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3 years ago

Determine the surface area of the shape below.

Mathematics

1 answer:

aev [14]3 years ago

5 0

Try this option:

1. the required surface area consists of: A=A₁+A₂+A₃, where

2. A₁=pi*r*l - the surface of the cone:

pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);

A₁=3.14*2*6.33=39.74 (cm²).

3. A₂=a²-pi*r² - the surface of the top plane:

A₂=36-3.14*4=23.43 (cm²).

4. A₃=5*a² - the surface of the five planes of the given cube:

A₃=5*6²=180 (cm²).

5. the required area:

A=39.74+23.43+180=243.17 (cm²).

Answer: 243.17

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Y= 4x + 2 where the domain is the set of all of the positive even numbers less than 10.

inysia [295]

The range of the function y = 4x + 2 where the domain is the set of all of

the positive even numbers less than 10 is {10, 18, 26, 34}

The given equation is:

y = 4x + 2

The domain is the set of all of the positive even numbers less than 10.

That is, x = {2, 4, 6 ,8}

To get the range, find the values of y for x = 2, 4, 6, and 8

For x = 2:

y = 4(2) + 2

y = 8 + 2

y = 10

For x = 4:

y = 4(4) + 2

y = 16 + 2

y = 18

For x = 6:

y = 4(6) + 2

y = 24 + 2

y = 26

For x = 8:

y = 4(8) + 2

y = 32 + 2

y = 34

Therefore, the range = {10, 18, 26, 34}

Learn more here: brainly.com/question/18479953

5 0

3 years ago

A graduate school entrance exam has scores that are normally distributed with a mean of 560 and a standard deviation of 90. What

9966 [12]

26.8% of examinees will score between 600 and 700.

This question is based on z score concept.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

$z={x-\mu \over \sigma }$

where:

μ is the mean

σ is the standard deviation of the population

Given:

μ = 560

σ = 90

For

600≤ X≤700

for x = 700

Z score =x - μ/σ

=(700 - 560)/90

= 1.55556

P-value from Z-Table:

P(560<x<700) = P(x<700) - 0.5 = 0.44009

for x = 600

Z score =x - μ/σ

=(600 - 560)/90

= 0.44444

P-value from Z-Table:

P(560<x<600) = P(x<600) - 0.5 = 0.17164

∴ P(600<x<700) = P(560<x<700) - P(560<x<600)

= 0.44009 - 0.17164

=0.26845

∴26.8% percentage of examinees will score between 600 and 700.

Learn more about Z score here :

brainly.com/question/15016913

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4 0

2 years ago

Which polynomial is equivalent to 8x3+12x/2x when x≠0?

ANTONII [103]

Answer: look at the picture

Step-by-step explanation: Hope this help :D

6 0

3 years ago

Plz with steps .. it's very hard can anyone plz

liubo4ka [24]

Answer:

Step-by-step explanation:

$\displaystyle\ \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\frac{0}{0} \\\\we\ can \ use\ Hospital's\ Rule\\\\\\f(x)=\sqrt{2x}-\sqrt{3x-a} \qquad f'(x)=\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} \\\\g(x)=\sqrt{x} -\sqrt{a} \qquad g'(x)=\dfrac{1}{2\sqrt{x}} \\\\\\\displaystyle\ \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\lim_{n \to a} \dfrac{\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} }{\dfrac{1}{2\sqrt{x}} }\\\\$

$\displaystyle \lim_{n \to a} \dfrac{2\sqrt{x} }{\sqrt{2x}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}} =\lim_{n \to a} \dfrac{2 }{\sqrt{2}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3*\sqrt{a} }{\sqrt{2a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3}{\sqrt{2}}\\\\\\=-\ \dfrac{1}{\sqrt{2}}\\\\$

7 0

3 years ago

The sum of nine times a number and five is one hundred eighty-five

tangare [24]

Answer:

9 x (x +5) = 185

Step-by-step explanation:

I'm pretty sure this is how you write it

4 0

3 years ago

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