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Katen [24]
3 years ago
11

What is the length of the major axis of the conic section shown below?

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0

\dfrac{(x-2)^2}{49}+\dfrac{(y+5)^2}{36}=1

The equation of a elipse:

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1

The length of the major axis is equal 2a if a > b or 2b if b > a.

We have

a^2=49\to a=\sqrt{49}=7\\\\b^2=36\to b=\sqrt{36}=6\\\\a > b

therefore the length of the major axis is equal 2 · 7 = 14.

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A cone has a height of 8 yards and a radius of 3 yards. What is its volume?
alina1380 [7]
<h3>Given:</h3>
  • h= 8 yd
  • r= 3 yd
<h3>Note that:</h3>
  • h= Height
  • r= Radius
<h3>To find:</h3>

The volume of the given cone.

<h3>Solution:</h3>

\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}

\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}

Let's solve!

Substitute the values according to the formula.

V= \frac{1}{3}×3.14×{3}^{2}×8

\large\boxed{V= 75.36 \: {yd}^{3}}

<u>Therefore, the volume of the given cone is 75.36 cubic yards.</u>

7 0
1 year ago
I need help asap plz
IgorC [24]

Answer:light blue

Step-by-step explanation:

7 0
2 years ago
Help plz don't get this
loris [4]
(I see that your concentrating on the task at hand with those YT and fortnite tabs open)

The area of the parallelogram is "base times height," so its 20*8 which is 160.

To find the area of the triangle, we have to find the base which incorporates Pythagorean'd theorem.
100 - 64 = 36, sqrt 36 is 6. So the base of the triangle is 6, the height is 12.6, thus the area is 6.3 * 6, which is 37.8

Adding the two values up, we get 37.8 + 160 = 197.8


3 0
2 years ago
Read 2 more answers
Which of the following represents the quadratic function f (x) = 5(x − 2)2 − 7 in standard form?
wariber [46]

Answer:

f(x) = 10x - 27. I can't find the answer anywhere

Step-by-step explanation:

8 0
3 years ago
What is 20×10 to the third power equal
sveta [45]
Answer:

20000

Step-by-step explanation:

Your equation will look like this to the third power:

20 x 10^3

Step 1. Solve for 10^3

Answer: 1000

Step 2. Multiply 20 x 1000

Answer: 20000
5 0
2 years ago
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