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Angle AEB and Angle DEC are opposite angles which means they are equal in measure. Hence,
⇛ Angle AEB = Angle DEC
⇛ 9x + 8° = 3x + 42°
⇛ 9x - 3x = 42° - 8°
⇛ 6x = 34°
⇛ x = (34/6)°
<u>To </u><u>find</u><u>:</u> Angle DEC = 3(
34/6 °) + 42° = <u>5</u><u>9</u><u>°</u><u> </u><u>(</u><u>Ans)</u>
Answer:
52500
Step-by-step explanation:
5% of 50000 is 2500
(50000 * 0.05 = 2500)
50000 + 2500 = 52500
another way to do it is just multiply 50000 by 1.05 (105%)
Answer:
The mass of the piece of granite with volume of 75 cm^3 is 202.5 grams.
Step-by-step explanation:
Let
m = the mass of a piece of granite whose volume is: 40 + 35 = 75 cm^3 (greater by 35 cm^3)
Since Density = Mass / Volume and we are talking about pieces of the same material (same density) we can write:
m/75 = 108/40
m = 202.5 g
Answer:
The answer to your question is The volume in terms of π is 1944π m³
Step-by-step explanation:
Data
diameter = 18 m
height = 19 m
Process
1.- Calculate the volume of the cone
Formula
Volume = πr²h / 3
radius = 18/2
= 9 m
-Substitution
Volume = π(9)²(19)/3
-Simplification
Volume = π(81)(19)/3
-Result
Volume = 513 π m²
2.- Calculate the volume of a semi-sphere
- Formula
Volume = 4/6 πr³
- Substitution
Volume = 4/6 π (9)³
-Simplification
Volume = 4/6 π (729)
-Result
Volume = 486π
3.- Calculate the total volume
Volume = 513π + 486π
Volume = 999π m³
Given:
Container in the shape of two rectangular prism.
To find:
The volume of the container.
Solution:
The clear image of the container is attached below.
<u>Larger rectangular prism:</u>
Volume = length × width × height
= 8 × 5 × 10
= 400
Volume of larger rectangular prism = 400 in³
<u>Smaller rectangular prism:</u>
Volume = length × width × height
= 4 × 4 × 5
= 80
Volume of smaller rectangular prism = 80 in³
Volume of container = Volume of larger prism + Volume of smaller prism
= 400 in³ + 80 in³
= 480 in³
The volume of the container is 480 in³.