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lys-0071 [83]
3 years ago
12

The polygons are similar. The area of one polygon is given. Find the area of the other polygon.

Mathematics
1 answer:
kap26 [50]3 years ago
4 0

Answer:

90 cm²

Step-by-step explanation:

Given that both triangles are similar, it follows that the ratio of their area equals the square of their corresponding sides.

Let the area of the other triangle be x. Therefore:

\frac{10}{x} = \frac{4^2}{12^2}

\frac{10}{x} = \frac{16}{144}

Cross multiply

10*144 = 16*x

1440 = 16x

Divide both sides by 16

90 = x

Area of the other polygon = 90 cm²

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How much will you need to save to purchase a $100 item in a state with a 6.5% tax rate?
Masteriza [31]

Answer:

$93.89

Step-by-step explanation:

Work backwards -> 1.065x=100

x=$93.89

7 0
2 years ago
Read 2 more answers
When Aria commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 28 minutes and a st
MrRa [10]

Answer:

Her commute would be between 32 and 35 minutes 33 times.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 28, \sigma = 4.5

Proportion of days in which the commute is between 32 and 35 minutes:

This is the pvalue of Z when X = 35 subtracted by the pvalue of Z when X = 32.

X = 35

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

Z = \frac{35 - 28}{4.5}

Z = 1.555

Z = 1.555 has a pvalue of 0.94.

X = 32

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

Z = \frac{32 - 28}{4.5}

Z = 0.89

Z = 0.89 has a pvalue of 0.8133.

0.94 - 0.8133 = 0.1267

Out of 262 days:

Each day, 0.1267 probability

0.1267*262 = 33

Her commute would be between 32 and 35 minutes 33 times.

6 0
3 years ago
GCF of 8x^8 and 28x^4
hichkok12 [17]
8x^8=2*2*2*x*x*x*x*x*x*x*x
28x^4=2*2*7*x*x*x*x

GCF is the common group
GCF=2*2*x*x*x*x
GCF=4x^4
8 0
3 years ago
Robert drove at an average speed of 60 miles per hour for 6 hours. Nancy drove for 7 hours at an average speed of 56 miles per h
g100num [7]
A)1. 60/6=10
2. 56/7=8
3. 10-8=2

B)1.10
2.8
3.10+8=18

C)1. 360
2.392
3. 360+392=752

D)1. 360
2. 392
3. 360-392=-32
8 0
3 years ago
Please help fast, thanks !
Maslowich

Answer:

a) 0.8

b) 0.3

c) 0.9

d) 0.95

Step-by-step explanation:

A probability always adds up to 1. It is between the scale of 0 (never likely) to 1 (very likely).

So:

1 - 0.2 = 0.8

1 - 0.7 = 0.3

1 - 0.1 = 0.9

1 - 0.05 = 0.95

Hope this helped!

8 0
2 years ago
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