Answer:
Step-by-step explanation:
The trick is not to get all caught up in Pythagoras. There is a much simpler way to do it. Find the area of the triangle two different ways. DG and DE are at right angles. That is one way to find area. The other is use the height (DF) and multiply that by the hypotenuse GE.
DG*DE/2 = GE * DF/2 Multiply both sides by 2
DG*DE = GE * DF
DG = 8
DE = 15
GE = 17
8*15 = 17* DF
120 = 17 * DF Divide by 17
120/17 = DF
DF = 7.06
The number of hardback books that are on the bookshelf is 29 books.
- Let the total number of books be T.
- Let the number of hardback books be H.
- Let the number of paperback books be P.
<u>Given the following data:</u>
- Total number of books = 36 books
To determine the number of hardback books that are on the bookshelf:
Translating the word problem into an algebraic expression, we have;
The total number of books is:

The number of hardback books is 15 more than <u>twice</u> the number of paperback books:

Substituting the given parameters into the formula, we have;

P = 7 books
For number of hardback books:

H = 29 books
Read more on word problem here: brainly.com/question/24604067
We can consider east and north direction as x and y axes respectively.
latitude 0 and longitude 0 be the origin.
Let 'a' be the total way around the world
so, if I travel east 1/3 of the way around the world, x co-ordinate = 1/3 a
if I travel north 1/3 of the way around the world, y co-ordinate = 1/3 a
So the coordinates of your new location are(1/3 a, 1/3 a)
Answer:
He would need
cups of salt.
Step-by-step explanation:
We are given that,
The recipe requires
cups of flour and
teaspoons of salr.
As Nick wants to make the recipe using 1 cup.
Let the amount of salt needed = x
The ratio of the flour and salt will be same.
So, we have,

i.e. 
i.e. 
i.e. 
Thus, he would need
cups of salt if 1 cup of flour is used.
Answer:
4, (31 +48), (31+66)
4, 79, 97
Step-by-step explanation:
4 + (x + 48) + (x + 66) = 180 ( sum of angles in a triangle)
4 + 48 + 66 + x + x = 180
118 + 2x = 180
2x = 180 -118
2x = 62
x = 62/2 = 31