Okay whenever you see the word "of" this mean to multiply
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2/3 x 3/8 = 6/24.
6/24 is = 1/4.
Answer: 1/4.
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Hey!
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Solution:
5 1/5% = 0.052
325 x 0.052 = 16.9
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Answer:
D. 16.899...
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Hope This Helped! Good Luck!
The standard form of an equation of a line would be written as Ax + By = C where A, B and C are numbers. To write the given equation to this form, we do as follows:
<span>(y = x/6 + 4) 6
6y = x + 24
-x + 6y = 24
Therefore, the correct answer from the choices listed above is option B.
Hope this helps. Have a nice day.</span>
Answer:
- length: 20 in
- width: 16 in
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is 5/4w, and the area is ...
A = LW
320 in² = (5/4w)(w)
256 in² = w² . . . . . . . . . multiply by 4/5
16 in = w . . . . . . . . . . . . take the square root
5/4w = 5/4(16 in) = 20 in . . . . the length
The length of the rectangle is 20 inches; its width is 16 inches.
Answer:
Volume of the frustum = 225.0952
Surface area = 274
Step-by-step explanation:
The volume can be calculated as the difference of the complete pyramid and the tip of the pyramid.
To find the height of the frustum, we can use pythagoras theorem in the following triangle:
first side: 9 - 5 = 4
second side h (height)
hypotenusa: slang = 6
6^2 = h^2 + 4^2
h^2 = 36 - 16 = 20
h = 4.4721
To find the height of the complete pyramid (H), we can use the following rule of three:
H / 9 = (H - 4.4721) / 5
5H = 9H - 40.2489
4H = 40.2489
H = 10.0622
Volume of complete pyramid:
V_complete = (1/3)*9^2*10.0622 = 271.6794
Volume of the tip:
V_tip = (1/3)*5^2*(10.0622 - 4.4721) = 46.5842
Volume of the frustum:
V_frustum = V_complete - V_tip = 225.0952
The surface area is the bigger base area + smaller base area + four side areas.
Bigger base area = 9^2 = 81
Smaller base area = 5^2 = 25
Side area = (9+5)*6/2 = 42
Total surface area: 81 + 25 + 4*42 = 274
