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2 years ago

What is the surface area of the figure shown?

Mathematics

1 answer:

natta225 [31]2 years ago

3 0

Answer:

The surface area of given figure = 264 cm²

Step-by-step explanation:

From the given figure we can see that, a square pyramid mounded on a cube

The side of cube = 6 cm

Base of pyramid is one face of cube.

Slant height of pyramid = 7 cm

Total surface area = (5 * one face of cube ) + (lateral surface area of pyramid)

<u>To find the total surface area</u>

lateral surface area of pyramid = 4 * one face area of pyramid

One face area of cube = side² = 6² = 36

One face area of pyramid = bh/2 = (6 * 7)/2 = 21 cm²

Lateral surface area of pyramid = 4 * 21 = 84 cm²

Surface area = (5 * 36) + (84) = 264 cm²

Therefore surface area of given figure = 264 cm²

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Strike441 [17]

Answer:

2π

Step-by-step explanation:

Area = πr^2

= π2^2

= 4π

4π is the area of the whole circle, so divide it in half to get the semicircle.

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2 years ago

Please help me with this question

san4es73 [151]

Step-by-step explanation:

Given: $f'(x) = x^2e^{2x^3}$ and $f(0) = 0$

We can solve for f(x) by writing

$\displaystyle f(x) = \int f'(x)dx=\int x^2e^{2x^3}dx$

Let $u = 2x^3$

$\:\:\:\:du=6x^2dx$

Then

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$\displaystyle \:\:\:\:\:\:\:=\frac{1}{6}e^{2x^3} + k$

We know that f(0) = 0 so we can find the value for k:

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Therefore,

$\displaystyle f(x) = \frac{1}{6} \left(e^{2x^3} - 1 \right)$

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2 years ago

Write an equation in slope intercept form that has a slope of -8 and a y-intercept of 12

vitfil [10]

Answer: -8x + 12

Step-by-step explanation:

12 will be y-intercept because it crosses the y-axis.

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2 years ago

Find the value of x. what is the relationship of these 2 angles? set up and solve an equation

tatiyna

Answer:

the relationship between these two angle is they r straight angle.

101+3x+4=180°
105+3x=180°
3x=180-105
x=75/3
x=25°

hope it helps

<h2>stay safe healthy and happy.</h2>

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2 years ago

Read 2 more answers

An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average birth weight was x = 119.6 ounc

Evgen [1.6K]

Answer:

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X}= \mu = 119.6$

And now for the deviation we have this:

$SE_{\bar X} = \frac{6.5}{\sqrt{25}}=1.3$

So then the correct answer for this caee would be:

c. 1.30 ounces.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X}= \mu = 119.6$

And now for the deviation we have this:

$SE_{\bar X} = \frac{6.5}{\sqrt{25}}=1.3$

So then the correct answer for this caee would be:

c. 1.30 ounces.

6 0

2 years ago