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Oksi-84 [34.3K]
3 years ago
6

Which of the following is true of the values of x and y in the diagram below? A unit circle is shown. A radius with length 1 for

ms angle theta = StartFraction pi Over 4 EndFraction. The radius intersects point (x, y) on the unit circle. y < x y > x y + x = 1 StartFraction y Over x EndFraction = 1
Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0

Answer:

y/x=1

Step-by-step explanation:

took the test

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part 2. Find the value of the trig function indicated, use for that Pythagorean theorem to find the third side if you need it.​
andreev551 [17]

Answer:  \bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}

<u>Step-by-Step Explanation:</u>

Pythagorean Theorem is: a² + b² = c²  , <em>where "c" is the hypotenuse</em>

5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}

Note: (15)² + (3√11)² = hypotenuse²   →   hypotenuse = 18

6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}

Note: 8² + 15² = hypotenuse²   →   hypotenuse = 17

7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}

Note: hypotenuse not needed for tan

8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}

Note: 2² + 6² = hypotenuse²   →   hypotenuse = 2√10

8 0
2 years ago
What is 10÷5/8 in a math order.
Sedbober [7]
If you would like to calculate <span>10÷5/8, you can do this using the following steps:

</span><span>10÷5/8 = (10/5)/8 = 2/8 = 1/4 = 0.25

The correct result would be 1/4 or 0.25.</span>
3 0
3 years ago
50 men working 10 hours daily can complete a job in
Sliva [168]

<h2>Given :-</h2>

  • 50 men do 10 hours work daily complete work in 20 days

  • 80 men do job in 50% time

<h2>To Find :-</h2>

  • Days required

<h2>Solution :-</h2>

  • 1 man may do job in (50 × 20) days =
  • 1 man may do job in 1000 days

Now,

  • 80 man = 1000/80 = 12.5

Now,

  • When hours reduced 50% then we will multiply days by 2
  • Total days = 12.5 × 2 = 25 days.

<h2>Hence</h2>

  • Option C is correct

\begin{gathered} \\ \end{gathered}

8 0
2 years ago
15 cm<br> 16.6 cm<br> area<br> cm2
Ymorist [56]

Answer:

357.1573 (If you don't round)

Step-by-step explanation:

To find area of a rectangle is to multiply length by width, which in this situation would be 15 by 16.6, which is equal to 249. Next, we need to add this to the area of the semicircle. The area of a semicircle is equal to 1/2 * pi * radius^2 (Because a semicircle is half a circle and a circle's area is pi * radius^2). The radius is equal to half the diameter, which in this case is 16.6. 16.6/2 = 8.3, so the radius is 8.3. If we plug this into the equation, we get that 108.1573 is the area of the circle (If you use 3.14 as pi). 108.1573 + 249 is equal to 357.1573.

7 0
3 years ago
40% of what number is 82
dezoksy [38]
It is 32.8 I just did %in my class today
6 0
3 years ago
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