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zysi [14]
3 years ago
15

A building has a shadow that is 18 feet long. Will is 5 feet tall and he is standing next to the building. Will has a shadow tha

t is 3 feet long. Use this information to complete the statement about the building.

Mathematics
2 answers:
Irina-Kira [14]3 years ago
7 0
5*18=90
3*x=90
X=90/3
X=30
Vera_Pavlovna [14]3 years ago
6 0

Answer:

The height of the building is 30feet

Step-by-step explanation:

The question is wrong. The sentence ''Use this information to complete the statement about the building'' should be ''What is the height of the building?''

In order to find the height of the building, I add a graph to this exercise.

We can state that exists a linear relationship between the height of the objects and its shadows.

By looking at the graph, we can write the following linear relationship :

\frac{x}{18ft}=\frac{5ft}{3ft}

If we want to find the height ''x'' of the building :

x=(\frac{5ft}{3ft}).18ft=30ft

x=30ft

We find that the height of the building is 30ft

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Ciara and Marcus are running a team relay race. Ciara runs twice as far as Marcus. Together they run 27 miles. How far did each
Mice21 [21]
Each person ran 13.5 miles
4 0
3 years ago
PLS HELP AND SHOW WORK I WILL GIVE BRAINLIEST + EXTRA POINTS WHOEVER SHOWS WORK......
andreyandreev [35.5K]

Answer:

1) b =

\frac{13}{3}

2)m = -2.5

3)y = 15

4)x=2

Step-by-step explanation:

  1. subtract 8b from both sides
  2. subtract 2 from both sides
  3. divide both sides by 3
  4. Substitute this value into the equation and if both sides are equal then it is the solution.

2)Simplifying

7m + 32 = 12 + -1m

Reorder the terms:

32 + 7m = 12 + -1m

Solving

32 + 7m = 12 + -1m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add 'm' to each side of the equation.

32 + 7m + m = 12 + -1m + m

Combine like terms: 7m + m = 8m

32 + 8m = 12 + -1m + m

Combine like terms: -1m + m = 0

32 + 8m = 12 + 0

32 + 8m = 12

Add '-32' to each side of the equation.

32 + -32 + 8m = 12 + -32

Combine like terms: 32 + -32 = 0

0 + 8m = 12 + -32

8m = 12 + -32

Combine like terms: 12 + -32 = -20

8m = -20

Divide each side by '8'.

m = -2.5

Simplifying

m = -2.5

3)Simplifying

16 + -5y = 1 + -4y

Solving

16 + -5y = 1 + -4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4y' to each side of the equation.

16 + -5y + 4y = 1 + -4y + 4y

Combine like terms: -5y + 4y = -1y

16 + -1y = 1 + -4y + 4y

Combine like terms: -4y + 4y = 0

16 + -1y = 1 + 0

16 + -1y = 1

Add '-16' to each side of the equation.

16 + -16 + -1y = 1 + -16

Combine like terms: 16 + -16 = 0

0 + -1y = 1 + -16

-1y = 1 + -16

Combine like terms: 1 + -16 = -15

-1y = -15

Divide each side by '-1'.

y = 15

Simplifying

y = 15

4)Simplifying

2x + -8x + 1 = 9 + -10x

Reorder the terms:

1 + 2x + -8x = 9 + -10x

Combine like terms: 2x + -8x = -6x

1 + -6x = 9 + -10x

Solving

1 + -6x = 9 + -10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10x' to each side of the equation.

1 + -6x + 10x = 9 + -10x + 10x

Combine like terms: -6x + 10x = 4x

1 + 4x = 9 + -10x + 10x

Combine like terms: -10x + 10x = 0

1 + 4x = 9 + 0

1 + 4x = 9

Add '-1' to each side of the equation.

1 + -1 + 4x = 9 + -1

Combine like terms: 1 + -1 = 0

0 + 4x = 9 + -1

4x = 9 + -1

Combine like terms: 9 + -1 = 8

4x = 8

Divide each side by '4'.

x = 2

Simplifying

x = 2

8 0
3 years ago
3.20 × 105 gallons of tar (SG = 1.20) is stored in a 20.0-ft tall storage tank. What is the total mass of the liquid in the tank
lilavasa [31]

Answer:

Mass of the liquid in the tank will be 1.45\times 10^8kg

Step-by-step explanation:

We have given volume of tar V=3.20\times 10^5gallon

1 gallon = 3.785 liter

So 3.20\times 10^5gallon=3.20\times 10^{5}\times 3.785=12.112\times 10^5liter

Specific gravity = 1.2

Density of water =1000kg/m^3

We know that specific gravity =\frac{density\ of\ liquid}{density\ of\ water}

1.2=\frac{density\ of\ liquid}{density\ of\ water}

Density of liquid =1200kg/m^3

So mass of liquid = volume × density

= 12.112\times 10^5\times 1200=1.45\times 10^8kg

So mass of the liquid in the tank will be 1.45\times 10^8kg

6 0
3 years ago
Can someone help me find the diameter? <br><br> also what is a diameter even?
lukranit [14]

Answer:

24

Step-by-step explanation:

area of circle = πr²

πr² = 144π

Cancel out π

r² = 144

r = √144

r = 12

diameter = 2 x radius

diameter = 2 x 12

diameter = 24m

* diameter is the "width of a circle", the distance from the widest points of the circle

3 0
2 years ago
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