Answer:
x = 25.734083
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
Note we are given an angle of 25°. The opposite side is 12 and the adjacent side is x. We need to relate those sides with a trig function (the tangent ratio)
Tangent Ratio:
Substituting:
Solving for x:
Calculating:
x = 25.734083
Round to 3 decimals:
Unknown if you wanted to be clever
on average means typically so there is data called "outliers"
Moreover it doesn't say what average percent of the day and it doesn't mention the planet, namely Earth..
there could be sloths on other planets and those other planets are likely to have different hours in the day.
Answer:
<u><em>You will need to purchase 16 more gallons that cost $2.29 each for your final amount to be $36.64</em></u>
Step-by-step explanation:
You need to find how many miles you can get per gallon to use 160 miles on 5 gallons.
= . Meaning your unit rate for this would be 32 miles for 1 gallon
You then need to find out how many gallons you will need if you're going to 640 miles and get 32 miles per gallon.
= 20
Meaning you will need 20 gallons.
Now since you already know how many gallon you have which is 4. Then you know how much you need, 20 - 4 = <u>16</u>
Then since they will be $2.29 each, multiply 2.29 by 16 to get <u>$36.64</u>
Meaning you will need to <u><em>16 gallons costing 2.29 each</em></u> and you will spend <u><em>$36.64 dollars on the trip</em></u>
Answer:
$144,500
Step-by-step explanation:
$170,000 - 15% = $25,500
$17,000 - $25,500 = $144,500
Steps to solve:
(-5q^2 + 6q + 7) - (-q^2 + 4q)
~Distribute the left side
-5q^2 + 6q + 7 + q^2 - 4q
~Combine like terms
-4q^2 + 2q + 7
Best of Luck!