The formula of the volume of an oblique cylinder is V =
r²h where
is 3.14, r is the radius of the circular base of the cylinder and h is the height of the cylinder. You are given a slant length and radius of 26 and 10 units. You can get the height by using pythagorean theorem c²=a²+b².
c²=a²+b²
26² = 10² + b²
b = 24
V =
r²h
V =
(10)²(24)
V = 7,540 units³
(1) ∠ABC = 65°, ∠DBE = 65°, ∠CBE = 115°, ∠ABD = 115°
(2) ∠ABC = 62°, ∠DBE = 62°, ∠CBE = 118°, ∠ABD = 118°
Solution:
(1) In the given image ABC and DBE are vertical angles.
<u>Vertical angle theorem:</u>
If two angles are vertical then they are congruent.
⇒ ∠ABC = ∠DBE
⇒ 3x° + 38° = 5x° + 20°
Arrange like terms one side.
⇒ 38° – 20° = 5x° – 3x°
⇒ 18° = 2x°
⇒ x° = 9°
∠ABC = 3(9°) + 38° = 65°
∠DBE = 5(9°) + 20° = 65°
Adjacent angles in a straight line = 180°
⇒ ∠ABC + ∠CBE = 180°
⇒ 65° + ∠CBE = 180°
⇒ ∠CBE = 115°
∠ABD and ∠CBE are vertical angles.
∠ABD = 115°
(2) In the given image ABC and DBE are vertical angles.
⇒ ∠ABC = ∠DBE
⇒ 4x° + 2° = 5x° – 13°
Arrange like terms one side.
⇒ 13° + 2° = 5x° – 4x°
⇒ 15° = x°
∠ABC = (4(15°) + 2°) = 62°
∠DBE = 5(15°) – 13° = 62°
Adjacent angles in a straight line = 180°
⇒ ∠ABC + ∠CBE = 180°
⇒ 62° + ∠CBE = 180°
⇒ ∠CBE = 118°
∠ABD and ∠CBE are vertical angles.
∠ABD = 118°
Answer:
127.3 ft
Step-by-step explanation:
A baseball diamond is constructed in a square shape.
The sides are 90 ft each
If a catcher throws a baseball to the shortstop who is half-way between second and third bases, the distance between the third base and the short stop = 1/2(90)
= 45 ft
length of the throw is found using Pythagoras theorem.
Hypothenus ^2 = opposite ^2 + adjacent ^2
= 90^2 + 45^2
Hypothenus = √8100 + 2025
=√10125
= 100.62 ft (approximately)
So I think we should multiply 12 by 11/2 and
The answer is 66.
Hope this helps. (:
The one in the middle is 12 for the median = 8
