All categories

3 years ago

Find the scale factor of a cube with volume 729 ft3 to a cube with volume 2197 ft3

2 answers:

8 0

To determine the scale factor, we first get the cube roots of the volumes of the cubes.
(Cube 1) = 729^(1/3) = 9
(Cube 2) = 2197^(1/3) = 13
Therefore, the scale factor of these similar polygons is 9:13.

LenaWriter [7]3 years ago

7 0

Scale factor = (2197-729)/729===)Sale factor = 2.014

You might be interested in

I keep getting kicked off of Brainly when other tutors go to try and answer this question.

Ilya [14]

Answer

(C) 15

Explanation

The given equation that represents the number of bags of sand (x) and bags of mulch (y) that can be bought with $105 is

$3x+7y=105$

If no bags of sand are bought, therefore x = 0

Then the number of bags of mulch that can be bought with $105 will be

$\begin{gathered} 3(0)+7y=105 \\ \\ 0+7y=105 \\ \\ 7y=105 \\ \\ y=\frac{105}{7} \\ \\ y=15 \end{gathered}$

8 0

1 year ago

The probability that an international flight leaving the United States is delayed in departing (event D) is .29. The probability

Blizzard [7]

Answer:

$P(D|P)= \frac{0.11}{0.59}=0.186$

Step-by-step explanation:

For this case we have defined the following events:

D= "An international flight leaving the United States is delayed in departing"

P="An international flight leaving the United States is a transpacific flight "

And we have defined the probabilities:

$P(D)= 0.29 , P(P) = 0.59$

And for the event: "an international flight leaving the U.S. is a transpacific flight and is delayed in departing" $D \cap P$ we know the probability:

$P(D \cap P) =0.11$

We want to find this probability:

What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight

So we want this probability:

$P(D|P)$

And we can use the conditional formula from the Bayes theorem given two events A and B:

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

And if we use this formula for our case we have:

$P(D|P)= \frac{P(D \cap P)}{P(P)}$

And if we replace the values we got:

$P(D|P)= \frac{0.11}{0.59}=0.186$

6 0

3 years ago

Which equation represents the graph

Sindrei [870]

Answer:

y= 3|x|+5

Step-by-step explanation:

Remember the graph for |x| is shown on the attached picture

Since the picture you show tell us that y=5 when x=0

we have something like the following y=a|x|+5, where 'a' is a constant that represents the slope of the line (whether is the line from one side of the 'y' axis or from the other), we can see that, when x=1, y=8, so we have another point

we can use the equation for slopes using points 1 (0,5) and 2 (1,8)

thus we have that $a=\frac{8-5}{1-0}=3$