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Ainat [17]
2 years ago
7

HELPPP!!!!! AGAIN !!! MAARKING BRAINLIST! mAtH

Mathematics
2 answers:
soldi70 [24.7K]2 years ago
5 0

Answer:

S = 10

Step-by-step explanation:

If they are congruent then 8 dived by 2 is 4.

To solve for S you reverse it,  5 times 2 is 10.

Vinil7 [7]2 years ago
4 0

Answer:

S = 10

Step-by-step explanation:

Proportion is 2:1

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

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Determine the graph of the polar equation r =6/2-2cos theta<br> (picture provided)
vredina [299]

Answer:

Choice D is correct

Step-by-step explanation:

The first step is to write the polar equation of the conic section in standard form by dividing both the numerator and the denominator by 2;

r=\frac{3}{1-cos(theta)}

The eccentricity of this conic section is thus 1, the coefficient of cos θ. Thus, this conic section is a parabola since its eccentricity is 1.

The value of the directrix is determined as;

d = k/e = 3/1 = 3

The denominator of the polar equation of this conic section contains (-cos θ) which implies that this parabola opens towards the right and thus the equation of its directrix is;

x = -3

Thus, the polar equation represents a parabola that opens towards the right with a directrix located at  x = -3. Choice D fits this criteria

5 0
3 years ago
To practice for a competition, Jenna swam 680 meters in the pool each day for 3 weeks. How many kilometers did Jenna swim in tho
Kruka [31]

Answer:

2.04 km

Step-by-step explanation:

there are 1,000 m in 1 km

she was 680 x 3 meters = 2,040 m

2,040 m = 2.04 km

7 0
2 years ago
Find the slope of the tangent line to the given polar curve at the point specified by the value of θ
MariettaO [177]

The given curve has equation

<em>r(θ)</em> = 9 + 8 cos(<em>θ</em>)

and its derivative is

d<em>r</em>/d<em>θ</em> = -8 sin(<em>θ</em>)

When <em>θ</em> = <em>π</em>/3, we have <em>r</em> (<em>π</em>/3) = 13, and d<em>r</em>/d<em>θ</em> (<em>π</em>/3) = -4√3.

Differentiate these with respect to <em>θ</em> :

d<em>y</em>/d<em>θ</em> = d<em>r</em>/d<em>θ</em> sin(<em>θ</em>) + <em>r(θ)</em> cos(<em>θ</em>)

d<em>x</em>/d<em>θ</em> = d<em>r</em>/d<em>θ</em> cos(<em>θ</em>) - <em>r(θ</em>) sin(<em>θ</em>)

In polar coordinates, we have

<em>y(θ)</em> = <em>r(θ)</em> sin(<em>θ</em>)

<em>x(θ)</em> = <em>r(θ)</em> cos(<em>θ</em>)

and when <em>θ</em> = <em>π</em>/3, we have <em>y</em> (<em>π</em>/3) = 13√3/2 and <em>x</em> (<em>π</em>/3) = 13/2.

The slope of the tangent line to the curve is d<em>y</em>/d<em>x</em>. By the chain rule,

d<em>y</em>/d<em>x</em> = d<em>y</em>/d<em>θ</em> • d<em>θ</em>/d<em>x</em> = (d<em>y</em>/d<em>θ</em>) / (d<em>x</em>/d<em>θ</em>)

d<em>y</em>/d<em>x</em> = (d<em>r</em>/d<em>θ</em> sin(<em>θ</em>) + <em>r(θ)</em> cos(<em>θ</em>)) / (d<em>r</em>/d<em>θ</em> cos(<em>θ</em>) - <em>r(θ</em>) sin(<em>θ</em>))

When <em>θ</em> = <em>π</em>/3, the slope is

d<em>y</em>/d<em>x</em> = (-4√3 sin(<em>π</em>/3) + 13 cos(<em>π</em>/3)) / (-4√3 cos(<em>π</em>/3) - 13 sin(<em>π</em>/3))

d<em>y</em>/d<em>x</em> = (-4√3 (√3/2) + 13 (1/2)) / (-4√3 (1/2) - 13 (√3/2))

d<em>y</em>/d<em>x</em> = - 1/(17√3)

So, the tangent line has slope -1/(17√3) and passes through (13/2, 13√3/2). Using the point-slope formula, its equation is

<em>y</em> - 13√3/2 = -1/(17√3) (<em>x</em> - 13/2)

<em>y</em> = -(<em>x</em> - 338)/(17√3)

4 0
2 years ago
The sum of three consecutive odd integers is 87. Which equation could you use to find the three
Alexandra [31]

Answer:

k+(k+2)+(k+4)=87

The largest integer is 31.

Step-by-step explanation:

Hi there!

Let <em>k</em> be equal to the smallest of the integers.

Let (<em>k</em>+2) be the next odd integer.

Let (<em>k</em>+4) be the final odd integer.

We're given that the sum of these three integers is 87. Construct an equation:

k+(k+2)+(k+4)=87

Combine like terms:

k+k+2+k+4=87\\3k+6=87\\3k=81\\k=27

Therefore, the smallest integer is 27. Because the largest integer is k+4, the largest integer is therefore 31.

I hope this helps!

7 0
3 years ago
What's the answer? please help
V125BC [204]

Answer:

C. 35

Step-by-step explanation:

I just went through all the numbers, multiplied them by 2, because you start with x which is 50, and the goal is to get to 120 with 50 and a number multiplied by two, so I tried 35 which would be 70 when multiplied by two, then added 50, which would make 120.

6 0
3 years ago
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