Answer: There are 2 melons, 3 pears and 6 apples in each bowl.
Step-by-step explanation:
Since we have given that
Number of melons = 8
Number of pears = 12
Number of apples = 24
We need to find the number of pieces that Hana can put in each bowl.
For greatest number of pieces = H.C.F. of 8, 12, 24 =4
So, Number of pieces of melons = 
So, Number of pieces of pears = 
So, Number of pieces of apples = 
Hence, there are 2 melons, 3 pears and 6 apples in each bowl.
Answer: The answer is 3ab + 2a + 3b.
Step-by-step explanation:
So we are given this equation:
2ab - ab + 2a + 3b + 2ab
First we have to add like terms:
2ab + 2ab - ab + 2a + 3b
4ab - ab + 2a + 3b
3ab + 2a + 3b
Here is your answer!
9514 1404 393
Answer:
B. The lengths of two of the triangle's sides and the measure of the angle between them
Step-by-step explanation:
The usual formulation of the law of cosines is something like this:
c² = a² +b² -2ab·cos(C)
where 'c' is the side opposite angle C, and 'a' and 'b' are the other two sides. That is, to use this formula directly, one needs two side lengths and the measure of the included angle.
_____
<em>Additional comment</em>
One can use the law of cosines to solve a triangle when any two sides and one angle are known. The use of the formula will give a quadratic in the unknown side length, if it is not the side opposite the known angle. As with the law of sines, if the angle is opposite the shorter of the two given sides, there may be two solutions for the length of the third side.
Answer:
<em>Hence, it will take</em><em> 9 seconds </em><em>for kirk to run </em><em>63+9=72 yards </em><em>and catch upto Max. </em>
Step-by-step explanation:
Let 'y' represents the time Max and Kirk took to meet.
Let the distance between the destination where they will meet from the place where Max is be: x yards
So the distance of destination from initial position of kirk is x+9 yards ( As Max is given a head start of 9 yards)
- As speed of Max is 7 yards per sec.
And 
Hence,


- also speed of kirk is 8 yards per second.
By the similar definition of speed we have:

Hence (1) and (2) are the required system of equation.
So on solving the system of equations by elimination method we have:
y=9 and x=63.
Hence, it will take 9 seconds for kirk to run 63+9=72 yards and catch upto Max.