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3 years ago

The foot of a ladder is placed 6 feet from a wall if the top of the ladder rests 8 feet up on the wall how long is the ladder?

2 answers:

5 0

10. You would need to use pythagorean theorem (a^2+b^2=c^2). So it is 6^2+8^2=c^2. Then it is 36+64=c^2. Next, 100=c^2. Square root 100. Answer is 10.

Vlada [557]3 years ago

4 0

Try to imagine this word problem, there is a wall and a ladder leaning against it, the space from the bottom of the ladder is labeled 6 and the length of the height the ladder reaches on the wall is 8. Imagine this as a right triangle now, where the length of the ladder is the hypotenuse and the length of the legs of the triangle is 6 and 8. Because we know this, we can use the Pythagorean theorem, a^2+b^2=c^2
We then plug in the values and you get 6^2+8^2=c^2
When you simplify, you get 36+64=c^2 which is c^2=100
When you solve for c, you get c=10 which would be the length of the ladder :)

You might be interested in

You have 400 feet of fencing to enclose a rectangular plot. Find the length and width of the plot that will maximize the area. W

3241004551 [841]

Well, we can denote L and W for the length and width respectively. Lets say the A is the area, we have: 1. A=(L × W) as well as 2. 2(L+W)=400. We rearrange the second equation to get 3. W=200-L. From this, we can see that 0<L<200. Substitute the third equation into the first to get A=(200L-L²). put this formula into the scientific calculator and you will find a parabola with a maximum. That would be the maximum area of the enclosed area. Alternatively, we can say that L is between 0 and 200 when the area equals 0. (The graph you find will be area against length). As the maximum is generally found halfway, we substitute 100 into the equation and we end up with 10000.

Hope this helps.

6 0

3 years ago

Your neighbor needs to put a fence around her front yard and a seperate fence around her backyard. Her front yard is 65 feet lon

elena-14-01-66 [18.8K]

Front yard
65+65+45+45=220
Back yard
45+45+35+35=160
220+160=380
380 feet

5 0

3 years ago

The Gallup Poll uses a procedure called random digit dialing, which creates phone numbers based on a list of all area codes in A

kondaur [170]

Random digit dialing (RDD) is a method for selecting people for involvement in telephone statistical surveys by generating telephone numbers at random. Random digit dialing has the advantage that it includes unlisted numbers that would be missed if the numbers were selected from a phone book.

5 0

3 years ago

Read 2 more answers

What is the sum of the interior angles

galben [10]

Answer:

The sum of the interior angle is 108°

Step-by-step explanation:

To find the sum of the interior angle, you need this equation:

$\frac{180(n-2)}{n}$ (The variable $n$ represents the number of sides does a shape have).

-Count the sides of the shape:

The following polygon shown, has 5 sides.

-After you have the number of sides of the polygon, use the number of sides for the equation and it will be written as:

$\frac{180(5-2)}{5}$

-Then, you solve:

$\frac{180(5-2)}{5}$

$\frac{180(3)}{5}$

$\frac{540}{5} = 108\textdegree$

So, the sum of the interior angle is $108\textdegree$ .

7 0

3 years ago

Mrs.Giblin begins hiking at mile marker 25 on the Appalachian Trail and hikes 3 miles every hour. What is the slope?

Ilya [14]

Answer:

3 miles

Step-by-step explanation:

Slope is simply the change in position per unit rate. We could conclude that the steepness of the Applachian is the rate of change in position per unit time. Since the distance hiked on the Applachian is said to be 3 miles per hour, then we can conclude that the slope of the applachian is 3 miles

This is the change in miles / change in time.

Chang in miles = 3

Change in time = 1

Slope = 3/1

Slope = 3

7 0

2 years ago