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Vlad1618 [11]
2 years ago
13

There is a clown's face on the top of a spinner. The tip of his hat rotates to (−2, 5) during one spin. What is the cosine value

of this function?
−2


5


5 square root of 29 over 29


negative 2 square root of 29 over 29
Mathematics
1 answer:
Ivenika [448]2 years ago
6 0

Answer:

The last choice is your answer

Step-by-step explanation:

Plot your point in an x/y coordinate plane.  We are in QII where x is negative and y is positive.  From that point, if you drop an altitude to the negative x axis, you have a right triangle with a base measure of -2, a height of 5 and a hypotenuse that is unknown as of right now.  We will find it using Pythagorean's Theorem.  5^2+(-2)^2=c^2

The length of the hypotenuse is √29.  That means that the cosine of that angle is the side adjacent over the hypotenuse.  Rationalizing the denominator gives us -\frac{2\sqrt{29} }{29}

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This figure is 14 of a circle.
Wittaler [7]

Answer:

The perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.

Step-by-step explanation:

Given : A quarter of a circle with radius labeled 2 in.

Quarter of circle means fourth part of a circle  (as shown in image by shaded part).

We have to find the perimeter of this shaded quarter of circle.

Perimeter is the sum of the dimension of the given figure.

Perimeter of circle is 2\pi r

Since, we are given Quarter circle so its perimeter \frac{2}{4} \pi r+r+r=\frac{1}{2} \pi r+r+r

Perimeter of given figure = \frac{1}{2} \pi r+r+r

Perimeter of given figure = \frac{1}{2}\cdot 3.14 \cdot 2+2+2=3.14+4=7.14

Thus, the perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.

6 0
3 years ago
Read 2 more answers
Multiplying Binomials: (−2h+9)(9h−2) = ?
oee [108]
(−2h+9)(9h−2)

-18h^2 + 4h + 81h - 18

Answer: -18h^2 + 85h - 18
5 0
3 years ago
Need help. will give brainliest ​
Stella [2.4K]

Answer:

32. 24.

Step-by-step explanation:

hope this helps

7 0
3 years ago
Read 2 more answers
You throw two four-sided dice. Let the random variable X represent the maximum value of the two dice. Compute E(X). Round your a
Troyanec [42]

Answer:

E(X)=3.125

Step-by-step explanation:

We are given that two four sided dice.

Then , the sample space

{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)}

Total number of outcomes=16

Let the random variable X represent the maximum value of the two dice

Outcomes                            X                                 P(X)

(1,1)                                          1                                 1/16

(1,2),(2,1),(2,2)                                   2                        3/16

(1,3),(2,3),(3,1),(3,2),(3,3)                    3                           5/16  

(1,4),(3,4) ,(2,4),(4,1),(4,2),(4,3),(4,4)    4                            7/16

Using the probability formula

P(E)=\frac{Favorable\;outcomes}{Total\;number\;of\;outcomes}

Now,

E(X)=\sum_{i=1}^{n}x_iP(x_i)

E(x)=1(1/16)+2(3/16)+3(5/16)+4(7/16)

E(x)=\frac{1+6+15+28}{16}

E(x)=\frac{50}{16}=3.125

7 0
3 years ago
Please help
Alenkasestr [34]

Answer:

Domain: {-4, -2, 1, 2, 4}

Range: {-4, -2, -1, 1, 4}

The relation is a function.

Step-by-step explanation:

A <u>relation</u> is any set of ordered pairs, which can be thought of as (input, output).

A function is a <em>relation</em> in which no two ordered pairs have the same first component and different second components.

Remember that a function can only take on <u>one output for each input</u>. We cannot plug in a value and get out two values.

The Vertical Line Test allows us to know whether or not a graph is actually a function.  If a vertical line intersects the graph in all places <u><em>at exactly one point</em></u>, then the relation is a function.

I did the Vertical Line Test on your given graph. As you can see from the attached screenshot, each vertical line crosses the graph only once. Therefore, the given relation is a function.

The <u><em>domain</em></u> of the given relation is the set of x-values, while the <em><u>range</u></em> is the set of y-values. You'll have to list the ordered pairs in order to determine the domain and range of the given relation.

Relation:  {(-4, -1), (-2, 1), (1, -2), (2, 4), (4, -4)}.

Domain: {-4, -2, 1, 2, 4}

Range: {-4, -2, -1, 1, 4}

Please mark my answers as the Brainliest if you find my explanations helpful :)

4 0
3 years ago
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