Which geometric principle is used to justify the construction below?

Which statements about the area of the faces of the rectangular prism are true? Select all that apply.

LenaWriter [7]

Answer: The front face has an area of 30 ft2. , The top face has an area of 40 ft2. ,

Step-by-step explanation: SOrry if im wrong

5 0

3 years ago

66 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is a s

Novay_Z [31]

Answer:

0.8397

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the cards are chosen is not important. Also, they are drawn without replacement. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

What is the probability that at least one of the cards drawn is a spade?

Either none is a spade, or at least one is a spade. The sum of the probabilities of these outcomes is 1.

The standard deck has 52 cards, of which 13 are spades. So

Probability that none are spades:

Desired outcomes:

6 cards from a set of 52 - 13 = 39. So

$D = C_{39,6} = \frac{39!}{6!33!} = 3262623$

Total outcomes:

6 cards from a set of 52. So

$T = C_{52,6} = \frac{52!}{6!46!} = 20358520$

Probability:

$p = \frac{D}{T} = \frac{3262623}{20358520} = 0.1603$

Probability that at least one is a spade:

1 - 0.1603 = 0.8397

The answer is 0.8397

8 0

4 years ago

ILL GIVE BRAINLIEST TO WHOEVER ANSWERS AND EXPLAINS!! HELP QUICK!

ivolga24 [154]

Answer:

4 or 8

Step-by-step explanation:

6 0

3 years ago

Find the value of N please!!

V125BC [204]

Answer:

n = - 5

Step-by-step explanation:

Using the rules of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

$\frac{a^{m} }{a^{n} }$ ⇔ $a^{(m-n)}$

Consider the left side

$\frac{y^4.y^{n} }{y^2}$

= $\frac{y^{4+n} }{y^2}$

= $y^{4+n-2}$

= $y^{2+n}$ , then

$y^{2+n}$ = $y^{-3}$

Since the bases on both sides are the same, equate the exponents

2 + n = - 3 ( subtract 2 from both sides )

n = - 5

6 0

3 years ago

Read 2 more answers

Here we go again lol I’m a failure and a disappointment according to my mom yayy

Nostrana [21]

Hello! Your answer is y = -7/3x + 2.

----

First, find the slope of the original line. The slope can be calculated by $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ . Substitute in the points, and you get:

$\frac{3-(-3)}{13-(-1)}$

$\frac{6}{14}$

$\frac{3}{7}$

So now we get: slope = 3/7. We do not need the full equation of the first line, as a perpendicular line only requires the slope.

----

Perpendicular lines all have a slope that is a negative reciprocal of another. For example, if one line's slope was 1/4, the line perpendicular to it would have a slope of -4.

The negative reciprocal of 3/7 is -7/3. Therefore, we know the slope of the line that we are looking for is -7/3. We can substitute this into y = mx + b.

y = -7/3x + b

Now, we are given a coordinate point. Substitute that in and solve.

-5 = -7/3 * 3 + b

-5 = -7 + b

b = 2

----

Therefore, the final equation we are looking for is y = -7/3x + 2.

Hope this helps!

4 0

3 years ago