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Katen [24]
3 years ago
5

A boy, who is 5 ft. 6 in. tall, casts a shadow 2 ft long. Find the height of the pole if it casts a shadow 2 yards long.

Mathematics
2 answers:
lianna [129]3 years ago
8 0

Answer:

198 in.

Step-by-step explanation:

GalinKa [24]3 years ago
6 0

1 yard = 3 feet

2 yards = 6 feet

2 feet * 3 = 6 feet

 so 5.5 ft * 3 = 16.5 feet, so pole is 16 feet 6 inches

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nadezda [96]
Y=mx+b is the equation we must fill out, with x and y being their respective coordinates, m being the slope, and b being the y-intercept. The y intercept will be at (0, y), and the beginning of this problem already gives us the y-intercept: -4.

We now know y=mx-4. To find the slope, m, we’ll plug in one of the coordinates: (5, 1). The new equation is 1=m(5)-4. Solve this to get 5=m(5), and then m=1.

Now that we know the slope and y-intercept, we can conclude that the equation is y=x-4.
8 0
3 years ago
Solve the systems of equations through elimination, show work<br> 3+2x-y=0<br> -3-7y=10x
Wittaler [7]

Answer: x=-1 y=1

Step-by-step explanation:

solve y in 3+2x-y=0

y=3+2x

sub y=3+2x into -3 -7y=10x

-14x- 24= 10x

solve x in -14x-24=10x

x= -1

sub x= -1 into y =3+2x

y=1

so therefore x= -1 and y=1

7 0
2 years ago
The government plans to build 75,000 new homes. 1/5 of the new homes will be built in a city near you. How many is that?
laiz [17]
The answer is 15,000 because 75000/5 = 15000.
4 0
4 years ago
A room has a rectangular floor that is 15 feet by 21 feet. What is the area of the floor in square yards ? ​
Soloha48 [4]

Answer:

Hey There!

Let's solve...

Here it is a rectangular floor with length =21 cm and width =15cm

So

area = l \times w \\  = 21 \times 15 \\  = 315 {ft}^{2} \\  \\

So now We need to convert it to yards square

315ft^{2} \times  \frac{ {1yd}^{2} }{ {9ft}^{2} } \\  \\  =  \cancel{315ft^{2}}  \: ^{35}  \times  \frac{ {1yd}^{2} }{ \cancel{9 {ft}^{2} }}  \\  \\  = 35 {yd}^{2}

So how this 9 ft^2 came??

Let's know

ft \to \: yards \\  \\ 3ft = 1yd \\  \\  {3ft}^{2} =  {1yd}^{2}  \\  \\  \boxed{ {9ft}^{2} =  {1yd}^{2}}

<h2>I hope it is helpful to you...</h2><h3>Cheers!_______</h3>
8 0
3 years ago
Read 2 more answers
What is the probability that a passenger prefers to sit in front of the plane and prefers a window seat
Ksenya-84 [330]

Answer:

A

Step-by-step explanation:

This is a probability question.

We want to calculate the probability that a passenger prefers to sit in front of the plane and at a window seat.

The answer here is directly obtainable from the table. Let’s take a look at that point where we have the front and window merging. We can see that the figure here is 8

Thus, the probability that we want to calculate is this figure over the total = 8/36

= 2/9

6 0
3 years ago
Read 2 more answers
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