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Andreas93 [3]
4 years ago
13

Please help

Mathematics
1 answer:
Lady bird [3.3K]4 years ago
5 0

Answer:

The total volume of the composite figure will be 108.95 mm³.

Step-by-step explanation:

See the attached diagram.

The given figure consists of two semi-spheres at both ends of a cylinder.

The radius of each semi-sphere is 2 mm.

So, their volume will be \frac{2}{3}\pi r^{3} = \frac{2}{3} \times \frac{22}{7} \times 2^{3} = 16.76 mm³.

Now, the volume of the cylinder will be, πr²h = \frac{22}{7}\times (2)^{2} \times (10 - 4) = 75.43 mm³

Therefore, the total volume of the composite figure will be (16.76 × 2 + 75.43) = 108.95 mm³. (Answer)

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What set of transformations is performed on triangle RST to form triangle R’S’T’?
ra1l [238]

Answer:

D. A translation 2 units down followed by a 270-degree counterclockwise rotation about the origin

Step-by-step explanation:

The given triangle has vertices at R(3,4), S(1,1), and T(5,1)

Translating the the vertices down by 2 units, we apply the rule;

(x,y)\to (x,y-2)

\implies (3,4)\to (3,2)

\implies (1,1)\to (1,-1)

\implies (5,1)\to (5,-1)

Rotating the resulting vertices through an angle 270 degrees counterclockwise, we apply the rule:

(x,y)\to (x,-y)

\implies (3,2)\to R'(2,-3)

\implies (1,-1)\to S'(-1,-1)

\implies (5,-1)\to T'(-1,-5)

Therefore the correct choice is D.

4 0
4 years ago
Express 3 as power of 3​
Alex17521 [72]

Answer:

3 can be expressed as 3^1.

5 0
3 years ago
Which system of equations can you use to find the roots of the equation? x3 – 10x = x2 – 6 y = x3 – x2 + 10x + 6 y = 0 y = x3 –
Maslowich

Answer:

answer is:

y=x^{3}-10 x,y=x^{2}-6

Step-by-step explanation:

we are asked to find which system of equations can we use to find the roots of the equation:

x^{3}-10x=x^{2}-6

since the system of equation in last part is given as:

y=x^{3}-10 x,y=x^{2}-6

so, on equating both the equations i.e. on equating both the values of 'y' we get the desired equation as:

x^{3}-10x=x^{2}-6.


3 0
3 years ago
Read 2 more answers
Deijah gave Isaiah $6.25 in nickels and quarters. If 12 coins were quarters, how many coins were nickels? Which equation models
dem82 [27]
Deijah has $6.25. 

Now, this 6.25 is comprised of 0.05s and 0.25s. 
We know that there are 12 0.25s.

We now want to know how many remaining 0.05s there are.

Again, we know that the number of 0.05s he has, which is 12, multiplied by 0.05, plus the number of 0.25s he has, multiplied by 0.25, equals 6.25.

Thus, the answer is A, 0.25 x 12 + 0.05 x n = 6.25.
4 0
3 years ago
What is the interquartile range of the data set below? Growth in feet of oak trees: 68,80,73,90,120,94,76,112,101,94,72 (1) 22  
sdas [7]
<span>68,80,73,90,120,94,76,112,101,94,72 --->
68, 72, 73, 76, 80, 90, 94, 94, 101, 112, 120

Median = 90
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IQR = 101 - 73
IQR = 28</span>
8 0
4 years ago
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