A right triangle has side lengths of 15 in, 12 in, and 9 in. it is dilated by a scale factor and has new side lengths on 5 in, 4in, and 3 in. what was the scale factor?

The value of cos A in the triangle is 1 / 9.

The triangle is given as ABC. The side lengths are a, b and c. Therefore, cos A of the triangle can be found using cosine rule as follows:

a² = b² + c² - 2bc cos A

a = 4

b = 3

c = 3

Therefore,

4² = 3² + 3² - 2(3)(3) cos A

16  = 9 + 9 - 18 cos A

16 - 18 = - 18 cos A

-2 = - 18 cos A

divide both sides by - 18

cos A = - 2 / - 18

cos A = 1 / 9

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Answer:

9

Step-by-step explanation:

Simply plug -3 in for x.

-2(-3)^2-7(-3)+6

(-3)^2=9

9*-2= -18

-7*-3=21

-18+21=3

3+6=9

Answer:

f(-3) = 9

Step-by-step explanation:

Here we have a quadratic function in x:  and we want to know the value of this function when x = -3.

Substituting -3 for x in f(x) = -2x^2 - 7x + 6, we get f(-3) = -2(-3)^2 - 7(-3) + 6, which works out to                                                    f(-3) = -2(9) + 21 + 6, or

                                                                                    f(-3) = -18 + 27 = 9

Thus, f(-3) = 9

Answer:

Its y=1/2x +2(the second one)

Step-by-step explanation:

Answer: its the second one  y= 1/2x + 2

Step-by-step explanation:

Answer:

19, 31

Step-by-step explanation:

2+5 is 7, 7+12 is 19, so forth

Answer: 5, | 4 |, | -1 |, -2

Answer:

0, l-1l, l-2l, l4l, 5

Step-by-step explanation:

The absolute value bars l l, turn any negative number positive and any positive number remains positive.

Answer:

\(\frac{3}{4}\)

Step-by-step explanation:

\(\frac{3}{5} = \frac{36}{x}\)

3x = 36 x 5

3x = 180

x = 60

Michael has 60 marbles.

Nick recieves 9 more marbles so he has 36 + 9 = 45 marbles

The new ratio will be:

\(\frac{45}{60}\)  = \(\frac{3}{4}\)

A C and E are the answers!

Step-by-step explanation:

\( \large\underline{\sf{Solution-}}\)

Given function is

\(\rm \longmapsto\:f = \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R\)

To find the range of the function f, Let assume that

\(\rm \longmapsto\:y = \dfrac{ {x}^{2} }{ {x}^{2} + 1} \)

\(\rm \longmapsto\: {yx}^{2} + y = {x}^{2} \)

\(\rm \longmapsto\: {yx}^{2} - {x}^{2} = - y\)

\(\rm \longmapsto\: - {x}^{2} (1 - y) = - y\)

\(\rm \longmapsto\: {x}^{2} (1 - y) = y\)

\(\rm \longmapsto\: {x}^{2} = \dfrac{y}{1 - y} \)

\(\rm\implies \:x = \sqrt{\dfrac{y}{1 - y} } \)

For x to be defined,

\(\rm \longmapsto\:y \geqslant 0 \: \: and \: \: 1 - y > 0\)

\(\rm \longmapsto\:y \geqslant 0 \: \: and \: \: - y > - 1\)

\(\rm \longmapsto\:y \geqslant 0 \: \: and \: \: y < 1\)

\(\bf\implies \:y \: \in \: [0, \: 1)\)

Hence,

\(\bf\implies \:Range \: of \: f \: \in \: [0, \: 1)\)

Answer:

24%

Step-by-step explanation:

we subtract to see how much it increased

62-50=12

Now divide 12 by 50 to get percent

12/50

0.24

0.24x100

24%

Hopes this helps please mark brainliest

Approximating 7,123,456 by rounding to the nearest million will be 7,000,000.

Anything similar to something else but not precisely the same is called an approximation. By rounding, a number can be roughly estimated. By rounding the values in a computation before carrying out the procedures, an estimated result can be obtained.

If you want to round to one or two decimal places, look at the digit immediately following the decimal point. To the right of the necessary place value digit, draw a vertical line. Observe the following digit. Increase the preceding digit by one if the following digit is 5 or higher.

Therefore, approximating 7,123,456 by rounding to the nearest million will be 7,000,000.

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Answer:

commission

Step-by-step explanation:

the worker is paid primarily through a percentage of their sales total for the commission than a salary or an hourly wage.

so is commission.

Answer:

2.25

Step-by-step explanation:

32 divided by 14 2/9

can I please have brainiest

Answer:

732.76

Step-by-step explanation:

There are 28 desks and each is 26.17. The word "each" signifies multiplication. Formula  - 26.17 x 28  or ; inches x desks

Hope this helps :)

Answer:

T=-13

Step-by-step explanation:

substitute T=3*5+4*(-7)

the product:T=15-28

the sum:T=-13

The vertex of the parabola will move from (5, 7) to (-1, -2).

Equation 1, h(x) = (x-5)²+7,

Equation 2, g(x) = (x+1)²-2,

For both the given equations, we will get a graph of parabola(as in the image below),

h(x) = (x-5)²+7, represented in red;

g(x) = (x+1)²-2, represented in blue;

Also, we know for a parabola, the coordinates of the vertex of a parabola are given by, f(x) = (x - h)² + k, where (h, k) are coordinates of a vertex of a parabola.

Using the same,

h(x) = (x-5)²+7, coordinates of a vertex of this parabola are (5, 7);

g(x) = (x+1)²-2, coordinates of a vertex of this parabola are (-1, -2);

Therefore, the vertex of the parabola will move from (5, 7) to (-1, -2).

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Answer:

x = 54/7 y= -4/7

Step-by-step explanation:

Answer:

x = 54/7 and y = -4/7

Step-by-step explanation:

x+3y=6

4x-2y=32

= 4 ( x+3y=6 )

= 4x +12y = 24 - 4x -2y = 32

=14y = -8

y = - 4/7

X + 3(-4/7) = 6

x+-12/7 = 6

x = 54/7

Answer:

Let x be the amount Pam has, then Dan has x - $3.00 and Sam has x + x - $3.00 + $1.00 = 2x + $1.00

The total amount of money they have is x + x - $3.00 + 2x + $1.00 = 31.00

So, 4x + $1.00 = 31.00

Subtracting $1.00 from both sides gives 4x = 30.00

Finally, dividing both sides by 4 gives x = $7.50

So Pam has $7.50, Dan has $7.50 - $3.00 = $4.50, and Sam has $7.50 + $4.50 + $1.00 = $13.00.

Answer:

9. 21

10. QP, 8, 18

Step-by-step explanation:

9.

2(4x-65) = 2x-4

6x = 65*2-4 = 126

x = 21

10.

a. QP

b. 8

c. 18

Answer:

4/3pi

Step-by-step explanation:

Length of an arc  = r theta

Given radius r = 30

length of arc  l = 40

Substitute

40 = 30theta

theta = 40/30

theta = 4/3 pi

Hence the angle marked B is 4/3pi

Answer:

Just expand or simplify them then you should add.

Step-by-step explanation:

Example 8² = 64 and \(\sqrt{100}\) = 10

64 + 10 = 74

Answer:jac ganko

Step-by-step explanation:

The value of the high temperature is 90°F

From the question, we have the following parameters that can be used in our computation:

This means that

High - Low = 26

Substitute the known values in the above equation, so, we have the following representation

High - 64 = 26

Add 64 to both sides

High = 90

Hence, the high temperature is 90°F

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Answer:

2/5, 16/25, and 11/4

Step-by-step explanation:

40/100 to 4/10 to 2/5

64/100 to 32/50 to 16/25

275/100 (by 25) to 11/4

Answer:

\(\\\qquad\quad\displaystyle\sf {:}\longrightarrow (y-5)2-(y-3)2=12 \)

\(\\\qquad\quad\displaystyle\sf {:}\longrightarrow 2y-10-2y-6=12\)

\(\\\qquad\quad\displaystyle\sf {:}\longrightarrow 2y-2y-10-6=12 \)

\(\\\qquad\quad\displaystyle\sf {:}\longrightarrow -16=12 \)

\(\\\qquad\quad\displaystyle\sf {:}\longrightarrow y's\:value\:is\:undefined \)

Answer:

\( {(y - 5)}^{2} - {(y - 3)}^{2} = 12 \\ = ( {y}^{2} - 10y + 25) - ( {y}^{2} - 6y + 9) = 12 \\ = {y}^{2} - 10y+ 25 - {y}^{2} + 6y - 9 = 12 \\ = - 4y + 16 = 12 \\ = - 4y = 12 - 16 \\ = - 4y = - 4 \\ = y = \frac{ - 4}{ - 4} \\ = \boxed{y = 1}\)

Answer:

4

Step-by-step explanation:

26x+6 - 12x +2 = 14x +4

60-4 = 56

56/14=4

Answer:

Step-by-step explanation:

by phythagoras theorm

AB² + BC² = AC²

5² + BC² = 13²

25 + BC² = 169

BC² = 169 - 25

BC² = 144

BC = √144

BC = 12cm

Answer:

k = -19

Step-by-step explanation:

Given

Subract 11 from each side.

Hey there!

Solve the equation :

k = -19 ✅

k + 11 = -8

>> Substract 11 from both sides :

k + 11 - 11 = -8 - 11

>> Simplify :

k = -19

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