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Gre4nikov [31]
2 years ago
8

You spin a spinner with four numbers on it, and flip a coin. Find the probability of the compound event.

Mathematics
2 answers:
nikitadnepr [17]2 years ago
7 0

Answer:

I think 4/7 but i'm not sure.

Step-by-step explanation:

garik1379 [7]2 years ago
3 0

Answer:

it's 3/4 not sure

Step-by-step explanation:

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Please help. How do you find cosine, sine, cosecant and secant with this triangle? ​
Veseljchak [2.6K]

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

  • sine (sin) = opposite/hypotenuse
  • cosine (cos) = adjacent/hypotenuse
  • tangent (tan) = opposite/adjacent
  • cosecant (cosec/csc) = hypotenuse/opposite
  • secant (sec) = hypotenuse/adjacent
  • cotangent (cot) = adjacent/opposite
  • cosecant is the reciprocal of sine
  • secant is the reciprocal of cosine
  • cotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

  • Trigonometric Ratio
  • Adjacent = 12
  • Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

  • a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

  • 10²+12² = c²
  • 100+144 = c²
  • 244 = c²

Thus, the hypotenuse is:

\large \boxed{c = 2 \sqrt{61} }

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

  • cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = <u>(6√61) / 61</u>
  • sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = <u>(5√61) / 61</u>
  • cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = <u>√61/5</u>
  • secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = <u>√</u><u>61</u><u>/</u><u>6</u>

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

5 0
3 years ago
Solve for x. x3=8125 Enter your answer in the box as a fraction in simplest form. x =
drek231 [11]
The exact form of that is x=5 cube root of 65
4 0
2 years ago
Read 2 more answers
as a gift, you fill the calendar with packets of chocolate candy. Each packet has a volume of 2 cubic inches. Find the maximum n
qaws [65]
The picture of the calendar is shown in the attached image.

Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth 
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3

Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
                                                            = 96/2 
                                                            = 48 candies

Hope this helps :)

4 0
3 years ago
Derek decided to take a trip to France this summer. He had $30 in U.S. dollars to exchange for Euros. For every U.S. dollar, Der
DanielleElmas [232]
$ 1 U.S. dollar = 0.76 euros
so $ 30 U.S. dollars = (30 * 0.76) = 22.8 euros <==
4 0
3 years ago
Read 2 more answers
Find the values of the variables for the parallelogram if m&lt;1=4y-2. Round your answers to two decimal places if necessary!
hichkok12 [17]

The prallelogram whose adjacent sides are equal and one vertex angle is 90 degrees is a square.

The value of angle 1 is 90 degrees as the diagonal of the square intersect at 90 degrees.

\begin{gathered} 4y-2=90 \\ 4y=92 \\ y=23 \end{gathered}

The value of y is 23.

The diagonal of the square bisect the vertex angle hence the angle of 3x is 45 degrees.

\begin{gathered} 3x=45 \\ x=15 \end{gathered}

Thus, the value of x is 15 degrees.

The value of 12z is 45 degrees.

\begin{gathered} 12z=45 \\ z=3.75 \end{gathered}

Thus, the required value of z is 3.75 degrees.

3 0
1 year ago
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