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almond37 [142]
3 years ago
10

Given the radius of a cone is 4 cm and its volume is 134 square cm, which of the following is closest to its height?

Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

Answer:

7.99

Step-by-step explanation:

Volume of cone =  V=πr^2h/3

134 = π*4^2*x/3

x = 7.99

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Solve the inequality and express your answer in interval notation. X^2-6x+7<0
kakasveta [241]

Answer:

15

Step-by-step explanation:

2×6=8

8+7 =15

2+7 =9

9

8 0
3 years ago
Solve this system of equations: y = x2 – 3x + 12 y = –2x + 14 4. Substitute the values of x, –1 and 2, into either original equa
SOVA2 [1]

One solution is (–1, <span> ⇒ 16</span>).

The second solution (2, <span> ⇒ 10</span>). your welcome 

4 0
3 years ago
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What is the simplest form of ^4sqrt324x^6y^8
svetlana [45]

\rm{\green{Answer \: is:-}}

3xy \sqrt[24]{ {4x}^{2} }(3xy^2 4 sqrt 4x^2)

Step-by-step explanation:

<h3>Hope it's helpful to you</h3>
3 0
2 years ago
The cost to produce a product is modeled by the function f(x) = 5x2 − 70x 258, where x is the number of products produced. compl
ad-work [718]

The minimum cost to produce the product is $7.

What are functions?

  • A function from a set X to a set Y allocates exactly one element of Y to each element of X.

To determine the minimum cost:

We have to determine the minimum cost of producing this product.

Since f(x) = 5x^{2} -70x+258.

Now, consider the equation 5x^{2} -70x+258= 0.

Dividing the above equation by 5, we get

x^{2} -70x/5+258/5=0\\x^{2} -14x+258/5=0

Now, considering the coefficient of 'x', dividing it by '2' and then adding and subtracting the square of the number which we got after dividing.

Since the coefficient of 'x' is 14, and half of 14 is '7'.

So, adding and subtracting from the above equation.

x^{2} -14x+(7)^{2} -(7)^{2}+258/5=0\\x^{2} -14x+49 -49+258/5=0\\(x-7)^{2} -49+258/5=0\\(x-7)^{2} +258-245/5=0\\(x-7)^{2} +13/5=0\\5(x-7)^{2} +13=0

Now, we have to determine the minimum cost to produce the product.

Since f(x) = 5x^{2} -70x+258.

f'(x) = 10x-70

Now, let f'(x)=0

10x-70=0\\10x=70

Therefore, x=7

Now, consider which is greater than 0.

Therefore, x= 7 is the minimum cost.

Know more about functions here:

brainly.com/question/25638609

#SPJ4

5 0
1 year ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%7B25-10%5Csqrt%7B3%7D%2B3%20%7D" id="TexFormula1" title="\sqrt{25-10\sqrt{3}+3 }" alt=
Varvara68 [4.7K]
Here is your answer: )

6 0
2 years ago
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