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antiseptic1488 [7]
3 years ago
9

If you drew the image of this figure under a 90\circ∘ clockwise rotation using center P, (0,0), what would be the coordinates of

the vertices?

Mathematics
2 answers:
kicyunya [14]3 years ago
8 0
(-1,1) (-2,3) (1,3) (1,1)
pentagon [3]3 years ago
3 0

Answer:

(-1,1) (-2,3) (1,3) (1,1)

Step-by-step explanation:

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What is the length of pr ? PLEASE HELP
Karolina [17]
The angles in the triangles are the same, so you know the triangles are similar. Sides PQ and AB correspond as do sides PR and AC. Because the triangles are similar, you know that
  PR/AC = PQ/AB
  PR/24 = 5/20
Multiplying this equation by 24 gives
  PR = 24*(5/20) = 6

The appropriate choice is ...
  C. 6
3 0
3 years ago
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A market analyst is hired to provide information on the type of customers who shop at a particular store. A random survey is tak
sveta [45]

Complete question:

A market analyst is hired to provide information on the type of customers who shop at a particular store. A random survey is taken of 100 shoppers at this store. Of these 100, 73 are women. The shoppers The data is summarized below. we grouped in three age categories, under 30, 30 up to 50 and 50 and over. Women under 30 are 30, Men under 30 are 8 Women 30 to 50 are 25 and Men are 14 Women 50 and over are 18 and Men are 5.

Let W be the event that a randomly selected shopper is a woman. Let A be the event that a randomly selected shopper is under 30. a.) Find the probability of W. W (women Shoppers) = Find the probability of A. b.) Find the probability of A and W. c.) P (A and W) (Shoppers) d.) Find the probability of A or W. P(A or W) (Shoppers) e.) Find the probability of A given W

Answer:

A) P(W) = 73/100; B) P(A) = 38/ 100 C) 30 / 100

D) 81/100 E) 30/73

Step-by-step explanation:

- - - - - - - - Women Men Total

Under 30 - - - 30 - - - 8 - - 38

30 to 50 - - - - 25 - - 14 - - 39

50 & over - - - 18 - - - 5 - - -23

Totals - - - - - - 73 - - -27 - - 100

Recall:

Probability : P= (required outcome / Total possible outcomes)

A) probability of women shoppers: P(W)

Number of women shoppers = 73; total shoppers = 100

P(W) = 73/100

B) Probability of under 30: P(A)

= number of shoppers under 30 = 38

Tital number of shoppers = 100

P(A) = 38/ 100

C) probability of A and W; This is the probability that the selected person is a woman and under 30.

(W n A) = 30

= 30 / 100

D) probability of A or W:

P(A) + P(W) - P(A n W) :

(38 / 100 + 73 / 100 - 30 / 100) = (38+73-30) /100

= 81/100

E) probability of A given W:

P(A n W) / P(W) = 30/73

5 0
3 years ago
At a state park, an average of 126 bicycles per day are rented in October. This number is 10% less than the average number of bi
polet [3.4K]

Answer: 139

Step-by-step explanation:

100% + 10% = 110%

110/100 x 126 = 138.6 ≈ 139

hope this helped, if it’s wrong I’m so so so sorry :(

6 0
3 years ago
Two towers face each other separated by a distance = 15 m. As seen from the top of the first tower, the angle of depression of t
Crazy boy [7]

Answer:

Height of second tower = 17.32m

Step-by-step explanation:

I have attached a diagram depicting the question.

From the diagram, The first tower is depicted by side AEB and the second tower CD.

While d is the distance that separates the two towers and it's given as 15m.

Now, since the angle of depression of the second tower’s base is 60°, then for triangle BAC. Angle C = 60°.

Thus; using trigonometric ratios;

tan 60° = AB/AC.

This gives; AB = d*tan 60°

Similarly, for the triangle BED, BE = d*tan 30°

Since, AE = CD, thus ;

CD = AB − BE

CD = d (tan 60° − tan 30°)

CD = 15(1.7321 − 0.5774)

CD = 15 × 1.1547

CD ≈ 17.32 m.

So, height of second tower = 17.32 m

7 0
2 years ago
How can we write 0.17 in words?
iragen [17]
Point seventeen or zero point seventeen
4 0
3 years ago
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