How many triangles exist with the given angle measures?

Answer:

because cosine dependency on sine - 1

Step-by-step explanation:

The unit circle has a radius of one, so the hypotenuse is 1. Sine is opposite over hypotenuse. Since the hypotenuse is 1, sine on the unit circle is the opposite side. When you look at the unit circle, the opposite side is perpendicular to the x-axis. This means that, essentially, the opposite side is the height from, or the distance from, the x-axis, which is the y-value.

a unit circle (a circle with radius one), is that if you draw a right triangle where the hypotenuse of the triangle connects a point on the unit circle with the point (0, 0), the length of the hypotenuse is always going to be one. Because that's the radius of the circle! And the length of the other two sides are just going to be the x and y coordinates of the point on the unit circle.

Take a little time drawing right triangles were the hypotenuse connects the middle of the unit circle to a point on the circle and see if you can convince yourself that this is the case.

So you have a right triangle where one side length is the x-coordinate and one side length is the y-coordinate, and the hypotenuse is equal to 1. This means you can figure out the sine and cosine of the angle that the hypotenuse and the x-axis make:

The cosine is the length of the adjacent side (which is the x-coordinate) divided by the length of the hypotenuse (which is 1). So the cosine is just the x-coordinate!

Similarly, the sine is the length of the opposite side (which is the length of the y-coordinate) divided by the length of the hypotenuse (which is 1). So the sine is the y-coordinate.

The trigonometric ratio defining the tangent (opposite over adjacent) may be less intuitive from the unit circle, but I hope you can see from the unit circle why the tangent of an angle is equal to the sine of the angle over the cosine.

Answer:

129 1/3

Step-by-step explanation:

According to Alcumus, "There are 20 square posts which are not on a corner, so there are $20/4=5$ square posts on each side, not including the corner posts. Including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts. Altogether the length of a side is $7\left(\frac{1}{3}\right)+6(5)=32\frac{1}{3}$ feet. The perimeter of the square is four times the side length, so the perimeter is $4\cdot 32\frac{1}{3}=\boxed{129\frac{1}{3}}$ feet."

The outer perimeter is 129 1/3 feet.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Twenty-four 4-inch wide square posts are evenly spaced with 5 feet.

So, there are $20/4

                   =5$ square posts on each side, not including the corner posts.

and, including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts.

Then, the length of a side is

= 7 1/3 + 6(5)

= 32 1/3 feet

and, The perimeter of the square

= 4 x 32 1/3

= 129 1/3 feet

Learn more about Unitary Method here:

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Answer: Depends on what your talking about so I'll give all 3 definitions.

Step-by-step explanation:

1.)The literal or primary meaning of a word, in contrast to the feelings or ideas that the word suggests.

-Used in a sentence- Beyond their immediate denotation, the words have a connotative power.

2.) When used in philosophy it means, the object or concept to which a term refers, or the set of objects of which a predicate is true.

3.) And, the last definition is, the action or process of indicating or referring to something by means of a word, symbol, etc.

84−3(17(60−15))

=84−3(17)(45)

=84−(3)(765)

=84−2295

=−2211

Hope this Helped!

Answer:

the population is around 150-200 if im correct

Answer:

188 eagles

Step-by-step explanation

I would set a proportion for eagles

16/120 = 25/x

Which would equal

16x/16 = 3000/16

Which equals

187.50 which rounds to 188

The answer is 188 eagles  

Answer:

The y-intercept of function g located at (0,2)

Step-by-step explanation:

Function :[tex]g(x)=x^2+2[/tex]

g(x) is a transformation of the quadratic parent function

We are supposed to find the where is the y-intercept of function g located

y intercept = the y-coordinate of a point where a line, curve, or surface intersects the y-axis i.e. x =0

So, substitute x = 0 in function

g(x)=x^2+2

g(0)=0^2+2

g(0)=2

So,(x,y)=(0,2)

So, The y-intercept of function g located at (0,2)

Answer:

c

Step-by-step explanation:

Answer:

480

Step-by-step explanation:

hundreds digit is 4 more then the units digit and the tens digit is twice the the hundreds digit.

Unit digit x 0

hundreds digit is x4) 4

tens digit 2(x+4) = 8

The sum of the digit is 12

(x+4) +2 (x+4) +x=12

4x +12= 12

4x=0

x=0

Answer:

480

Step-by-step explanation:

Answer:

(x+7)(x-4)

Step-by-step explanation:

(x^2-4x)+(7x-28)

=x(x-4)+7(x-4)

=(x+7)(x-4)

Answer:

V=πr2h /3

Step-by-step explanation:

Answer:

V=πr2h /3

Step-by-step explanation:

Answer:  Rose

Step-by-step explanation:

Aiyanna.  1/3 of 42=  14.        1/3 =  7/21

Rose.       4/7 of 42 = 24       4/7 =  12/21    

Answer:

Aiyanna.  1/3 of 42=  14.        1/3 =  7/21

Rose.       4/7 of 42 = 24       4/7 =  12/21  

Step-by-step explanation:

Answer:

27, 12, 9, 6, 4, 3

Step-by-step explanation:

please vote me brainliest

Answer:

a) 10x + 8 = 21

b) x = 1.3

Step-by-step explanation:

The line of symmetry is a vertical line that passes through point C.

That makes sides BC and CD congruent, and sides AB and ED congruent.

perimeter = AB + BC + CD + DE + EA

perimeter = 2x + 3 + x + 1 + x + 1 + 2x + 3 + 4x = 10x + 8

perimeter = 21

a) Equation:

10x + 8 = 21

b)

10x + 8 = 21

10x = 13

x = 1.3

Answer:

The percentage of the heights that lie within one standard deviation of the mean height is 68%.

Step-by-step explanation:

Here it is given that the heights of adult males of a population are distributed normally.

The Empirical Rule states that in a normal distribution with mean µ and standard deviation σ, nearly all the data will fall within 3 standard deviations of the mean. The empirical rule can be divided into three parts:

        That is P (µ - σ ≤ X ≤ µ + σ) = 0.68.

        That is P (µ - 2σ ≤ X ≤ µ + 2σ) = 0.95.

        That is P (µ - 3σ ≤ X ≤ µ + 3σ) = 0.997.

So, the percentage of the heights that lie within one standard deviation of the mean height is 68%.

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

n = -12

Step-by-step explanation:

plug -12 in for n and its -2 x -12 which equals 24

Answer:

n = -12

Step-by-step explanation:

hope it helps!!

Answer:

Amanda's box volume is 70 cm^3 greater than Mary's

Step-by-step explanation:

Find and then compare the volumes of the two boxes:

Amanda's:  10*10*13.5 cm^3 = 1350 cm^3

Mary's:  8*8*20 = 1280 cm^3

Amanda's box volume is 70 cm^3 greater than Mary's.

Answer:

The answer is A.

Step-by-step explanation:

Look at the attached picture

Hope it will help you....

Good luck on your assignment

Answer:

for number  one the it is c

Step-by-step explanation:

(6-3)^2

3^2=9

because 3 times 3 equal to 9

it just like saying what  is the answer when you multiply the number by its self

Answer:

8

Step-by-step explanation:

2 x 2 = 4 x 2 = 8

10x + 8 = 21

x = 1.3

Step-by-step explanation:

a)

In pentagon ABCDE,

AB = DE = 2x + 3 and BC = CD = x + 1

Perimeter of pentagon ABCDE = 21

4x + 2(2x + 3) + 2(x + 1) = 21

4x + 4x + 6 + 2x + 2 = 21

[tex] \purple {\boxed {\bold{10x + 8 = 21}}} [/tex]

b)

10x = 21 - 8

10x = 13

[tex]x = \frac{13}{10} \\ x = 1.3 \: cm [/tex]

STEP BY STEP EXPLANATION BOIZ:

A) AB + BC × 2 + AE = 21

B)  The value of x is 1.3

Answer:

Step-by-step explanation:

We have been given a table that represents the altitude of an airplane with passing minutes.

Since we know that equation of a line in slope-intercept form is: y=mx+b, where, m = Slope of the line and b = y-intercept.

To find the equation of line we will have to the slope of our given line using values from table.

m=\frac{y_2-y_1}{x_2-x_1}, where,

y_2-y_1 = Change in two y-coordinates.

x_2-x_1 = Change in the corresponding x-coordinates.

Upon substituting the coordinates of point (1, 35000) and (2, 31000) we will get our slope as:

m=\frac{31000-35000}{2-1}

m=\frac{-4000}{1}=-4000

Now let us find y-intercept of our given line by substituting m=-4000 and the coordinates of point (1, 35000) in slope intercept form of equation.

31000=-4000*1+b

31000=-4000+b

31000+4000=-4000+4000+b

35000=b

Upon substituting the value of slope and y-intercept the equation of line will be:

a=-4000m+35,000

Therefore, the equation representing the change in altitude a after m minutes is a=-4000m+35,000 and option A is the correct choice.

Width (7.8) x length (7.8) x width (7.8) = 474.552

Answer:

£1481

Step-by-step explanation:

First find the cumulative frequency of the child tickets. You should get 58.

Then multiply this by the price of the child tickets.

58x12.50=£725

Then, to work out the number of adults, we subtract 58 from 100

100-58=42

Then multiply this by the price of adult tickets.

42x18=£756

Add both prices together to get your answer.

725+756=£1481

The number of money that should be raised should be £1481.

Here first we find the cumulative frequency of the child tickets. So it is 58

Now the money should be

= 58(12.50)

= 725

Now the work out the no of adults should be

= 100 - 58

= 42

Now

= 42(18)

= 756

Now the total price should be

= 725+756

=£1481

Hence, The number of money that should be raised should be £1481.

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Answer:12-J 3.169 meters

13-B $11.46

Answer:

12-J 3.169 meters

13-B $11.46

Step-by-step explanation:

Answer:

The range is 9 i think I'm not sure.

step-by-step explanation:

Answer:

#11: 1180.428 571

#12: 80.166... repeating

#13: 237.5

#14: 686

#15: 2682.333 repeating

#16: 122

Step-by-step explanation:

Hopes this helps. Also #12 and #15 are repeating. Just FYI.

Answer:

x^5 = x^n

Step-by-step explanation:

x^9*x^-4=x^n

x^5 = x^n