Derek wants to determine the height of the top of the backboard on the basketball goal at the playground. He places a standard 12-inch ruler next to the goal post and measures the shadow of the ruler and the backboard. If the ruler has a shadow of 10 inches and the backboard has a shadow of 7 feet, then how high is the top of the backboard?
A.
9.41 feet
B.
8.4 feet
C.
9.66 feet
D.
6.63 feet

Answers

Answer 1
7 ft = 7 x 12 = 84 inches

If 12 inches ruler gives a shadow of 10 inches
Then 84 inch shadow of backboard is actually ;

12 : 10 x = 100.8 inches which is =
x : 84. 8.4 ft
So answer is B

Related Questions

Foster is centering a photo that is 1 1/2 inches wide on a scrapbook page that is 16 inches wide. How far from each side of the page should he put the picture? Enter your answer as a mixed number.

Answers

1 1/2:16 and solve {pic provided)

Hi does anyone wanna do a math homework assignment? it involves volume and algebra (I'm in alg2/trig)

Answers

[tex]\huge\bold\green{Answer:-}[/tex]

Area. The amount of space covered by a two-dimensional object; the amount of carpet you'd need to cover a floor would depend on the floor's area.

Perimeter. The distance around a two-dimensional object; the amount of fence you'd need to surround your yard equals the perimeter of your yard. (The perimeter of a circular object is called the circumference.

Volume. The amount of three-dimensional space inside an object; the amount of liquid inside a soda can represents the can's volume.

Surface area. Measures the amount of "skin" needed to cover a three-dimensional object, neglecting its thickness; the amount of siding you'd need to completely cover a house represents the surface area of that house's walls.

Description Formula Variables

Area of a rectangle A = l · w l = length, w = width

Perimeter of a rectangle P = 2(l + w) l = length, w = width

Area of a circle A = r2 r = radius of circle

Circumference of a circle C = 2r r = radius of circle

Volume of a rectangular solid V = l · w · h l = length, w = width, h = height

Volume of a cylinder V = r2h r = radius; h = height

Surface area of a cube SA = 6l2 l = length of side

[tex]\huge\pink{₣ØⱠⱠØ₩ \: ₥Ɇ}[/tex]

A team of players are planning to prepare a t-shirt for their next season of games. The team has 13 members and each member will have 2 t-shirts. (a)If a t-shirt costs Rs. 375, what will be the total cost of the t-shirts for the team?(b)A sponsor agrees to pay Rs. 7020 out of the total cost of the t-shirts. The balance amount will be paid by each player. How much will be paid by each player?

Answers

Answer:

Rs. 210

Step-by-step explanation:

Given that a t-shirt cost Rs. 375,

then 2 t-shirt will cost Rs. 375*2

=Rs.750

a. the total cost will be

 13*750

=Rs.9750

b. a sponsor pays Rs.7020

  there will be a deficit of

  9750-7020

=2730

since there are 13 players each player will pay

2730/13

Rs. 210

A kilogram of potatoes cost $25.A dozen bananas cost $40.

a) Write an algebraic expression for the total cost of n kilograms of potatoes and one dozen bananas.

b) Evaluate your expression to determine the cost of 15kg of potatoes and one dozen bananas​

Answers

Answer:

a) T = 25n + 40

b) T = $415

Step-by-step explanation:

The total cost of 'n' kilograms of something can be expressed as 'n' multiplied by the cost, since it is a constant cost per unit. Therefore the price for n kg of potatoes can be expressed as 25n. We are also told that a dozen bananas cost $40, so our expression is the cost of potatoes added to the cost of bananas. So, is we use 'T' for total cost, our expression will look like this:

T = 25n + 40

Now we can use this expression to find the cost of 15kg of potatoes and the same amount of bananas. We can do this by simply substituting the given amount for n:

T = 25(15) + 40

T = 375 + 40

T = $415

The cost of 15kg of potatoes and one dozen bananas is $415.

Hope this helped!

Solve for x.

please help

x =

Answers

Answer:

x = 1

Step-by-step explanation:

1 + 24x + 105 + 51x - 1 = 180

75x = 75

x = 1

Help me please! I’ve been stuck on this forever:(

Answers

Positive

( -1/6 ) ( -2 ) ( -3/5 ) ( -9 )

( 3 ) ( -3 ) ( -3 ) ( -3 ) ( -3 )

( -2 3/4 ) ( -1 1/5 )

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

Negative

( -4/9 ) ( 7/4 )

( -4/7 ) ( -3/5 ) ( -9 )

( -10/7 ) ( 8/3 )

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

Hope this helps! <3

The formula D= m/v gives the density, D, in grams per cubic centimeter, for an object of mass, m, in grams, and a volume, V, in cubic centimeters.
Which of the following can be used to determine the volume of a mineral samples?
V=D/m
V=m/D
V=Dm
V=D-m

Answers

Answer:

v d m because I got the answer from gogjle

If α , β are roots of x2 + 5x + a =0 and 2α + 5β = -1 then α is equal to _____?

Answers

9514 1404 393

Answer:

  -8

Step-by-step explanation:

If α and β are roots of x^2 +5x +a = 0, then we must have ...

  (x -α)(x -β) = x^2 +5x +a

  x^2 -(α+b)x +αβ = x^2 +5x +a

Then ...

  α + β = -5

Together with the other relation between the roots, we have a system of equations in α and β.

Using the above to write an expression for β, we get ...

  β = -α -5

Substituting this into the given relation, we have an equation for α:

  2α +5(-α -5) = -1

  -3α -25 = -1 . . . . . . eliminate parentheses

  -24 = 3α . . . . . . . . add 3α +1

  -8 = α

The root α is equal to -8.

You add 4 drops of food coloring to 2 cups of white frosting and get the orange frosting above. Francisco wants his frosting to be the same color as yours, but he has 5 cups of white frosting. He doesn't know how many drops of orange food coloring to add.

Answers

Answer:

Francisco will add 10 drops of food coloring to 5 cups of white frosting and get the orange frosting

Step-by-step explanation:

4 drops of food coloring to 2 cups of white frosting and get the orange frosting.

He has 5 cups of white frosting. He doesn't know how many drops of orange food coloring to add

Let x = drops of food coloring he will add

Drops of food coloring : cups of white frosting

4 : 2 = x : 5

4 / 2 = x / 5

Cross multiplication

4 * 5 = 2 * x

20 = 2x

Divide both sides by 2

x = 20 / 2

= 10

x = 10 drops of food coloring

Therefore, Francisco will add 10 drops of food coloring to 5 cups of white frosting and get the orange frosting

Solve the following:
1. 2(x+3)=x-4
2. 4(5x-2)=2(9x+3)
Please show working

Answers

Answer:

1. 2(x+3)=x-4 x=-10

2. 4(5x-2)=2(9x+3)  x=7

Step-by-step explanation:

1. 2(x+3)=x-4

2x+6=x-4

2x=x-10

x=-10

2. 4(5x-2)=2(9x+3)

20x-8=18x+6

20x=18x+14

2x=14

x=7

Answer:

1) x=-10

2)x=7

Step-by-step explanation:

1.

[tex]2(x+3)=x-4\\\\2(x)+2(3)=x-4\\\\2x+6=x-4\\\\2x+6-x=-4\\\\x+6=-4\\\\x=-4-6\\\\x=-10\longleftarrow[/tex]

2.

[tex]4(5x-2)=2(9x+3)\\\\4(5x)+4(-2)=2(9x+3)\\\\20x-8=2(9x+3)\\\\20x-8=2(9x)+2(3)\\\\20x-8=18x+6\\\\20x-8-18x=6\\\\2x-8=6\\\\2x=6+8\\\\2x=14\\\\x=7[/tex]

PLEASE HELP ASAP WILL MARK BRAINLIEST!!


Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Solve the equations for x and match the solutions.

Answers

Answer:

1.  -6/A

2. 6/A

3. 3/A

A whole number k is greater than 3. Which of the following is true about k/3?

Answers

Answer:

D) It is greater than 1.

Step-by-step explanation:

Since k is greater than 3, it could not be between 0 and 1/3 and also could not be between 1/3 and 1

We also know that it is not equal to 1 because it is greater than 3.

Therefore, it is greater than 1.

A neon light flashes five time every 10 seconds. show that the lighy flashes 43200 tines in one day.​

Answers

Step-by-step explanation:

There are 60 * 60 * 24 =  86400 seconds in a day

if the light flashes 5 times every 10 seconds, that means it flashes once every 2 seconds.

It follows the flashes in a day are 86400 / 2 = 43200

Jimmy sells cookies in bags of dozen cookies for $4.50. If the cost varies directly to the number of
cookies, how much would it cost for a bag containing 30 cookies?

Answers

Answer:

I'm pretty sure it would cost $11.25 since 6 cookies would be $2.25 if you divide the amount for a dozen in half. I hope it was right!

Step-by-step explanation:

What is the answer to this question? If x=y, then 6x=6y

Answers

Answer:

This is a true statement. I think that's what you're asking.

Step-by-step explanation:

It is true because if x=y, than 6x=6y because both sides have a 6 and x=y

The owners of a golf course hired a company to determine how many squirrels were living on their property. First, the company put marks on 22 squirrels. Later, the company returned and counted a total of 220 squirrels, of which 11 were marked. To the nearest whole number, what is the best estimate for the squirrel population?

Answers

Answer:

Squirrel population is 440 squirrels.

Step-by-step explanation:

It is given that there are 22 squirrels are marked.

Later the company returned and counted a total of 220 squirrels of which are marked were 11.

So, we can set up proportional equation to find the squirrel population.

Let squirrel population is x.

We can set up proportional equation as

[tex]\frac{11}{220}=\frac{22}{x}[/tex]

Cross multiply

11 x=4840

Divide both sides by 11

x=440

Best estimate is 440.

Meadow is growing her hair out. The graph below shows how much her hair has grown over the last 8 months.



Which of the following shows the rate at which Meadow's hair is growing?

A.) 4 inches per month

B.) 0.50 inch per month

C.) 0.25 inch per month

D.) 2 inches per month

Answers

Probably D, Sorry if I’m wrong. Math is hard

Alyssa’s lemonade recipe calls for 9 lemons for every 2.5 gallons of water. Brian’s recipe calls for 12 lemons for every 4 gallons of water. Whose lemonade will require more water if they each use 36 lemons? . can you help me

Answers

Answer:

Alyssa’s lemonade recipe

Step-by-step explanation:

→ Work out how much lemons is needed per gallon for Alyssa’s lemonade recipe

9 lemons = 2.5 gallons

(÷ 2.5)      =     (÷ 2.5)

3.6 lemons = 1 gallon

→ Work out how much lemons is needed per gallon for Brian’s lemonade recipe

12 lemons = 4 gallons of water

(÷ 4)            =    (÷ 4)

3 lemons = 1 gallon of water

→ Now compare

Alyssa’s lemonade recipe ⇒ 3.6 lemons = 1 gallon

Brian’s lemonade recipe ⇒ 3 lemons = 1 gallon of water

Brian's lemonade recipe requires more water.

Alyssa uses 10 gallons of water for 36 lemons. Brian uses 12 gallons of water for 36 lemons. Therefore Brian's lemonade recipe requires more water.

If DM = 45, what is the value of r?
r +3
4r - 28

A 12
B 13
C. 14
D. 15

Answers

Answer:

-7 i hope this right

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

GCF = 44

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

4(\frac{4r}{4}-\frac{28}{4})4(

​4

​4r

​​ −

​4

​28

​​ )

3 Simplify each term in parentheses.

4(r-7)4(r−7)

Answer: 14

Step-by-step explanation:

Got it right in a test ‍

can some help me please​

Answers

Answer:

C

Step-by-step explanation:

Tonya wrote the equation below which solves for x.

x = 150 minus 6 y

Which equation is equivalent to Tonya’s equation?
x + 150 = 6 y
x + 6y = 150
2x + 3y = 75
2 x minus 3 y = 75

Answers

Given parameters:

    x = 150 minus 6 y

Interpreting this gives;

    minus = subtraction  = -

 

        x  = 150 - 6y

Now bring the variables together;

                    x + 6y  = 150

The option that matches with this equivalent.

The other choices are wrong;

   

   a,  x + 150 = 6 y

           x - 6y = 150   wrong

 c. 2x + 3y = 75   mulitply through by 2;

      2(2x + 3y) = 2(75)

        4x + 6y  = 150      wrong

   d. 2x - 3y = 75

    Multiply by 2;

     2(2x -3y) = 2(75)

      4x - 6y = 150

Answer:

x+6y = 150 (B)

Step-by-step explanation:

Multiply 3 3/8 * 4 1/3

Answers

Answer:

14 5/8

Step-by-step explanation:

give a heart if this was helpful

Answer:

I think its 4.5 but I could be wrong :)

Help me with (-6,-7);y=-4x+1

Answers

Answer: y=-4x-31

Step-by-step explanation:

To find a ling that is parallel to the given line and passes through the given point, we need to use the given point. We know that the slope MUST stay the same because parallel lines NEVER touch. All we have to do is plug in the point and find the y-intercept.

-7=-4(-6)+b            [multiply]

-7=24+b                 [subtract both sides by 24]

b=-31

Now, we know that y=-4x-31 is the equation.

Number expressed as a value between 1 and 10 multiplied by a power of 10.

A. scientific notation
B. scientific theory
C. scientific model
D. scientific methods
E. scientific law

Answers

Answer:

A. scientific notation

Step-by-step explanation:

Number expressed as a value between 1 and 10 multiplied by a power of 10

It is called

A. scientific notation

General form is: a×10^b, where a- is a number between 1 and 9, b- is an integer

HURRY PLZ IM ON A TIME LIMIT!!!!

Answers

Answer:

23°

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

The figures in the pair are similar. Find the missing length.

Answers

Answer:

c. 9 cm

Step-by-step explanation:

4*1.5=6

6*1.5=9

y=9

Please help I’ll give brainiest!!

Answers

I've got it!! So domain is x valued and range is y. Domain would be -3 ≤ x < 4 and range would be 1 < f(x) ≤ 6, I'm pretty sure !! because f(x)=y :))

Answer:

Domain x is -3 to 4 but not 4 Range y is 6 to 1 but not 1

Step-by-step explanation:

Open dot means not included closed means included

All of the following expressions have the same value, except . . .

- -
-
- + -
- -

Answers

Answer:

-

Step-by-step explanation:

- - = +

- = -

- + - = +

- - = +

they're all positive except the second one.

Answer:

there's no expressions, just plus and minus signs-

Step-by-step explanation:

What is the value of n in the equation in = 9?
n =

Answers

Answer:

n=0

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

It is n=0 I just know it

Please help me out! Will mark brainliest!

Answers

Answer:

Add -3+8

Step-by-step explanation:

You would do this first because it is in the brackets. Usually you would do (*) first but those are just there because the 4 is negative and if they were not there it would get confusing and look like this::[-3+8]--4. So the next step would be the [*].

HOPE THIS HELPS!!!

Answer:

Use PEMDAS

Step-by-step explanation:

Parenthesis, If there are none move on to exponents if there are no exponents move to multiplication. No multiplication? use division. If you dont see division use addition and lastly if there is no addition use subtraction. In the equation, it looks like you have to make the -3 and 8 positive. So, since the -4 is in the parenthesis(P) multiply(M) 4 by 3 and 8 once the three is positive. So your final answer would be either C or D

Its the best i could do but good luck. I tried...

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