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nekit [7.7K]
3 years ago
7

Find the volume of a cone with a base radius of 6 yd and a height of 9 yd

Mathematics
1 answer:
Veronika [31]3 years ago
8 0
\text {Volume =}  \dfrac{1}{3}  \pi  r^{2} h

\text {Volume =}  \dfrac{1}{3}  \pi  (6)^{2} (9)

\text {Volume =}  339.29 \ yd^3
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the area of a triangle is 6 and 3/8 square yards. The height of the triangle is 2 and 1/2 yards. What is the length of the base
Otrada [13]

Solution:

<u>Note that:</u>

  • Area of triangle = 6 3/8 yd²
  • Height of triangle = 2 1/2
  • Area of triangle = 1/2 x base x altitude

<u>Use the formula to find the base of the triangle.</u>

  • 1/2 x base x altitude = 6 3/8 yd²
  • => 1/2 x base x 2 1/2 = 6 3/8 yd²
  • => 1/2 x base x 5/2 = 6 3/8 yd²
  • => 5/4 x base = 6 3/8 yd²
  • => base = 6 3/8 ÷ 5/4 yd
  • => base = 51/8 x 4/5 yd
  • => base = 51/2 x 1/5 yd
  • => base = 51/10 yd

The length of the base is 51/10 yards.

8 0
2 years ago
Read 2 more answers
What is the reason for statement 7 in the given proof?
3241004551 [841]

Answer: definition of slope

Step-by-step explanation:

The results in step 7 come from substituting the coordinates into the slope formula.

5 0
1 year ago
The graph below shows the length of Jutta's hair over a 6 month period. Each point represents a measurement at the beginning of
cestrela7 [59]
Her hair grew 3.6 inches between the beginning of March and the beginning of June
4 0
3 years ago
F (x) = |x + 3| -1 . Find the average rate of change from x = -6 to x = 8
Elenna [48]
Average rate of change is (f(8) - f(-6))/(8 - (-6)) = ((<span>|8 + 3| -1) - (</span><span>|-6 + 3| -1))/(8 + 6) = ((</span><span>|11| -1) - (</span><span>|-3| -1))/14 = ((11 - 1) - (3 - 1))/14 = (10 - 2)/14 = 8/14 = 4/7</span>
3 0
2 years ago
Fill in the missing numbers along the sides of the triangle so that it contains each of the numbers from 4 through 12 exactly on
elixir [45]

Answer:  A B == 9 + 11   CD == 5 +7  E F == 6 + 10

Step-by-step explanation:

(This reminds me of a "formula" I developed a few years ago when I was photographing formal groups, and had to figyre out how many people to put in each row, and the rows had to be different lengths)  Anyway--

Get the sum of the numbers at the angles, subtract that number from 32, and that's the amount needed for the row.

Once I have that number, divide by 2 and split as "n + 1 and n-1

AB side:  angles given: 8 +4=12 , 32-12 =20  20/2 = 10;  10+1 =11  10-1=9

CD side: angles given:  8 + 12 =20, 32-20=12; 12/2 =6  6+1 =7 6-1 =5

EF side: angles given:  4 + 12 =16 32-16=16  My formula would have yielded 7+9, but those numbers were already used. Conveniently, 10 + 6 are left over.   Same principle, but + or - 2.

Thanks for the opportunity to work in this!

It is a fun way for me to end my participation in Brainly for a while. My school year is over!

Good Luck, Stay Safe!

8 0
3 years ago
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