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olasank [31]
3 years ago
9

A 14-foot ladder is leaning against a building as shown. It touches a point 11 feet up on a building. How far away from the base

of the building does the ladder stand?
Mathematics
1 answer:
Luden [163]3 years ago
6 0
We can assume that the point the ladder creates with the ground and building is a triangle. You can use the Pythagorean theorem to solve this.

A^2 + B^2 = C^2

The ladder is C, and the building can act as A or B, so for the purpose of this explanation, I’ll make it A.

11^2 + B^2 = 14^2
Figure out the squares

121 + B^2 = 196
Subtract 121 from both sides

B^2 = 75
Square root B^2 and 75

B = 5 root3
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7 + x - 5 = x + 2 how do I answer?
ladessa [460]
Given:7-x-5=x+2
1)combine like terms
2-x=x+2
2)Isolate the variable
-x=x+2-2
3)move x to the left
-x-x=0
4)combine like terms
-2x=0
5)Divide
X=0
7 0
3 years ago
Marsha Green makes $9.19 per hour. Find her social security tax at the rate of 7.65% for a 40-hour work week.
ira [324]

Answer:

$28.12

Step-by-step explanation:

$9.19 x 40 = $367.60 x 7.65% = $28.12

5 0
4 years ago
Use the graph to find the solution of the system of equations {y = x^2 + 6x + 8 {y = x + 4
Phantasy [73]
Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.

One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:

x^2 + 6x + 8 = x + 4

We can then combine like terms, or move everything to one side. So we get:

x^2 + 5x + 4 = 0.

Then we can use the quadratic formula to solve for x.

x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)

This simplifies into:

(-5 +/- 3)/2

Finally we add and subtract:

(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4

And our solution is x = -1, x = -4
8 0
3 years ago
The oxygen atoms in carbon dioxide (CO2) form double bonds with the carbon atom, forming a linear molecule. Draw the structural
vodomira [7]

It would look like this: O=C=O

Hope this helps you out.

4 0
3 years ago
Jason has 34 blueberry scones and 85 raspberry scones. There is 17 bags of scones each filled with an equal amount of blueberry
ozzi

Answer:

2 blueberry and 5 raspberry scones go in each bag

Step-by-step explanation:

34+85=119

119/17=7

34/85= 2/5

so 2 blueberry and 5 raspberry scones go in each bag

hope that helps :)

8 0
3 years ago
Read 2 more answers
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