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3 years ago

A cone has a diameter of 4 cm and a height of 11 cm. What is the volume 1 point

Mathematics

1 answer:

anzhelika [568]3 years ago

4 0

Answer: 46.05

Step-by-step explanation:

1/3 * 3.14 * 4 * 11 = 46.05 (rounded to the tenth)

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Use the picture below to find the length of x. Round your answer to the nearest hundredth.

valentinak56 [21]

Answer: 6.71

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Work Shown:

The longest horizontal portion of length 6 breaks up into two equal pieces of length 3 each. Focus on the smaller right triangle on the right hand side. This right triangle has legs of 3 and 6. The hypotenuse is x.

Use the pythagorean theorem with a = 3, b = 6, c = x to find the value of x

a^2 + b^2 = c^2

3^2 + 6^2 = x^2

9 + 36 = x^2

45 = x^2

x^2 = 45

x = sqrt(45)

x = 6.7082039

x = 6.71

4 0

3 years ago

Find the value of x that make it true

lesantik [10]

Answer:

Step-by-step explanation:

1). 10 = $\frac{1+7x}{7+x}$

10(7 + x) = 1 + 7x

70 + 10x = 7x + 1

10x - 7x = 1 - 70

3x = -69

x = -23

2). 0.2 = $\frac{6+2x}{12+x}$

0.2(12 + x) = 6 + 2x

2.4 + 0.2x = 6 + 2x

2.4 - 6 = 2x - 0.2x

1.8x = -3.6

x = -2

3). 0.8 = $\frac{x}{x+0.5}$

0.8(x + 0.5) = x

0.8x + 0.4 = x

x - 0.8x = 0.4

0.2x = 0.4

x = 2

4). 3.5 = $\frac{4+2x}{0.5-x}$

3.5(0.5 - x) = 4 + 2x

1.75 - 3.5x = 4 + 2x

-3.5x - 2x = 4 - 1.75

-5.5x = 2.25

x = - $\frac{2.25}{5.5}$

x = - $\frac{9}{22}$

6 0

2 years ago

Xˆ8 ÷ xˆ2 fully factorised

Ksivusya [100]

Answer:

Step-by-step explanation:

x^8/x^2= $x^{8-2}$ = x^6

when you divide same base and different powers, you subtract the powers

3 0

3 years ago

Read 2 more answers

Which of the following accurately shows the range of the function defined below?

il63 [147K]

Answer: The answer is (b) (2, ∞)

Step-by-step explanation: We are given a function f(x) in the figure and we are to select out of the given options that accurately shows the range of the function defined.

$\textup{For }x < 0, \textup{we have}~f(x)=3.$

$\textup{For }0\leq x$

$\textup{For }x\geq 2,\textup{ we have }f(x)=\dfrac{1}{2}x+5\geq 5.$

Therefore, the range of the function f(x) will be greater then or equal to 2. So, the range will be [2, ∞).

Thus, the correct option is (b) (2, ∞).

7 0

3 years ago

Read 2 more answers

Learning the basics 6.23 suppose you select one value from a uniform distribution with a=0and b=10.what is the probability that

IgorC [24]

The area under the graph of the continuous uniform distribution is 1.
a. The probability that the value will be between 5 and 7 is the area between 5 and 7.
$P(5 \ \textless \ x \ \textless \ 7) = \frac{2}{10} = \frac{1}{5}$
b. The probability that the value will be between 2 and 3 is the are between 2 and 3.
$P(2 \ \textless \ x \ \textless \ 3)=\frac{1}{10}$
c. The mean is given by:
$\mu=\frac{a+b}{2}=\frac{0+10}{2}=5$
d. The variance is given by:
$\sigma^2}=\frac{1}{12}(b-a)^{2}=\frac{1}{12}(10)^{2}=8.3333$
The standard deviation is:
$\sqrt{\sigma} = \sqrt{8.3333} =2.887$

5 0

3 years ago