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emmainna [20.7K]
3 years ago
8

Can somebody please help me?

Mathematics
1 answer:
ahrayia [7]3 years ago
7 0
In order to be a triangle, the sum of two sides must be greater than the third side.  (Just think about it for a bit and you will see why this has to be true).  For example, could you have a triangle with side 3 inches, 4inches, and then a whopping 100 inches?  No, because the other two sides are too short to fully connect a triangle!

So once you understand this, we can find the possible length <span>of </span>the missing side.

Let x be the length of the missing side in centimeters.  The other two sides are 18cm and 40cm.

So one possible combination:

The sum of our two known lengths must be larger than the unknown length:

18 + 40 > x
58 > x

Therefore one constraint is that our third side has to be less than 58 centimeters.

Another combination:

18 + x > 40
x > 22

So another constraint is that our third side must be larger than 22 cm.

The last combination is pointless:

40 + x > 18

Since 40 is already larger than 18, then "40 + x" is obviously larger than 18.

So therefore our x has to be in this range:

22 < x < 58

In other words, our third side has to be larger than 22 cm, but less than 58 cm.  


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HELP PLEASE ON 13- A, B, C<br><br>Can anyone tell me if the ones I did are right
KiRa [710]
13a.) If you're dividing and the base (in this case the base is 10) is the same, subtract the exponents.
{10}^{7} \div {10}^{5} = {10}^{7 - 5} = {10}^{2}
13b.) If you're multiplying and the base is the same, then you add the exponents:

{s}^{2} \times {s}^{3} \times s = {s}^{2 + 3 + 1} = {s}^{6}
13c.) This is similar to 13b:

{6}^{4} \times {6}^{3} \times 6 = {6}^{4 + 3 + 1} = {6}^{8}
4 0
3 years ago
The demand for a daily newspaper at a newsstand at a busy intersection is known to be normally distributed with a mean of 150 an
AURORKA [14]

Answer:

171 newspapers.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 150, \sigma = 25

How many newspapers should the newsstand operator order to ensure that he runs short on no more than 20% of days

The number of newspapers must be on the 100-20 = 80th percentile. So this value if X when Z has a pvalue of 0.8. So X when Z = 0.84.

Z = \frac{X - \mu}{\sigma}

0.84 = \frac{X - 150}{25}

X - 150 = 0.84*25

X = 171

So 171 newspapers.

4 0
3 years ago
scott started his banking account with $150 and is spending $7 per day on lunch. this situation models which type of function ​
Zina [86]

Answer:

linear function:  y = -7x + 150

Step-by-step explanation:

Scott's situation represents a linear function because he is spending $7 each day on lunch.  His initial amount in his bank account is $150 and each day he spends the same rate on lunch, $7.  So, for any amount of days - represented by 'x' in the equation, you would multiply by -7 (since he is spending) and subtract this amount from his original amount of $150.  In this equation, 'y' is equal to his total after 'x' amount of days.  

7 0
3 years ago
Please answer ASAP! Thank you in advance, and remember to wash your hands consistently for 1 minute.
Genrish500 [490]
W=144 I think :). Hope I helped!
3 0
3 years ago
How do I solve these for example 3
Natasha2012 [34]
As the three longitudinal lines are parallel:

angle 4 = 5 = 6 = 82 degree (corresponding angles) = 9 = 8 = 7 = 82 degrees (vertical angles)

and

angle 11 = 180-82= 98 degrees (linear pair)

so:

angle 10 = 11 = 12 = 98 degrees (corresponding angles) = 3 = 2 = 1 = 98 degrees (vertical angles)
.


hope you got it
8 0
3 years ago
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