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a_sh-v [17]
3 years ago
9

1. The heights of two right prisms

Mathematics
1 answer:
RoseWind [281]3 years ago
3 0

Answer:

They are not similar

Step-by-step explanation:

To determine whether the prism are similar we need to calculate their volumes

Volume of a prism = Base Area * Height

Volume of the first prism = 18ft *8 * 8ft

Volume of the first prism = 1152ft^2

Volume of the second prism = 30t * 15 * 15ft

Volume of the second prism = 6,750ft^2

Since the volumes are different, the prism are not similar.

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I'm in algebra please help and explain with work
lidiya [134]
2x+4y=0
3x+y=10
So what we want to do is get y onto one side by itself using whatever equation you like.
So I'm taking 2x+4y=0 and subtracting 4y from both sides
So we end up with
2x=4y
Divide both sides by four
2/4x is 1/2 x
So we get 1/2x=y
Take this and plug it into the other equation
3x+y=10
3x+1/2x=10
Add your like terms
3 1/2x=10
Putting 3 1/2 as a mixed number we get 7/2
So..
7/2x=10
Multiply by the opposite of 7/2 on both sides
Which is 2/7 this will cancel out the left side.
So we end up with
X= 10•2/7
X=20/7
Which is 2 and 6/7 as a mixed number.

5 0
3 years ago
Most college-bound students take either the SAT(Scholastic Assessment Test) or the ACT (which originally stood for American coll
Jlenok [28]

Answer:

Luis would need to have a SAT score of 574.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Nicole's z-score:

ACT scores have a mean of about 21 with a standard deviation of about 5, which means that \mu = 21, \sigma = 5

Nicole gets a score of 24, which means that X = 24. Her z-score is:

Z = \frac{X - \mu}{\sigma}

Z = \frac{24 - 21}{5}

Z = 0.6

What score would Luis have to have on the SAT to have the same standardized score(z-score) as Nicole's standardized score on the ACT?

Luis would have to get a score with a z-score of 0.6, that is, X when Z = 0.6.

SAT scores have a mean of about 508 with a standard deviation of about 110, which means that \mu = 508, \sigma = 110.

The score is:

Z = \frac{X - \mu}{\sigma}

0.6 = \frac{X - 508}{110}

X - 508 = 0.6*110

X = 574

Luis would need to have a SAT score of 574.

8 0
3 years ago
What are the x- and y-intercepts of the rainbow? Explain what each intercept represents ( parabola y=-x2+36
KengaRu [80]

Answer:

Step-by-step explanation:

y=-x^{2} +36

can be factored out as (-x-6)(x-6)

x-intercepts are: +6 and -6

represents the two ends of the rainbow

y-intercept: y=36

represents the highest point of the rainbow

4 0
2 years ago
Circumference (Level 2)<br> Need help with this.
goblinko [34]
.25 meters is the answer
6 0
2 years ago
Read 2 more answers
Len has 3 strips of construction paper. Each strip is the same size and a different color-red, yellow, and pink. He tapes the st
Helen [10]

Answer:

2/6

Step-by-step explanation:

Each of the rectangle strips are taped together to form a rectangle. Therefore 1 of the third of the rectangle would be red, this means that 1/3 of the rectangle would be red color. The rectangle is then divide into sixths, this can be achieved by dividing each of the taped strip into 2.

Therefore 2 of the sixths rectangle would be red in color, Hence the fraction of the rectangle that would be red is given as 2/6

7 0
3 years ago
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