acute, because 6 + 10 > 12
obtuse, because 62 + 102 < 122
obtuse, because 6 + 10 > 12
The correctclassification for this triangle is:
obtuse, because 6² + 10² < 12²
Option C is the correct answer.
A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To determine the classification of a triangle based on its sidelengths, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, we have a triangle with side lengths of 6 cm, 10 cm, and 12 cm. Checking the sum of the lengths of each pair of sides, we have:
6 + 10 = 16 > 12
6 + 12 = 18 > 10
10 + 12 = 22 > 6
Since all three pairs satisfy the triangleinequalitytheorem, the given side lengths do form a valid triangle.
Next, we can use the lawofcosines to determine the measure of the largest angle in the triangle, which will allow us to classify it.
The lawofcosines states that, for a triangle with side lengths a, b, and c, and the angle opposite c denoted as C, we have:
In this case, the sidelengths are a = 6 cm, b = 10 cm, and c = 12 cm. Substituting these values into the formula and solving for cos(C), we get:
cos(C) = (6² + 10² - 12²) / (2 x 6 x 10)
cos(C) = -1/5
Since the cosinefunction is negative for angles between 90 and 180 degrees, we know that angle C is obtuse.
Therefore,
The correctclassification for this triangle is:
obtuse, because 6² + 10² < 12²
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Answer:
C
Step-by-step explanation:
use Pythagorean theorem
+ =
c is the longest side
if + > then it's acute (greater than)
if + < then it's obtuse (less than)
if they are equal, then its a right triangle
+ =
36 + 100 = 144
136 = 144
136 < 144 obtuse
a. x = –10.6
b. x = –0.8
c. x = 0.8
d. x = 10.6
(dont write random answers pls!)
Answer:
to find the answer, you need to find the measure of the angle on the other side of the 142. and since it's a straight line, those two angles measures are =to 180 (they're supplementary angles). so the measure of that angle is 38 degrees. to find the measure of the remaining angle, you subtract the angle measures you already know from 180 (because the sum of interior angles in a triangle is 180.) to, the answer is:
180-90-38= 52 degrees or A
The true statement about the juan and lisa is Juan made a higher rate of pay than Lisa.
Juan made a lower rate of pay because he made less money.
This statement is false. Juan and Lisa made a similar rate of pay per hour ($14.80 and $14.00 respectively).
Lisa made a better rate of pay because she made more money.
This statement is false. The total earnings do not determine the rate of pay; the hourly rate does.
Lisa said she made a better rate of pay because her rate was $14 an hour.
This statement is false. Lisa's actual rate was $14.00 per hour, not $14.00 as stated.
Juan said he made a better rate of pay because he was paid $14.80 an hour.
This statement is true. Juan's hourly rate was $14.80, which is higher than Lisa's rate of $14.00 per hour.
To calculate the rate of pay, we divide the money earned by the hours worked.
Juan's rate of pay is $37.00 / 2.5 hours = $14.80 per hour.
Lisa's rate of pay is $42.00 / 3 hours = $14.00 per hour.
Therefore, Juan made a higher rate of pay than Lisa.
Answer: Juan said he made a better rate of pay because he was paid $14.80 an hour.
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The following question may be like this:
Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?
Juan made a lower rate of pay because he made less money.
Lisa made a better rate of pay because she made more money.
Lisa said she made a better rate of pay because her rate was $14 an hour.
Juan said he made a better rate of pay because he was paid $14.80 an hour.
Answer:
2. Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?
Lisa said she made a better rate of pay because her rate was $14 an hour.
Answer: Juan said he made a better rate of pay because he was paid $14.80 an hour.
Juan made a lower rate of pay because he made less money.
Lisa made a better rate of pay because she made more money.
Answer:
5
Step-by-step explanation:
[3(5 + 6) + 2] ÷ 7
(5 + 6) = 11
[3(11) + 2] ÷ 7
3 x 11 = 33
[33 + 2] = 35
[35] ÷ 7 = 5
Thus the answer, 5
4 hours and 55 minutes
3 hours and 55 minutes
4 hours