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mafiozo [28]
2 years ago
7

If sin x = 12÷13 where 0° <x<90°find the value of 1-cos ×cos( x)​

Mathematics
1 answer:
s2008m [1.1K]2 years ago
4 0

Answer:

This is how tackle this type of problem:

Draw a right triangle with the indicated sides: side opposite the angle = 12 and hypotenuse = 13

Then, calculate the 3rd side by Pythagoras: x2 + 122 = 132

x2 = 169 - 144

x2 = 25

x = 5

Now, we have all 3 sides of our diagram triangle, so we can find all the trig ratios for the angle.

Next, we use the double angle formula to simplify cos(x + 30) = cos x cos 30 - sin x sin 30

= 5/13 . √3/2 - 12/13 . 1/2

= 5√3 /26 - 6/13

= (5√3 - 12) / 26

Step-by-step explanation:

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The figure shown in the right is made up of a square and a circle. Find the perimeter of the shaded region.
Tasya [4]

Answer:

B. 12 + 2pi cm

Step-by-step explanation:

The shaded region is made up of 3 square sides and one half circle. The three square sides are each 4, which means that those altogether equal 12.

The circle's circumference can be found by using the equation c = (d)pi

The diameter is 4, so the whole circumference is 4pi. However, you only need half of a circle, which is represented by 2pi.

Add them all together, and you get 12 + 2pi cm.

6 0
3 years ago
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rewona [7]

Answer:

x=61

Step-by-step explanation:

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2 years ago
A regular hexagon has a perimeter of 72 feet. How long is each side?
Lena [83]

Step-by-step explanation:

a hexagon has 6 sides

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3 years ago
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A) Model this situation with a linear system:
sergejj [24]

Answer:

The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Step-by-step explanation:

Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:

286 = 6 days and 320 km

320/6 = 53,333 km

286/6 = $ 47,666

Thus, the value of 1 day and 53,333 km is $ 47,666.

605 = 10 days and 900 km

900/10 = 90 km

605/10 = $ 60.5

Thus, the value of 1 day and 90 km is $ 60.5.

90 - 53,333 = 36,666

60.5 - 47.666 = 12.833

12,833 / 36,666 = value per kilometer traveled

0.35 = value per kilometer traveled

(286 - (0.35 x 320)) / 6 = X

(286/112) / 6 = X

174/6 = X

29 = X

(605 - (0.35 x 900)) / 10 = X

(605 - 315) / 10 = X

290/10 = X

29 = X

Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

3 0
3 years ago
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liraira [26]
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