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3 years ago

What set of Transformations are applied to parallelogram ABCD to create A'B'C'D'?

Mathematics

1 answer:

bearhunter [10]3 years ago

3 0

Answer: a) reflected over x-axis and reflected over y-axis

<u>Step-by-step explanation:</u>

Reflection over the x-axis changes the sign of the y-coordinate

Z = (x, y) → Z'(x, -y)

Reflection over the y-axis changes the sign of the x-coordinate

Z' = (x, -y) → Z''(-x, -y)

A = (-4, 1) → A'' = (4, -1)

B = (-3, 2) → A'' = (3, -2)

C = (-1, 2) → A'' = (1, -2)

D = (-2, 1) → A'' = (2, -1)

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Please can someone help me with this question?

zhannawk [14.2K]

Answer:

a = 16 π cm² Exact answer

a = 50.24 cm² Decimal approximation

Step-by-step explanation:

Radius of the circle

16/2 = 8

Area of the circle

a = πr²

a = π4²

a = 16 π cm² Exact answer

a = 16 * 3.14

a = 50.24 cm² Decimal approximation

7 0

2 years ago

Assume the hold time of callers to a cable company is normally distributed with a mean of 5.5 minutes and a standard deviation o

Ierofanga [76]

Answer:

The percent of callers are 37.21 who are on hold.

Step-by-step explanation:

Given:

A normally distributed data.

Mean of the data, $\mu$ = 5.5 mins

Standard deviation, $\sigma$ = 0.4 mins

We have to find the callers percentage who are on hold between 5.4 and 5.8 mins.

Lets find z-score on each raw score.

⇒ $z_1=\frac{x_1-\mu}{\sigma}$ ...raw score, $x_1$ = $5.4$

⇒ Plugging the values.

⇒ $z_1=\frac{5.4-5.5}{0.4}$

⇒ $z_1=-0.25$

For raw score 5.5 the z score is.

⇒ $z_2=\frac{5.8-5.5}{0.4}$

⇒ $z_2=0.75$

Now we have to look upon the values from Z score table and arrange them in probability terms then convert it into percentages.

We have to work with P(5.4<z<5.8).

⇒ $P(5.4$

⇒ $P(-0.25$

⇒ $P(z$

⇒ $z(1.5)=0.7734$ and $z(-0.25)=0.4013$ .<em>..from z -score table.</em>

⇒ $0.7734-0.4013$

⇒ $0.3721$

To find the percentage we have to multiply with 100.

⇒ $0.3721\times 100$

⇒ $37.21$ %

The percent of callers who are on hold between 5.4 minutes to 5.8 minutes is 37.21

4 0

3 years ago

What is the equation of the blue line?

AveGali [126]

Answer:

Y= 4x-3

Step-by-step explanation:

The y-intercept is -3,

the slope is 4:

rise over run= 4/1 or 4

so 4x-3

I hope this helps!

6 0

2 years ago

Help how to solve! 24=3r divided by 4

zhenek [66]

24=3r/4

Multiply both sides by 4

24=(3r)/4

(24)*(4)=(3r/4)*(4)

96=3r

Flip the equation

3r=96

Divide both sides by 3

3r/3=96/3

r=32

Now lets check if the answer is good

24=3(32)/4

24= 96/4

24=24

You see , the answer is good .

I hope that's help ! Let me know .

6 0

2 years ago

If m∠c=11x+85/3 and x=13 then what type of angle is c please help me with this

GuDViN [60]

Answer:

Acute angle

Step-by-step explanation:

Given that m<C = $\frac{11x + 85}{3}$ , to find out the type of angle angle C is, evaluate the expression given by substituting x = 13, in the expression.

m<C = $\frac{11x + 85}{3}$

m<C = $\frac{11(13) + 85}{3}$

m<C = $\frac{228}{3}$

m<C = 76°

Acute angles are less than 90°.

m<C is less than 90°, therefore it is an acute angle.

5 0

3 years ago

What set of Transformations are applied to parallelogram ABCD to create A'B'C'D'?​

What set of Transformations are applied to parallelogram ABCD to create A'B'C'D'?