Answer:
The answer to your question is: a = 3.5 units
Step-by-step explanation:
Right triangle
to find a we need to use the trigonometric function cosine
cosine Ф = opposite leg / hypothenemus
Clear opposite leg from the equation
opposite leg = hypothenemus x cosine Ф
a = opposite leg = 5 x cosine 45
a = 5 x 0.70
a = 3.5 units
Lets take it in order:
1) 90 deg because the angle right next to it is a right angle
2) 128 deg becasue of the angle directly across from it
3) x = 180 - 128 = 52 deg
4) 180 = 90 + 52 + x so x = 180 - 90 - 52 = 38
5) 180 = 38 + x so x = 180 - 38 = 142
6) Same as 4
7) Same as 5
Check my math, as I just did it in my head
Answer:
area = 160 cm²
Step-by-step explanation:
area = (8x 4 x 4) + (4 x 4 x 2) = 160 cm²
Let julia's age be x
Let Kara's age be 4x
x+4x=13
5x=13
x=13/5
2.6 years
The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The equation of the given line is expressed as
3x - 6y = 30
Rearranging it so that it will look like the slope intercept form, it becomes
6y = 3x - 30
Dividing both sides by 6, it becomes
6y/6 = 3x/6 - 30/6
y = x/2 - 5
Looking at the equation, slope, m = 1/2
If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2
To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute
x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes
- 9 = 1/2 * 4 + c
- 9 = 2 + c
c = - 9 - 2
c = - 11
By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be
y = x/2 - 11
