(a) One unique triangle. This is an equilateral triangle since all sides are the same length. Through the SSS property, we can prove that only one triangle is possible here.
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(b) Cannot make a triangle. The triangle inequality theorem says that adding any two sides of a triangle must result in a value larger than the third side. Add up the first two sides (1 and 2) to get 1+2 = 3, which is not larger than the third side (3 units long). I recommend cutting out strips of paper that are 1 inch, 2 inches and 3 inches long, and trying to form a triangle. You'll find that a triangle is not possible. The 1 inch and 2 inch strips will line up to form a straight line that is 3 inches long, and basically you have a flat line (or a triangle with area 0)
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(c) More than one triangle. The angles add up to 180 since 35+60+85, so we can form a triangle. It turns out we can form infinitely many of them. The AA (angle angle) similarity theorem allows us to scale any triangle to make it larger or smaller compared to the original.
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(d) Cannot make a triangle. I'm assuming the 509 should actually be 50°. If so, then a triangle is not possible because the three angles (50, 50, 50) do not add to 180. We have instead 50+50+50 = 150. For any triangle, the three angles must always add to 180 degrees.
Answer:
Jamie
E = 35H
Michael
E = 4,500M
Step-by-step explanation:
Jamie's job paid her $35 an hour, while Michael's job had a $4,300 monthly salary.
Where,
E = Money earned
H = hours worked
M = months worked
Jamie
E = 35H
Where,
E = Total Amount earned
35 = amount earned per hour
H = Number of hours
** There is a mistake in the figures you gave for Michael. There are two different figures but I will go with 4,500
Michael
E = 4,500M
Where,
E = Total amount earned
4,500 = amount earned per month
M = Number of months
If Jamie made $20 an hour,
E = 20H
Let H = 1
E = 20(1)
= $20
When Jamie made $35 an hour
Assume H = 1
E = 35H
E = 35 × 1
= $35
Therefore, if Jamie made $20 an hour, her total money earned
will decrease
This is because, the higher the amount earned per hour, the higher the total amount Jamie will earn
Answer:
376.991 cm²
Step-by-step explanation:
Surface Area = 2π(5²) + 2π(5)(7)
= 50π + 70π
= 120π
= 376.9911184... ≈ 376.991
<h2>Derive Surface Area of A Cylinder</h2>
If you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle
The formula for the area of a circle = πr², and since there are 2, it is 2πr²
The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh
∴ 2πr² + 2πrh
Answer:
therefore ned spent 1 hour and 10 minutes completing the race.
Answer:
2 1/10
Step-by-step explanation:
We suppose you want the quotient of the mixed numbers 5 3/5 and 2 2/3.
(5 3/5)/(2 2/3) = (28/5)/(8/3) = (28/5)(3/8) = (4)(7)(3)/(5(4)(2)) = 21/10
= 2 1/10
