First you would simplify what's in the square root, to get root 20. If you want the exact number, and not the approximation, you would take out whatever squares are in that number (20=2*2*5) so your answer is 2root5.
However, if you want the approximation, simply plug it into your calculator and get 4.18154055.
Answer:
Step-by-step explanation:
the function -16t^2 + 64t + 192 give the height S, in ft, of a model water rocket launched with a velocity of 64 ft/second from a hill that is 192 ft high. a) determine how long it will take the rocket to reach the ground, b) find the interval on which the height of the rocket is greater than 240 ft.
This question is confusing me.
Answer:
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Step-by-step explanation:
Note that 1/√(2) is equal to √(2)/2:
1/√(2) = √(2)/2
So we're given that sin(x-20) = √(2)/2
The only place on the unit circle where sin() is equal to √(2)/2 is at π/4 and 3π/4.
That means the value inside the sine must be equal to π/4 and 3π/4:
since sin(π/4) = √(2)/2 and sin(π/4) = √(2)/2
then,
sin(π/4) = sin(x-20) and sin(π/4) = sin(x-20)
You set the inside of the parentheses equal to each other and solve for x.
You can also add a +2πk at the end since all sinusoidal graph repeats every 2π.
Answer:
P≈76.37
Step-by-step explanation:
Using the formulas
P=4a
d= √2a
Solving for P
P=2√2d=2·√2·27≈76.36753
Ricky’s square yards mowed:
Ricky’s time (hr.):
To find Ricky's values, set up a proportion and solve for Ricky's square yards mowed and time.
To find the values for Ricky, we can use a proportion. Since Jake mowed 216 sq.yd. in 3 hr, we can set up the proportion as 216/3 = Ricky's square yards mowed/2. To solve for Ricky's square yards mowed, we can cross multiply and divide: 216 * 2 = 3 * Ricky's square yards mowed. Therefore, Ricky's square yards mowed = 432 sq.yd. Next, we can find Ricky's time by setting up another proportion: 216/3 = 432/Ricky's time. Cross multiplying and dividing gives us Ricky's time = 6 hr.
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Answer:
108 Square Yards
2 Hours
Step-by-step explanation:
All you do is look at the question and it says he mowed 108 square yards in 2 hours.
5 different meats
3 different cheeses
3 different breads
5x3x3 = 15*3 = 45
there are 45 choices
The sandwich shop offers a total of 45 different sandwich combinations based on the given options of meats, cheeses, and breads. Each sandwich consists of one type of each category.
The question asked is related to the concept of combinations in mathematics. It gives a variety of choices for making a sandwich - 5 types of meats, 3 types of cheeses, and 3 types of breads. Assuming that each sandwich will have one meat, one cheese, and one type of bread, we can calculate the total combinations by multiplying the number of options in each category together. Combinations are used when the order of selection does not matter.
So, the total number of sandwich combinations would be 5 (meats) * 3 (cheeses) * 3 (breads) = 45 different sandwich choices.
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3(x - 4) - 14 = 2(x - 7) + 6