Find all solutions in the interval [0, 2π).

4 sin^2 x - 4 sin x + 1 = 0

Answers

Answer 1
Answer:

Answer:

the \: solutions \: are :  \n x = 0 \n x = 360


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1. Julia's goal is to run faster than two of her friends in an upcoming6.2-mile race. The table shows the results of the last race that eachrunner finished. Assume they each run the race at the same ratethey ran their last race. Complete the table. Who will finish firstamong the three friends, and by how much time will she beat thesecond-place finisher?RunnerJuliaHazelMekenaLast RaceDistance(mi)856Last RaceTime(min: sec)62:0039:1046:00Rate(min:secper mi)Time for6.2 Miles(min: sec)
help!!!! It’s missing and I forgot to do but I need the answers 1-4 thank you so much your a life saver
Which is greater 4/7 ×1/4 or 4/7×1/6​
you deposit $70 in a savings account that pays an annual interest rate of 3%. How much simple interest would you earn in 2.5 years?
In country​ A, about five times as many cars are manufactured per day than in country B. If the total number of these cars manufactured per day is 39,612​, find the number manufactured in country B and the number manufactured in country A.

If apple=5, orange=6 and strawberry=10 then banana=?

Answers

Answer:

6.

Step-by-step explanation:

The number corresponds with how many letters there are in a word. In this case, banana has 6 letters.

Answer:

The answer is 6

Step-by-step explanation:

They are counting the nuber of letters in the word apple has 5, orange has 6, and strawberry has 10. Banana has 6 B-A-N-A-N-A.

The following rule describes the relationship between x and y.Rule: Multiply x by 4 to get y.
Complete the table for the given rule.
X Y
0 __
1 __
2 __

Answers

Y

0
4
8
Hope this helps :)

7 decreased by n
The expression is

Answers

Answer:

7-n

Step-by-step explanation:

Answer:

The expression would just be 7-n

Mike won 7 of his wrestling matches, lost 6 matches, and tied 2 matches. What percent of all of Mike's matches did he win?

Answers

Mike won 46.67% of all of his matches.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

The total number of matches that Mike wrestled is:

Total matches = number of matches won + number of matches lost + number of matches tied

Total matches = 7 + 6 + 2

Total matches = 15

To find the percentage of matches that Mike won, we can use the formula:

Percentage = (Number of matches won / Total number of matches) x 100%

Plugging in the values we know, we get:

Percentage = (7 / 15) x 100%

Percentage = 0.4667 x 100%

Percentage = 46.67%

Therefore, the Percentage = 46.67%.

To learn more about the percentage;

brainly.com/question/24159063

#SPJ5

Answer:

Mike won 46.67% of his matches

Step-by-step explanation:

Mike participated in a total of 7 + 6 + 2 = 15 matches.

The percentage of matches that Mike won can be found by diving the matches he won by the total number of matches and multiplying it by 100 to convert the decimal to a percentage.

(7/15) x 100% ≈ 46.67%

Therefore, Mike won approximately 46.67% of his matches.

What is the answer to this?
Multiply

1/4 x -2=

Answers

Answer:

-0.5

Step-by-step explanation:

Answer:

−8x+1  / 4x

Step-by-step explanation:

Will a truck that is 10 feet wide carrying a load that reaches 12 feet above the ground clear the semielliptical arch on the one-way road that passes under the bridge shown in the figure on the right? 13 ft --- 52 ft It will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately (Round to two decimal places as needed.) feet.

Answers

Height of the archway 5 feet from the center is required.

The height of the archway 5 feet away from the center is 12.757 feet.

Semi-major axis = a=(52)/(2)=26\ \text{feet}

Semi-minor axis = b=13\ \text{feet}

The formula for ellipse is

(x^2)/(a^2)+(y^2)/(b^2)=1\n\Rightarrow (x^2)/(26^2)+(y^2)/(13^2)=1

At 10 feet is the width of the truck.

The truck is passing through the center so the x=(10)/(2)=5

(5^2)/(26^2)+(y^2)/(13^2)=1\n\Rightarrow y=\sqrt{(1-(5^2)/(26^2))* 13^2}\n\Rightarrow y=12.757\ \text{feet}

Now y=12.757\ \text{feet}>12\ \text{feet}

So, the height of the archway 5 feet away from the center is 12.757 feet.

Learn more:

brainly.com/question/15864536?referrer=searchResults

Figure is missing, so i have attached it.

Answer:

it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

Step-by-step explanation:

The standard form of equation of an ellipse is;

x²/a² + y²/b² = 1

From the figure in the image attached, we can see that the radius is; a = 52/2 = 26 ft

While the value of b = 13 ft

Thus;

x²/26² + y²/13² = 1

x²/676 + y²/169 = 1

We want to find the height of the archway of the bridge 5 feet from the center.

Thus, we will plug in 5 for x to get;

5²/676 + y²/169 = 1

(25/676) + (y²/169) = 1

Multiply through by 676 to get;

25 + 4y² = 676

4y² = 676 - 25

y² = 651/4

y² = 162.75

y = 12.76 ft

Thus height of the truck is 12 ft and so it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft