Answer:
19.4 feet
Step-by-step explanation:
Since the triangle has a right angle( as one of the angles in it is equal to 90°), we may find the length of the unknown side using the trigonometric notations SOH CAH TOA where
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
Given that the measure of ∠G=90° and ∠E=40°
EF is the hypotenuse side
FG is the opposite side and
GE is the adjacent side. As such if EF = 75 feet
Cos 75 = GE/75
GE = 75 Cos 75°
= 19.41 feet
≈ 19.4 feet in the nearest tenth of a foot
From the definition of logarithm, we know that:
In this case
and
so:
1 2/3cups of ingredient b
Answer:
The height is 4cm
Step-by-Step Explanation:
Use the formula:
V= π (d/2)² h
Solve for h
h=(V/π(d/2)²
804.25/(π (16/2)²
4cm
Hope this helps :)
Answer:
the original price of the book is $20
Step-by-step explanation:
sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.
<u>Things that are useless:</u>
- his name is Jarred (his name could be gary, it doesn't affect us getting the answer)
- he went to a bookstore (he could've gone to the library, it wont affect us getting to the answer)
- the book is softcover (it could be any type of book, wont affect us getting to the answer)
- the item is a book (it could be anything that he bought, wont affect us getting to the answer.)
<u>Things that are helpful:</u>
- the book was on sale (helps us know that the price was reduced)
- the book was on sale 10% (helps us know how much it was reduced by)
- he spent $18 for the reduced price (helps us know how much he spent)
Ok, now that we know those, let's work on the question.
let b be the original book price
we need to find 10% so we have to use 90% (because 100 - 10 = 90)
if we needed to find 20% we would use 80% (because 100 - 20 = 80)
and so on.
90% of b = 18 (90% of the og. book price equals 18)
90/100 × b = 18 (write a correct equation and make the percent a fraction)
9/10 × b = 18 (simplify both sides of the equation)
9 × b = 180 (multiply both sides of the equation to get rid of fraction)
b = 20 (divide both sides of the equ. to get b by itself)
the original price of the book is $20
hope this helped :D
good luck my friend
- cheesetoasty
