A special kind of triangle is a right triangle whose definite characteristic is having a 90° angle. It is also special because there are derived trigonometric formulas/identities that can be applied to it. A right triangle has three sides: hypotenuse, adjacent side and opposite side. The hypotenuse is the longest side of the right triangle. You can determine this visually, if not, quantitatively. The other sides are with respect to a given angle.
For the problem, it might have asked for the opposite side or the hypotenuse. We use the cosine function to find the hypotenuse:
cos 58° = adjacent/hypotenuse = 4/hypotenuse
hypotenuse = 7.55 units
Then, we use the tangent function to find the opposite side.
tan 58° = opposite/adjacent = opposite/4
opposite = 6.4 units
Answer:
After 59 months the new dryer will pay for itself.
Step-by-step explanation:
Let the new clothes dryer takes 'x' months to pay for itself.
Then the operating cost of the new dryer will be = 15x
Since cost of the new dryer = $590
So, total cost of the dryer in x months = $(590 + 15x)
Now we know old dryer's operating cost is = $25 per month
So, operating cost for x months = 25x
By the time when new dryer's total cost becomes equal to the old dryer's operational cost, the new dryer will pay for itself.
Now we can get the value of x by equating the old dryer's operational cost and the new dryer's total cost.
25x = 590 + 15x
25x - 15x = 590
10x = 590
x = 
x = '59 months'
The probability of selecting two orange marbles with replacement is 36/169.
Data;
- Orange= 6
- Red = 2
- Green = 4
<h3>Probability with replacement</h3>
Since after each draw, the orange marble is replaced.
The total number of marbles in the bag is
6+3+4 = 13
And the number of orange marbles is 6.
For the first selection, the probability of selecting one orange is

After drawn and replaced, the probability of selecting another marble is

And the probability of selecting two orange marbles with replacement is

The probability of selecting two orange marbles with replacement is 36/169.
Learn more on probability here;
brainly.com/question/24756209
Answer:
30 kids with some candy left over
Answer:
c
Step-by-step explanation:
just substitute a big number into x like 10^6 as it approaches

and a big negative number like -10^6 as it approaches
