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balu736 [363]
3 years ago
11

According to Cavalieri’s Principle, if a cone and a pyramid have the same height, which of the following answer choices is true?

Question 3 options: They have equal volumes. They have equal surface areas. They have equal volumes if their bases have equal areas. They have equal surface areas if their bases have equal areas.
Mathematics
1 answer:
Elodia [21]3 years ago
4 0

Answer:

brainly.com/question/2855114

answers the same question, I had the same question as well.

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Sara wanted to gather data about the cost of local gyms in her area. She plotted the data and determined that the average gym co
Juli2301 [7.4K]

Answer:

y-intercept is 30

Step-by-step explanation:

Given the model  y = 10x + 30. comparing this model to the equation of a straight lines  we can get the y- intercept

y = 10x + 30\\\y= mx+c

The y- intercept is 30 which is the constant factor and it describes to us about the one-time registration fee of $30.

5 0
3 years ago
Factor completely x^3 + 1/8
maksim [4K]

Answer:

((2 x + 1) (4 x^2 - 2 x + 1))/8

Step-by-step explanation:

Factor the following:

x^3 + 1/8

Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:

(8 x^3)/8 + 1/8

(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:

(8 x^3 + 1)/8

8 x^3 + 1 = (2 x)^3 + 1^3:

((2 x)^3 + 1^3)/8

Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):

((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8

1^2 = 1:

((2 x + 1) ((2 x)^2 - 2 x + 1))/8

Multiply each exponent in 2 x by 2:

((2 x + 1) (2^2 x^2 - 2 x + 1))/8

2^2 = 4:

Answer:  ((2 x + 1) (4 x^2 - 2 x + 1))/8

5 0
3 years ago
Read 2 more answers
Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.
leonid [27]

<u>Answer-</u>

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

12x-5y+14=0 \\ 12x-5y-14=0

<u>Solution-</u>

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

\Rightarrow \left | \frac{12h-5k-1}{\sqrt{12^2+5^2}} \right |=1

\Rightarrow \left | \frac{12h-5k-1}{\sqrt{169}} \right |=1

\Rightarrow \left | \frac{12h-5k-1}{13} \right |=1

\Rightarrow 12h-5k-1=\pm 13

\Rightarrow 12h-5k=\pm 14

\Rightarrow 12h-5k=14,\ 12h-5k=-14

\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0

\Rightarrow 12x-5y-14=0,\ 12x-5y+14=0

Two equations are formed because one will be upper from the the given line and other will be below it.

4 0
3 years ago
Find the area of the composite figure.
Umnica [9.8K]

Answer:

7168

Step-by-step explanation:

5 0
3 years ago
Help me please!!!! I will mark Brainliest
ryzh [129]

Answer:

32 pi

Step-by-step explanation:

im sorry if im wrong im not the smartest haha

8 0
3 years ago
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