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maria [59]
3 years ago
6

Could you build a triangle from each of the 3 lengths?

Mathematics
1 answer:
lianna [129]3 years ago
7 0
To form a triangle the sum of the two shorter sides must be greater than the longest side.
5, 5, 3 forms a triangle (isosceles)
8, 8, 8 forms a triangle (equilateral)
5, 6, 10 forms a triangle (obtuse angled scalene)

7, 8, 15 technically forms a triangle with an area of zero units. The vertices would be co-linear.
This will often be ignored as it has little practical use.

Fun fact. If you break a stick into 3 random lengths there is only a 25% chance they will be able to form a triangle.
You might be interested in
What is the equation of the quadratic graph with a focus of (−4, seventeen eighths ) and a directrix of y = fifteen eighths
Lunna [17]
Standard form for a parabola:
( x - h )² = 4 p ( y - k )
Vertex: ( h, k ) = ( -4, 2 )
Displacement from vertex to focus:
p = 2/8 = 1/4
( x + 4 )² = 4 · 1/4 ( y - 2 )
y = ( x + 4 )² + 2
or general form: 
x² + 8 x - y + 18 = 0 
5 0
3 years ago
18
Cloud [144]

Answer: 100

5

Step-by-step explanation:

a) The mean of a normal distribution is also the median. Half the population will have values above the mean. Half of 200 is 100, so ...

... 100 students will have grades above 70%.

b) 84% is 14% above the mean. Each 7% is 1 standard deviation, so 14% is 2 standard deviations above the mean. The empirical rule tells you 95% of the population is within 2 standard deviations of the mean, so about 5% of students (10 students) got grades higher than 84% or lower than 56%. The normal distribution is symmetrical, so we expect about 5 students in each range.

... about 5 students will have grades above 84%.

3 0
3 years ago
How should the decimal point in 52.48 be moved to determine the product 52.48×105 ?
tensa zangetsu [6.8K]

Answer:

5510.4

Step-by-step explanation:

4 0
3 years ago
Can someone pls help ​
Basile [38]

Answer:

15x - 2.

Step-by-step explanation:

3x - 1 + 2x + 1 + 4x - 2 + 4x - 4 + 2x + 4

= 15x - 2.

5 0
3 years ago
Read 2 more answers
The probability of selecting an orange marble is 20%
zubka84 [21]

See there is no pink

So probability of selecting a pink is 0 .

The probability of orange is 20% or 0.2

The probability of purple is 30% or 0.3

As there is no color mentioned for rest part at max probability of pink is 0.5 .

  • But by now it's 0 as it's not mentioned
5 0
2 years ago
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