Answer:
<u>There are 300 chapter books and 200 picture books in the children's section at the local library.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Number of books in the children's section at the local library = 500
Ratio 2:3 for picture books and chapter books
2. How many chapter books are in the section?
We will use the Rule of Three Simple for answering this question, this way:
Chapter books Total books
3 5
x 500
x * 5 = 500 * 3
5x = 1,500
x = 1,500/5
x = 300
<u>There are 300 chapter books and 200 picture books in the children's section at the local library.</u>
Answer:
Angle is 37.21 degree
Step-by-step explanation:
Given Data
|A|=2.93
|B|=3.00
A×B=-4.95k+1.94i
Angle=?
Solution
|A×B|=|A|×|B|Sinα
First for |A×B|
|A×B|=
|A×B|=
|A×B|=5.316
|A×B|=|A|×|B|Sinα
Sinα=
Sinα=
α=37.21 degree
Answer:x= 45°
Step-by-step explanation:
The value of angle LKN is 75°becausw the theorem vertically oposite angles
Then the value of angle LPN is 45° because figure LKNP is a rectangle so the sum of the angles should be 360°so 120°+120°+75°+angle LPN is 360°so the value of angle LPN is 45°
The value of x is also 45° because of vertically oposite angles theorem
Answer:
Now, the father is 60, and the son is 24.
Step-by-step explanation:
Now:
Father's age = f
Son's age = s
4 years ago:
Father's age = f - 4
Son's age = s - 4
In 12 years:
Father's age = f + 12
Son's age = s + 12
Now:
f = 3(s - 4)
In 12 years:
f + 12 = 2(s + 12)
We have 2 equations that we can solve in a system of equations.
f = 3(s - 4)
f + 12 = 2(s + 12)
f = 3s - 12
f + 12 = 2s + 24
f = 3s - 12
f = 2s + 12
Since above both equations are in terms of f, set the right sides equal and solve for s.
3s - 12 = 2s + 12
s = 24
f = 3(s - 4)
f = 3(24 - 4)
f = 3(20)
f = 60
Now, the father is 60, and the son is 24.
Answer:
Ones place: 3, Tenths place: 0.9
Step-by-step explanation:
Simple math
