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3 years ago

Which of the following shows this trapezoid rotated 90°

Mathematics

2 answers:

Alenkasestr [34]3 years ago

8 0

Answer:

its the second option...

Step-by-step explanation:

vlada-n [284]3 years ago

3 0

Answer:

Graph (2) is the answer.

Step-by-step explanation:

Rule to rotate a point (x,y) 90° clockwise about the origin

(x,y) ⇒ (y,-x)

Then translated 3 units up

(y,-x) ⇒ (y,-x + 3)

So rule is (x,y) ⇒ (y, -x+3)

Now we take all the points of the trapezoid

(0, -1) ⇒ (-1, 3)

(1.5, -2.5) ⇒ (-2.5, 1.5)

(1.5, -3.5) ⇒ (-3.5, 1.5)

(0, -3.5) ⇒ (-3.5, 3)

These coordinates match with the points in figure (2)

Therefore, Graph (2) is the answer.

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Dafna1 [17]

Given:

The scale factor between two circles is $\dfrac{2x}{5y}$ .

To find:

The ratio of their areas.

Solution:

We know that, all circles are similar.

The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.

The scale factor is the ratio of the corresponding sides.

Ratio of areas of circles = Square of scale factor between two circles

$\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2$

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Therefore, the correct option is D.

3 0

3 years ago

in a class of 32 students the mean height of the 14 boys is 1.56 meters and the mean height of all 32 students is 1.151 meters.

Nimfa-mama [501]

Answer: Hence, Mean height of the girls is: 1.48

Step-by-step explanation: It is given that:

in a class of 32 students .

the mean height of 14 boys is 1.56 and the mean height of all 32 students is 1.515.

Since there are 14 boys in a class.

So, number of girls is equal to (32-14)=18.

The mean height of 14 boys is 1.56.

Hence the sum of height of 14 boys is= 1.56×14=21.84

Similarly mean height of 32 students is 1.515.

Hence, sum of height of 32 students=1.515×32=48.48.

Let x denote the mean height of 18 girls.

Hence, sum of height of 18 girls is: 18 x.

Now,

18x+21.84=48.48

( since sum of height of girls and boys is equal to the sum of height of all the students)

so, 18x=48.48-21.84

18 x=26.64

Hence, x=1.48

Hence, Mean height of the girls is: 1.48

4 0

3 years ago