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4 years ago

In space, the intersection of a line and a plane is

Mathematics

1 answer:

vredina [299]4 years ago

5 0

I believe the answer is A) Not possible not sure

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Is the ans i got correct?<br>the total surface area is 33.8cm² <br>

ElenaW [278]

Given:

A prism with height 5 cm and equilateral triangular base with side 2 cm.

To find:

The total surface area of the prism.

Solution:

Area of an equilateral triangle is:

$A_1=\dfrac{\sqrt{3}}{4}a^2$

Where, a is the side length.

Putting $a=2$ , we get

$A_1=\dfrac{\sqrt{3}}{4}(2)^2$

$A_1=\dfrac{\sqrt{3}}{4}(4)$

$A_1=\sqrt{3}$

$A_1\approx \sqrt{3}$

The base and top of the prism are congruent so their area must be equal.

The lateral surface area of the prism is:

$LA=Ph$

Where, P is the perimeter of the base and h is the height of the prism.

The lateral surface area of the prism is:

$A_2=(2+2+2)5$

$A_2=(6)5$

$A_2=30$

Now, the total surface area is the sum of areas of bases and lateral surface area.

$A=2A_1+A_2$

$A=2(1.73)+30$

$A=3.46+30$

$A=33.46$

Therefore, the total surface area is 33.46 cm².

8 0

3 years ago

Please help me answer this

lys-0071 [83]

No when you subtract the 2 balances, there is a difference of 33.34. 1201.1-38.34=1162.76

8 0

4 years ago

What are you doing for math

Fed [463]

algebra.............

7 0

3 years ago

Read 2 more answers

Heellppppppp pLLSsssssssssss

Nonamiya [84]

It is b I'm pretty sure

3 0

4 years ago

Read 2 more answers

The probability that a new car battery functions for more than 10,000 miles is .8, the probability that it functions for more th

MAXImum [283]

Answer:

There is a 50% probability that its total life will exceed 20,000 miles.

Step-by-step explanation:

To solve this question, we use the following formula:

$P(A|B) = \frac{P(A \cap B)}{P(B)}$

In which P(A|B) is the probability of A happening, given that B has happened, $P(A \cap B)$ is the probability of A and B happening, and P(B) is the probability of B happening.

In this problem, we want:

The probability of the total life of the car battery exceeding 20,000 miles, given that it exceeded 10,000 miles.

$P(A \cap B)$ is the probability of exceeding 20,000 and 10,000 miles. It is the same as the probability of exceeding 20,000 miles(If it exceeded 20,000 miles, necessarily it will have exceeded 10,000 miles). So $P(A \cap B) = 0.4$

P(B) is the probability of exceeding 10,000 miles. So $P(B) = 0.8)$

$P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{0.4}{0.8} = 0.5$

There is a 50% probability that its total life will exceed 20,000 miles.

6 0

3 years ago