All angles in a triangle add up to 180 so 180 - 60 = 120 then 180 - 155 = 25 then 25+65 = 90 that is the remaining angle but finally 180 - 90 = 90 is the missing angle
Given that a room is shaped like a golden rectangle, and the length is 29 ft with the ratio of golden rectangle being (1+√5):2, thus the width of the room will be:
ratio of golden triangle=(length if the room)/(width of the room)
let the width be x
thus plugging the values in the expression we get:
29/x=(1+√5)/2
solving for x we get:
x/29=2/(1+√5)
thus
x=(29×2)/(1+√5)
answer is:
x=58/(1+√5)
or
byrationalizing the denominator by multiplying both the numerator and the denominator by (1-√5)
58/(1+√5)×(1-√5)/(1-√5)
=[58(1-√5)]/1-5
=(58√5-58)/4
A company is selling books. It has to pay $500 to start printing the books, and once they have done that, the books sell at $14.99 each. How many books must they sell to make a profit?
First we would model an equation. X will be the amount of books sold, and Y will be profits (in dollars obv). They had to pay $500 before they could start selling, so we must account for that too.
This equation would be

because for every book sold, X increases by 1, increasing Y by 14.99
The answer would be 34 books sold in order to turn a profit. (500/14.99=
250 and - 1250
This is a geometric sequence with common ratio r = - 5
multiply each term by - 5 to obtain the next term
- 50 × - 5 = 250
250 × - 5 = - 1250
the sequence is - 2, 10, - 50, 250, - 1250
9514 1404 393
Answer:
180 days
Step-by-step explanation:
The formulas for the volume of a cone and a cylinder are ...
V = πr²h . . . . . volume of a cone
V = (1/3)πr²h . . . . . volume of a cylinder
Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.
V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³
When the corn is used at the rate of 170 ft³/day, it will last ...
(30752.5 ft³)/(170 ft³/day) ≈ 180.96 days
The corn will last 180 days.
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<em>Additional comment</em>
In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.