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dusya [7]
3 years ago
12

arnold wants to make chocolate chip cookies. his recipe calls for 5 cups of flour. his spoon holds 1/6 cup of flour. how many ti

mes will arnold need to fill his spoon to get the 5 cups of flour? group of answer choices
Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0

Answer:

30 times

Step-by-step explanation:

It will take 6 spoonfuls to make one cup of flour, so you multiply 6 by 5 to get 30 spoonfuls.

Hope this helps

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How do you solve this problem?
jekas [21]
Very nice problem. You should look up the history of this question. It has a very long one having to do with mirrors made between 50 BC and 50 AD.

Step One
Find AB, BC, AC
Before beginning this problem, I'm going to arbitrarily name 
c = AB
a = BC
b = AC It just makes the calculations easier.

AB = radius of the large circle - radius of the medium circle = 20.62 - 8.04 = 12.58
BC = Radii of the two smaller circles added together = 8.04 + 7.35 = 15.39
AC = Radius of the large circle - Radius of the small circle = 20.62 - 7.35 = 13.27

So
a = 15.39
b = 13.27
c = 12.58

Step Two
Find Angle A or <BAC
a^2 = b^2 + c^2 - 2*b*c * Cos(A)
15.39^2 = 12.58^2 + 13.27^2 - 2 * 12.58 * 13.27 * Cos(A)
236.852 = 158.26 + 176.1 -  333.87 * Cos(A)
236.852 = 334.4 - 333.87*Cos(A)
-97.55 = - 333.87 *  Cos(A) 
-97.55 / -333.87 = Cos(A)
0.2922 = cos(A)
A = cos-1(0.2922)
A = 73.01 degrees

Step Three
Just to see if you understand what was done, I'll give you the givens for finding c, and the answer and you can work through the calculations to see if your answer agrees with mine. If it doesn't PM me.
c = 12.58
b = 13.27
a = 15.39

12.58^2 = 13.27^2 + 15.39^2 - 2*13.27*15.39*Cos(C)
C = 51.42

Step Four
Find <B
Every triangle has 180 degrees so
B = 180 - <A - C
B = 180 - 51.42 - 74.01
B = <54.57. 
I have found a moderator who opened the question up so that I can show you why the Cos law is the only way to do this. If the circles are very disproportionate as in this diagram, then no simple assumption can be made. The cos law is all that will work. I would have posted this earlier, but I didn't think anyone would find another method. It's ingenious but not possible for the situation below.

3 0
3 years ago
Find the slope and y-intrcept of <br><br>y=5/3x -4 ​
natima [27]

Answer:

Slope: 5/3

y-intercept: (0, -4)

Step-by-step explanation:

Slope-Intercept Formula: y = mx + b

<em>y</em> is your output.

<em>m</em> is your slope.

<em>b</em> is your y-intercept.

7 0
3 years ago
During a period of 30 working days, Deborah was late 80% of the time. How many days was she late?
erik [133]
Fairly straightforward question. She works 30 days and is late 80% or 0.8
We can model our equation
Num days late = late percentage * num working days
Basically fine portion of working days that she was late.

Num days late = 0.8 * 30=24

So Deborah was late 24 out of 30 working days. Would appreciate a brainliest
8 0
2 years ago
Can somebody plz help answer these questions (only if u know how to do this) thanks a lot! :)
Mamont248 [21]

Answer:

12. 3:12

Step-by-step explanation:

that is 12

4 0
2 years ago
How do you simplify -24e5/6e
kifflom [539]
-24e^5/6e = -<span>4e^4
hope it helps</span>
4 0
3 years ago
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