Answer:
The height of the right circular cylinder is 4.55 inches ⇒ b
Step-by-step explanation:
The formula of the surface area of a right circular cylinder is
S.A = 2πrh + 2πr², where
∵ The surface area of a right circular cylinder is 300 square inches
∴ S.A = 300 in.²
∵ Its radius is 5 inches
∴ r = 5 in.
∵ π = 3.14
→ Substitute them in the rule above
∵ 300 = 2(3.14)(5)(h) + 2(3.14)(5)²
∴ 300 = 31.4h + 157
→ Subtract 157 from both sides
∵ 300 - 157 = 31.4h + 157 - 157
∴ 143 = 31.4h
→ Divide both sides by 31.4
∵ 4.554140127 = h
∴ 4.55 = h
∴ The height of the right circular cylinder is 4.55 inches
<span>f(-3) for f(x)=3x-x^2
</span>f(-3)=3(-3) -(-3)^2
f(-3)=-9 - 9
f(-3)=-18
answer is the last one on the picture
1.355 meters. hope that helped
The polygons are similar.
This is because dividing the corresponding sides forms the same ratio, as shown by the three equations below
35/28 = 1.25
25/20 = 1.25
(15.5)/(12.4) = 1.25
So the larger figure on the right has side lengths that are 1.25 times larger compared to the corresponding sides of the figure on the left.
You'll need to flip the figure on the left so that the side labeled "20" is along the top, and the "28" is along the bottom.
After this flip happens, also note that the angle arc markings match up. The bottom pairs of angles of each figure are shown with a single arc, while the top angles are shown as double arcs. This helps visually show which angles pair up and are congruent to one another.
Because we have similar proportions as discussed earlier, and congruent pairs of angles like this, this shows the two figures are similar quadrilaterals. The one on the right is simply an enlarged scaled up copy of the figure on the left.
Answer:
No, they are not equivalent.
Step-by-step explanation:
There are two ways to check this.
1. You can multiply the means and extremes. If the ratios are equivalent, they products of the means and extremes will be equal.
Multiply the means (2 and 7) and multiply the extremes (6 and 3)
14 ≠ 18
2. You could also check these by dividing them.
6/2 = 7/3
3 ≠ 2.3
Since neither one of the checks are correct, 6:2 and 7:3 are not equivalent.
I really hope this helps =)