Answer:
Number of self-Help books sold = 252 books
Step-by-step explanation:
Total books sold last week = 1,125
Central angle for the Self-Help slice = 80.64°
Total angle in a circle = 360°
How many of the books sold were Self-Help books?
Number of self-Help books sold =
Central angle for the Self-Help slice / Total angle in a circle × total number of books sold
= 80.64° / 360° × 1,125
= 0.224 × 1,125
= 252
Number of self-Help books sold = 252 books
Answer:
23.09 feet.
Step-by-step explanation:
Please find the attachment.
Let x be the distance between the person and the boat.
We have been given that a boat is 20 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 60° angle is formed between the closest point to the boat, the person, and the boat.
We can see from our attachment that the boat, shoreline and position of person forms a right triangle, where side with 20 feet length is opposite side and x is hypotenuse for our given angle.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to find the value of x.
Upon substituting our given values in above formula we will get,
Therefore, the person is 23.09 feet away from the boat.
Answer:
The images of the question are missing, I found a matching question and image online, and it is in the attachments.
Answer:
The scale factor of the triangles from the left to the right is 2
or
The scale factor of the triangles from the right to the left is 1/2
Step-by-step explanation:
From the image, the right triangle on the left has the following dimensions:
Hypotenuse = 10
length of one side = 10
While the right triangle on the right has the following:
Hypotenuse = 20
Length of one side = 20
From the dimensions above it can be seen that the triangle on the right has a dimension of 2 times the triangle on the left:
Left (10) × 2 = right (20)
Therefore the scale factor of the triangles from the left to the right is 2
or
The scale factor of the triangles from the right to the left is 1/2
Answer:
x=-
Step-by-step explanation:
subtract -3(2x-1)+8=15
-8 -8
_____________
-3(2x-1)=7
divide
then simplify
2x-1=
add both sides
2x-1+1=+1
simplify again
2x-1+1=+1=2x=
divide by 2
2x=
-2 -2
_________
2x÷2=1
x=-