What is the value of k?
k = 28
k= 29
k= 31
(5k - 3)°/(9 + k)°
k = 42

Answer: 19 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side  

Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.

Replacing with the values given:  

tan40 = 16/x

Solving for x  

x =16/tan40

x= 19 ft  

Feel free to ask for more if needed or if you did not understand something.  

Answer:

y=-3 , x=5

Step-by-step explanation:

-(x+3y=-4)   new -x-3y=4

                           x-5y=20

                             -8y=24

                             -8     -8

                              y=-3      x-5y=20

                                            x-5(-3)=20

                                             x+15=20

                                                -15= -15

                                                  x=5

The value of x is 5 for the system of equations [tex]x-5y=20[/tex] and[tex]x+3y=-4[/tex].

The given system of equations are :

[tex]x-5y=20[/tex] ...(1)

[tex]x+3y=-4[/tex]...(2)

To solve the equation, multiply equation (2) with -1.

[tex]-x-3y=4[/tex]...(3)

Add equation (1) and (3):

[tex]x-5y-x-3y=20+4[/tex]

Combine like terms:

[tex]-8y=24[/tex]

Divide both sides by -8:

[tex]y=-3[/tex]

Now, we substitute the value of [tex]y = -3[/tex] into either of the original equations to solve for x.

[tex]x - 5(-3) = 20[/tex]

[tex]x + 15 = 20[/tex]

[tex]x = 20 - 15[/tex]

[tex]x = 5[/tex]

Therefore, the solution to the system of equations is[tex]x = 5[/tex] and [tex]y = -3.[/tex]

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Answer:

249mm

Step-by-step explanation:

You find volume of the overall figure- 11 x 3 x 13= 429

Then find volumes of missing parts of overall complete figure and subtract from the overall volume....

5 x 4 x 3= 60

429-60=369

-------------------------------------

8 x 5 x 3= 120

369-120= 249

Hope this helped!! Hope you got it- please leave a rating and mark as Brainliest. Thank You :) (I really want to go to sleep right now, would have explained further, sorry)

Answer:

You have to find the volume!!  Length x Width x Height

Volume would be the space inside! You did not attach a picture though nor numbers ??

Step-by-step explanation:

Answer:

Volume is the amount of space an object takes up. L*W*H=V

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation

Answer:

[tex]y=\frac{1}{3} x[/tex]

Step-by-step explanation:

we need a function that when we plug the value of x, we get the given value of y.

In the coordinate point

(-9, -3)

the x and y values are:

x = -9

y = -3

so we can see that the value of y is one third of the x value (because -9/3 = -3):

[tex]y=\frac{1}{3} x[/tex]

this is also true for the secod point:

(-12, -4)

here the x and y values are:

x = -12

y = -4

again the y value is one third of the x value (because -12/3 = -4):  

[tex]y=\frac{1}{3} x[/tex] ⇒ this is the equation that represents the function.

Step-by-step explanation:

(log 0.04 − 2 log 0.3) / (1 − log 15)

Change 1 to log 10.

(log 0.04 − 2 log 0.3) / (log 10 − log 15)

Use log property: a log b = log bᵃ.

(log 0.04 − log 0.09) / (log 10 − log 15)

Use log property: log a − log b = log (a/b).

log (0.04/0.09) / log (10/15)

Reduce fractions.

log (4/9) / log (2/3)

Change 4/9 to (2/3)².

log ((2/3)²) / log (2/3)

Use log property: log bᵃ = a log b.

2 log (2/3) / log (2/3)

Divide.

2

Answer:

x = 3

Step-by-step explanation:

The area of a rectangle is length*width, while for a rectangle it is the length*width over two. Now lets substitute the values given.

3(x+12) = 3x+36 = Area of rectangle

5(2x)/2 = 10x/2 = 5x = Area of triangle

We know that the area of the rectangle is 3 times the area of the triangle, so 3x + 36 = 3(5x) --> 3x+36 = 15x

This gives basic linear equation of 3x + 36 = 15x to solve. Isolate x and solve:

36 = 12x

x = 3

Answer:

Option d) is correct

Step-by-step explanation:

Given: [tex]y=\left | x \right |[/tex] is translated 1 unit up and 6 units to  the left

To find: equation of the function when the given function is translated 1 unit up and 6 units to  the left

Solution:

See the graph of [tex]y=\left | x \right |[/tex] .

As the graph of the given function is translated 1 unit up and 6 units to  the left, the graph becomes as shown in the image attached.

The equation of the function when the given function is translated 1 unit up becomes [tex]y-1=|x|[/tex] and when this function is translated 6 units to  the left, the equation becomes [tex]y-1=|x+6|[/tex]

[tex]y=|x+6|+1[/tex]

So, option d) is correct.

Answer:

3x + 14-14 = –9x – 8-14

Step-by-step explanation:

3x + 14 = –9x – 8

Subtract 14 from each side using the subtraction property of equality

3x + 14-14 = –9x – 8-14

Answer:

B

Step-by-step explanation:

First, divide both sides by -1/2 to remove the -2 from the left side

Then you can subtract 3 from both sides to solve for x

x=2 btw

Answer:

B

Step-by-step explanation:

Answer:

The answer is B, they are both true!

Step-by-step explanation:

Answer:

x^2 + 0x - 9 = 0

Step-by-step explanation:

x^2-9=0 is already in standard form for a quadratic.  If desired it may also be rewritten as x^2 + 0x - 9 = 0

Answer:

4 because its not a scatter plot

Step-by-step explanation:

Answer:

Step-by-step explanation:

let x represent the number of markers.

Let y represent the cost for x boxes of markers.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (14 - 7)/(24 - 10)

m = 7/14 = 0.5

The equation of the straight line can be represented in the slope-intercept form, y = mx + c

Where

c = intercept

m = slope

To determine the intercept, we would substitute x = 24, y = 14 and m = 0.5 into y = mx + c. It becomes

14 = 0.5 × 24 + c = 12 + c

c = 14 - 12

c = 2

The equation would be

y = 0.5x + 2

Answer:

The measure of EF is 4 units

Step-by-step explanation:

If triangle ABC = triangle EDF where the coordinates of A(-1, 1), B(2,4), and C(3,1), what is the  measure of EF?​

To find the measure of EF, we will follow the steps below;

since  triangle ABC = triangle EDF  the coordinates of  triangle ABC  are A(-1, 1), B(2,4), and C(3,1),  then the coordinates of triangle EDF are E(-1, 1), D(2,4), and F(3,1)

To find the measure of EF, we will use the distance formula;

|EF| = √(x₂-x₁)² + (y₂-y₁)²

E(-1, 1)   F(3,1)

x₁=-1

y₁=1

x₂ =3

y₂ = 1

We can now proceed to substitute the values into the formula;

|EF| = √(3+ 1)² + (1-1)²

      = √(4)² + (0)²

      = √(4)²

       =√16

        =4

The measure of EF is 4 units

Answer: 16

Step-by-step explanation:

The constant of proportionality is a ratio that exist between two directly proportional quantities. From the question, recipe says to use 1.5 cups of flour to make 24 cookies.

y = the number of cookies made

x = the number of cups of flour used

y = kx

k = y/x

k = 24/1.5

k = 16

Therefore, the constant of proportionality which relates the number of cookies made, y, to number of cups of flour used, x is 16.

Answer:

A: How many 3/8's are in 48?  

Step-by-step explanation:

A: How many 3/8's are in 48?   how many are in means divide

B: What's 3/8 of 48?   = of means multiply

C: What is the total of 3/8 and 48?   total means add

D: How much more than 3/8 is 48?  more than means add

Answer:

Step-by-step explanation:

It is

A is awnser

Answer: (1, -2)

Step-by-step explanation:

If you think about that plot from two lines crossed each together, so I have a deal for you, that answer might be (1, -2).

Answer:

9/25

Step-by-step explanation:

Answer: A; 9/25

Step-by-step explanation:

First, you add up all the coloured t-shirts do you can find out the denominator. Then, you have the bottom number, 25. Now, you just find out the number of red t-shirts, which is 9.

So the probability of you picking a red t-shirt is 9/25

If you found this answer helpful, give it a five-star rating and a thanks! I would really appreciate it!

You can even give it a brainliest if you want! ;)

Answer:

210

Step-by-step explanation:

Answer:

The area of the base is 16 ft^2

The length of the prism is  4 feet.

The width of the prism is 4 feet.

Step-by-step explanation:

The formula for volume of a prism is given by

V=Bh where B is the area of the base and h is the height

96 = B h

We know h is 6

96 = B6

Divide each side by 6

16 = B

The area of the base is 16 ft^2

Since the base is a square

B =16ft^2

since it is a square, the area is given by

B =s^2 where s is the side length

16 =s ^2

Taking the square root

4 = s

The length of the prism is  4 feet.

The width of the prism is 4 feet.

Answer:

1.  square base        =  A = 16 ft² (Base area of square prism)

2. Length of prism  = 4 ft

3. Width of prism    =  4 ft

Step-by-step explanation:

given:

Volume of a square base prism (V) = 96 ft³

height (h) = 6 ft

Length (L) = L

Width (W) = W

find:

1.  square base

2. Length of prism

3. Width of prism

---------------------------------

1.

Vol of prism = base area (A) x height (h)

V = A * h

96 = A * 6

A = 96 / 6

A = 16 ft² (Base area of square prism)

2.

Length of prism = A = s²

16 = s²

s = √16

s = 4 ft.

therefore the Length of a square base prism = 4 ft

3.

square base = L = W

therefore the Width of a square base prism = 4 ft

Answer:

B.

Step-by-step explanation:

From what I can see in the picture, the equation of the line is written in y = mx + b form, where m is the slope and b is the y-intercept.

In the picture, m = 8. This is your slope.

As such, the answer is B.

Answer:

(4, –2)

Step-by-step explanation:

A function has associated only one output for each input. In the ordered pairs, we can see that for the input 4 there are two associated outputs, which are -2 and 2. Then, to make the relation a function, one of them must be removed.

Answer:

(4,-2)

Step-by-step explanation:

Answer:

21/56 chance or 37.5% chance

Answer:

21/56

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Answer:

g(x) = - sqrt(x+8) reflected about the x axis and shifted 8 units to the left

h(x) = 2 sqrt(x) +1 is stretched by 2 in the y direction and shifted up 1 in the y direction

Step-by-step explanation:

y = f(x + C)  C > 0 moves it left

So we moved it 8 units to the left

y = −f(x)  Reflects it about x-axis

g(x) = - sqrt(x+8) reflected about the x axis and shifted 8 units to the left

y = f(x) + C  C > 0 moves it up

so we moved it up 1 units

y = Cf(x)  C > 1 stretches it in the y-direction

and stretched it by 2 in the y direction

h(x) = 2 sqrt(x) +1 is stretched by 2 in the y direction and shifted up 1 in the y direction

Answer:

g(x) = - square root (x+8) reflected about the x axis and shifted 8 units to the left

h(x) = 2 square root x) +1 is enlarged by 2 in the y direction and shifted up 1 in the y direction

Step-by-step explanation: whabby not know whabby learn still.

Answer:

x = 5.7

Step-by-step explanation:

Use the Triangle-Angle-Bisector Theorem.

[tex]\frac{CD}{DB}[/tex] = [tex]\frac{AC}{AB}[/tex]

Substitute the corresponding side lengths.

[tex]\frac{2}{2.8}[/tex] = [tex]\frac{x}{8.1}[/tex]

Cross Multiply.

16.2 = 2.8x

Divide each side by 2.8.

[tex]\frac{16.2}{2.8}[/tex] = [tex]\frac{2.8x}{2.8}[/tex]

Since 2.8 cancels out 2.8x, your left with x.

Then divide 16.2 by 2.8.

x = 5.7

Answer:

I believe the answer is

m = 10.46

Step-by-step explanation:

y = 576

y = 55m + 0.70

I could be wrong but I hope this helps!

Answer:

$33.75

Step-by-step explanation:

The selling Price is $33.75.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A music store bought a CD set at a cost of $25.

Markup Percent= 35%

Now, the Selling Price

= 25 + 25 x 35%

= 25 + 25 x 35/100

= 25 + 25 x 0.35

= 25 + 8.75

= $33.75

Hence, the selling Price is $33.75.

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