Answer:
25 degrees
Step-by-step explanation:
Haha, awesome! Just did a problem like this!
All angles add up to 180, so set it up like this:
2x + 1 + 5x + 5 + 90 = 18
Combine like terms.
7x + 96 = 180
7x = 84
x = 12
Plug x back into 2x + 1
2(12) + 1
24 + 1
= 25 degrees
While we're at it...
5(12) + 5
60 + 5
= 65 degrees (for the other angle)
25 + 65 + 90 = 180
Math checks out & we're good to go!
Hope this helped. :) <3
Answer:
1:50 scale
Step-by-step explanation:
9.5m * 100 = 950cm
950/19 = 50
Answer:
x ≈ 33.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = 
= 
, then
x = 
( ) ≈ 33.1° ( to the nearest tenth )
Answer:
It is the second answer
Step-by-step explanation:
The standard form of an ellipse is
x^2/a^2 + y^2/b^2 or x^2/b^2 + y^2/a^2 = 1
If the x is the main axis we use the first form. If the y is the main axis we use the second form. We will use the second form.
our a is 3 and our b is 4
x^2/3^2 + y^2/4^2
Answer:
Dimensions of the original rectangle:
Length = 19 cm
Width = 11 cm
Step-by-step explanation:
Let
Length = x
Width = y
Original rectangle:
2(Length + width) = 60
2x + 2y = 60
New rectangle has same length with original rectangle but half of the width of the original rectangle when folded
Length = x
Width = 1/2y
2(Length + 1/2width) = 49
2x + y = 49
2x + 2y = 60 (1)
2x + y = 49 (2)
Subtract (2) from (1) to eliminate x
2y - y = 60 - 49
y = 11
Substitute y = 11 into (2)
2x + y = 49
2x + 11 = 49
2x = 49 - 11
2x = 38
x = 38/2
x = 19
Dimensions of the original rectangle:
Length = 19 cm
Width = 11 cm
