Let's see what we can fill in here.
<ACE = 130
180 - 50 = 130
Now that we have two sides and an included angle, we can use the Law of Cosines.
Law of Cosines: c^2 = a^2 + b^2 - 2ab(cos(C))
Let's plug in what we know and solve!
c^2 = 40^2 + 38^2 - 2(40)(38)(cos(130))
R = 70.69706
Hope this helps!! :)
Answer:
He needs 16 ounces of raisins and 8 ounces of nuts
Step-by-step explanation:
Let
x -----> the number of ounces of raisins
y -----> the number of ounces of nuts
we know that
x+y=24 -----> equation A
x=2y -----> equation B
Solve the system by substitution
Substitute equation B in equation A and solve for y
(2y)+y=24
3y=24
y=8 ounces of nuts
Find the value of x
x=2(8)=16 ounces of raisins
therefore
He needs 16 ounces of raisins and 8 ounces of nuts
Answer:
the mean is 8 and the absolute deviation is 1.5
Step-by-step explanation:
to find the mean you add up all the numbers, then you just divide by how many numbers there are. in this case, you would do 64/8 which would then equal 8. then you see how much the numbers differ from the mean. like for your numbers, for 8 it would be 0, for 9 it would be 1, for 7 it would be 1, for 6 it would be 2. you see it? its just how far away it is from the mean. so once you do that, you should have a 6. then you do 6/4 which is 1.5. hope this helps!
The first statement means:
b=i+12,
The third statement means:
b-3=4(i-3),
b-3=4i-12
b=4i-9
Using the value for b from the first statement in the third statement gives you:
i+12=4i-9
-3i=-21
i=7: and since b=i+12
b=19
So Ben is 19 and Ishaan is 7.
