The rectangular prism shown is formed by six intersecting planes.Where do the planes ABFE and EFGH intersect

Answers

Answer 1

Answer:

The planes ABFE and EFGH intersected by line EF.

What is Prism?

A prism is a polyhedron in geometry made up of an n-sidedpolygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.

We have cuboidal prism which have faces ABFE and EFGH.

To find the point for intersecting we have to find a point or line which is common in both planes.

Here the point E and F are common.

But the plane EF is also common

Thus, the intersecting line is line EF.

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Answer 2

Answer:

Answer:

Line EF

Step-by-step explanation:

Planes intersect at lines

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What is the area in square units of the figure shown below??help asap!don't share links or anything pleasee

Answers

Answer:

area equals 36 and 3 fourths because if you cut the triangle off of one of the sides and add it to the other side it makes a rectangle then you do length times width to find regular area of a rectangle.

Answer the question in the picture

Answers

Recall the angle sum identities:

$\sin(x+y)=\sin x\cos y+\cos x\sin y$

$\cos(x+y)=\cos x\cos y-\sin x\sin y$

Now,

$\tan(x+y)=(\sin(x+y))/(\cos(x+y))=(\sin x\cos y+\cos x\sin y)/(\cos x\cos y-\sin x\sin y)$

Divide through numerator and denominator by $\cos x\cos y$ to get

$\tan(x+y)=(\tan x+\tan y)/(1-\tan x\tan y)$

Next, we use the fact that $x,y$ lie in the first quadrant to determine that

$\sin x=\frac12\implies\cos x=√(1-\sin^2x)=\frac{\sqrt3}2$

$\cos y=\frac{\sqrt2}2\implies\sin x=√(1-\cos^2x)=\frac1{\sqrt2}$

So we then have

$\tan x=(\sin x)/(\cos x)=\frac{\frac12}{\frac{\sqrt3}2}=\frac1{\sqrt3}$

$\tan y=(\sin y)/(\cos y)=\frac{\frac1{\sqrt2}}{\frac{\sqrt2}2}=1$

Finally,

$\tan(x+y)=\frac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=(1+\sqrt3)/(\sqrt3-1)=2+\sqrt3\approx3.73$

For f(x) = 0.01(2)x, find the average rate of change from x = 2 to x = 10.Select one:
a. 1.275
b. 8
c. 10.2
d. 10.24

Answers

Answer:

1.275

Explanation:

The given equation is:

f(x) = 0.01(2)ˣ

We want to find the rate of change from 2 to 10 which means that we need to find the slope from 2 to 10.

We start by getting the y-values for each of the given x-values:

at x = 2 ..........> y = 0.01(2)² = 0.04 ...........> point is (2, 0.04)

at x = 10 .........> y = 0.01(2)¹⁰ = 10.24 .........> point is (10, 10.24)

Now, we get the slope as follows:

slope = $(y_(2)-y_(1))/(x_(2)-x_(1)) = (10.24-0.04)/(10-2) =(10.2)/(8) =1.275$

Hope this helps :)

Answer: a. 1.275

Step-by-step explanation:

Let f(x) be any function.

Then the average rate of change from x= a to x= b is given by :-

$k=(f(b)-f(a))/(b-a)$

The given function : $f(x) = 0.01(2)^x$

Then, the average rate of change from x = 2 to x = 10 will be :-

$k=(f(10)-f(2))/(10-2)$

$=(0.01(2)^(10)-0.01(2)^(2))/(8)\n\n=(0.01(1024)-0.01(4))/(2)\n\n=(10.24-0.04)/(2)\n\n=(10.20)/(8)=1.275$

Hence, the average rate of change from x = 2 to x = 10 is 1.275.

A sample of n = 100 scores is selected from a population with mu = 80 with sigma= 20. On average, how much error is expected between the sample mean and the population mean?

Answers

Step-by-step explanation:

s = σ / √n

s = 20 / √100

s = 2

Final answer:

Using the formula for standard error, we calculate the expected error between the sample mean and the population mean in the scenario provided. The answer is 2.

Explanation:

The standard error of the mean (SEM) can be calculated using the formula SEM = sigma/ sqrt(n), where 'sigma' is the standard deviation of the population and 'n' is the sample size. In this case, sigma (σ) is 20 and the sample size (n) is 100. So, SEM = 20/sqrt(100) = 20/10 = 2.

The standard error quantifies the average amount of error between the sample mean and the population mean. Therefore, one can expect, on average, a 2 score difference between the sample mean and the population mean.

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MAFS.5.NF.2.5b4. Valeria is going to the grocery store to buy turkey
and ham to use for sandwiches this week. She buys
4
2
as much ham as turkey. Which of
7
3
the following statements is true?
1 turkey and 12 /
A. She is buying more turkey than ham.
B. She is buying the same amount of turkey and ham.
C. She is buying twice as much turkey as ham.
D. She is buying less turkey than ham.
Cuál es la repuesta? Hola

Answers

Answer:

Step-by-step explanation:

See attachment.

Which expression represents the phrase " the difference of 18 and 12"?

Answers

Given:

The statement is "the difference of 18 and 12".

To find:

The expression for the given statement.

Solution:

We have,

Given statement = The difference of 18 and 12.

We use subtraction, to find the different between two numbers and subtraction is represented by negative sign. So, we need to subtract second number form the first number.

The difference of 18 and 12 = 18 - 12

Therefore, the required expression for the given statement is 18-12.