Angle C is π - (π/4) - (π/3) = 5π/12. The Law of Sines tells you
... a/sin(A) = c/sin(C)
... a = sin(A)·c/sin(C)
... a = sin(π/4)·10/sin(5π/12) ≈ 7.32
The length of the side opposite angle A is about 7.32.
$8,750
(25000*.35)
Multiply
Answer:
29.88 inches
Step-by-step explanation:
Equation of a line is given in the form
Where
m is the slope [rate of change, here, rate of decrease]
c is the y-intercept [at 1920, the snowfall]
From the problem, we see that snowfall decreases by 0.24 inches per year, that will make the slope (m) to be -0.24
Also, at 1920, the initial measurement was 48.6 inches of snow, that is the y-intercept (b). Thus, we can write the equation of this line as:
y = mx + b
y = -0.24 x +48.6
To find annual snowfall, 78th year after 1920, we simply plug in 78 into "x" of the equation just found. So:
y = -0.24(78) + 48.6 = 29.88 inches
These girls really need to get their cookie situation organized!
Alright, so... first let's get this problem into a simpler form.
They made 3/5 of the total, then 2 dozen which = 24 and they still have to make 1/3 more.
So to make 3/5 and 1/3 more compatible, find the LCM of the Denominator. This = 15. 5*3=15 so take 3 (from 3/5) and multiply by 3, which is 9.
This turns 3/5 to 9/15
Then do the same to the other fraction. The Denominator (3) x 5 = 15, so take the Numerator (1)x5= 5.
This turns 1/3 to 5/15
Now that this is a little more clear, let's look at the problem with our equal and substituted values.
They made 9/15 of the total, then 2 dozen which = 24 and they still have to make 5/15 more.
So from this, we can see that after they made 24 (2 Dozen) that they need 5/15 more. 15/15 would mean they're done, so that minus 5/15 = 10/15.
The difference from 9/15 & 10/15 is 1/15. This is how much was added when they made 24 more. So now we know that 1/15=24.
With this information, we can finally solve the problem.
They plan to bake 15/15 of the cookies. This is just a term that is equal to 1 whole. The "whole" is the whole amount of cookies being baked. Since 1/15=24, we can figure out 15/15 by taking 15x24.
15 x 24 = 360. So they made 360 cookies. Sounds delicious.
I hope this helped! And hopefully these imaginary friends sell all 360 cookies!