If (8, 12) and (3, 4.5) belong to a proportional relationship, what is the constant of
proportionality?

Answer:

The two triangles are related by A - S - A test of similarity , so the triangles are congruent.

Answer:

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

Recall that

Amount = Principal + Interest

The formula is;

A = P(1 + r)^n

Where;

P= principal, n = time and r = rate

Hence;

P + I =  P(1 + r)^n

P + 193.03 = P(1.021)^2

P + 193.03 = 1.04P

P - 1.04P = -  193.03

-0.04 P =  -  193.03

P = 193.03/0.04

P = $ 4825.75

B) When A = $6000, n=?

From;

A=   P(1 + r)^n

6000 = 4825.75 (1.021)^n

6000/4825.75 = (1.021)^n

1.24 =  (1.021)^n

Taking logarithm of both sides;

log 1.24 = n log 1.021

n = log 1.24/log 1.021

n = 0.0934/0.009

n = 10 years

Answer:

[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(\theta)=\frac{\sqrt{11}}{7}[/tex]

Where θ is in QI.

And we want to determine sin(2θ).

First, note that since θ is in QI, all trig ratios will be positive.

Next, recall that cosine is the ratio of the adjacent side to the hypotenuse. Therefore, the adjacent side a = √(11) and the hypotenuse c = 7.

Then by the Pythagorean Theorem, the opposite side to θ is:

[tex]b=\sqrt{(7)^2-(\sqrt{11})^2}=\sqrt{49-11}=\sqrt{38}[/tex]

So, with respect to θ, the adjacent side is √(11), the opposite side is √(38), and the hypotenuse is 7.

We can rewrite as expression as:

[tex]\sin(2\theta)=2\sin(\theta)\cos(\theta)[/tex]

Using the above information, substitute. Remember that all ratios will be positive:

[tex]\displaystyle =2\Big(\frac{\sqrt{38}}{7}\Big)\Big(\frac{\sqrt{11}}{7}\Big)[/tex]

Simplify. Therefore:

[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]

Answer:

Since you are looking for the scale factor of ABC to DEF the answer is 8 because DEF is 8 times larger than ABC

Step-by-step explanation:

The measure of angle A is 86.

A kite is a flying object that is tethered to the ground by a string or a cord. It typically has a light framework of bamboo, plastic, or other materials, covered with paper or fabric, and often in the shape of a diamond or triangle.

We have,

From the figure,

We see that,

6x + 4 + ∠A = 180

Now,

∠A = 4x + 26

So,

6x + 4 + 4x + 26 = 180

10x + 30 = 180

10x = 180 - 30

10x = 150

x = 15

Now,

∠A = 4x + 26 = 4 x 15 + 26 = 60 + 26 = 86

Thus,

The measure of angle A is 86.

Learn more about kite here:

https://brainly.com/question/31239785

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The complete question:

Levi was designing a kite. he needs to determine the measure of angle A.

Answer:

19  

Use the given functions to set up and simplify

Answer:

D) y = 12

Step-by-step explanation:

One can use the angle bisector theorem to solve this problem. The angle bisector theorem states:

[tex]\frac{a_1}{b}=\frac{a_2}{c}[/tex]

Where ([tex]a_1[/tex]) and ([tex]a_2[/tex]) are a part of the side that is intersected by the angle bisector and ([tex]b[/tex]) and ([tex]c[/tex]) are the other two sides in the triangle. Substitute in the given values and solve for the unknown.

[tex]\frac{4}{8}=\frac{6}{y}[/tex]

Simplify,

[tex]\frac{1}{2}=\frac{6}{y}[/tex]

Cross products,

[tex]12=y[/tex]

Answer:

Radius= 5.4

Step-by-step explanation:

Formula for Sphere- V= 4/3(pi)• r^3

r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)

Step-by-step explanation:

cosθ = 15/17 and sinθ = -8/17

So, tanθ = sinθ / cosθ = -8/15 and cscθ = 1 / sinθ = -17/8

Answer:

1. 85 in squared

Work: b=17 h=10

17*1/2=8.5

8.5*10=85

2. 142.5 mm squared

Work:b=15 h=19

15*1/2=7.5

7.5*19=142.5

3. 110.5 mm squared

Work:b=17 h=13

17*1/2=8.5

8.5*13=110.5

4. 9km squared

Work:b=2 h=9

2*1/2=1

1*9=9

5. 924 mm squared

Work:b=77 h=24

77*1/2=33.5

33.5*24=924

6. 104.5 m squared

Work: b=19 h=11

19*1/2=9.5

9.5*11=104.5

Step-by-step explanation:

Answer:

1. 10x17=170

170/2=85in

2. 19x15=285

285/2=142.5mm

3. 13x17=221

221/2=110.5mm

4. 9x2=18

18/2= 9km

5. 24x77=1,848

1,848/2=924mm

6. 11x19=209

209/2=104.5m

Answer:

c

Step-by-step explanation:

Answer:

c 111 mark me

Step-by-step explanation:

and ur welcome lol

Answer:

105

Step-by-step explanation:

if it true i add 65 +40 =105 so yeah

Answer:

i

Step-by-step explanation:

dont know

Answer:

Step-by-step explanation:

This is not a function.

A function has to have 1 y associated with each x. This relationship has 2 except for 1 point (the vertex at 3,0).

You can write a domain and range for it.

The domain is

- infinity < x < 3

The range is

-infinity  < x < + infinity.

Answer:

20

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

C, the answer is exponential function

Answer:

In naming a ray, we always begin with the letter of the endpoint (where the ray starts) followed by another point on the ray in the direction it travels. Since the vertex of the angle is the endpoint of each ray and our vertex is , each of our rays must begin with . Only fails to do so.

Answer:

A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. You cannot measure the length of a ray. A ray is named using its endpoint first, and then any other point on the ray (for example, →BA ).

Answer:

ok try it now.

Step-by-step explanation:

Answer:

700 m^2

Step-by-step explanation:

If the height is 28, and the base is 50, do the triangle area formula for the area.

1/2 28 * 50 = 14 * 50 = 700

Answer:

I believe it should be 700

Step-by-step explanation:

Formula: B times H times 1/2

Answer:

B) 6/5 or 1 1/5

Step-by-step explanation:

5/9 ÷ 5/3 × 18/5 = 5/9 × 3/5 × 18/5 = 6/5

Answer:

191.0

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

SHAWTYYY THIRSTY

Answer:

21/24-20/24=1/24

Step-by-step explanation:

Make the denominators same by multiplying the fraction with a number that will make the denominators equal i.e 3 for first fraction and 4 for the second fraction.

Answer: A

Step-by-step explanation:

I just took the USATESTPREP quiz and that is the answer.

 Option (C) will define the changes in the graph of the function with the values of 'd'.

 Given function in the question → y = alog(x + c) + d

Rules for the translation of a function,

 Hence, in the given function y = alog(x + c) + d, positive value of 'd' will define the shifting of the parent function upwards.

And for the negative value of 'd' will define the shift of the function downwards.

     Option (C) will be the correct option.

Learn more,

https://brainly.com/question/16770247

Answer:

1.37

Step-by-step explanation:

I just used my calculator lol

Answer:

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

answer:

2y(x³+4x-2x²-8)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

answer:

2y(x³+4x-2x²-8)

2y(x³-2x²+4x-8)

2y(x²(x-2)+4(x-2))

2y(x²+4)(x-2)

Answer:

The median of the numbers is 3.66 less than the mean

Step-by-step explanation:

To find the median, find the middle of the numbers

0.6, 0.7, 0.85, 1.5, 5.4

To find the mean, add all the numbers and divide by the number of numbers

0.6 + 0.7 + 0.85 + 15 + 5.4 = 22.55

22.55/5 = 4.51

To find how less, subtract the median from the mean

4.51 - 0.85 = 3.66

Answer:

x = 1

y = 9

Step-by-step explanation:

The diagonals of the parallelogram bisect each other. Therefore:

✔️2x + 13 = 15

2x + 13 - 13 = 15 - 13

2x = 2

2x/2 = 2/2

x = 1

✔️5y - 36 = y

5y - 36 - 5y = y - 5y

-36 = -4y

-36/-4 = -4y/-4

9 = y

y = 9

Answer: x=2, y=5

Explanation in image below

Step-by-step explanation: