Answer:
Estimate Tip = $4.50
Step-by-step explanation:
The bill to the nearest $10 is $30.00 : ( $ 30 ($32.43) $40, it is nearer to $30
Estimate Tip = Bill rounded to the nearest $10 × Tip %
Estimate Tip = $30 × 15%
Estimate Tip = $30 × .15 (15% change to a decimal is .15)
Estimate Tip = $4.50
Answer:
Length of the roof line is 
. And depth of the shed is 
Step-by-step explanation:
Given front wall is 11.5 feet tall, back wall is 20.2 feet. And roof rises at 30° angle from the front wall.
Let 
be the length of the roof line. And 
the depth of the shed.
We can see it is a right angle triangle with opposite 
(see the attachment)
Now,
Also,
So, Length of the roof line is . And depth of the shed is
Answer:
∠ A = 140° , ∠ B = 30° , ∠ C = 10°
Step-by-step explanation:
the sum of the 3 interior angles = 180°
sum the given angles and equate to 180
x - 5 + 2x + 140 = 180
3x + 135 = 180 ( subtract 135 from both sides )
3x = 45 ( divide both sides by 3 )
x = 15
then
∠ A = 140°
∠ B = 2x = 2 × 15 = 30°
∠ C = x - 5 = 15 - 5 = 10°
Answer:
y = 
x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = , thus
y = x + c ← is the partial equation
To find c substitute (3, - 1) into the partial equation
- 1 = 2 + c ⇒ c = - 1 - 2 = - 3
y = x - 3 ← equation of line
Answer:
s to the power of 3
Step-by-step explanation:
