Answer: 1,200
Step-by-step explanation:
1,200 x .125 = 150
Answer:
10: 1
Step-by-step explanation:
We have to make the dogs art of the ratio equal first.
5:3>30:18
6:1> 180: 30
After this we have to simplify the ratio.
Cats to fish is 180:18 (divide by 2) 90:9 (then by 3) 30 : 3 (and finally by 3 again) 10 : 1
Answer:
a = - 5
Step-by-step explanation:
Given
0.5(14a + 46) = - 11a - 42 + 5a ← distribute left side
7a + 23 = - 6a - 42 ( add 6a to both sides )
13a + 23 = - 42 ( subtract 23 from both sides )
13a = - 65 ( divide both sides by 13 )
a = - 5
Let
denote the event that a student is a freshman,
a sophomore,
a junior, and
a senior.
Let
denote the event that a student majors in engineering. By the law of total probability,
By the definition of conditional probability, we can expand each of these intersection probabilities to get
We are tasked to solve for the smallest angle using the law of cosines given that the three sides of the triangle are 4,5 and 6.
a=4 , b=5, c=6
Angle 1:
cosA = 5² + 6² - 4² / 2*5*6
A=41.41°
Angle 2:
cos B = 4²+6² -5² /2*4*6
B= 55.77°
Angle C:
C = 180° - 41.41° - 55.77°
C = 82.82°
The smallest angle is A which is equal to 41.41°.
