We know that
The triangle inequality<span> states that for any </span>triangle, t<span>he sum of the lengths of any two sides of a </span>triangle<span> is greater than the length of the third side
</span>so
case <span>A. 81 mm, 7 mm, 6 mm
6+7 is not > 81
case </span><span>B. 81 mm, 7 mm, 72 mm
72+7 is not > 81
case </span><span>C. 81 mm, 7 mm, 88 mm
81+7 is not > 88
case </span><span>D. 81 mm, 7 mm, 77 mm
81+7 is > 77------> ok
77+7 is > 81-----> ok
81+77 is > 7-----> is ok
the answer is the option
</span>D. 81 mm, 7 mm, 77 mm
(88+96+98+90+x)/5=94
Add all the numbers
(372+x)/5=94
Multiply both sides by 5
372+x=470
Subtract 372 from both sides
x=98
Double check:
88+96+98+90+98=470/5=94
Hope that helps
Answer:
A. A + B (it'll be negative because they're both negative numbers and adding a negative is the same as subtracting a positive)
B. B - A ( It'll be positive because subtracting a negative is the same as adding a positive, and B is closer to 0 so it's a "bigger" number than A. so, adding A to B will make it positive)
Step-by-step explanation:
The explanations are in parenthesis to the right of the answer. they're kind of confusing, but the answers are correct.
Answer:
the answer is D
Step-by-step explanation:
We can use sine to figure this out. Sine is opposite over hypotenuse.
So therefore:
sin(45°)=x/24
x=24sin(45)
x=12√2 or about 16.970
