<h3>
Answer: 14 feet</h3>
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Explanation:
Check out the diagrams below.
We'll start with the left diagram (marked "before") which is a right triangle with the horizontal leg of 25 feet and hypotenuse 65 feet.
Use the pythagorean theorem to find the vertical side x.
a^2 + b^2 = c^2
25^2 + x^2 = 65^2
625 + x^2 = 4225
x^2 = 4225 - 625
x^2 = 3600
x = sqrt(3600)
x = 60
The top of the ladder is 60 feet high when placed against the wall in this configuration.
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If the upper end is moved down 8 feet, then x-8 = 60-8 = 52 feet is the new height of the ladder. Refer to the "after" in the diagram below.
Like earlier, we'll use the pythagorean theorem to find the missing side.
a^2 + b^2 = c^2
y^2 + 52^2 = 65^2
y^2 + 2704 = 4225
y^2 = 4225 - 2704
y^2 = 1521
y = sqrt(1521)
y = 39
The horizontal distance from the ladder base to the wall is now 39 feet.
Earlier it was 25 feet, so it has increased by 39-25 = 14 feet.
Answer:
Ans. the annual rate of return, in order to turn $5,000 into $24,000 in 15 years is 11.02% annual.
Step-by-step explanation:
Hi, well, in order to find the value of the interest rate of return, we need to solve for "r" the following equation,
Where:
n= years (time that the money was invested)
r=annual rate of return (Decimal)
So, let´s see the math of this.
![\sqrt[15]{\frac{24,000}{5,000} } =1+r](https://tex.z-dn.net/?f=%5Csqrt%5B15%5D%7B%5Cfrac%7B24%2C000%7D%7B5%2C000%7D%20%7D%20%3D1%2Br)
![\sqrt[15]{\frac{24,000}{5,000} } -1=r](https://tex.z-dn.net/?f=%5Csqrt%5B15%5D%7B%5Cfrac%7B24%2C000%7D%7B5%2C000%7D%20%7D%20-1%3Dr)
So the annual rate of return that turns $5,000 into $24,000 in 15 years is 11.02%.
N=15; PV=5,000; FV=24,000; PMT=N.A; I/Y=11.02% P/Y=N.A
Best of Luck.
Answer:
Option A) 0.588
Step-by-step explanation:
We are given the following in the question:
In triangle ABC
AC = 8 cm
AB = 13.6 cm
We have to find the sine ratio of angle B.
We define sine ratio of angle B as:
Putting values, we get,
The attached image shows the triangle.
The correct ansqwer is
Option A) 0.588
9514 1404 393
Answer:
yes
Step-by-step explanation:
A horsepower is on the order of 746 watts*, so 2 1/2 times that will be less than 2500. The motor can be used to drive the fan.
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* "horsepower" has several different definitions, depending on the application and the units system being used. All are less than 1000 W, so the above conclusion is valid in any case.
