Answer:
120
Step-by-step explanation:
US stamps = 5/8 × 480
= 300
foreign stamps = 480- 300
= 180
more US stamps than foreign stamps = 300-180
= 120
To graph a linear equation, you use y=mx+b. To graph a quadratic equation you use y=ax^2 + bx + c. You cannot use the same strategy to graph a quadratic equation, as in order to graph a quadratic equation, you would execute it differently. The idea is the same however, to plug numbers into the equation to find your coordinates.
Answer:
Lateral area of the smaller cylinder = 33.6
π mm²
Step-by-step explanation:
Circumference of the base of a cylinder is 24π mm . A similar cylinder has a base with circumference of 60π mm. Since we are dealing with the circumference of two similar cylinder we need to know the scale factor.
The square factor can be expressed as follow
Scale factor is the ratio between the larger circumference of the larger cylinder to the circumference of the smaller cylinder.
Scale factor = 60π/24π = 2.5
The lateral area of the larger cylinder = 210π mm².
The scale factor squared is equal to the ratio of the larger cylinder surface area to the smaller cylinder surface area.
Therefore,
2.5² = 210π/a
where
a = surface area of the smaller cylinder
cross multiply
6.25
a = 210π
divide both sides by 6.25
a = 210π/6.25
a = 33.6
π mm²
Lateral area of the smaller cylinder = 33.6
π mm²
The answer is 51°.
The top two lines are parallel to each other. Therefore alternate interior angles theorem applies. The bottom right corner that is underneath the line (for lack of a better description) is also 58°.
We also know that a triangle equals 180°. So 58+71= 129°.
So to find that missing angle we subtract 129 from 180 to get the 51°.
Answer:
y intercept is (0,-4) slope is 4/2
Step-by-step explanation:
If you plug 0 into x you get the y-intercept, because to for a y-intercept x=0.
The slope is the number attached to the x.
