The exact value of Tan 30 x sin 60

Answers

Answer 1

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}[/tex]

[tex]\quad \sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}[/tex]

[tex]=\frac{\sqrt{3}}{3}\times \frac{\sqrt{3}}{2}[/tex]

[tex]=\frac{3}{6}[/tex]

[tex]=\frac{1}{2}[/tex]

Answer 2

Answer:

[tex]1/2[/tex]

Step-by-step explanation:

Tan 30 = [tex]\frac{\sqrt{3} }{3}[/tex]

Sin 60 = [tex]\frac{\sqrt{3} }{2}[/tex]

Multiply the 2 roots you get my answer 1/2


Related Questions

Manish and Jhanavi each receive an equal bonus. Manish has 1/2 fraction of allowance as saving accounts , 1/4 of the fraction he spend at the mall. Jhanavi has 1/3 fraction of allowance as saving accounts , 3/5 of the fraction she spend at the mall. If the allowance of each is Rs. 2520,find the amount left with Manish and Jhanavi?

Answers

Answer:

Step-by-step explanation:

Manish:

[tex]Savings=\frac{1}{2}*2520\\\\= Rs.1260\\\\Amount spend at mall=\frac{1}{4}*2520\\\\=Rs.630[/tex]

Amount left with Manish = 2520 - (1260 + 630) = 2520 - 1890 = Rs. 630

Jhanavi:

Savings = (1/3) *2520 = Rs. 840

Amount spend at mall = (3/5) * 2520

                                   = 3 * 504

                                   = Rs. 1512

Amount left with Jhanavi = 2520 - (840 +1512) = 2520 - 2352

                                         = Rs. 168

A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remaining eggs were white in color. Which equation can be used to solve for w, the number of white eggs used last week?

Answers

46+w=231

w=185

# brown eggs (46) + # white eggs (w) = total # of eggs (231)

Answer:

231 - 46 = 185

Step-by-step explanation:

We know that the restaurant used 231 eggs last week. (That's a lot!)

That is out starting point. It doesn't change.

Then, it says 46 are brown eggs.

To find the number of white eggs, we know it must equal to 231 when added to the 46 brown eggs. Or, 46 + ? = 231.

So, we do the opposite operation of addition; subtraction.

Like this:

231 eggs - 46 brown = ? white eggs.

That equals 185 white eggs.

Keep up the EGGcellent work! ;)

-Bella,

BrainlyBluebell

1. X-3.3< 16.2 *
O x<19.5
O x> 19.5
O x< 12.9
O
X > 12.9

Answers

Answer:

x <19.5

Step-by-step explanation:

X-3.3< 16.2

Add 3.3 to each side

X-3.3+3.3< 16.2+3.3

x <19.5

Dada la función cuadrática () = + + . Determinar: a. Si la gráfica se abre hacia arriba o hacia abajo b. Las coordenadas del vértice c. El punto de corte con el eje de las y d. Los puntos de corte con el eje de las x e. El eje de simetría

Answers

Can u put it in another language?

a square rug has a perimeter of 64 cm. george says the side lenght of the square is 8cm . bob thinks it is 16cm. who is correct ?

Answers

Answer:

16 cm

Bob is correct

Step-by-step explanation:

Perimeter of a square = 4 × side’s length

Then

the side length = 64/4 = 16

Answer:

perimeter of square =4l

64/4cm=l

l=16cm

therefore

bob is correct.

I need help finding the surface area, can someone help

Answers

Answer:

1). Surface area of the prism = 112 cm²

2). Area of the sphere = 615.8 cm²

Step-by-step explanation:

1). Surface area of the triangular prism = Area of the triangular bases + Area of three lateral (rectangular) sides

Area of a triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                          = [tex]\frac{1}{2}(3)(7)[/tex]

                                          = 10.5 cm²

Area of a rectangle = Length × width

Area of the rectangular lateral sides = (3 × 5) + (8 × 5) + (7 × 5)

                                                            = 15 + 40 + 35

                                                            = 90 cm²

Surface area of the prism = (2 × 10.5) + 90

                                           = 21 + 90

                                           = 112 cm²

2). Surface area of the sphere = 4πr²

                                                  = 4π(7)²

                                                  = 615.75

                                                  ≈ 615.8 cm²  

Please help me simplify these expressions

Answers

Answer: First answer is a^2 b^3. Second one is 3m^2n^5. Thrid is 15x^7y^3

Step-by-step explanation:

1.  there is no numbers to multiply together, so just add the a's and b's

2.3 stands alone. add the m's and n's together. getting m^2 and n^5

3. Do 5*3 getting 15, add the x's together, same with the y's getting the answer of 15x^7y^3

Lmk if it helps. :)

What is the value of the expression below?
7-2-4.5x3-8


Answers

Answer:

6.5

Step-by-step explanation:

7-2=5-4.5=0.5

0.5ₓ3=1.5

8-1.5=6.5

at davidson's bike rentals it cost $48 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?

Answers

Answer:

About $5.33

Step-by-step explanation:

If u want to find out How many dollars per hour u do 48 divided by 9

Hope this helps

The bar graph shows the results of rolling a number cube (die) 50times. What is the experimental probability of rolling each of the number on the number cube?


Column A Column B
1. a. 18%
2. b. 8%
3. c. 22%
4. d. 16%
5. e. 20%
6.

Answers

Answer:

c. 22%

Step-by-step explanation:

sorry for no explanation


Classify the quadrilateral whose vertices are: A(3, 2); B(0,5);
C(-3, 2); D(0, -1). Select all that apply.
A) square
B) rhombus
C) trapezoid
D) parallelogram
E) rectangle
F) none of these

Answers

Answer:

select answers: A), B), C),  D), and E)

Step-by-step explanation:

Please see attached image with the figure obtained by joining the given points.

Notice that the figure is that of a square, and a square happens to be a very special case of a bunch of other figure definitions, like:

rectangle (four side figure with parallel sides and right angles at the vertices) So the square is a special type of rectangle.

Rhombus (four side figure with all sides of the same length) So the square is a special type of rhombus)

Trapezoid (four side figure with at least two parallel sides), So the square is a special type of trapezoid.

Parallelogram (four side figure with two pairs of parallel sides) So the square is a special type of parallelogram.

Therefore you need to select answers: A), B), C),  D), and E)

HELP PLS I WILL MARK BRAINLIEST!!!!!!!!!!!!

Answers

a

because it has the highest values from all the options from all the above

Please help. Sooooo confused. GOAL is a quadrilateral in which GO is parallel to AL. If the measures of angle G=angle O = 40 degrees. What are the measures of angle A send L. It is not mentioned that A is equal to L,so?

Answers

Answer:

Angle A and L are 140 degrees each.

Step-by-step explanation:

Since GO and AL are parallel to each other, we can use the same side interior theorem to figure out angle A and L. Let's focus on GA first. We know that same side interior angles are supplementary (sum is 180 degrees). We know angle G is 40 degrees, so to figure out angle A, you do 180-40 which equals 140. So angle A is 140 degrees. You repeat this process for OL and you should also get 140 degrees for L.

What is the slope? will mark brain

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

The slope is 3.

Step-by-step explanation:

The answer is 3( slope ) because

6÷2=3.

Improper fraction = 3/1

A large cooler contains 15 liters of iced tea and A small cooler contains 5 liters of iced tea how many more milliliters of iced tea does the large cooler contain than the small cooler?

Answers

Answer:

10000 ml

Step-by-step explanation:

1 liter =1000 ml

15 -5 = 10

10 * 1000= 10000

Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend. She purchased the
motorized scooter for $600 and is paying $18.75 a week to her friend until it is paid off.
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Select the equation and solution for the number of months, x, It takes her to have $150 left to pay.
A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
B. 18.75x - 600 = 150
Clarissa's sister will have $150 left to pay after 8 weeks.
C. -18.75x + 150 = 600
Clarissa's sister will have $150 left to pay after 24 weeks.
D. 18.75x - 150 = 600
Clarissa's sister will have $150 left to pay after 8 weeks.

Answers

Answer: A. -18.75x + 600 = 150

Clarissa's sister will have $150 left to pay after 24 weeks.

Step-by-step explanation:

Given, Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend.

Cost of scooter = $600

Weekly installment = $18.75

Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.

Let 'x' be the number of weeks .

Money she left to pay = (Cost of scooter ) - (Weekly installment) x (Number of weeks)

[tex]\Rightarrow\ 150=600-18.75x[/tex]

[tex]\Rightarrow\ 18.75x=600-150=450\\\\\Rightarrow\ x=\dfrac{450}{18.75}=\dfrac{45000}{1875}=24[/tex]

i.e. After 24 months when she has $150 left to pay for the motorized scooter.

Hence, the correct answer is :

A. -18.75x + 600 = 150

Clarissa's sister will have $150 left to pay after 24 weeks.

Answer:

B)-18.75x+600=150

Step-by-step explanation:

Got it right on my test!

URGENT!!! A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

Answer:

A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

c for child

a for adult

4c+ 6a ≤ 120  for build

4c +4a ≤ 100 for test

We want 20 child and 6 adult

4(20)+ 6*6 ≤ 120

80+36  ≤ 120

116  ≤ 120   true for build

4*20 +4*6 ≤ 100

80+24  ≤ 100

104 ≤ 100

False for test

Answer:

No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

Enter the equation for the graph.

Answers

Answer:

y = cos x

Step-by-step explanation:

The graph begins at (0, 1) and completes its first period at (2π, 1)  Thus the period of this function is 2π.  The amplitude is 1; this is the value that y takes on when x = 0.

Thus the equation of this graph is y = 1cos x, or y = cos x.

What is the decimal equivalent of the fraction 8/10

Answers

Answer:

0.8

Step-by-step explanation:

The fraction 8/10 is 0.8 as a decimal because you divide 8 by 10.

The decimal equivalent of 8/10 is equal to 0.8

What is a decimal number?

A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.

Given here:  The proper fraction is given as 8/10

All fractions can be converted into decimals by dividing the numerator by the denominator. For example, the fraction 45 represents 4 out of 5, or 4 divided by 5. This fraction can be converted into a decimal by dividing 4 by 5.

Thus we have 8/10=4/5

                              =0.8

Hence, the decimal equivalent of 8/10 is equal to 0.8

Learn more about fractions here:

https://brainly.com/question/29264210

#SPJ2

Please help! Correct answer only!


You can play a game with a wheel whose rim is divided into equal sections marked with the numbers from 1 to 20. If you play, the attendant will spin the wheel and a ball will land in a random section. If the number the ball lands on is even, you win $34. If the number the ball lands on is odd, you win nothing. If you play the game, what is the expected payoff?

Answers

Answer:

" Expected Payoff " - 17 Dollars ; Type in 17

Step-by-step explanation:

Consider the probability of landing in an odd section;

[tex]Sections of the Wheel - 20 Sections,\\Numbers Numbered On the Wheel - 1 To 20,\\\\Odd Numbers = Even Numbers,\\Odd Numbers = 20 / 2 = 10,\\Even Numbers = Odd Numbers = 10,\\\\Probability of Spinning Even - 10 / 20 = ( Simplified ) 1 / 2,\\Money Won = 34 Dollars,\\\\Proportionality - 1 / 2 = x / 34, Where, x = " Expected Payoff "\\1 / 2 = x / 34,\\2x = 34,\\x = 17 Dollars,\\\\Conclusion ; " Expected Payoff " = 17 Dollars[/tex]

Solution ; Provided Directly Above

Given 4 coordinate points — A(2, 0), B(4, 0), C(5, –2), D(1, –2) â€" identify the figure showing a
rotation of 180Âabout the origin O.

Answers

Answer:

Option B

Step-by-step explanation:

First we would identify the coordinates of the points before they are rotated.

A(2, 0), B(4, 0), C(5, -2), D(1, -2)

Plot a graph with the coordinates.

We find that the figure appears in the fourth quadrant.

Find attached the diagram.

To rotate the figure obtained by 180° about the origin zero, we would change the signs of the coordinates to become opposite.

That is positive sign becomes negative and vice versa:

A(-2, 0), B(-4, 0), C(-5, 2), D(-1, 2)

This implies that we rotated the figure 90° twice. When this is done, the figure would appear in second quadrant.

Plotting the new coordinates on a graph would give option B.

Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) – 6 = 0? A. (u + 2)^2 + 5(u + 2) – 6 = 0 where u = (x – 2) B. u^2 + 4 + 5u – 6 = 0 where u = (x – 2) C. u^2 + 5u – 6 = 0 where u = (x + 2) D. u^2 + u – 6 = 0 where u = (x + 2) (This is a question from Edg by the way)

Answers

Answer:

C. u^2 + 5u – 6 = 0 where u = (x + 2)

Step-by-step explanation:

(x + 2)^2 + 5(x + 2) – 6 = 0

Let u = x+2

(u)^2 + 5(u) – 6 = 0

Answer:

C.u^2+5u-6=0

Step-by-step explanation:

By comparing (x+2)^2+5(x+2)-6=0 to answer C,that is u^2+5u-6=0,u=(x+2).

By sustituting (x+2)into answer C,we get;

(x+2)^2+5(x+2)-6=0 which is the same as the quadriatic equation given in the question.

PLEASE HELP ASAP, BRAINLEST
Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5.

Enter your answer into the blank equation box.

Answers

Answer:

equation in standard form is  -3x + 5y = -26

Step-by-step explanation:

standard form of equation of line is

Ax + By = C

where A,B and C are integers.

such line has slope -A/B

Another form of line equation is slope intercept form, which can be written as

y = mx+ c

since in problem m = 3/5

thus, equation is

y = 3/5 x + c

Given that (2,-4) passes through this line, this point will satisfy the above equation

-4 = 3/5 *2 + c

=> - 4 = 6/5 + c

=> c = -4 -6/5 = (-4*5 - 6)/5

=> c = (-20 - 6)/5 = -26/5

Thus, equation in slope intercept form is

y = 3/5 x -26/5

lets rewrite this equation in  Ax + By = C

Multiplying LHS and RHS by 5 we have

5y =( 3/5 x)* 5 - (26/5 * 5)

=> 5y = 3x - 26

we have to bring 3x on LHS for that

we subtract 3x from both side

5y  -3x = 3x - 26 -3x

=> 5y  -3x =  - 26

rearranging the equation

-3x + 5y = -26

Thus, equation in standard form is  -3x + 5y = -26

The expression √7x is equivalent to the expression x√7
True or false

Answers

Answer:

False

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

√7x is the square root of 7x

while x√7x is equivalent to x multiplied ythe square root of 7

Convert the angle radians to degrees

Answers

Answer:

160 degrees

Step-by-step explanation:

To change from radians to degrees, multiply by 180 / pi

8 pi/9 * 180/pi

160 degrees

Using Ratios to Solve Problems - Item 1457 Question 4 of 7 Evan's family drove to a theme park for vacation. They drove the same speed throughout the trip. The first day, they drove 300 300 miles in 6 6 hours. The second day, they drove 250 250 miles in 5 5 hours. The third day, they arrived at the park after driving for 3 3 hours. How many miles did they drive on the third day?

Answers

Answer:

150 miles

distance travelled on the third day = 150 miles

Step-by-step explanation:

Note: it was given that they drove the same speed throughout the trip. That means their speed is constant for all days;

For the first day

distance = 300 miles

time = 6 hours

Speed = distance/time

Speed = 300/6 = 50 mph

on the third day;

time = 3 hours

Speed = speed on first day = 50 mph

distance = speed × time

distance = 50 mph × 3 hours

distance = 150 miles

distance travelled on the third day = 150 miles

please help i put a picture on top

Answers

Answer:

1/8÷7

Step-by-step explanation:

I think

Solve 0.48 ÷ 0.04 Help me please

Answers

Answer:

12

Step-by-step explanation:

[tex]0.48\div 0.04[/tex]

If you multiply both terms by 100, the result will be the same, because 100/100=1. You can therefore rewrite this as 48/4, which is equal to 12. Hope this helps!

Answer:

12

Step-by-step explanation:

0.48x100=48

0.04x100=4

48/4=12

How long would it take you to reach 100 for the number of times you did your activity from this graph?
PLEASE HELP NOW
ILL GIVE YOU BRAINLIEST

Answers

Answer:

33 1/3 minutes

Step-by-step explanation:

I note x- number of sentences

          y=time

when  x=3, y=1

          x=6, y= 2

           I observe that for every 3 sentences I have one more minute ( y increases by 1)  so y= x/3

when x=99 i have y=99/3=33 minutes

          for x= 100 I have y=100/3minutes= 33  1/3 minutes

Which of the following is not an attribute of parallelograms? Opposite sides are parallel. Consecutive angles are supplementary. Diagonals bisect each other. Diagonals are congruent.

Answers

Answer:

Diagonals are congruent

Step-by-step explanation:

The diagonals of a parallelogram are not congruent; one is longer than the other

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