Answers
Answer:
1. The volume of the cylinder is approximately 0.153 m³
2. 25 cm
3. [tex]25.\overline 6 \ cm[/tex]
4. 16 m
5. 1,785 m³
Step-by-step explanation:
The volume of a solid can be found by the product of the uniform cross-sectional area of the solid and the (continuous) length of the solid
1. The uniform cross-sectional area of the given cylinder = The area of the circle at the base or top
The dimension of the diameter of the circle at the top of the cylinder, d = 50 cm = 0.5 m
The area of the circular cross-section, A = π·d²/4
∴ A = π × 0.5²/4 = 0.0625·π
A = 0.0625·π m²
The height of the cylinder, h = The continuous length of the circular cross-section = 78 cm = 0.78 m
∴ The volume of the cylinder, V = A × h
∴ V = 0.0625·π × 0.78 = 0.04875·π ≈ 0.153
The volume of the cylinder, V ≈ 0.153 m³
2. The given volume of the trapezium, V = 8550 cm³
The length of the short and long parallel sides 'a', and 'b', are 17 cm and 21 cm respectively
The height of the trapezium from the diagram, h = 18 cm
The cross-sectional area of the trapezium, 'A', is found as follows;
A = (17 cm + 21 cm)/2 × 18 cm = 342 cm²
The volume of the trapezium, V = The cross-sectional, A × The (missing) length, 'l' of the trapezium
∴ l = V/A
By substitution, we have;
l = 8550 cm³/(342 cm²) = 25 cm
∴ The Missing Length, l = 25 cm
3. The given volume of the solid having a uniform cross-sectional area is, V = 385 cm³
The area of the (uniform) cross-section of the solid, A = 15 cm²
∴ The length of the solid, 'l', from V = A × l, is given as follows;
l = V/A
∴ l = 385 cm³/(15 cm²) = 25.[tex]\overline 6[/tex] cm
The length of the solid, l = 25.[tex]\overline 6[/tex] cm
4. From the diagram, we have;
The cross-sectional area of the solid, A = 216 m²
The length of the solid, l = 16 m
5. The cross-section of the solid can can be assumed to be either;
1. A trapezium from which a rectangle has been removed of dimensions 8 m by 9 m.
2. A triangle located above a rectangle
For scenario one, we have;
The cross-sectional area, A = (12.5 + 9)/2 × 15 - 8 × 9 = 89.25
For scenario two, we find 'A' as follows;
A = 7 × 9 + 1/2 × 15 × 3.5 = 89.25
∴ The cross-sectional area of the solid, A = 89.25 m²
The length, 'l', of the solid, is given as l = 20 m
The volume of the solid, V = A × l
∴ V = 89.25 m² × 20 m = 1,785 m³
The volume of the solid, V = 1,785 m³.
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
[tex]common \: difference \: decreases \: by \: 1\\ next \: term = 4 - 1 \\ = 3[/tex]
Whats y=-4(x+1)^2-5 in standard form
Answers
Answer:
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Answer:
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Answers
Answer:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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the total purchase amount would be: $
Answers
Answer:
the amount of sales tax and the total purchase amount is $1.60 and $21.60 respectively
Step-by-step explanation:
Given that
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
: P
Answer:
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Step-by-step explanation:
umm that's kindergarten math-
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OA. All whole numbers greater than or equal to
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Answers
Answer:
B. All real numbers greater than or equal to 1971 and less than or equal to 2001.
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Answer:
x = 13
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Answers
-28x^2+35x
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Here,
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-7x(4x-5)
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Answers
Answer:
The area of this triangle is.. [tex]30 in^2[/tex]
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
The area (A) of a triangle is calculated as
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When
1
3
k
+
1
4
k
=
1
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7
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Answers
Answer:
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is youranswer
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Answer:
Associate
Step-by-step explanation:
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Answer:
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Answer:
I do not understand this either lolll lolll
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Answer:
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Answers
Answer:
Look at the big picture.
Step-by-step explanation:
When creating an algorithm you should look at the big picture because it helps you understand what you need to do to correctly set up the algorithm.
Answer:
Look at the big picture.give the other person brainliest :]Gilberto invests $10,000 in a savings account that pays 4.75% simple interest. If Gilberto
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Answers
Answer:
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Step-by-step explanation:
If t varies 1/s and t=2 when s=60 find the relationship between t and s, b, find the value of t when s=90 c, find s when t=2,1/2
Answers
Answer:
[tex]t = k \frac{1}{s} \\ 2 = k. \frac{1}{60} \\ k = 120 \\ k \: \: is \: constant \: of \: variation \\ relationship \: is \\ t = \frac{120}{s} . \\ when \: s \: = 90 \\ t = \frac{120}{90} \\ t = \frac{4}{3} \\ when \: t = 2 \frac{1}{2} \\ s = \frac{120}{2 \frac{1}{2} } \\ s = 48[/tex]
The number 652.734 written in expanded form is (6 × 100) + (5 × 10) + (2 × 1) + (7 × 1 10) + (3 × 1 100 ) + (4 × 1 1000). Suppose you want to write the number 473.892 in expanded form. Which statements are correct? Select two that apply. A.7 should be multiplied by 100. B.8 should be multiplied by 1 10. C.3 should be multiplied by 1. D.2 should be multiplied by 1 100.
Answers
Answer:
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Step-by-step explanation:
Help! This is due today and I'm stuck on this problem.
Brainiest for best answer.
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Answers
Answer:
280.6 [tex]m^2[/tex]
Step-by-step explanation:
find the length of each side:
you're only given h = 9 m
the formula for h is [tex]h=\frac{\sqrt{3} }{2} *a[/tex], where a is a side length of the hexagon
plug h in:
[tex]9=\frac{\sqrt{3}}{2}*a\\\\a=9*\frac{2}{\sqrt{3}}\\\\[/tex]
a ≈ 10.392 m
now find the area of a triangle:
1/2 (10.392)(9) = 46.764 [tex]m^2[/tex]
multiply that by 6 and you get 280.584 ≈ 280.6 [tex]m^2[/tex]
you can also use the regular hexagon area formula instead of finding the individual area and multiplying by 6: [tex]\frac{3\sqrt{3} }{2} *a^2[/tex]
Find the distance between the two points rounding to the nearest tenth (if necessary).
(6,-6) and (2,-2)
Answers
Answer:
The answer is 5.7
Step-by-step explanation:
To find the answer you would use the distance formula
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We will use (2,-2) as our X and Y 2
Now all you do is plug in the numbers
[tex]\sqrt{2-(6)} + \sqrt{-2-(-6)}[/tex] Square them both
Simplify
[tex]\sqrt{-4} ^2+\sqrt{-4}^2[/tex]
Simplify again
-4 *-4 =16
4*4= 16
16+16= 32
Your answer is[tex]\sqrt{32}[/tex]
Or simplified 5.656
YOUR ANSWER IS: 5.7
A car travels 955.9 km in 8 hours. How far does the car travel in 20.4 hours if the speed of the car remains constant?
Answers
Answer:
2437 km
955.9km in 8 hours. so every hour the car travels 955.9÷8=119.48 km
119.48×20.4=. 2437.392