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umka2103 [35]
2 years ago
8

Solve for the exact values of x and y. x = y =

Mathematics
1 answer:
Soloha48 [4]2 years ago
7 0

Answer:

Here is the solution...hope it helps:)

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Describe the steps you can use to find an average of fractional amounts.
oksano4ka [1.4K]
Add up the fractional amounts and divide them by however many amounts there are..........

eg.

Step 1:Add the fractions
1/6 + 5/8 +3/4 
(find the LCD)
1/6 + 5/8 + 3/4 = 4/24 + 15/24 + 18/24 = 37/24

Step 2: Divide the sum by the number of numbers in the set
37/24 ÷ 3= 37/24 ÷ 3/1= 37/24 X 1/3= 37/72

<span>So the mean (average) is 37/72</span>
5 0
3 years ago
Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions.
nikitadnepr [17]

Answer:

* sin Ф = -15/17     * cos Ф = 8/17      * tan Ф = -15/8

* csc Ф = -17/15    * sec Ф = 17/8      * cot Ф = -8/15

Step-by-step explanation:

Lets revise the trigonometric function of angle Ф

- Angle θ is in standard position

- Point  (8, -15) is on the terminal ray of angle θ

- That means the terminal is the hypotenuse of a right triangle x and y

  are its legs

∵ x-coordinate is positive and y-coordinate is negative

∴ angle Ф lies in the 4th quadrant

- The opposite side of angle Ф is the y-coordinate of the point on the

  terminal ray of angle Ф and the adjacent side to angle Ф is the

  x-coordinate of that point

∵ The length of the hypotenuse (h) = √(x² + y²)

∴ h = √[(8)² + (-15)²] = √[64 + 225] = √[289] = 17

∴ The length of the hypotenuse is 17

- Lets find sin Ф

∵ sin Ф = opposite/hypotenuse

∵ The opposite is y = -15

∵ The hypotenuse = 17

∴ sin Ф = -15/17

- Lets find cos Ф

∵ cos Ф = adjacent/hypotenuse

∵ The adjacent is x = 8

∵ The hypotenuse = 17

∴ cos Ф = 8/17

- Lets find tan Ф

∵ tan Ф = opposite/adjacent

∵ The opposite is y = -15

∵ The adjacent = 8

∴ tan Ф = -15/8

- Remember csc Ф is the reciprocal of sin Ф

∵ csc Ф = 1/sin Ф

∵ sin Ф = -15/17

∴ csc Ф = -17/15

- Remember sec Ф is the reciprocal of cos Ф

∵ sec Ф = 1/ cos Ф

∵ cos Ф = 8/17

∴ sec Ф = 17/8

- Remember cot Ф is the reciprocal of tan Ф

∵ cot Ф = 1/tan Ф

∵ tan Ф = -15/8

∴ cot Ф = -8/15

5 0
3 years ago
Please need help for question number 26
kherson [118]

(8,12)(14,3)


Use midpoint formula


(X1+x2/2, y1+y2/2)


Substitute with your points


(8+14/2, 12+3/2)


Solve each


(22/2,15/2)


Cancel common factor 2


(2×(4+7)/2(1),15/2)


Simplify

(4+7/1,15/2)


This is your midpoint

(11, 15/2)




3 0
3 years ago
Write 47/80 as a percentage and round your answer to the nearest tenth of a percent
Amanda [17]

Answer:

6%

Step-by-step explanation:

57 divided by 80 = 0.5875

.5875 rounded to the nearest tenth is 6%

8 0
3 years ago
Posted this time 22 points please help ASAp
TEA [102]

Answer:

If the positions are distinct, as in executive offices, then P(9,5)

P(9,5) = 9!/(9 - 5)! = 15120..... is the answer

But...

If the positions are equivalent, such as seats in a legislative body, then C(9,5)

C(9,5) = 9!/[(9 - 5)!(5!)] = 126

Hope this can help you :)

6 0
3 years ago
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