AABC is dilated by a factor of į to produce AA'B'C!
37
12
15
53
9
с
What is AC, the length of AC after the dilation? What is the measure of ZA?
A. A'C' = 5, m ZA= 12
O B. A'C' = 5, mZA'= 37°
O C. A'C' = 45, m A'= 37°
D. A'C' = 4, mZA'= 53°

Answer:

Note  that  ABC   is  a 6 - 8 -10   right triangle  with AB  = 10

Also note  that triangle ADC  is similar to triangle  ACB

Therefore

AD/ AC =  AC / AB       so

AD / 6  = 6/ 10           cross-multiply

10*AD  =  6 * 6

810*AD   = 36

AD  = 36 /  10  =    3.6  =  x

I hope this helps a little bit.

Answer:

[tex]7\frac{7}{15}[/tex]

Step-by-step explanation:

Mark as Brainllest plz

Answer:

(-∞,3/2),{xIx<3/2}

Step-by-step explanation:

Using inverse function concepts, the correct option is:

B. Domain: x < -2 Range: y> 3

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in

here, we have,

we know that,

The domain of a function is the set that contains all possible input values.

The range of a function is the set that contains all possible output values.

In the inverse function, input and output are exchanged, thus, domain and range are also exchanged.

For the original function, the domain is x > 3 and the range is y < -2.

Thus, for the inverse function, the domain is x < -2 and the range is y > 3, which means that option B is correct.

learn more on domain at :

brainly.com/question/24603090

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Complete question:

The domain of a function h(x) is x > 3, and the range is y2 -2. What are the domain and range of its inverse function, h-1(x)?

A. Domain: x>3 Range: y2 -2

B. Domain: x2 -2 Range: y> 3

C. Domain: x>-2 Range: y> 3

D. Domain: x2 3 Range: y> -2 ​

Answer:

w = 3

Step-by-step explanation:

factoring x² + x - 12 you get (x + 4)(x - 3) = 0

x = -4 and x = 3

since you cannot have a negative width, we exclude that value and use the positive value of 3

Answer:

i think 120

Step-by-step explanation:

Step-by-step explanation:

by using Pythagoras theorem,

AB^2+BC^2=CA^2

9^2+12^2=x^2

81+144=285

answer=(285)^2=16.88

nearest tenth is 20

Answer:

I will use x for # of subway tickets, and y for # of express bus tickets.

24 = 6x + 4y

27 = 3x + 7y

x = 2

y = 3

16 = 10 + 6

Answer is 16

Answer:

Step-by-step explanation:

A rectangular gate has a diagonal bar running across it.The gate is 80cm high and 2m wide.Work out the length of the bar.Give your answer in surd form..

Answer:

c = 8.4m is the answer.

Step-by-step explanation:

a = 6m

b = 6m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

6² + 6² = c²

36 + 36 = c²

c² = 72

c = 8.4m

∴ The mouse runs 8.4 m from the opposite corners of the room.

Answer:

8.5 m

Step-by-step explanation:

If you draw the segment from one corner to the opposite corner, you'll have the hypotenuse of a triangle with two legs of 6 m. We can find the length of the hypotenuse using the Pythagorean Theorem.

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

c^2 = 72

c = sqrt(72)

c = 6sqrt(2) = 8.5

Answer: 8.5 m

Answer:

Ccritical value = 1.833

Answer:

c

Step-by-step explanation:

I'm not completely sure if this is right, but i hope it is :/

Answer:

2

Step-by-step explanation:

Since with every 10 seconds, the distance increase by 20 meters

hence, 20/10 = 2

Answer:

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z =11[/tex]

Step-by-step explanation:

Given

[tex]y=6; z=3[/tex]

Evaluate

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z[/tex]

Substitute [tex]y=6; z=3[/tex] in the expression.

So, we have:

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = \frac{3}{2}*6 - 3 + \frac{5}{3} * 3[/tex]

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = \frac{3*6}{2} - 3 + \frac{5* 3}{3}[/tex]

Evaluate the fractions

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = 3*3 - 3 + 5[/tex]

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z =11[/tex]

Answer:

log3x

Step-by-step explanation:

i think it would be y=log3x

Answer:

b = 90 >- 45 + 0.05t

Step-by-step explanation:

She can't spend more than 90 and this the only equation that makes sense.

Answer:

D (6)

Step-by-step explanation:

you must place a number on a number line starting from the smallest (negative number ) to the bigger number (positive number ).

the number that is represented by J is 6

Answer: <A and <F

Step-by-step explanation: Verticle angles are angles that are on opposite sides of each other therefore having the same angle.

There are 5 triangles and 1 pentagon for a total of 6

The answer is 6

Answer:

(x^3 +8)/(x+2) = x^2 -2x +4

Step-by-step explanation:

Answer:

choice 4) 33.5 in³

Step-by-step explanation:

r = 4/2

V = 4/3πr³ = 4/3(3.14)(2³) = 33.5 in²

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]x + 4y < 4[/tex]

The question is incomplete, as what is to be done is not stated.

However, possible sub-questions could be to determine the slope and the y-intercept for the boundary line.

To calculate slope, we have:

[tex]x + 4y < 4[/tex]

Solve for 4y

[tex]4y < - x + 4[/tex]

Solve for y

[tex]y < -\frac{x}{4} + \frac{4}{4}[/tex]

[tex]y < -\frac{1}{4}x + 1[/tex]

A linear inequality is represented as:

[tex]y <mx + b[/tex]

Where [tex]m =slope[/tex] and [tex]b = y\ intercept[/tex]

So:

By comparison:

[tex]mx = -\frac{1}{4}x[/tex]

[tex]m = -\frac{1}{4}[/tex]

and

[tex]b = 1[/tex]

So:

[tex]Slope = -\frac{1}{4}[/tex]

[tex]y\ intercept = 1[/tex]

Also, see attachment for graph

Answer:

-5(k2-4k+6)

Step-by-step explanation:

I think is -5(k2-4k+6)

I think that it's 5(k2 − 4k + 6)

Answer:

The answer is 4 simplified or 8/2 not simplified

Answer:

y = 3,254.3 yd

Step-by-step explanation:

Lets denote with 'x' and 'y' the distances we need to find.

Using the Law of Sines we can write:

x/(sin 76) = 1175/(sin(180 - (83 + 76))

x/(sin 76) = 1175/(sin 21)

x = 3,181.4 yd

y/(sin 83) = 1175/(sin(180 - (83 + 76))

y/(sin 83) = 1175/(sin 21)

y = 3,254.3 yd

The platform is 3,181.4 yards far from one end of the beach and 3,254.3 yd far from the other.

The distance of the oil​ platform is 3708.82 yards, from each end of the beach.

Given that,

The figure shows a 1300​-yard-long sand beach and an oil platform in the ocean.

The angle made with the platform from one end of the beach is 84 degrees and from the other end is 76 degrees.

We have to determine,

The distance of the oil​ platform, to the nearest tenth of a​ yard, from each end of the beach.

According to the question,

Let x be the distance of the sand beach,

And y be the distance of oil platform.

The distance of the oil​ platform of a​ yard, from each end of the beach, is determined by using the sin rule,

[tex]\rm \dfrac{x}{sina} = \dfrac{y}{sinb}\\\\ \dfrac{x}{sin76} = \dfrac{1300}{sin(180-(84+76))}\\\\ \dfrac{x}{0.97} = \dfrac{1300}{sin(180-160)}\\\\\dfrac{x}{0.97} = \dfrac{1300}{sin20}\\\\\dfrac{x}{0.97} = \dfrac{1300}{0.34}\\\\ \dfrac{x}{0.97}= 3823.52 \\\\ x = 3823.52 \times 0.97\\\\x = 3708.82[/tex]

Hence, The distance of the oil​ platform is 3708.82 yards, from each end of the beach.

For more details refer to the link given below.

https://brainly.com/question/18188038

Answer:

a. 4. Kyles's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.

b. His blood pressure is of 149.5 millimeters

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

a. Which answer(s) is/are correct?

His blood pressure has a zscore of 1.75, which means that it is 1.75 standard deviation above the mean value. So the correct answer is given by option 4.

b. Calculate Kyle's blood pressure.

We have to find X when [tex]Z = 1.75, \mu = 125, \sigma = 14[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.75 = \frac{X - 125}{14}[/tex]

[tex]X - 125 = 1.75*14[/tex]

[tex]X = 149.5[/tex]

His blood pressure is of 149.5 millimeters