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3 years ago

Which three lengths cannot be the lengths of the sides of a triangle? (1 point)

1 answer:

5 0

For three lengths two be able to be the sides of a triangle, the longest side must be less than the sum of the two other sides.

A.
25 is the longest side.
16+10=26
25<26

It is possible.

B.
15 is the longest side.
13+12=25
15<25

It is possible.

C.
18 is the longest side.
5+10=15
18 is NOT less than 15.

It is not possible.

D.
15 is the longest side.
8+8=16
15<16

It is possible.

Therefore, the answer is c.

Hope this helps!

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Mary invested $42,000 bonus in an account earing 7.2%annual interest that is compounded continuously. How long in years, will it

Blababa [14]

About 14 years because she would earn $3024 yearly and 3024 multiplied by 14 equals <span>42336

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8 0

3 years ago

What is the solution set for 9x2-25=0

Alexandra [31]

Answer: i hope i helped if not im truly sorry

Solving for 9x^2 - 25 = 0

Standard form:

9x2 − 25 = 0

Solutions based on quadratic formula:

= −0 − √ 02 − 4×9×(−25)

2×9

= 0 − 30 × √ 1

≈ −1.667

= −0 + √ 02 − 4×9×(−25)

2×9

= 0 + 30 × √ 1

≈ 1.667

Extrema:

Min = (0, −25)

Step-by-step explanation: im not dumb and im not smart

4 0

3 years ago

1. a. A cube’s volume is 512 cubic units. What is the length of its edge?

Vanyuwa [196]

Answer:

a) The length of its edge is 8 units.

b) The volume of the sphere is approximately 268.083 cubic units.

c) The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.

Step-by-step explanation:

a) The volume of a cube ( $V_{c}$ ), measured in cubic units, is defined by the following expression:

$V_{c} = L^{3}$ (1)

Where $L$ is the side length of the cube, measured in units.

If we know that $V_{c} = 512\,u^{3}$ , then the length of its edge is:

$L = \sqrt[3]{V_{c}}$

$L = 8\,u$

The length of its edge is 8 units.

b) The volume of a sphere ( $V_{s}$ ), measured in cubic units, that fits snugly inside this cube is defined by:

$V_{s} = \frac{\pi}{6}\cdot L^{3}$ (2)

If we know that $L = 8\,u$ , then the volume of the sphere is:

$V_{s} \approx 268.083\,u^{3}$

The volume of the sphere is approximately 268.083 cubic units.

c) The fraction of the cube taken by the sphere is the ratio of the volume of the sphere to the volume of the cube. That is to say:

$r = \frac{V_{s}}{V_{c}}$

If we know that $V_{c} = 512\,u^{3}$ and $V_{s} \approx 268.083\,u^{3}$ , then the fraction of the cube that is taken up by the sphere is:

$r = 0.524$

The result in percentage form is calculated by multiplying the result above by 100.

$\% r = 52.4\,\%$

The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.

6 0

3 years ago

STATISTICS PLEASE HELP

Bingel [31]

Answer:

Step-by-step explanation:

If the mean is 400 and the standard deviation 12.5. It means that a range between 375 and 425 is the mean +- 2 standard deviations

400 - 12.5*2 = 375

400 + 12.5*2 = 425

Which means the probability is 95%

When you are looking for +- 1 deviation standard the probability is 68, and for +- 3 the probability is 99.7

There is a more complex explanation based on Z, but assuming you are only applying 68-95-99.7 rule this should be enough.

7 0

3 years ago

A isotope has a Half life of 1000 years. If you start with 1 kilogram of this isotope how much will remain after 400 years? 4000

lubasha [3.4K]

Answer:If you begin with a 1 gram sample of the isotope, at the end of 1000 years you would have. 1 gram x (12) = 12 gram would remain.

Step-by-step explanation:

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3 years ago