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aleksandrvk [35]
3 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?
Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0
Remark
The point value is (-2,5) So we know the two sides. We need the hypotenuse. We should notice that the x value is minus (-2) and value is y value is plus (5). That means we are in quad 2. Be careful how you read that. (-2,5) is a point. It is not a tangent.

Step One 
Find the hypotenuse.

a = - 2
b = 5
c =  ??

c^2 = a^2 + b^2
c^2 = (-2)^2 + 5^2
c^2 = 4 + 25
c^2 = 29               Take the square root of both sides.
sqrt(c^2) = sqrt(29)
c = sqrt(29)

Step Two
Find the Cosine of the angle.
Cosine(theta) = adjacent / hypotenuse
Cosine(theta) = -2 / sqrt(29)  <<<<<<< Answer

Again, watch out for what you are given.
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Factor completely, the expression: 2x^3-2x^2-12x
muminat
2x^3-2x^2-12x=2x(x^2-x-6)=(*)\\\\------------------------------\\x^2-x-6\\\\a=1;\ b=-1;\ c=-6\\\\\Delta=(-1)^2-4\cdot1\cdot(-6)=1+24=25\\\\\sqrt\Delta=\sqrt{25}=5\\\\x_1=\frac{1-5}{2\cdot1}=\frac{-4}{2}=-2;\ x_2=\frac{1+5}{2\cdot1}=\frac{6}{2}=3\\\\x^2-x-6=(x+2)(x-3)\\\\------------------------------\\\\(*)=2x(x+2)(x-3)
8 0
3 years ago
A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do t
Angelina_Jolie [31]

Answer: The wheel make 315 complete revolutions in one minute

Step-by-step explanation: Given speed of convertible =45 miles/hr

To answer this question you will need to know how many inches the car travels Per minute.

1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.

The convertible travels 0.75 mi./min.

2. Next you will convert this number of miles to inches.

There are 63,360 inches per mile.

0.75 x 63360 = 47520 inches per minute.

3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.

C = pi x d

3.14 x 48

C = 150.72 inches

Each rotation is about 150.72 inches.

4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.

47520/150.72 is about 315.3 rotations per minute.

8 0
3 years ago
Select the correct answer.
lara [203]
First convert them to fractions (the answer choices are fractions):

a) 0.333... = 1/3
b) 0.555... = 5/9

Now add a and b:

1/3 (or 3/9 for a common denominator) + 5/9 = 8/9

That fraction is in simplest form, so leave it as it is.

Hope this helps!
3 0
4 years ago
Zekia divides 6 cups of fruit juice equally among 8 friends. 2 of her friends don't drink the juice. How much is leftover? Thank
BlackZzzverrR [31]
6 = 8f - 2f
6 = 6f
f = 1

there is no leftover as each friend get 1 cup
5 0
4 years ago
Read 2 more answers
. Dinah bought 3 packages of ground beef. The packages weigh 3 3/4 pounds, 1 1/8 pounds, and 2 1/2 pounds. How many pounds of gr
IgorC [24]

Answer:

6 3/8

Step-by-step explanation:

Convert the fractions so that the denominators match.

3\frac{3}{4} =3\frac{6}{8}, then 3\frac{6}{8}=\frac{30}{8}

1\frac{1}{8}=\frac{9}{8}

2\frac{1}{2}=\frac{3}{2}, then \frac{3}{2}=\frac{12}{8}

Add up the fractions.

\frac{30}{8}+\frac{9}{8}+\frac{12}{8} =\frac{51}{8} =6\frac{3}{8}

8 0
3 years ago
Read 2 more answers
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