step explanation:

Length of the rectangle =  6 units

The width of the rectangle = 4 units

Now Perimeter of the Rectangle  = 2 ( LENGTH + WIDTH)

⇒Here, perimeter  = 2 ( 6 units + 4 units ) =  2 x ( 10 units)

                                 = 20 units

Hence, the perimeter of the given rectangle  = 20 units.

5 0
3 years ago
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