12.40 am is the next time they both ring at the same time
If you want to remember the trig formulas, I suggest the “SOHCAHTOA” or the “Some old hippie caught another hippie tripping on acid method.” It combines all three principle formulas together. So, SOH means sine equals opposite over hypotenuse, and CAH means cosine equals adjacent over hypotenuse, and TOA means tangent equals opposite over adjacent.
Cosine equals adjacent/hypotenuse.
1st day: 1 1/2 hours
2nd day: half of first day = 1/2 * 1 1/2 hours
3rd day: 2 1/2 times as long as first day: 2 1/2 * 1 1/2 hours
1 1/2 + 1/2 * 1 1/2 + 2 1/2 * 1 1/2 =
= 3/2 + 1/2 * 3/2 + 5/2 * 3/2
= 3/2 + 3/4 + 15/4
= 6/4 + 3/4 + 15/4
= 24/4
= 6
Answer: She studied for 6 hours over the 3-day period.
Answer:
A; ?; Line 3
Step-by-step explanation:
Question 1:
-30 divided by -6 is 5.
The negatives cancel each other out.
And 30 divided by 6 is simply 5.
Question 2:

Do the operation inside the parenthesis first:

Divide. 12 does not go into 62 evenly. 12 times 5 is 60, so the answer is 5 remainder 2:

Or in fractions:

(Was there a typo? From what you've given me, the correct answer is not listed.)
Question 3:
So we have to following steps:

The mistake is in Line 3. Danny cannot just combine 5+6(2) into 11(2). Instead, he should multiply 6(2) and then add. Thus, the correct solution is:

Hello there!
1.) To start, first know that a cube has the same height, length, and width, meaning that all of the dimensions are 5-in. Then, when you slice it in half, this would mean that you have now reduced the width to half of its original. This would mean that the width is now 2.5 while the height and length remain 5.
Now that you have this information, you can now find the surface area by using this formula:
A= 2lw+2lh+2hw
Now plug in your values:
A=2(5)(2.5)+2(5)(5)+2(5)(2.5)
This would simplify to:
A=25+50+25
A=100 in squared
Therefore, the surface area of the two pieces are 100 inches squared.
2.) To start, first plug the measurements of the tank into the cylinder volume formula:
V=
r^2h
V=
(2.75)^2(10)
V= 237.58 cubic feet
Now, we must find how long it will take the tank to empty if the rate is 3.7 cubic feet per minute so divide the volume (in feet) by the rate:
237.58/3.7= 64.2108...
Rounded to the nearest hundredth, it would take approximately 64.21 minutes to empty the take when it is full.
:)
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