25 = hypothenuse
14 = opposite
Use SOHCAHTOA
Give O and H, you can use sin
Sin^-1 = 14/25 = 34.0557
Round to hundreds
Solution: 34.06
Parallel lines have the same slope so you first have to identify the slope of the lines.
The first lines has a slope of 4 and the second line has a slope of 2.
This means the lines are NOT parallel
Answer:
Since we are talking annual interest and, I assume a time period of 1 year:
The interest earned is the sum of the interest earned on the two loans separately
Let x = amount loaned at 14%
18,500-x = amount loaned at 12%
I = prt
p = x and 18500-x
r = 0.14 and 0.12
t = 1
2390 = 0.14x + 0.1(18500-x)
2390 = .14x + 1850 - 0.1x
x = 13500
x = $13,500 loaned at 14%
18500-x = $5,000 loaned at 12%
Answer:
OPTION B) 2ab
Step-by-step explanation:
Given:
Side of larger square = (a + b) units
Side of smaller square = c units
To Find:
The area of all four triangles combined = ?
Solution:
a^2 + b^2 = c^2 (Pythagoras theorem) -(1)
The area of all four triangles combined = Area of larger square - Area of smaller square
The area of all four triangles combined = (a + b)^2 - c^2
The area of all four triangles combined = a^2 + b^2 + 2ab - (a^2 + b^2) {By (1)}
The area of all four triangles combined = a^2 + b^2 + 2ab - a^2 - b^2
The area of all four triangles combined = a^2 - a^2 + b^2 - b^2 + 2ab
Therefore, The area of all four triangles combined = 2ab sq. units
OPTION B) 2ab
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Answer:
(5 , -15)
Step-by-step explanation:
When you are reflecting over the x-axis, you are flipping the sign of the y-coordinate.
If you are reflecting over the y-axis, then you are flipping the sign of the x-coordinate.
In this case, you are given the point (5 , 15), and you are reflecting over the x-axis, in which case, your answer will be: (5 , -15).
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