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ehidna [41]
3 years ago
6

Jason is 6 feet tall, and at 6 pm, his shadow was 15 feet long. At the same time, a tree next to Jason had a 25-foot shadow. Wha

t is the height, in feet, of the tree?
Mathematics
1 answer:
IRISSAK [1]3 years ago
3 0

Answer:

10

Step-by-step explanation:

set up a ratio problem

6 feet/15 long shad= x/25 shad

15x = 150

x = 10

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I wish to have $10,000 at the end of 8 yers in a bank offering a simple interest rate of 7.5% per year. How much should I deposi
kolezko [41]

Answer:

You have to invest  $6,250

Step-by-step explanation:

very simple applying the simple interest formula which is

A = P (1 + rt)

Given data

A, final amount =  $10,000

P, initial principal balance=  ?

r, annual interest rate = 7.5%

t, time (in years)= 8 years

we can substitute our given data to find the principal needed.

10000= P(1+0.075*8)\\\10000= P(1.6)\\\

Divide both sides by 1.6 we have

P= \frac{10000}{1.6} \\\P= 6250

P= $6,250

3 0
3 years ago
Can someone help me with part c I really don’t get it
ikadub [295]
Here is the answer , and the explanation is written with it .

6 0
3 years ago
What is the ratio of boys to girls in Mrs. Carlton's class, which has a total of 31 students, 14 of whom are girls?
saw5 [17]

Answer:

17:14 or 17 to 14

Step-by-step explanation:

since you know there are 14 girls, subtract 14 from 31 and then you'll get 17. since its asking for a ratio of boys to girls not girls to boys, you put boys first, then girls. so your answer will be 17:14

8 0
3 years ago
A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 36 square feet larger than that
Korvikt [17]

Answer:

  • rectangle: 12 ft × 24 ft
  • square: 18 ft square

Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

<h3>Setup</h3>

Let x represent the side length of the square. Then its area is x², and the area of the rectangle is (x² -36).

This area is the product of length and width. The expression factors as ...

  rectangle area = x² -36 = (x +6)(x -6)

<h3>Solution</h3>

If we assume these factors are the dimensions of the rectangle, then the longer dimension is twice the shorter one:

  (x +6) = 2(x -6)

  18 = x . . . . . . . . . add 12-x to both sides

This is the side length of the square. The rectangle dimensions are ...

  x+6 = 18+6 = 24 . . . . feet long

  x -6 = 18 -6 = 12 . . . . feet wide

The rectangle is 12 feet wide and 24 feet long. The square is 18 feet on a side.

__

<em>Additional comment</em>

The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

<em>Alternate solution</em>

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

  9/4x² -2x² = 36 = x²/4   ⇒   x = √(36·4) = 6·2 = 12 . . . . width of rectangle

8 0
1 year ago
What is the x-coordinate of the point that can be plotted on the graph between (6, 2) and (12, 4) that is part of this set of eq
vampirchik [111]

Answer:

zero is the point between ( 6,

2 )and( 12,4)

8 0
3 years ago
Read 2 more answers
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