Answer: The required distance between the top and bottom of the bridge is 76 feet.
Step-by-step explanation: Given that a new bridge structure requires triangles that are in a ratio of 1:1.
AC = 2x + 10 and EC = 4x − 18.
We are to find the distance between the top and bottom of the bridge, in feet.
Since the two triangles ACB and DCE are in the ratio 1 : 1, so their corresponding sides are also in the ratio 1 : 1.
The sides AC and EC are corresponding to each other, so we must have
Therefore, the distance between the top and bottom of the bridge is
Thus, the required distance between the top and bottom of the bridge is 76 feet.
Answer:
s the question like that?
Step-by-step explanation:
a- x = b<u> </u><u>+</u> x .
b. a
Answer:
$83.97
Step-by-step explanation:
Let's find the total thickness of all 42 books first. To do this, we do 42 * 1.75 = 73.5 inches. We know that each shelf is 3 feet long, but we want to convert to the same unit so that it's easier to calculate, so each shelf is 3 * 12 = 36 inches long. Now, to find the number of shelves needed, we'll do total thickness/length of each shelf which is 73.5 / 36, or 2.04. Our answer has to be an integer (because you can't have half of a shelf), so do we round up or down? Well, if we rounded down, then there wouldn't be enough room for all the books, so we round up to 3 shelves instead. Because each shelf is $27.99, the price for 3 will be 27.99 * 3 = $83.97. Hope this helps!
<u>Answer
</u>
After 12 years Emily's salary will be doubled
<u>Explanation
</u>
Here the salary increase can be considered as increase in the principle amount annually.
There are two methods to calculate the number of years.
1) 72 Rule
The rule state that, the number of years required to double the principle amount at given rate of interest, we just divide 72 by the interest rate.
In this problem Principle amount =$25,000 (in this rule no importance in principle amount)
Rate of interest, R = 6%
Number of years taken to double the amount = 72/6 =12 years
2)compound interest calculation method
P[1+R/100]^N = 2P
[1+ R/100 ]^N= 2
R is 6%, N is number of years
(1.06)^N =2
e^(ln(1.06^N)) = 2
e^N㏒(1.06)=2
N x ㏑(1.06) = ㏑(2)
N =㏑(2)/㏑(1.06) ≈11.8917 ≈ 12 years
Answer:
y=5/2x-1
Step-by-step explanation:
