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NNADVOKAT [17]
3 years ago
9

What is the name of the shape graphed by the function r = 2 - costheta

Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0

Answer:

limaçon (no inner loop)

Step-by-step explanation:

The equation of a limaçon is written generically as ...

r = b + a·cos(θ)

For b=2 and a=1, this would put the flat side on the left. Rotating it 180° can be accomplished by adding or subtracting π from θ. Then the equation can be ...

r = 2 + cos(θ-π) . . . . or ...

r = 2 - cos(θ)

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if there are 1 horse that needs 5.4 liters of water every day. If a farm has 13 horses, how much liters of water would they need
spin [16.1K]

Answer:

491.4 litres

Step-by-step explanation:

(5.4×13)×7 = 491.4

5 0
3 years ago
The diameter of a circle is 14 in. Find its area in terms of
Luda [366]

Answer:

Given - Diameter of circle = 14 in

To find - Area of circle

Solution -

Diameter= 2 × Radius

14 = 2 × R

14/2 = R

7 = R

Area of circle= π r^²

22/7 × 7 × 7

22 × 7

154

7 0
2 years ago
What is the APY of a savings account with an APR of 3.9742% compounded monthly? Answer to the four decimal place
Maurinko [17]

Answer:

The APY of the saving account is 4.0474%

Step-by-step explanation:

We know the formula for APY which is given by

APY=(1+\frac{r}{n} )^n-1

here, r= interset rate =  3.9742% = 0.039742

n = compounding cycles = 12

On plugging these values in the above formula, we get

APY=(1+\frac{0.039742}{12} )^{12}-1

On simplifying this we get

APY =0.04047395=4.0474%

6 0
3 years ago
Read 2 more answers
One line passes through the point (-8,1) and (4,4). Another line passes through points (-9,-7) and (9,-3). Are the lines paralle
guajiro [1.7K]

Answer:

The correct answer is neither.

Step-by-step explanation:

To find the relationship between the lines, find the slope of each. You can do this by using the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (4 - 1)/(4 - -8)

m = 3/12

m = 1/4

Now do so for the second line.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-3 - -7)/(9 - -9)

m = 4/18

m = 2/9

Since they are not the same and not opposite/reciprocal, then we know they are neither parallel nor perpendicular.

6 0
3 years ago
Read 2 more answers
What is the equation of the line with a slope of 2 through the points 2,4
Lera25 [3.4K]

Answer:

y = 2x

Step-by-step explanation:

y=mx+b

m=2

x=2

y=4

4=2*2 + b

b = 4 - 4

b = 0

y = 2x

4 0
3 years ago
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