All categories

2 years ago

What is the area of the two-dimensional cross section that is parallel to face ABC ?

Mathematics

2 answers:

Afina-wow [57]2 years ago

8 0

The two triangle faces are congruent, so the missing side length on the top triangle is 24ft.
Area of a triangle = bh/2
7*24/2=84ft
Area = 84ft

QveST [7]2 years ago

3 0

Answer:

The area of the two-dimensional cross section that is parallel to face ABC. that is Area of Δ DEF = 84 ft²

Step-by-step explanation:

Given : A triangular prism with some side measurement.

We have to find the area of the two-dimensional cross section that is parallel to face ABC.

Since, the cross section that is parallel to face ABC.

Since, face parallel to ABC is DEF .

And DEF is a triangle with ∠ E = 90°

So, Area of right angled triangle $=\frac{1}{2} \times base \times height$

Base = 24 ft

and height is 7 ft

So, Area of Δ DEF = $\frac{1}{2} \times 24 \times 7$

Simplify , we have,

Area of Δ DEF = 84 ft²

Thus, The area of the two-dimensional cross section that is parallel to face ABC. that is Area of Δ DEF = 84 ft²

You might be interested in

6.Suppose the Gallup Organization wants to estimate the population proportion of those who think there should be a law that woul

drek231 [11]

Answer:

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that $n = 1012, \pi = \frac{374}{1012} = 0.3696$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}$

$E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}$

$\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

$n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

4 0

2 years ago

An angle measures 36° more than the measure of a complementary angle. what is the measure of each angle?

nexus9112 [7]

An acite becaues it lowers than the others

6 0

3 years ago

PLS SOMEONE HELP ME PLS WITH GEOMETRY

nikklg [1K]

Answer:

They are congruent by SAS

Step-by-step explanation:

MQ=PN

The angles with markings also go together

The line right in the middle is the second side because of the reflexive property

6 0

1 year ago

How to draw a shape representing the cross-section of the cone shown such that the slice is perpendicular to the base through th

Alex17521 [72]

I don't get what you mean can u pleez give me information what i have to do

3 0

3 years ago

Given the following statements, what conclusion can be drawn using the law of syllogism?

Umnica [9.8K]

Answer:

C) If the area of a square is an odd perfect square, the perimeter of the square will be even.

Step-by-step explanation:

Just did it on edge.

8 0

2 years ago

Read 2 more answers