Answer:
x = 97.6
Step-by-step explanation:
cos = adjacent over hypotenuse

* multiply each side by x *

* divide each side by cos ( 55 ) *

we're left with x = 97.63302055
Our last step is to round to the nearest tenth of a foot
We get that x = 97.6
Answer:
y=2x + 2
0= 2x +2
-2x = 2
x= -1
Step-by-step explanation:
2y = 4x +4
2y -4x =4
y-2x =2
-2x +y =2
2x-y=-2
Answer:
There are 199 pairs of consecutive natural numbers whose product is less than 40000.
Step-by-step explanation:
We notice that such statement can be translated into this inequation:

Now we solve this inequation to the highest value of
that satisfy the inequation:


The Quadratic Formula shows that roots are:






Only the first root is valid source to determine the highest possible value of
, which is
. Each natural number represents an element itself and each pair represents an element as a function of the lowest consecutive natural number. Hence, there are 199 pairs of consecutive natural numbers whose product is less than 40000.
Answer:
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<h3>Morgan invested for 17 years</h3>
<em><u>Solution:</u></em>
From given,
Principal = $ 50, 000
Total amount = $ 177, 500
Rate of interest = 15 %
Number of years = ?
Interest amount = Total amount - principal
Interest amount = 177, 500 - 50, 000
Interest amount = 127500
<em><u>Use the formula,</u></em>

Thus he invested for 17 years