A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?​

Answer:

c

Step-by-step explanation:

Answer:

$200 and $450

Step-by-step explanation:

We can start by assigning variables to our unknowns.

Our unknowns are the price for a DVD player and the price for a television.

x= price of a television

y= price of a DVD player

Next, let's translate the given information into a system of equations.

two televisions and three DVD players for $1750

2x+3y=1750

four televisions and one DVD player for $1250

4x+y=1250

Since the instructions did not specify, I will use substitution to solve, however you can also use elimination.

First, from the second equation, we subtract 4x from both sides.

4x+y-4x=1250-4x

y=1250-4x

Now we plug 1250-4x for y in the first equation.

2x+3y=1750

2x+3(1250-4x)=1750

Distribute.

2x+3*1250-3*4x=1750

Simplify.

2x+3750-12x=1750

Combine like terms.

-10x+3750=1750

Subtract 3750 from both sides

-10x+3750-3750=1750-3750

-10x=-2000

Divide both sides by -10

x=200

A television costs $200.

Now using that, we can plug that into one of the original equations. I'll use the second one.

4x+y=1250

4(200)+y=1250

800+y=1250

Subtract 800 from both sides.

y=450

A DVD player costs $450

You can plug those values back into the other equation (the first one) to double-check if you'd like as well.

Answer:

T=3r+20 for the children and T=4r+28 for the adults

Step-by-step explanation:

Let r equal the amount of rides the person took, let T equal the total cost of the trip

Answer:

-9/7 bc the perpendicular is the inverse of the former slope

Step-by-step explanation:

Answer:

I believe it is

1) yes

2) no

3) no

4)no

Step-by-step explanation:

It can only be a solution if you put the x in from the table into the x of the equation and the y in from the same ordered pair into the equation for y and if you get 1 for the fist equation it is a solution but you also have to get 7 for the second equation for it to fully be a solution. Also, you can go to desmos and enter the equations and then substitute the x's and y's... you will have to delete the =1 and =7 in order for the website to tell you what it equals.

Both the lines are perpendicular lines.

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of lines are,

⇒ 6x - 2y = 1 and x + 3y = 12.

Now,

Since, The equation of lines are,

⇒ 6x - 2y = 1 and x + 3y = 12.

Hence, Find the slopes of the lines as;

⇒ 6x - 2y = 1

⇒ 2y = 6x - 1

⇒ y = 3x - 1/2

⇒ m₁ = dy/dx = 3

And, From second line,

⇒ x + 3y = 12.

⇒ 3y = - x + 12

⇒ y = - 1/3x + 4

⇒ m₂ = dy/dx = - 1/3

Clearly, We get;

⇒ m₁ m₂ = 3 × - 1/3

             = - 1

Thus, Both the lines are perpendicular lines.

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Answer:

Question 2: v = 25n

Question 3: b (the output is 250 because 10 quarters is 250 cents)

Step-by-step explanation:

Each quarter is worth 25 cents. n represents the number of quarters you have. The number of quarters you have multiplied by 25 with give the value of the quarters in cents.

v = 25n

v = 25(10)

v = 250

(v represents the value in cents)

Answer:

x = 3.464 ft.

Step-by-step explanation:

To find x we use the trigonometric identity Sine.

[tex]sin\ \theta=\frac{perpendicular}{hypotenuse}\\\\sin\ 60=\frac{x}{4} \\\\4*sin60=x\\4*0.866=x\\3.464=x\\x=3.464\ ft[/tex]

Answer:

x = 3.464 ft.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

f(4)=4-2x+5

4-2(4)+5

4-8+5

1

Answer:

x=1

Step-by-step explanation:

4-2x+5

x=4 so substitute the x with 4.

4-2(x)+5

=1

Answer:

first year $20 second year $20.80 Third year $21.63

Step-by-step explanation: This is for an extra money per year so after the first year that is how much extra money he gets every year.

Answer:

x=3 C

Step-by-step explanation:

5x-13=-3x+11

8x-13=11

8x=24

x=3

Answer:

the answer is x=3

Step-by-step explanation:

i hope this help you

Answer:

31

Step-by-step explanation:

PEMDAS

16(2) * 0.

32 * 0

=0

2(2) * 2

=8

8 * 4 - 1

32 - 1 = 31

Answer:

Its 6. Trust me.

Step-by-step explanation:

Answer:

[tex]C(w) = 5w + 12[/tex]

[tex]C(w) = 12+5w[/tex]

Step-by-step explanation:

Given information:

- Monthly fee of $12

- $5 fee per workout class

- [tex]w[/tex] represents the workout classes taken for a month

- - - -

With the given information, we can conclude that [tex]C(w)=[/tex] workout fee + monthly fee.

Workout fee = [tex]$5w[/tex]

Monthly fee = [tex]$12[/tex]

∴ [tex]C(w) = 5w + 12[/tex] or [tex]C(w) = 12+5w[/tex] (they are the same)

Hope this helps :)

Answer:

0.3

Step-by-step explanation:

Answer:  slope: 1/4

y-intercept: 0,3

Step-by-step explanation:

Answer:

[tex]a=9[/tex]

Step-by-step explanation:

In this problem, you can use the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex]) to find what a is. The steps are shown below:

Steps (variables a, b, and c are in italics):

-You can rearrange the formula from the Pythagorean Theorem, which is[tex]a^{2} +b^{2} =c^{2}[/tex] to only get a because we want to know what a is.

Rearranged: [tex]a=\sqrt{c^{2}-b^{2} }[/tex] or [tex]a=-\sqrt{c^{2}-b^{2} }[/tex]  It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.

-Since we know what c and b are, you can plug them into the new formula:

[tex]a=\sqrt{15^{2}-12^{2} }[/tex]

-Simplify it:

[tex]a=\sqrt{225-144}[/tex]

-Subtract inside the radical:

[tex]a=\sqrt{81}[/tex]  Then simplify it to get [tex]a=9[/tex].

You can check your answer by putting a back into the original Pythagorean Theorem formula ([tex]a^{2} +b^{2} =c^{2}[/tex]):

Steps

-Plug a, b, and c into the formula [tex]a^{2} +b^{2} =c^{2}[/tex]:

[tex](9)^{2} +(12)^{2} =(15)^{2}[/tex]

-Simplify to get:

[tex]81+144=225[/tex]

-Add:

[tex]225=225[/tex]  This is very true. So our answer is correct.

ANSWER: [tex]a=9[/tex]

Sorry for the long explanation, but I hope you understand and that this helps with your question! :)

Answer:

Step-by-step explanation:

lets make is short and simple

Pythagorean theorem: a² + b² = c²

a² + 12² = 15²

a² = 15² - 12²

a = √81

a = 9

Answer:

0.6 over 0.6. Or just 1.

Step-by-step explanation:

Answer:

f(2)= -1

Step-by-step explanation:

f(2)=-3(2)+5= -6+5= -1

Answer:

-1

Step-by-step explanation:

f(x)=-3x+5

f(2)= -3(2)+5

=-6+5 = -1

Answer:

C

Step-by-step explanation:

This is your answer because when you do the math you get c as your answer.

Hope this help:)

pls mark brainly

Answer:

The answer is C

Step-by-step explanation:

You had $72.31 at the beginning of the month but you deposited $11.27 and $14.76 so if you add all of those you get $19.84

Have a great day!

Please consider marking brainliest

^-^

Answer:

it's A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Just got it correct

Answer:

x = 6

∠2 = 75

Step-by-step explanation:

In the given triangle two sides are equal and so it is an isosceles triangle. So, the angles opposite to equal sides are equal

11x + 9 + 11x + 9 + 30 = 180   {Angle sum property of triangle}

      11x + 11x + 9 +9 +30 = 180

                     22x + 48   = 180

                            22x    = 180 - 48

                               22x = 132

                                   x = 132/22

                                  x = 6

∠2 = 11*6 + 9 = 66 +9 = 75

Answer:

8500 meters

Step-by-step explanation:

5 100

   170

Answer:

Step-by-step explanation:

if we have 137 students, and out of this number 7 were in cars

137-7=130 students in buses

there are 5 buses

130/5=26

26 students in each bus

Answer/Step-by-step explanation:

WX: 4.47

[tex]4^{2} + 2^{2} = 20\\\sqrt{20} = 4.47[/tex]

XY: 3.61

[tex]3^{2} + 2^{2} = 13\\\sqrt{13} = 3.61[/tex]

YZ: 4.12

[tex]1^{2} + 4^{2} = 17\\\sqrt{17} =4.12[/tex]

WZ: 4.24

[tex]3^{2} + 3^{2} = 18 \\\sqrt{18} = 4.24[/tex]

The slopes of the lines are:

WX = 2

XY = -1.5

YZ = 4

WZ = -1

Given is a polygon on a coordinate plane with vertices =

W = (-5, 1)

X = (-3, 5)

Y = (-1, 2)

Z = (-2, -2)

We need to find the slopes of line =

WX, XY, YZ and WZ

To find the slopes of the lines connecting the vertices of the polygon, we can use the formula for the slope between two points (x₁, y₁) and (x₂, y₂):

slope = (y₂ - y₁) / (x₂ - x₁)

Let's calculate the slopes for each line:

1) Slope of line WX:

W = (-5, 1)

X = (-3, 5)

slope(WX) = (5 - 1) / (-3 - (-5))

= 4 / 2

= 2

So, the slope of line WX is 2.

2) Slope of line XY:

X = (-3, 5)

Y = (-1, 2)

slope(XY) = (2 - 5) / (-1 - (-3))

= -3 / 2

= -1.5

So, the slope of line XY is -1.5.

3) Slope of line YZ:

Y = (-1, 2)

Z = (-2, -2)

slope(YZ) = (-2 - 2) / (-2 - (-1))

= -4 / (-1)

= 4

So, the slope of line YZ is 4.

4) Slope of line WZ:

W = (-5, 1)

Z = (-2, -2)

slope(WZ) = (-2 - 1) / (-2 - (-5))

= -3 / 3

= -1

So, the slope of line WZ is -1.

Therefore, the slopes of the lines are:

WX = 2

XY = -1.5

YZ = 4

WZ = -1

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Answer:

y = + 4

Step-by-step explanation:

I used an online algebra calculator to check my answer, so you can trust that this is correct.

Answer:

y=x+4

Step-by-step explanation:

2y=2x+8

Divide everything by 2y

y=x+4

Answer:

It would be a obtuse triangle instead

Step-by-step explanation:

By using pythagorean and theorem (a^2 + b^2 = c^2)

So it would be 13^2___2^2 + 12^2

When you square them, you get 169___4 + 144

144 + 4 = 148, which is less than 169

SO it would be 169>148

So no, not a right triangle

Answer:

3 water bottles

Step-by-step explanation:

25-10=15

15/5=3

Answer:

(x - 4)(x + 4)(x - 1)(x + 1)

Step-by-step explanation:

Given

[tex]x^{4}[/tex] - 17x² + 16

Use the substitution u = x², then

u² - 17u + 16

Consider the factors of the constant term (+ 16) which sum to give the coefficient of the u- term (- 17)

The factors are - 16 and - 1, then

u² - 17u + 16

= (u - 16)(u - 1) ← replace u by x²

= (x² - 16)(x² - 1) ← both factors are difference of squares

= (x - 4)(x + 4)(x - 1)(x + 1)

Answer: -18

Step-by-step explanation: x4-17x2+16= -18

i am not completely sure but here. i hope this helps god bless

Answer:

17

Step-by-step explanation:

Use the Pythagorean Theorem, [tex]a^{2} +b^{2} =c^{2}[/tex]

In this situation, you would use the equation as [tex]8^{2} +15^{2} =x^{2}[/tex]