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Hitman42 [59]
3 years ago
6

A triangle has two sides with the lengths 8m and 15 m. Which of the following lengths could represent the length of the third si

de? Choose all that apply. 1. 23m 2. 4m 3. 10m 4. 14m 5. 7m
Mathematics
1 answer:
sergey [27]3 years ago
8 0

Answer:

3. 10m

4. 14m

Step-by-step explanation:

Angle inequality rule: A triangle can only form if it's 2 shortest sides add up to have MORE length than it's longer side.

1. 23 m

2. 4m

3. 10m

4. 14m

5. 7m

1 doesn't follow the angle inequality rule.

2 doesn't follow the angle inequality rule.

3 can be the third side.

4 can be the third side

5 doesn't follow the angle inequality rule.

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Brian has $45.25 saved and earns $7.25/week. Dakota has $25.25 saved and earns $9.75/week. In how many weeks will they have the
kogti [31]
STEP ONE:
Set up the equation
45.25 + 7.25x = 25.25 + 9.75x
STEP TWO:
Subtract 7.25x from both sides
45.25 = 25.25 + 2.5x
STEP THREE:
Subtract 25.25 from both sides
20 = 2.5x
(Flip equation)
2.5x = 20
STEP FOUR:
Divide 2.5 from both sides
x = 8

Since x represents weeks, it will take 8 weeks for Brian and Dakota to have the same amount of money.

Hope this helped!
7 0
3 years ago
Read 2 more answers
The mean life of a particular brand of light bulb is 1200 hours. If you know that at about 95% of this brand of bulbs will last
Pachacha [2.7K]

Answer:

c) 50

Step-by-step explanation:

We have been given that the mean life of a particular brand of light bulb is 1200 hours. About 95% of this brand of bulbs will last between 1100 and 1300 hours.

We will use z-score formula to solve our given problem.

z=\frac{x-\mu}{\sigma}, where,

z=\text{z-score},

x=\text{Sample score},

\mu=\text{Mean},

\sigma=\text{Standard deviation}

We know that 95% of data points lies within two standard deviation of mean, so 1100 will correspond to a z-score of -2 and 1300 will correspond to a z-score of 2.

-2=\frac{1000-1200}{\sigma}

-2=\frac{-100}{\sigma}

\sigma=\frac{-100}{-2}

\sigma=50

We can use sample score 1300 and get same answer as:

2=\frac{1300-1200}{\sigma}

2=\frac{100}{\sigma}

\sigma=\frac{100}{2}

\sigma=50

Therefore, the standard deviation of the light bulbs’ life is 50 years.

4 0
4 years ago
11(2x + 1) = 4x - 7 <br> show work
Harlamova29_29 [7]

Answer:

0.22

Step-by-step explanation:

22x + 11 = 4x - 7

22x - 4x = -7 + 11

18x = 4

x = 4/18

x = 0.22

<em><u>Please mark as brainliest.</u></em>

8 0
3 years ago
Read 2 more answers
Who ever helps get 36 points
wlad13 [49]

Answer:

582 cause its right :)

Step-by-step explanation:

6 0
3 years ago
Brenda says a good estimate for 50× 31 3/4 is 800. is this correct? Explain.
QveST [7]
At first glance, it seems like a good estimate; big numbers make bigger number.
But, this is multiplication, which means big numbers will make an extraordinarily big number, in proportion to the numbers themselves.
If you round 31 3/4 up to 32, you can multiply that by 50. To make the estimate easier, multiply 50 by 2,
50 x 2 = 100
Take the zeros off 50 and 30 to make this a bit simpler, and multiply 5 by 3,
5 x 3 = 15
Add each of the zeros you took off to the 15 to make 1500 (1 zero was taken off 50, and 1 off of 30),
And then add 1500 to that other 100
1500 + 100 = 1600
A good estimate for 50 x 31 3/4 would be 1600, not 800.
Therefore,
No. Brenda's estimate of 800 is NOT a good estimate.
3 0
4 years ago
Read 2 more answers
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