Answer:
<h2>4</h2>
Step-by-step explanation:
5k-2k=12
3k=12
k=4
Since it's a wall, I'm guessing it will only have access to half the circle? Therefore:
<em>Circle area formula: </em>πr²
<em>Radius:</em> 12/2 = 6ft
<em>Our case:</em>
(π * 6²)/2 =
36π/2 =
18π = 56.55ft²
Answer: 5 packs of Snickers and 2 packs of Kit Kats.
Step-by-step explanation: How? Okay so snickers come in packs of 6 to find the number that will be equal to Kit Kats you must figure out factors. 30 has a factor of 6 and 15. 5 packs of snickers will get you 30 total snickers. 2 packs of Kit Kats will get you a total of 30 Kit Kats. I hope this helped! (:
It costs $3.63 more for the gold die than the gold plated die.
The volume of each half of the die is given by the formula
V=1/3s³.
This means the total volume is V = 2(1/3s³) = 2(1/3(2³)) = 16/3 = 5.33 mm³.
For the solid gold die, we know that it weighs 0.02g per mm³:
5.33(0.02) = 0.1066g
Gold costs $40.38 per gram:
40.38(0.1066) = $4.30
For the plastic die, plastic weighs 0.01 g per mm³:
0.01(5.33) = 0.0533g
Plastic costs $10 per gram:
0.0533(10) = 0.533 ≈ $0.54.
We also need to find the surface area, as it will be painted. Each face is an equilateral triangle; the area of a triangle is given by the formula
A = 1/2bh
We need to use the Pythagorean theorem to find the height. The height will be one leg and 1/2 of the base will be the other; the slanted side will be the hypotenuse:
h² + (1/2(2))² = 2²
h² + 1² = 2²
h² + 1 = 4
h² = 3
h = √3
The area of the triangle would then be A = 1/2bh = 1/2(2)(√3) = √3. There are 8 such faces on the die, so the total surface area would be 8√3 = 13.86mm².
Paint costs $0.01 per mm²:
13.86(0.01) = 0.1386 ≈ $0.14
Together the cost for the plastic is 0.14+0.53 = $0.67.
The difference between it and the cost for the gold die is 4.30 - 0.67 = $3.63.
Camille spent 22 minutes and 30 seconds opening presents.
Since Camille had a very fun birthday party with lots of friends and family attending, and the party lasted for 3 hours, and she and her friends played games for 3/8 of the time, ate pizza and cake for 50% of the time , and spent the remainder of the time opening presents, to determine the amount of time spent opening presents the following calculation must be performed, posing the following linear equation:
Total time - time spent on other activities = time spent opening presents
- 3 - (3 x 3/8) - (3 x 0.5) = X
- 3 - 1.125 - 1.5 = X
- 3 - 2.625 = X
- 0.375 = X
- 1 = 60
- 0.375 = X
- 0.375 x 60 = X
- 22.5 = X
Therefore, Camille spent 22 minutes and 30 seconds opening presents.
Learn more in brainly.com/question/11897796
