Answer:
Step-by-step explanation:
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By using the triangular inequality, we will see that no triangles can be made with these side lengths.
<h3>
How many triangles can be made with these side lengths?</h3>
Remember that for any triangle with side lengths A, B, and C, the triangular inequality must be true.
This means that the sum of any two sides must be larger than the other side.
A + B > C
A + C > B
B + C > A.
For the given side lengths, we will have:
8 in + 12 in > 24 in
8in + 24 in > 12 in
12 in + 24 in > 8 in.
Now, notice that the first inequality is false. So the triangular inequality is not meet. Then we can't make a triangle with these side lengths.
So we can make 0 unique triangles with these side lengths.
If you want to learn more about triangles:
brainly.com/question/2217700
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Sue's total pay of year will have three parts
1) Fixed Salary for 12 months
one month salary = £1410
so 12 month salary = £1410 x 12 = £16920
2) 26% of total profit
Total cost to the company- £473,500
Total income for the company - £549,000
Profit = Total income for the company - Total cost to the company
= £549,000 - £473,500 = £75500
Sues income from profit = 26% of £75500 = (26 × 75500)/100 = £19630
3) Bonus if Sue sells at least 16 cars
Given number of months when sue solds atleast 16 cars = 4
So bonus income = 4 × 390 = £1560
Adding the three above parts
Sue's total pay for the year = £16920 + £19630 + £1560 = £38110
Answer:
The probability of picking two consecutive purple marbles without replacement is 14.72%.
Step-by-step explanation:
Initially, there are 4+6+2+8 = 20 total marbles.
The probability of picking a purble marble is
P_{1} = \frac{number of purple marbles}{number of total marbles}
P_{1}= \frac{8}{20} = 0.4
Since there are no replacements, there are now 19 total marbles, 7 of which are purple. So, the probability of picking another purple marble is
P_{2} = \frac{7}{19} = 0.368
The probability P of picking a purble marble(P_{1}), not replacing it, and then picking another purple marble(P_{2}) is:
P = P_{1}*P_{2} = 0.4*0.368 = 0.1472 = 14.72%
The slope should be 3/5 because the rise over run using the points (0,3) and (5,6) result in 3/5.
