The answer is 16 inches.
Let r be a radius and h be a height of a cylinder
Since the cylinders are similar, then the ratio between their radiuses is equal to the ratio of their heights:
r1 : r2 = h1 : h2
Cylinder A:
r1 = 5.6 in
h1 = ?
Cylinder B:
r2 = 1.4 in
h2 = 4 in
5.6 : 1.4 = h1 : 4
h1 = 4 * 5.6 : 1.4
h1 = 16 inches
Answer:
C
Step-by-step explanation:
We require to find DC
ΔDEC and ΔBAC are similar triangles, hence the ratios of corresponding sides are equal, that is
=
, that is
=
( cross- multiply )
23.5DC = 506 ( divide both sides by 23.5 )
DC ≈ 21.532
distance travelled = BC + DC = 44 + 21.532 ≈ 65.5 in → C
Answer:
12 30
Step-by-step explanation:
Answer:
x = 6; ∠ONP = 24°
Step-by-step explanation:
1. Find the value of x


2. Find the measures of the angles
(a) x = 2
∠ ONP = x² - 2x = 2² - 2(2) = 4 - 4 = 0
This answer does not make sense because O lies in the interior of ∠MNP.
We disregard x = 2.
(b) x = 6
∠ ONP = x² - 2x = 6² - 2(6) = 36 - 12 = 24
this looks like confusing stuff