PLEASE URGENT HELP!!!!!!!Gerald assembled a wooden gate, as shown below, where each of the six boards that make up the lower part of the gate are the same size and the top piece is a semi-circle shaped piece of wood.
If x = 6 inches, y = 2 inches, and z = 3 feet, what is the volume of wood used to make the gate, to the nearest cubic inch?
A. 2,746 in3
B. 1,234 in3
C. 4,628 in3
D. 3,610 in3
Answers
The volume of wood used for a wooden gate is 1234 in³
B. 1234 in³
How to find the volume of wood
The volume of wood is solved by the formula
surface area * thickness
The surface is of two shapes:
- Semi circle
- Rectangle
The length of the rectangle is the diameter of the circle and the length is
= 6 * x = 6 * 6 = 36 inches
Area of semi circle
= 0.5 * π * D² / 4
= 0.5 * π * 36² / 4
= 508.94 square inch
Area of rectangle
= 36 * 3
= 108 square inch
Total surface area = 508.94 square inch + 108 square inch
Total surface area = 616.94 square inch
Volume of wood = Total surface area * y
Volume of wood = 616.94 * 2
Volume of wood = 1233.88
Volume of wood = 1234 in³
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Answers
Answer:
y = 247
Step-by-step explanation:
The given cubic model that expresses the value of y is
y = 5a³ - 2a² + a - 45
We have to find the value of y at a = 4
We can calculate the value of y by putting a = 4
y = 5(4)³ - 2(4)² + 4 - 45
= 5(64) - 2(16) - 41
= 320 - 32 - 41
= 247
y = 247
remember: exponents first
y=5(4³)-2(4²)+4-45
y=5(64)-2(16)-41
y=320-32-41
y=288-41
y=247
answer is 247
salt
gasoline
aluminum
carbon dioxide
Answers
Final answer:
Among the given substances, gasoline is a mixture because it consists of multiple hydrocarbons and does not have a fixed composition.
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Answers
equation to use is C=cos^-1 [a^2+B^2+-2^2 /2ab
A=21
B=33
C=36
21^2+33^2-36^2
21^2=441
33^2=1089
36^2=1296
441+1089=1530
1530-1296=234
234/2=117
cos^-1*117=80.28
rounded gives you 80.3, hope this helps :D
Answers
- (2x - 20)
a. 74 degrees
b. 90 degrees
c. 158 degrees
d. 540 degrees
Answers
Step-by-step explanation:
find the M(E
P(2×+10
- (2×-20
C 158 degree
Select the correct choice below and fill in the answer box within your choice.
(Type a whole number.)
A . Subtract _from both sides.
B . Multiply both sides by _
C . Add_ to both sides.
D . Divide both sides by _
Answers
Multiply both sides of the equation by 7
- OptionBisthecorrectchoiceandthenumberthatcomesintheblankis7...~