Find the exact value of cos300°.

Answers

Answer 1

Answer:

ok it's simple

cos300° = 0.5 if you want a numerical value .....

Step-by-step explanation:

hopefully it will help you
Answer 2

Answer:

1/2

Explanation:

Exact value means put the calculator away and go to an x/y coordinate plane.  Set the angle up in standard position with the initial ray on the positive x-axis and the terminal ray will move counterclockwise around until is sweeps out a 300 degree angle.  That angle will be in the fourth quadrant, 60 degrees BELOW the x-axis you started on.  But we are not using the negative value, which is measured clockwise.  From the negative y axis that is the 270 degree line, we add 30 to that 270 and get the 300 degree angle we want.  Angles are always measured from the terminal ray to whichever x-axis its closest to.  From the terminal ray to the x-axis forms a 60 degree angle.  That means that the reference angle is 60.  The side across from a 60 degree angle in a 30-60-90 right triangle is square root of 3, but our side is in the negative y's so it is  .  Along the x axis is the side across from the 30 degree angle which is a +1.  The hypotenuse is 2.  These values are from the Pythagorean triple for a 30-60-90 right triangle and should be familiar at this point.  The cos identity is the side adjacent to the reference angle over the hypotenuse  so our exact value for cos 300 is 1/2.


Related Questions

Which characteristics will prove that DEF is a right, isosceles triangle?

Answers

Answer:

the slopes of DE and EF are opposite reciprocals make the triangle Δ DEF a right triangle.

Step-by-step explanation:

The characteristics will prove that Δ DEF is a right isosceles triangle is the lengths of DE and EF are congruent, and their slopes are opposite reciprocals.

Now, the equal sides of DE = EF make the triangle Δ DEF an isosceles triangle and the slopes of two perpendicular lines are always the opposite reciprocals.

So the correct answer would be: The lengths of DE and EF are congruent, and their slopes are opposite reciprocals.

A right-angle triangle with two equal sides forming that right angle must be a right isosceles triangle.

What is a right isosceles triangle?

A triangle that has  a right-angle and two equal sides is called a right-isosceles triangle.

Characteristics will prove that ΔDEF is a right isosceles triangle are as follows:

1. A right isosceles triangle must have a right angle.

2. Two sides of it must be equal. Obviously, the hypotenuse is the biggest side of the triangle. Apart from the hypotenuse, other two sides must be same. It will make their slope with the hypotenuse equal. Hence, the triangle will be also be isosceles.

Learn more about a right isosceles triangle here: https://brainly.com/question/21881466

#Tag #SPJ2

Select the 3 correct answers.

PLS ANSWER FAST GIVING BRAINLY TO CORRECT ONE

Answers

Answer:

a,c,f

Step-by-step explanation:

Answer:

A.

C.

F.

Hope this helped!

A circular swimming pool is 21 feet in diameter. What is the circumference
of the swimming pool? *

Answers

Answer:

66 feet

Step-by-step explanation:

diameter = 21 feet

circumference of circle = 2πr or πd

circumference of swimming pool = 22/7 * 21

                                                       = 22 * 3

                                                       = 66 feet

Hope this year is useful!!

Fatima surveyed a random sample of 80 students in her school about their
favorite type of pet. Of the students surveyed, 20 chose cats as their favorite
type of pet. If there are 597 total students at the school, what would be a valid
estimate for the number of students whose favorite type of pet is a cat?

Answers

Answer: 149

Step-by-step explanation:

out of 80 students, 20 said that they prefers cats, then the relative frequency is:

p =20/80 = 0.25

then, out of the 597 students a estimate of:

N = 0.25*597 = 149.25 like cats

We should round it down so we have a whole number, then we have a estimate of 149 students.

Answer152

Step-by-step explanation:

if u divide the 2 u will get 157

Find the surface are of the fish tank if the base is a regular octagon with side length 0.9 units and the height of the prism is 2 units

Answers

Answer:

19.11 square units

Step-by-step explanation:

The fish tank is composed by eight rectangles with base = 0.9 units and height = 2 units; and by a regular octagon at the bottom, which sides are 0.9 units long.

Area of each rectangle = 0.9*2 = 1.9 square units

Area of the regular octagon = 2*(1 + √2)*0.9² = 3.91 square units

Therefore:

Surface area of the fish tank = 8*1.9 + 3.91 = 19.11 square units

Use the distance formula and/or the Pythagorean Theorem to find the area of the triangle.
A) 8.4 square units
B) 20.5 square units
C) 41 square units
D) 60.5 square units

Answers

Answer:

B. 20.5 square units

Step-by-step explanation:

Area of a triangle = 1/2 * Base * Height

For the given triangle, the value for the sides will be the distance between adjacent points on the triangle. Look at the attached file for the explanation of the diagram.

Using the formula for finding the distance between two points to get the base and the height of the triangle.

D = √(x2-x1)²+(y2-y1)²

For side AB where A = (-3, -4) and B(2, 0)

AB = √(2-(-3))²+(0-(-4))²

AB = √5²+4²

AB = √25+16

AB = √41

AB = Height

For side BC where B = (2, 0) and C = (6, -5)

√(x2-x1)²+(y2-y1)²

BC = √6-2)²+(-5-0)²

BC= √4²+(-5)²

BC = √16+25

BC= √41

BC = base of the triangle

Area of the triangle = 1/2 * √41 * √41

Area of the triangle = 1/2 * 41

Area of the triangle =20.5square units

Which fraction is equivalent to
-3/2

Answers

Answer:

Examples are below

Step-by-step explanation:

-6/4, -9/6, -15/10, -18,12, and -24/16

Answer:

12/8

Step-by-step explanation:

one of the numbers wasn't taken so. Yeah.

Please help if you can
Thank you in advance:)

Answers

Answer:

Step-by-step explanation:

The diameter of the circle is the distance from the endpoint to another endpoint. The diameter of the given circle is segment PQ. To determine the diameter of the circle, we would apply the formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Therefore,

Diameter = √(1 - - 3)² + (9 - 5)²

Diameter = √4² + 4² = √32

Radius = diameter/2 = √32/2

A circle is the set of all points in a plane equidistant from a fixed point called the origin or center.

The center of the circle is determined by applying the midpoint formula

(x1 + x2)/2, (y1 + y2)/2

= (- 3 + 1)/2, (5 + 9)/2

Center = (- 1, 7)

The formula for determining the equation of a circle us expressed as

(x - h)² + (y - k)² = r²

Where

r represents the radius of the circle

h and k represents the x and y coordinates of the center of the circle. Comparing with the given points,

h = - 1 and k = 7

Substituting into the formula, it becomes

(x - h)² + (y - k)² = r²

(x - - 1)² + (y - 7)² = (√32/2)²

(x + 1)² + (y - 7)² = 32/4

(x + 1)² + (y - 7)² = 8

Find the surface area of a sphere with radius 5cm. Round your answer to the nearest tenth.

Answers

The surface area is 314.2

The formula of the sphere to find surface area is A = 4•3.14•r^2 , substitute 5 for r, then multiply 5^2, after you get that product then multiply it by 3.14/pi. Once you get that product, multiply that by 4 and you get the final product. Then round to the nearest tenth, which is how you get 314.2

question 8, 10 and 11 pleaseeeeeeeeeeee

Answers

Answer:

8 c ,10 b ,11 d

Step-by-step explanation:

The base diameter and the height of a cone are both equal to
x units.
Which expression represents the volume of the cone, in
cubic units?
A)Pix^2
B)2pix^2
C)1/3pix^2
D)1/12pix^3

Answers

Answer:

i would say d goodluck <3

Step-by-step explanation:

The organizers of a crossword competition stated the rules for how many participants would win prizes. The rules sald one of every three would
win a prize.
Which ratlo is equivalent to the ratio in this situation?
A.
10/5
B.
5/15
C.
12/3
D.
2/8

Answers

Answer: B

Step-by-step explanation: What is equivilent to 1/3? 1/3 * 5/5 = 5/15

When 25
218 x+2y-3x+12y+3) is simplified, what is the resulting expression?
1
17 / 3x + 27 3y + 6
Pox+2y+6
10x + 8 - 3y + 6
1
x
4Y+3

Answers

Answer:

[tex]\frac{25}{215x+14y+3}[/tex]

Step-by-step explanation:

When 25 218 x+2y-3x+12y+3) is simplified, what is the resulting expression? 1 17 / 3x + 27 3y + 6 Pox+2y+6 10x + 8 - 3y + 6 1 x 4Y+3.

[tex]\frac{25}{215x+14y+3}[/tex]

PLEASE ANSWER! SO DESPERATE

Answers

As you can see, the cube and the cylinder are the same height and width. But, if you use their 2d counterparts, a square and a circle, a circle always takes up 78.5% of the squares area. Knowing this, we can take this knowledge and see that the cube will have a greater volume.

Hope this helps :)

If a right triangle's hypotenuse is 17 units long, and one of its legs is 15 units long, how long is the other leg?

Answers

Answer:

8 units

Step-by-step explanation:

Hello!

So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that  c = [tex]\sqrt{{a}^2 + b^{2} }[/tex], where c is the hypotenuse and a and b are the legs of the triangle.

So, from the problem,  if c = 17 and a = 15, then, we're solving for b. So we'll rewrite the theorem to solve for b.

[tex]{c}^2 = {a}^2+{b}^2\\{c}^2-{a}^2={b}^2\\{b} = \sqrt{{c}^2-{a}^2}[/tex]

Okay, so now we have isolated the theorem for b. Let's plug in our values for c and a.

[tex]b = \sqrt{{17}^2-{15}^2}\\b = \sqrt{289-225}\\b = \sqrt{64}\\b = 8[/tex]

So, using the theorem, we found b = 8. To check our work, let's plug in b and a and solve for c.

[tex]c = \sqrt{{a}^2+{b}^2}}\\c = \sqrt{{15}^2+{8}^2}\\c = \sqrt{225+64}\\c = \sqrt{289}\\c = 17\\[/tex]

So, we got our hypotenuse to equal 17 units, which is correct! So, our b is correct too. Awesome

Each side of the square below is 8 inches.

A triangle inside of a square. The top of the triangle divides a side of the square into 2 equal parts of 4 inches. The triangle is shaded and the area to the right of the triangle is shaded.

What is the probability that a point chosen at random in the square is in the blue region?

Answers

Answer:

16%

Step-by-step explanation:

Answer:

.75

Step-by-step explanation:

Jacob is a registered nurse. He earns $68,000 per year. He must pay a $30 in taxes every $100 he earns. How much is Jacob's net income?

Answers

Answer:

$47,600

Step-by-step explanation:

Net income = total revenue - total expenses

NI= 68000 - (30)(680)

NI=68000-20400

NI=47600

Use the Internet to identify a major league ballpark in which the distance from home plate to the center field fence and the height of the center field fence require that a ball hit 2 ft above the ground will necessitate an angle of elevation less than to just clear the center-field fence.

Answers

Answer: According to me, it is :

A height of 2 feet above the ground and angle of elevation of 86 degrees. 

Assuming that the form of our problem is a right triangle, we can solve for the remaining angle:

180 - (90+86) = 4 degrees

The distance from the home plate to the centerfield is

2/sin 4 = x / sin 86

solve for x

x = 28.60 feet....

HOPE IT HELPS YOU

HAVE A GOOD DAY ☺️❤️

If you want give me brainliest..

The height of the center field fence require that a ball hit 2 ft is equal to 28.60 feets

The sine is the ratio between the opposite side and the hypotenuse of a right triangle, that is, it is a trigonometric ratio. It is worth remembering that ratio or trigonometric relation is the study of the angles of a right triangle.

How to calculate sine?

It is the ratio of the opposite side to the hypotenuse, that is:

[tex]Sen \theta = opposite \ side/hypotenuse[/tex]

Assuming that the form of our problem is a right triangle, we can solve for the remaining angle:

[tex]180 - (90+86) = 4 degrees\\2/sin (4) = x / sin (86)\\x = 28.60 feet[/tex]

See more about sine at brainly.com/question/3554369

Becky's mother works in an office, and her father works in a hospital. They both walk to work from home every day. Each unit on the graph is equal
to 1 block
Becky's mother walks
to reach her office, which is
farther than Becky's father walks to reach the hospital,

Answers

Answer:

I think she walks 14 blocks to get to her office and 4 blocks to reach the hospital. I had this question too and i figured it out

Step-by-step explanation:

hope this helped :3 have a nice day!! :) :)

Answer:

14 block , 4 block

Step-by-step explanation:

Please help


Find the Area of the composite figure

Answers

Answer:

Your answer is B.), 26 in.²

Step-by-step explanation:

So, what you do is you have to split it into two different shapes, find the areas of those, and then "put them back together" (add them together).

So, what I did is I made the whole top part one shape and then the bottom part. Here are the dimensions:

Top Part: 2 in. × 9 in.

Bottom Part: 4 in. × 2 in.

Now, you multiply and add them.

Top Part:

[tex]2*9=18[/tex]

Bottom Part:

[tex]4*2=8[/tex]

Add:

[tex]18+8=26in.^{2}[/tex]

Since it's a 2-dimensional figure, do not forget that when you label, you have to put a "2," as in "squared," like it's an exponent, but know that it is not an exponent. It's just so that people know, when looking at it, that it's the area of a 2-dimensional figure.

wht is 555 times 0??

Answers

Answer:

0

Step-by-step explanation:

Answer:

0

Step-by-step explanatio

Find the value of x will give brainiest whoever answers first

Answers

Answer:

i think its 80

Answer:

80⁰

Step-by-step explanation:

x = sum of alternate angles

x = 50 + 30

x = 80⁰

7 of 8
Here is a list of numbers:
3.8, 9.8, 10, 0.7, 0.3, 4.1,7.6,2.9,1.1,9.9
State the median.

Answers

Answer:

Your median is 4.1.

Step-by-step explanation:

What is the median

The median is a measure of central tendency. It represents the value for which 50% of observations a lower and 50% are higher. Put simply, it is the value at the center of the sorted observations.

Median formulas

This calculator uses two different formulas for calculating the median, depending on whether the number of observations is odd, or it is even when the number of observations is odd the formula.

Answer:

3.95

Step-by-step explanation:

Order the numbers from least to greatest:

0.3, 0.7, 1.1, 2.9, 3.8, 4.1, 7.6, 9.8, 9.9, 10

Find the numbers in the middle:

3.8, 4.1

Find the mean of these two numbers:

(3.8+4.1)/2

3.95

the question and answers are below

Answers

Answer:

Option J; 64π square cm

Step-by-step explanation:

See attachment below;

Suppose you have a set of measurements. What additional information would you need to describe the accuracy of the measurements?
A. the precision of the measurements
B. a second set of identical measurements
C. the expected value for the measurements
D. a set of measurements made with a different instrument

Answers

Answer:

D

Step-by-step explanation:

Simplify the expression.
[tex]\sqrt[1]{10}[/tex]

Answers

The answer would just be 10 :)

i have to find the slope

Answers

Answer:

m=-6

Step-by-step explanation:

slope formula:

m=(y2-y1)/(x2-x1)

m= (-16--10)/(2-1)

m=(-6)/(1)

m=-6

A school club had a T-shirt sale to raise money. After the sale, an inventory showed that 108 blue T-shirts and 96 green T-shirts had been sold. The sizes of these T-shirts included 60 small, 86 medium, and 58 large. Which table correctly represents the data? *
A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

a table must have 108 blue shirts in total and 96 green shirts

first you add them to find out if the blue shirts have 108

you also need to make sure if green has 96 shirts too

i hope this was helpful

How many boxes of fish can fit in the shipping box? Explain your answer, will give brainlest!

Answers

Answer:

2340 boxes

Step-by-step explanation:

to find out how many boxes or cans fit there u need to know the volume of the box and the cans or boxes

v= l*w*h

v= volume

l=length

w=width

h=height

first lets find the volume of one can or box of fish food

the length, the width, and the height are the same which is 1/4, so cube 1/4 or 1/4*1/4*1/4

1/4*1/4*1/4= 1/16 *1/4= 1/64

Now u have to find the volume of the shipping box, so the length is 3 3/4, the width is 3, and the height is 3 1/4

3 3/4*3*3 1/4= 15/4*3/1*13/4

15/4*3/1*13/4= 45/4*13/4 = 585/16

now divided the volume of shipping box by the volume of fish food boxes

585/16 divided by 1/64 and now u do the KFC or the keep flip change

u keep the 585/16 and then flip the sign to multiplication and then change the last number to 64/1

585/16 times 64/1= 37440/16 or 2340

Can someone please please help

Answers

Answer:No

Step-by-step explanation:The side lengths do not make a right triangle, so it can't be tangent.

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