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Sonbull [250]
3 years ago
10

Which set of angle measures could be the measures of the interior angles of a triangle?

Mathematics
2 answers:
satela [25.4K]3 years ago
7 0

Answer:

B

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°

Check the sums of the given sets of angles

90° + 42° +58° = 190° ≠ 180° ← not valid

60° + 60° + 60° = 180° ← Valid

100° + 48° + 42° = 190° ← not valid

31° + 75° + 70° = 176° ← not valid

pav-90 [236]3 years ago
5 0

Answer:

The answer is

60°, 60°, and 60°

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LekaFEV [45]
Hello again!! (go to your messages if you don't remember me)

First, calculate the volume of the empty cone.
V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³

Calculate the volume of the sphere.
V₂ = (4/3)π*(1.5 in)³ = 4.5π in³

The volume that can be filled with flavored ice is 
V = V₁ - V₂ = 115.5π in³ = 362.85 in³

Answer:
The volume is 115.5π in³ or 362.9 in³ (nearest tenth)

Hope this helps!! Let me know if you have ANY questions.
6 0
3 years ago
Read 2 more answers
The equatorial radius of the planet Jupiter is measured 40 times by a process that is practically free of bias. These measuremen
Nina [5.8K]

Answer:

The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.

Step-by-step explanation:

Sample size of 30 or larger, so we can use the normal distribution to find the confidence interval.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.93}{2} = 0.035

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.035 = 0.965, so z = 1.81

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.81*\frac{28}{\sqrt{40}} = 8

The lower end of the interval is the sample mean subtracted by M. So it is 71492 - 8 = 71484 km.

The upper end of the interval is the sample mean added to M. So it is 71492 + 8 = 71500 km.

The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.

8 0
3 years ago
The sum of three consecutive natural numbers is 1146, find the numbers.
-BARSIC- [3]

\text{Let the 3 consecutive numbers be}~ x,~x+1~ \text{and} ~x+2.\\\\\text{According to the condition,}\\\\x+x+1+x+2 = 1146\\\\\implies 3x +3 = 1146\\\\\implies 3(x+1) = 1146\\\\\implies x+1 = \dfrac{1146}3 = 382\\\\\implies x= 382-1 = 381\\\\\text{Now, the numbers are}~ 381,~382~\text{and}~383

4 0
2 years ago
Simplify 3 3/4- 1/5
gulaghasi [49]

Answer: 3 11/20

Step-by-step explanation:

You would first simplify 3 3/4 which is 15/4 then you would subtract it with 1/5

Next, you would have to find the GCD ( greatest common factor) for 15/4 and 1/5 which is 20 so multiply 15 by 5 and 4 by 5 which is 75/20, then multiply the top and bottom with 4 for 1/5 which is 4/20 . You then would subtract the simplified forms 75/20 with 4/20 Which is 71/20 which u can simplify to

3 11/20.

7 0
3 years ago
What is 3 hours in a fraction form
Bogdan [553]

Answer:

180/60

1 hour is 60 min and 3 times 60 is 180.

So it’s 180/60

Also 180/60 is 3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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