Answer: 7
Explanation:
List out the factors of 120 until we hit a gap
1,2,3,4,5,6,8
Note that 7 is not shown above. We can see that 120/7 = 17.14 approximately meaning that 7 doesn't go evenly into 120. So this is why 7 isn't a factor. Something like 3 is a factor because 120/3 = 40 is a whole number result.
Also, 7 is prime. The only factors of 7 are 1 and itself. This means that 7 and 120 do not have any common factors other than 1. The GCF of 7 and 120 is 1, leading to the two numbers being relatively prime
Side note: The term "coprime" is sometimes used in place of "relatively prime"
Answer:
A. The length of the third side is approximately 5 feet.
B. A = 
, B = 
and C = 
.
Step-by-step explanation:
Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.
A. Let side a = 6 feet and c = 3 feet, thus;
= 
+ 
- 2ac Cos B
= 
+ 
- 2(6 x 3) Cos
= 36 + 9 - 36 x 0.5
= 45 - 18
= 27
b = 
= 5.1962
b = 5.2 feet
b ≅ 5 feet
The length of the third side is approximately 5 feet.
B. Given that B = , then let us apply the Sine rule to determined the measure of A.
= 
So that,
= 
Sin A = 
Sin A = 0.99923
A = 
0.99923
= 87.75
A ≅
Since the sum of angle in a triangle = 
.
Then,
A + B + C =
+ + C =
+ C =
C = -
=
C =
Thus,
A = , B = and C = .
Answer:
The tallest bar on the chart would be for the a column of 4 students received an A on the test
Step-by-step explanation:
The tallest bar on the chart would be for the a column of 4 students received an A on the test.
Answer:
<u><em>45/49</em></u>
Step-by-step explanation:
You do the inverse operation so 7/15=15/7. 15/7×3/7= 45/49. You can't simplify it any further so it is 45/49.
Answer:
b = 6.928
Step-by-step explanation:
Looks like a job for the Pythagorean Theorem.
a^2 + b^2 = c^2
4^2 + b^2 = 8^2
16 + b^2 = 64
b^2 = 48
b = 6.928
Hope it helps!!
