Since the perimeter must not exceed 291.
Let the third side be x.
x + 87 + 64 < 291
x + 151 < 291.
x < 291 -151.
x < 140. (First)
But for a triangle there is what is called the Triangle Inequality Theorem. That given the two sides of a tringle, the third side of the triangle must greater than the positive difference between the two sides and less than the sum of the two sides.
So for this case. 87 and 64.
x > ( 87 - 64). x > 23.
x < (87 + 64) x < 151. Combine both inequalities.
23 < x < 151 (second).
Combining First and second. Both must be satisfied.
So we have a more accurate answer as:
23 < x < 140. x is greater than 23 and x is less than 140.
x could be 24, 25, 26, 27, ......, 139. cm.
I hope this helps.
Answer:
Wite the PM tuntipn used. D. 054/9/12, 3600,- (T-
119013
b. What mortgage amount can she borrow? $ 120,000
Step-by-step explanation:
30% of 50,400 = 30240.
Therefore the percentage loss is 30% over the course of 3 years.
Answer:
The hypotenuse is 68
Step-by-step explanation:
To find the length of the hypotenuse of a a right angled triangle, we use the Pythagoras Theorem
c² = a² + b²
where c = hypotenuse, a = height, 32 and b = width, 60
Substitute the value 32 and 60 for a and b respectively in the above formula, and we will have
c² = 32² + 60²
c² = 1024 + 3600
c² = 4624
c = √4624
c = 68
Using statistical concepts, it is found that:
- 2 modes would be expected for the distribution.
- The distribution would be symmetric.
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- Heights are traditionally normally distributed, which is a symmetric distribution.
- Second-grade students are considerably shorter than college students, so there would be two modes.
- Both distributions, for the height of second grade and of college students, are normal, which is symmetric, thus the combined distribution will also be symmetric.
A similar problem is given at brainly.com/question/13460485
