MATHEMATICS HIGH SCHOOL

HELP PLEASE!A parallelogram with sides of 6 and 10 has an area of 30 sqrt of 2. Find the measure of the small angle of the parallelogram.

A.30
B.45
C.60

Answers

Answer 1
Answer:

You can solve this problem by using trigonometry. There are two scenarios with a parallelogram with sides 6 and 10. Either the base is 6 or the base is 10. I did both cases and they gave the same results. The answer is B, 45 degrees. My work is shown below:
Answer 2
Answer: The correct answer is B.

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James works as a waiter. He served meals with bills of $23.59, $40.65, $30.50, and $15.68. If his total for tips was $17.67, what percent tip did he receive for serving these meals? Round your answer to the nearest percent?

Answers

1.      James works as a waiter.
He served food with the following price
=> 23.59 dollars
=> 40.65 dollars
=> 30.50 dollars
=> 15.68 dollars
Let’s add this altogether:
=> 23.59 + 40.65 + 30.50 + 15.68
=> 110.42 the total of the ordered food.
Now, James received a tip of 17.67 dollars. Find the interest rate of his tip.
=> 110.42 * .50 = 55.21, thus the interest rate of tip is less than 50%
=> You can do trial and error to get the correct rate,
=> 110.42 * .16 = 17.67, thus he received 16% tip

Answer:

16% percent would be the answer if you have plato Your welcome plato users.=)

Step-by-step explanation:

Given: sin(18m-12)=cos(7m+2), find the value of m.

Answers

Answer:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

Step-by-step explanation:

Solve for m:

-cos(7 m + 2) sin(12 - 18 m) = 0

Multiply both sides by -1:

cos(7 m + 2) sin(12 - 18 m) = 0

Split into two equations:

cos(7 m + 2) = 0 or sin(12 - 18 m) = 0

Take the inverse cosine of both sides:

7 m + 2 = π n_1 + π/2 for n_1 element Z

or sin(12 - 18 m) = 0

Subtract 2 from both sides:

7 m = -2 + π/2 + π n_1 for n_1 element Z

or sin(12 - 18 m) = 0

Divide both sides by 7:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or sin(12 - 18 m) = 0

Take the inverse sine of both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or 12 - 18 m = π n_2 for n_2 element Z

Subtract 12 from both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or -18 m = π n_2 - 12 for n_2 element Z

Divide both sides by -18:

Answer: m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

Find the area of an equilateral triangle with perimeter 18.

Answers

Answer:

15.59 un²

Step-by-step explanation:

18 ÷ 3 = 6

15.59 un²

Jack is taking medications for a recent illness. Every 6 hours he takes an antibiotic, every 4 hours he takes a pain reliever, and every 3 hours he drinks a glass of water. If he starts this regime at 10 am, at what time will he be taking both medicines and a glass of water?

Answers

At 10p.m that is after 12 hours of time gap he be taking both medicines and a glass of water.

What is least common multiple?

" Least common multiple is defined as the smallest number which is a multiple of given set of numbers."

According to the question,

Given,

Time to start regime = 10am

Time to take antibiotic =Every 6hours

Time to take pain reliever =Every 4hours

Time to drink a glass of water =Every 3hours

Least common multiple of ( 6, 4, 3) = 12

After 12 hours Jack is taking both medicines and a glass of water.

Start regime at 10am

Time after 12hours is 10pm.

Hence, at 10p.m that is after 12 hours of time gap he be taking both medicines and a glass of water.

Learn more about least common multiple here

brainly.com/question/13696879

#SPJ2
he'd take the antibiotics at 4pm, the pain reliever at 2pm and water at 1pm

What is x/3+10=15 using two step

Answers

x/3 + 10 = 15
x/3 = 5
x = 15

Sydney is going to an amusement park. The price of admission into the park is $30, and once she is inside the park, she will have to pay $5 for every ride she rides on. How much money would Sydney have to pay in total if she goes on 15 rides? How much would she have to pay if she goes on r � r rides?

Answers

Answer:

105

Step-by-step explanation:

15×5=75

75+30=105

the answer is 105

Answer:

105

Step-by-step explanation:

15x5=75

105
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