Answer:
Grace earns more. Her equation would be y = 12x, while Phillip's equation is y = 10x. Grace earns $2 more per hour.
Step-by-step explanation:
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Answer:
95 degrees
Step-by-step explanation:
since angles 1 and 4 are vertical angles, they are congruent
3x+10=4x-15
3x-4x=-15-10
-x=-25
x=25
x=25 degrees
angles 4 and 7 are supplementary due to them being alternate exterior angles
lets find the measure of angle 4:
4x-15
4*25-15
100-15
85 degrees
Now, lets find the angle measure of angle 7:
85+x=180
x=180-85
x=95
So, the angle measure of angle 7 is 95 degrees
Answer:
49.4 liters
Step-by-step explanation:
we have the basic ratio between liters of petrol (gasoline) and distance driven :
19/50
now, the same ratio has to apply, when we talk about 130 km instead of just 50.
so,
19/50 = x/130
x = 130×19/50 = 13×19/5 = 49.4 liters
if I may add, this is a very bad or at least very, very big car based on today's standards ...
Remark
You have a trapezoid on the face closest to us. The first thing you must do is find the height. After you have done that, you find the area of the face. Then you can find the volume.
Step One.
Find the small space between the end of the perpendicular and the end of the line marked 3.9 cm.
That space = (6 - 4)/2 = 2/2 = 1
Step Two
Find the height
Use the Pythagorean theorem
a^2 + b^2 = c^2
a = 1
b = ???
c = 3.9
1^2 + b^2 = 3.9^2
1 + b^2 = 15.21 Subtract 1 from both sides.
b^2 = 15.21 - 1
b^2 = 14.21 Take the square root of both sides.
sqrt(b^2) = sqrt(14.21)
b = 3.7696 b and h are the same thing.
h = 3.7696
Step 3
Find the area of the Trapezoid.
h = 3.7696
b1 = 4
b2 = 6
Formula
A = (b1 + b2)*h/2
Sub and Solve
A = (4 + 6)*3.7696/2
Area = 10* 3.7696/2
Area = 18.85 cm^2
Step 4
Find the volume
V = B * h
B = 18.85
h = 8 cm
Volume = 18.85 * 8 = 150.78 cm^3
The answer would be 3.7 x 10 to the -6th power.