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dolphi86 [110]
2 years ago
10

Find the surface area of the composite figure.

Mathematics
1 answer:
Ksju [112]2 years ago
8 0
70 ......................................
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Select the correct answer. A triangle has vertices (-1, 2), (3, 1), and (7, 2). What is the approximate perimeter of th...
Eva8 [605]

Answer:

16.24 Units

Step-by-step explanation:

The perimeter of the triangle is the sum of the length of the sides of the triangle. Given the points on the vertices, the length of each side may be found using the formula

Length = √(x2 - x1)^2 + (y2 - y1)^2

Considering the pair (-1, 2), (3, 1), the length of that side

= √(3 -- 1)^2 + (1-2)^2)

= √(16 + 1)

= √17 units

Considering the pair (-1, 2), (7, 2), the length of that side

= √(7 -- 1)^2 + (2-2)^2)

= √(64)

= 8

Considering the pair  (3, 1),  and (7, 2), the length of that side

= √(7 - 3)^2 + (2  - 1)^2

= √(16 + 1)

= √17

Hence the perimeter of the triangle

= √17 + 8 + √17

= 4.12 + 8 + 4.12

= 16.24 Units

5 0
3 years ago
The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviati
Effectus [21]

Answer:

His jump was of 272.45 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 = 263, \sigma = 14

75th percentile

X when Z has a pvalue of 0.75. So X when Z = 0.675

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

0.675 = \frac{X - 263}{14}

X - 263 = 14*0.675

X = 272.45

His jump was of 272.45 inches

7 0
3 years ago
Read 2 more answers
Seven men and seven women line up at a checkout counter in a store. In how many ways can they line up if the first person in lin
luda_lava [24]

Answer:  The required number of ways is 25401600.

Step-by-step explanation:  Given that seven men and seven women line up at a checkout counter in a store.

We are to find the number of ways in which they can line up, if the first person in line is a man , and the people in line alternate man, woman, man, woman and so on.

Since the first person is a man, so

for first position, we have 7 options.

There are alternate man and women in the line, so the second person must be a women.

That is, we have 7 options for the second position.

Similarly, for 3rd and 4th positions, we have 6 options for each, and so on.

Therefore, the number of ways in which the 14 persons can line up is

n=7\times7\times6\times6\times5\times5\times4\times4\times3\times3\times2\times2\times1\times1=7!\times7!=5040\times5040=25401600.

Thus, the required number of ways is 25401600.

3 0
2 years ago
What does 3x+2x+4+2 equal
Reptile [31]

Answer:

5x + 6

Step-by-step explanation:

3X + 2X = 5X

4 + 2 = 6

5X + 6 IS SIMPLIST FORM

6 0
3 years ago
Read 2 more answers
Rafael is on his way home in his car. His drive is 22 miles long. He has finished one-half of the drive so far, how far has he d
Bogdan [553]

Answe

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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