Bear in mind that for y intercept x=0 and for x intercept y=0
Answer:
Surface area = 663π in².
Volume = (676/3)π in² ≈ 225.33 π in²
Explanation:
1) We know the radius and the lateral area.
2) With the radius you can find the areas of the top and the bottom.
For that, you use the formula:
area of the top = area of the bottom = π r²
∴ π (13 in)² = 169π in² (each)
3) Then, the surface area is the sum of the lateral area and the two bases (top and bottom)
surface area = lateral area + bottom area + top area = 325π in² + 2×169π in² = 663π in².
3) You can also find the height of the cylinder.
Use the formula: lateral area = 2π r h
∴ h = lateral area / [2 π r]
⇒ h = 325 π / [ 2π (13) ] = 12.5 in
4) With the height you can find the volume.
Use the formula: V = (4/3) π r³
∴ V = (4/3) π (13 in)³ = (676/3)π in² ≈ 225.33 π in²
Answer:
Step-by-step explanation:
The angles labeled 4y - 8 and 79 + y are called vertical angles, and definition, vertical angles are congruent. That means algebraically, that
4y - 8 = 79 + y and
3y = 87 and
y = 29
X/3 - 3/4 = 5/2
x/3 = 3.25
x= 9.75 Or 9 3/4
The area of the triangle is 36 in², so she can create only 4 triangles.
