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3 years ago

What is the value of x? Show all of your work.Round your answer to the nearest tenth.

Mathematics

1 answer:

Mashutka [201]3 years ago

8 0

Answer:

$x=20.6\ in$

Step-by-step explanation:

we know that

Applying the Pythagoras Theorem

$41.2^{2} =35.7^{2} +x^{2}$

solver for x

$x^{2}=41.2^{2}-35.7^{2}$

$x^{2}=422.95$

$x=20.6\ in$

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The volume of a sphere is 2,240 yd^3. What will be the new volume in the dimensions are multiplied by 1/4?

Veseljchak [2.6K]

Answer:

34.98yd^3

Step-by-step explanation:

Volume of a sphere V=4/3πr3

Where V = 2240yd^3

π = 3.14

2240 = 4/3×3.14×r^3

2240 = 4.1866r^3

r^3 = 2240/4.1866

r^3 = 534.784

r = ( 534.784 )^1/3

r = 8.1169

Since each dimension is to be multiplied by 1/4

Hence, 1/4×8.1169

r = 2.029.

New volume will be

V = 4/3×3.14×2.029^3

V = 4/3×3.14×8.3558

V = 34.98yd^3.

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3 years ago

Select the locations on the number line to plot the points 9/2 and −7/2 .

Alex_Xolod [135]

9/2 would be on the right -7/2 will be on the left hope i helped

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3 years ago

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Geometry solve for x

gulaghasi [49]

Answer: b

Step-by-step explanation: the parallel proportionality theorem states that “if two or more parallel lines are intersected by two transversals, the parallel lines divide the transversals proportionally.” Therefore, you make a ratio and solve:

(4/2)=(6/x) and if you solve, x=3

now, 6+3=9, so 2x-11=9

if you solve for that, x=10

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3 years ago

Can someone help me please??

dem82 [27]

Add all the sides together
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7 0

2 years ago

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The brain volumes ?( cm cubed cm3?) of 20 brains have a mean of 1083.9 1083.9 cm cubed cm3 and a standard deviation of 122.2 122

Colt1911 [192]

Answer:

Range: (844.9,1333.7)

A brain volume of 1348.3 cm cubed can be considered significantly high.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1083.9 cm cubed

Standard Deviation, σ = 122.2 cm cubed

Range rule thumb:

This rule state that the the range of data is four times the standard deviation of the data.

$\text{Range} = 4\times \sigma = 4\times 122.2 = 488.8$

Upper Limit:

$\mu + 2\sigma = 1089.3 + 2(122.2) = 1333.7$

Lower limit:

$\mu - 2\sigma = 1089.3 - 2(122.2) = 844.9$

Since, 1348.3 does not lie in the range (844.9,1333.7), a brain volume of 1348.3 cm cubed can be considered significantly high.

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3 years ago