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Licemer1 [7]
3 years ago
6

Which transformation of the red triangle on the graph maps it onto the missing piece of the square? A. a translation 16 units ri

ght
B. a reflection across the y-axis

C. a 90° counterclockwise rotation about the origin

D. a 90° clockwise rotation about the origin

E. a 180° rotation about the origin

Mathematics
2 answers:
OLga [1]3 years ago
8 0
90 clockwise rotation.
slamgirl [31]3 years ago
6 0

Answer:

D.) A 90 degree clockwise rotation about the origin

Step-by-step explanation:

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The pentagonal area is 20 cm square. Point A located in the pentagon and equidistant from all sides of the pentagon about 5 cm.
Maurinko [17]

Answer:

  about 8 cm

Step-by-step explanation:

The formula for the area of a regular polygon is ...

  A = 1/2Pa . . . . where P is the perimeter and "a" is the apothem, the distance from the center to a side

Filling in your numbers, we have ...

  20 cm^2 = (1/2)P(5 cm)

Dividing by the coefficient of P, we find ...

  2×(20 cm^2)/(5 cm) = P = 8 cm

The perimeter of the pentagon is about 8 cm.

_____

<em>Comment on the problem</em>

This calculation makes use of the area formula, as apparently intended. A regular pentagon with an apothem of about 5 cm will have an area of about 90.8 cm^2. The given geometry is impossible, as the pentagon is nearly 10 cm across. It cannot have a perimeter of only 8 cm.

5 0
3 years ago
Which answer choice is correct
maria [59]

Answer: c

Step-by-step explanation:

8 0
3 years ago
When Elena throws a shot put during track and field practice, it travels an average of 26 feet with a standard deviation of 3 fe
alexgriva [62]

Answer:

15.87%, that is, approxiately 16% of of her shots will travel less than 23 feet.

Step-by-step explanation:

Problems of normally distributed samples can be 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 question, we have that:

\mu = 26, \sigma = 3

Approximately what percentage of her shots will travel less than 23 feet?

This is the pvalue of Z when X = 23. So

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

Z = \frac{23 - 26}{3}

Z = -1

Z = -1 has a pvalue of 0.1587.

15.87%, that is, approxiately 16% of of her shots will travel less than 23 feet.

5 0
4 years ago
Which number is divisible by 3? (A) 743 (B) 5325 (C) 205, 633 or (D) 17,231
emmasim [6.3K]
The answer is 5325

5325/3=1775
5 0
3 years ago
Skye is buying presents for members of her family. She wants to spend $10 less on her brother than she spends on her sister, and
deff fn [24]
I dont know if this will be correct but i think she is gonna spend about 92 or 93 dollars on her mother
7 0
4 years ago
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