Let's say the length of the ladder is "d". Since the distance from the bottom of the ladder to the building is 16 feet less than the length, we can write this as d - 16.
The distance from the ground to the top of the ladder is 2 feet less than the length of the ladder, so we can denote this as
d - 2.
The shape made by the ground, ladder, and side of the building is a right triangle, and we just found its legs. We can use the Pythagorean Theorem to solve for "d" and find how far up the side of the building the ladder is:
(d - 16)^2 + (d - 2)^2 = d^2
(d^2 - 32d + 256) + (d^2 - 4d + 4) = d^2
2d^2 - 36d + 260 = d^2
d^2 - 36d + 260 = 0
(d - 26) * (d - 10) = 0
d = 26 or d = 10
The answer d = 10 does not fit in this case because it isn't possible to have 16 feet less of 10 feet; it would be negative!
So, d = 26. The top of the ladder to the ground is 2 less than d, so we do 26 - 2 = 24 feet.
The answer is 24 feet.
The correct answer is 84in.
The correct is going to be “Identify the Choices”.
Hope this helps! :))
Answer:
17
Step-by-step explanation:
5 + 6 - 5 + 4 +7 - 3 + 6 - 3 = 5 + 6 + 4 + 7 + 6 - 5 - 3 - 3
= 28 - 11
= 17
Answer:
<em>She invested 1600 at 8% (to get the shown $160 interest)</em>
<em>and $7400 at 10% (to get the shown 640 interest)</em>
<em>If x = 4000 then $80 interest is x2 again = $160</em>
<em>and so forth $320 interest x 2 again = $640</em>
Step-by-step explanation:
<em>The format would always be for x and then where </em>
<em>investment - x = interest we can work out totals this way and find x.</em>
<em>9000-x = 800 is first equation and substituted into 2nd equation;</em>
<em>0.10x+0.08(9000−x)=800</em>
<em>Use the distributive property to multiply 0.08 by 9000−x.</em>
<em>0.10x+720−0.08x=800</em>
<em>Combine 0.10x and -0.08x to get 0.02x.</em>
<em>0.02x + 720 = 800</em>
<em>Subtract 720 from both sides.</em>
<em>0.02x=800−720</em>
<em>Subtract 720 from 800 to get 80.</em>
<em>0.02x=80</em>
<em>Divide both sides by 0.02.</em>
<em>x= 80 / 0.02</em>
<em>Make decimals numbers = 1 or above.</em>
<em>80 / 0.02 x 100</em>
<em>x= 8000 / 2</em>
<em>x = 4000</em>
