Use the Special Right Triangle to evaluate sin 60°, cos 60° and tan 60°. Your answers should be exact (not a decimal). A. sin 60 = 1/2, cos 60 = √3/2, tan 60 = √3/3 B. sin 60 = √2/2, cos 60 = √2/2, tan 60 = 1 C. sin 60 = 1, cos 60 = 0, tan 60 = undefined D. sin 60 = √3/2, cos 60 = 1/2, tan 60 = √3

QUESTION POSTED AT 18/01/2020 - 05:50 AM

Answered by admin AT 18/01/2020 - 05:50 AM

Sin(60) = ¹/₂√3
cos(60) = ¹/₂
tan(60) = √3

The answer is D.
Post your answer

Related questions

Which scenario is represented by this equation? 1200 =3×+120

G. is your answer have a nice evening

ANSWERED AT 19/02/2020 - 06:08 PM


QUESTION POSTED AT 19/02/2020 - 06:08 PM

Find the sum. write the sum as a mixed number , so the fractional part is less than 1. 4 1/2 + 2 1/2 ?

To answer this problem:

1. 4+2 is 6
2. 1/2 +1/2 is 1 whole
3. After finding these two steps, you add 1 and 6 together giving you...
4. 1 + 6 is 7. 
That's your answer, hopefully this helped ;) 

ANSWERED AT 19/02/2020 - 06:02 PM


QUESTION POSTED AT 19/02/2020 - 06:02 PM

Find the value of x that fits the equation: 24x - (3 - 0.06x) = 4(0.7 + 6).

24x-3+0.06x=4(6.7)
24.06x-3=26.8
24.06x=29.8
x=about 1.24

ANSWERED AT 19/02/2020 - 06:01 PM


QUESTION POSTED AT 19/02/2020 - 06:01 PM

(3y^0 x^2)^6 times y^-3 zx8

Ok so some basic rules

(x^m)(x^n)=x^{m+n}
(ab)^c=(a^c)(b^c)
(x^m)^n=x^{mn}
x^0=1
x^{-m}= \frac{1}{x^m}

so
[(3y^0x^2)^6][y^{-3}zx^8]
[(3(1)x^2)^6][y^{-3}zx^8]
[(3x^2)^6][y^{-3}zx^8]
[(3^6)((x^2)^6)][y^{-3}zx^8]
[(3^6)(x^{12})][y^{-3}zx^8]
(3^6)(x^{12})(y^{-3})(z)(x^8)
(3^6)(x^{12})(x^8)(y^{-3})(z)
(3^6)(x^{20})(\frac{1}{y^3})(z)
\frac{3^6x^{20}z}{y^3}
\frac{729x^{20}z}{y^3}

ANSWERED AT 19/02/2020 - 05:17 PM


QUESTION POSTED AT 19/02/2020 - 05:17 PM

What is the area of a rectangle which is 57 cm long and its breadth is 34 cm? One weird question for you to answer, what's my name?

Area of a rectangle is length*width.
If length is is 57 cm and width is 34 cm, then area is 
(57 cm)(34 cm) = 1938 cm^2

ANSWERED AT 19/02/2020 - 05:01 PM


QUESTION POSTED AT 19/02/2020 - 05:01 PM

If it takes 5 hours for felicias phone to get on 1% how many hours will it take to get 100%

If it takes 5 hours for Felicia's phone to get to 1%, it will take x hours to get to 100%.

We need to find x.

So we can simply just say 5 • 100.

X = 500

So it would (unfortunately) take Felicia's phone 500 hours to get to 100%.

Hope this helped!

ANSWERED AT 19/02/2020 - 04:30 PM


QUESTION POSTED AT 19/02/2020 - 04:30 PM

A recipe asks for cup of milk. How much milk is needed to make of the recipe? A. cup B. cup C. cup D. 1 cup

C, it's always c, when in doubt, pick c

ANSWERED AT 19/02/2020 - 04:28 PM


QUESTION POSTED AT 19/02/2020 - 04:28 PM

A school sells boxes of cookies each year for a charity fund. The data set shows the number of boxes the 10 families living on Willow Avenue buy, on average, every year. {2, 3, 2, 2, 0, 5, 2, 1, 1, 3} Does this data have negative, positive, or zero skew?

Answer:

This data set has zero skew as it is symmetric.

Step-by-step explanation:

We know that the symmetry exist in a data when the mean, median and mode of the data is same.

i.e. we are given a set of data as:

              {2, 3, 2, 2, 0, 5, 2, 1, 1, 3}

  • On arranging the data in increasing order we get :

    0  1   1   2   2   2   2   3   3   5

Hence, the value that occur in the middle is: 2

Hence, we have Median=2

  • Also, the mean is calculated as follows:

Mean=\dfrac{2+3+2+2+0+5+2+1+1+3}{10}\\\\\\Mean=\dfrac{21}{10}\\\\\\i.e.\\\\\\Mean=2.1

              Hence, Mean=2.1

  • Also, the mode of the data is the most frequently occurring data point in the set.

Here 2 occurs most number of times i.e. 4 times and hence we have:

                   Mode=2

Now, as the Mean, Median and Mode of the data are approximately same.

      Hence, we get the data is symmetric and hence has a zero skew.

ANSWERED AT 19/02/2020 - 04:25 PM


QUESTION POSTED AT 19/02/2020 - 04:25 PM

(15–7xy^2)–(y^3–y^2x–15)

15 - 7xy^2 - (y^3 - y^2x - 15)

Distribute negative sign
15 - 7xy^2 + -1(y^3 - y2x - 15)
15 + -7xy^2 + -1y^3 + -1(-xy^2) + (-1)(-15)
15 + -7xy^2 + -y^3 + x^2 + 15

Combine like terms
15 + - 7xy^2 + -y^3 +xy^2 + 15
( -7xy^2 + xy^2) + (-y^3) + (15 + 15)
-6xy^2 + -y^3+ 30

= -6xy^2 + -y^3+ 30

ANSWERED AT 19/02/2020 - 04:00 PM


QUESTION POSTED AT 19/02/2020 - 04:00 PM

What is the slope of the line y=3?

The slope is 0
m=0

the line is flat at y=3

ANSWERED AT 19/02/2020 - 03:58 PM


QUESTION POSTED AT 19/02/2020 - 03:58 PM

15 is how many times more than 5? Write the expression not the answer.

Huh well, you can do 5 times x = 15 or 15/5 = x
x is the answer

ANSWERED AT 19/02/2020 - 03:57 PM


QUESTION POSTED AT 19/02/2020 - 03:57 PM

What is 1,0000 +1,00000 plz help

It is 1,01000 is the answer

ANSWERED AT 19/02/2020 - 03:51 PM


QUESTION POSTED AT 19/02/2020 - 03:51 PM

What kind of growth model (pattern) is shown in the table? x y 1 5 2 25 3 125 4 625 5 3,125 a. square root b. linear c. exponential d. quadratic

Answer:

Option C is correct.

The kind of growth model is shown in the table is exponential

Step-by-step explanation:

Exponential growth function is in the form of :  y = ab^x  ......[1];   where a is the initial value and b> 0.

Consider any two point from the table:

(1 , 5) and ( 2 , 25)

Substitute these in the equation [1] we get;

5 = ab^1         ......[2]

25 = ab^2      ......[3]

Divide equation [3] by [2] we have;

\frac{25}{5} = \frac{ab^2}{ab}

Simplify:

5 = b

Now substitute this value in equation [2] we get;

5 = a \times 5

Divide both sides by 5 we get;

\frac{5}{5} = \frac{5a}{5}

Simplify:

1=a or a = 1

Therefore, the table shown the  exponential growth function is, y = 5^x

ANSWERED AT 19/02/2020 - 03:44 PM


QUESTION POSTED AT 19/02/2020 - 03:44 PM

The greatest common factor of 18 and 27 is 3. True or false

False. The GCF of 18 and 27 is 9.

ANSWERED AT 19/02/2020 - 03:36 PM


QUESTION POSTED AT 19/02/2020 - 03:36 PM

The prime factors of 36 are 2^2 · 3^2. True or false

True. The prime factors of 36 are 2, 2, 3, and 3, or 2² and 3².

ANSWERED AT 19/02/2020 - 03:36 PM


QUESTION POSTED AT 19/02/2020 - 03:36 PM

State the property that is demonstrated: 3 · (8 · 4) = (3 · 8) · 4. A. Commutative B. Associative C. Distributive D. Additive

I believe it's the associative

ANSWERED AT 19/02/2020 - 03:19 PM


QUESTION POSTED AT 19/02/2020 - 03:19 PM

20% of a number is x. What is 100% of the number? Assume x>0.

100% of a number would be 5 * 20.

5x

ANSWERED AT 19/02/2020 - 02:47 PM


QUESTION POSTED AT 19/02/2020 - 02:47 PM

Katle owes mathias $10 and cabin $5 katle has $3 in her pocket what's the meaning of 0 in this situation

In this situation, the only 0 that could be found is the one that attached to 10.
For this, the 0 only represent the real value of the money,and basically nothing else.
It also represent the amount of money Katle has left, after borrowing $12 and pay all of his debt.

ANSWERED AT 19/02/2020 - 02:39 PM


QUESTION POSTED AT 19/02/2020 - 02:39 PM

The tip for excellent service in a restaurant is 20 for every 100 of the meal what is the total bill (cost of meal plus tip) for a 60 meal?

I would think the tip would be 15 wich would make the meal all together 85.

ANSWERED AT 19/02/2020 - 02:34 PM


QUESTION POSTED AT 19/02/2020 - 02:34 PM

Hannah has 127 books in her collection. Her school is hosting a book donation. There are z students at her school, and they each plan to donate the same number of books and reach a total donation of 300 books! How many books will Hannah have in her collection after her donation? Write your answer as an expression.

Answer:

b/50

Step-by-step explanation:                                                                          There were 150 students who donated a total of b books.

The students donated an average of b/150 books each.

Hannah donated 3 times as many books as the average.

b/150 * 3 = b/50

Hannah donated b/50 books.

ANSWERED AT 19/02/2020 - 02:30 PM


QUESTION POSTED AT 19/02/2020 - 02:30 PM

Find the value of "a" for which the graph of the first equation is perpendicular to the graph of the second equation. 1) equation : y=a/3x-6 2) equation 4x+2y=6 Their is the same problems but different equation.1) 3y+ax=8 2)3/4x+2

Perpendicular lines will have negative reciprocal slopes. Example : if u r given a slope of 1/3, to find the negative reciprocal, flip the slope and change the sign. So the negative reciprocal of 1/3 is -3/1 or just -3. So slope 1/3 and slope -3 are perpendicular.
==================
equation 2 : 
4x + 2y = 6
2y = -4x + 6
y = -2x + 3...the slope here is -2....a perpendicular line will have a slope of 1/2.

y = (a/3)x - 6......so we have to make a/3 = 1/2......1.5/3 = 1/2
so a = 1.5
===================
eq. 2 : 3/4x + 2
not sure what the entire equation is.....but it looks to have a slope of 3/4. That means a perpendicular line will have a slope of -4/3.

3y + ax = 9
3y = -ax + 9
y = (-a/3)x + 3.....therefore, a has to be 4


ANSWERED AT 19/02/2020 - 02:18 PM


QUESTION POSTED AT 19/02/2020 - 02:18 PM

Which of the following best describes the solution to the system of equations below? 7x + 4y = 8 7x + 4y = 13 A. The system of equations has exactly one solution where x=8 and y=13 . B. The system of equations has infinitely many solutions. C. The system of equations has no solution. D. The system of equations has exactly one solution where x=0 and y=2 .

The answer is D !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!                                                                               

ANSWERED AT 19/02/2020 - 01:34 PM


QUESTION POSTED AT 19/02/2020 - 01:34 PM

A line has a slope of - 4/5. Which ordered pairs could be points on a line that is perpendicular to this line? Check all that apply. a. (-2,0) and (2,5) b. (-4,5) and (4,-5) c. (-3,4) and (2,0) d. (1,-1) and (6,-5) e. (2,-1) and (10,9)

we know that

if two lines are perpendicular

then the product of their slopes is equal to minus one

so

m1*m2=-1

in this problem we have

m1=-\frac{4}{5}

the value of m2 must be equal to

m2=-\frac{1}{m1} =-\frac{1}{(-4/5)}=\frac{5}{4}

we know that

The formula to calculate the slope between two points is equal to

m=\frac{(y2-y1)}{(x2-x1)}

Find the slopes of each of ordered pairs and compare with m2

case a) (-2,0)\ and\ (2,5)

Substitute in the formula

m=\frac{(5-0)}{(2+2)}

m=\frac{(5)}{(4)}

The slope is equal to m2

so

The ordered pair case a)  could be points on a line that is perpendicular to the given  line

case b) (-4,5)\ and\ (4,-5)

Substitute in the formula

m=\frac{(-5-5)}{(4+4)}

m=\frac{(-10)}{(8)}

m=-\frac{5}{4}

The slope is not equal to m2

so

The ordered pair case b)  could not be points on a line that is perpendicular to the given  line

case c) (-3,4)\ and\ (2,0)

Substitute in the formula

m=\frac{(0-4)}{(2+3)}

m=\frac{(-4)}{(5)}

The slope is not equal to m2

so

The ordered pair case c)  could not be points on a line that is perpendicular to the given  line

case d) (1,-1)\ and\ (6,-5)

Substitute in the formula

m=\frac{(-5+1)}{(6-1)}

m=\frac{(-4)}{(5)}

The slope is not equal to m2

so

The ordered pair case d)  could not be points on a line that is perpendicular to the given  line

case e) (2,-1)\ and\ (10,9)

Substitute in the formula

m=\frac{(9+1)}{(10-2)}

m=\frac{(10)}{(8)}

m=\frac{5}{4}

The slope is equal to m2

so

The ordered pair case e)  could be points on a line that is perpendicular to the given  line

therefore

the answer is

(-2,0)\ and\ (2,5)\\(2,-1)\ and\ (10,9)

ANSWERED AT 19/02/2020 - 01:33 PM


QUESTION POSTED AT 19/02/2020 - 01:33 PM

What is the answer to 12 = 4/5w ?

12 =  \frac{4}{5} w
Multiply Crusader, we have:
4w = 12*5
4w = 60
w =  \frac{60}{4}
\boxed{w=15}

Confirm that the solution is correct:

12 = \frac{4}{5} w
12 = \frac{4}{5} *15
12 =  \frac{60}{5}
\boxed{12 = 12}(TRUE)

Answer:
\boxed{w=15}

ANSWERED AT 19/02/2020 - 01:09 PM


QUESTION POSTED AT 19/02/2020 - 01:09 PM

What is the decimal equivalent of 5/8?

0.625

It'd be 5 divided by 8 to be able to turn this fraction to a decimal.

ANSWERED AT 19/02/2020 - 12:47 PM


QUESTION POSTED AT 19/02/2020 - 12:47 PM

In the figure below, CEF is an equilateral triangle. Points B, C and E are collinear; Points A, C and F are collinear; g = 40 degrees; and k = 45 degrees. Find angle l. Show all work.

There exists the same question with the figure as shown in the attachment.

The given are:
g = 40 degrees
k = 45 degrees

Ask:
angle of " l "

So this is how to solve this:

Step 1:
Since CEF is an equilateral triangle, then each has 60 degrees.
i is equal to l because they are opposite angles

Step 2:
angle l is inside CEF, then the value of angle l is 60

ANSWERED AT 19/02/2020 - 12:21 PM


QUESTION POSTED AT 19/02/2020 - 12:21 PM