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3 years ago

6

The bottom of a ladder must be placed 5 feet from a building. the ladder is 14 feet long. how far above the ground does the ladd

er touch the wall?

1 answer:

Kryger [21]3 years ago

6 0

Check the picture below.

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Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

10

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

2 years ago

What is the distance between the following points?

PilotLPTM [1.2K]

Answer :

right : 9,7
left :-2,7

5 0

1 year ago

Which fraction is greater than - 5/12<br><br> -2/3<br><br> -2/5<br><br> -13/18<br><br> -3/4

ZanzabumX [31]

The correct answer would be : -2/5

I hope that this helps you !

5 0

2 years ago

Read 2 more answers

Name the slope and one point that is on the line

Alekssandra [29.7K]

Answer: Choice A

m = undefined

point (-2,5)

==================================================

Explanation:

The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)

Another point on this line is (-2,5) since this also has x coordinate -2.

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

All vertical lines have undefined slope.

Let's pick two points such as (-2,0) and (-2,1) and find the slope through them

m = (y2-y1)/(x2-x1)

m = (1-0)/(-2-(-2))

m = (1-0)/(-2+2)

m = 1/0

m = undefined, since we cannot divide by zero.

7 0

3 years ago

Billy is 3 feet 6 inches tall. Billy’s stuffed bear is 14 inches tall. What is the ratio of Billy’s height to the height of his

shusha [124]

Answer:

42:14

Step-by-step explanation:

3x12=36 in

36+6=42 in

4 0

2 years ago

Read 2 more answers