Answer:
For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.
Step-by-step explanation:
<h3>
Answer: D. 72</h3>
Work Shown:
Angle PQR = (far arc - near arc)/2
Angle PQR = ( (major arc PR) - (minor arc PR) )/2
Angle PQR = ( (2x+252) - (2x+108) )/2
Angle PQR = 144/2
Angle PQR = 72
Notice how we didn't need to find the value of x at all.
Answer:
Step-by-step explanation:
<u>a) (x2 - 4)/(x + 2)</u>
We can simply use factorization to solve the given question.
Here the first term will be numerator and second term will be denominator.
We will factorize the numerator.
So,
Using formula, 
<u>b) (4x2 - 1) / (2x + 1)</u>
We can simply use factorization to solve the given question.
Here the first term will be numerator and second term will be denominator.
We will factorize the numerator.
Using formula,
Hence,
If you need explanation I can explain
This is an area problem where the area of a circle is pi*r^2.
A quiche with a diameter of 12 has an area of pi*6^2 = 36pi
So if it can feed 6 people, then the serving size per person is 6pi per person.
A quiche with a diameter of 10 inches has an area of pi*5^2 = 25pi
If each person requires 6pi worth of quiche, then 25pi/6pi = 4 1/6 people.
So yes, it can serve 4 people.
