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3 years ago

8

HELP! I'm really confused.

1 answer:

harina [27]3 years ago

3 0

18 feet and 1 once because there is a 8 inch difference between the boys height and his shadows height so it would be the same difference for the telephone pole making it 18 feet and 1 inch. :)

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On a coordinate plane, the segment with endpoints (10, 40) and (70, 120) is

OlgaM077 [116]

Answer:

The length of the resulting segment is 500.

Step-by-step explanation:

Vectorially speaking, the dilation is defined by following operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation.

$P(x,y)$ - Original point.

$k$ - Scale factor.

$P'(x,y)$ - Dilated point.

First, we proceed to determine the coordinates of the dilated segment:

( $P(x,y) = (10, 40)$ , $Q(x,y) = (70, 120)$ , $O(x,y) = (0,0)$ , $k = 5$ )

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$

$P(x,y) = (0,0) +5\cdot [(10,40)-(0,0)]$

$P'(x,y) = (50,200)$

$Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]$

$Q' (x,y) = (0,0) +5\cdot [(70,120)-(0,0)]$

$Q'(x,y) = (350, 600)$

Then, the length of the resulting segment is determined by following Pythagorean identity:

$l_{P'Q'} = \sqrt{(350-50)^{2}+(600-200)^{2}}$

$l_{P'Q'} = 500$

The length of the resulting segment is 500.

3 0

3 years ago

John cut a paper square with a perimeter of 18 inches into two rectangles. The perimeter of one of the rectangles is 10 inches.

Lady_Fox [76]

Answer:

13.5 inches

Step-by-step explanation:

Perimeter of the paper square = 18inches

Perimeter of a square = 4s

4s = 18 inches

s = 18/4 = 4.5 inches

Therefore, each side of the square = 4.5 inches.

When the square is cut into 2 rectangles,

The perimeter of one of the rectangles is 10 inches.

Perimeter of the second rectangle = 2L + 2W

Let the length of the rectangle (L) = one side of the square = 4.5 inches

Width of the Rectangle = Length of the square/2 = 4.5 inches/ 2 = 2.25

Perimeter of the second rectangle = 2(4.5) + 2(2.25)

= 9 + 4.5

= 13.5 inches

4 0

3 years ago

I need help!!! please help me out as quick as possible

kvv77 [185]

Answer:

D

Step-by-step explanation:

Given

$a_{n}$ = $4^{n-1}$ , then

$a_{10}$ = $4^{(10-1)}$ = $4^{9}$ = 262144 → D

8 0

4 years ago

Solve the equation.then check your solution 1.6a= -9.12

finlep [7]

I believe it would be negative 5.7

8 0

3 years ago

Read 2 more answers

there are 6 married couples at a party. at the start of the party every person shakes hands once with every other pserson except

mestny [16]

Answer:

60 hand shakes.

Step-by-step explanation:

We have been given that there are 6 married couples at a party.

This means there are 12 people in total.

We know that number of handshakes for n people is given by formula $\frac{n(n-1)}{2}$ .

We are also told that at the start of the party every person shakes hands once with every other person except his or her spouse.

So formula for this problem would be $\frac{n(n-1-1)}{2}$ or $\frac{n(n-2)}{2}$ .

Since total numbers of people is party is 12, so we will get:

$\frac{12(12-2)}{2}$

$6*10$

$60$

Therefore, there will be 60 hand shakes at the party.

4 0

3 years ago