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tigry1 [53]
3 years ago
7

The triangles are similar, find the length of the unknown side. Round your answers to the nearest tenth (0.1), if necessary.

Mathematics
1 answer:
Doss [256]3 years ago
7 0

Answer:

22

Step-by-step explanation:

Similar shapes must have corresponding sides in a constant proportion. Therefore, we can set up the following equation and solve for ?:

\frac{28}{42}=\frac{?}{33} (divide corresponding sides)

\frac{28}{42}=\frac{?}{33},\\\\?=\frac{28\cdot 33}{42}=\boxed{22}

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Solve for x I’m the equation x^2 + 4x + 17 = -96
Pepsi [2]
X=2.12602916
By solving
7 0
3 years ago
60% of a number is 567. what is 50% of the number
lozanna [386]

Answer:

945

Step-by-step explanation:

5 0
3 years ago
Which ordered pairs are solutions to the inequality 2x-y>-4
Rasek [7]

Answer:

well these are all the possible solutions that make the inequality statement correct.

Step-by-step explanation:

you can recheck by placing the pairs into the equation

hope that helps

8 0
3 years ago
The heights (measured in inches) of men aged 20 to 29 follow approximately the normal distribution with mean 69.3 and standard d
Zolol [24]

Answer:

The middle 92% of all heights fall between 64.4 inches and 74.2 inches.

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 = 69.3, \sigma = 2.8

Between what two values does that middle 92% of all heights fall?

The middle 92% falls from X when Z has a pvalue of 0.5 - 0.92/2 = 0.04 to X when Z has a pvalue of 0.5 + 0.92/2 = 0.96. So from the 4th percentile to the 96th percentile.

4th percentile

X when Z = -1.75

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

-1.75 = \frac{X - 69.3}{2.8}

X - 69.3 = -1.75*2.8

X = 64.4

96th percentile

X when Z = 1.75

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

1.75 = \frac{X - 69.3}{2.8}

X - 69.3 = 1.75*2.8

X = 74.2

The middle 92% of all heights fall between 64.4 inches and 74.2 inches.

6 0
3 years ago
If per unit variable cost of a product is Rs.8 and fixed cost is Rs 5000 and it is sold for Rs 15 per unit, profit in 1000 units
ExtremeBDS [4]

Answer:

a.. rs 7000

Because 15×1000=15000 it is SP when selling 1000units in the rate of Rs 15/unit& 8×1000=8000 this is cp when buying 1000 units in the rate of Rs 8/unit.

So,by formula of profit,

Rs (15000-8000)=Rs7000

6 0
3 years ago
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