evalute sin 60. cos 30 sin +sin 30 .cos 60 what is the value of sin(30-60) what can you conclude​

Answers

Answer 1

Answer:

See explanations below

Step-by-step explanation:

evaluate sin 60. cos 30 sin +sin 30 .cos 60 what is the value of sin(30-60) what can you conclude​

According to the trigonometry identity

Sin 30  = 1/2

Sin 60 = √3/2

Cos 30 = √3/2

Cos 60 = 1/2

sin 60. cos 30 +sin 30 .cos 60

= √3/2(√3/2) + 1/2(1/2)

= √9/4 + 1/4

= 3/4 + 1/4

= 4/4

= 1

sin(30-60) = sin30cos60 - cos30sin60

sin(30-60) =1/2(1/2) - √3/2(√3/2)

sin(30-60) = 1/4 -  √9/4

sin(30-60) = 1/4 - 3/4

sin(30-60) = (1-3)/4

sin(30-60) = -2/4

sin(30-60)  = -1/2

hence the former fraction gives a positive values while the later gives a negative


Related Questions

A function, f(x),represents the height of a plant x months after being planted. Students measure and record the height on a
Select the appropriate domain for this situation.
OA.
the set of all real numbers
OB.
the set of all integers
O c.
the set of all positive integers
OD
the set of all positive real numbers

Answers

Answer:

I think the answer would be A or B, the best would be B.

Step-by-step explanation:

K so since it is monthly, it would not be all positive data. So you are left with A or B. Integers are numbers that are positive and negative so since the data can be a range of positive and negative numbers, that is why the data set of all integers (b) is the best choice.

Your welcome :D

If f(x) = 3x + 2, what is f(5)?

Answers

Hi there!

[tex]\large\boxed{f(5) = 17}}[/tex]

f(x) = 3x + 2, find f(5):

To find f(5), we simply substitute in 5 for x:

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

look at screenshot for question

Answers

Answer:

I think it is the first one as you add the 4 like from the other

is it possible to have the ordered number pair 3;7 on the graph​

Answers

Answer:

Yes it is possible. Start at (0,0) which is the orgin and go right on the x-axis 3 spaces, and go up on the y-axis 7 spaces to get to the ordered pair of (3,7).

Step-by-step explanation:

Bill needs to read 3 novels each month.
Let N be the number of novels Bill needs to read in M months.
Write an equation relating N to M. Then use this equation to find the number of novels Bill needs to read in 19 months.

Write the equation?

Number of the novels in 19 months: _ novels

Answers

Answer:

Each month Bill reads 3 novels so you get

N = 3m

If you plug in 6 for m we get

N = 3(6) = 18

Bill needs to read 18 novels in 19 months

Step-by-step explanation:

Un muchacho le dijo a otro. "adivina cuántos años tengo si las dos terceras partes de ellos menos 1 es igual a mi edad actual menos 6".

Answers

Answer:

The age of the boy is 15 years

Step-by-step explanation:

Let us assume a be the age of the boy

So, two-third of his age is 2 ÷ 3 × a

As the boy said that two-third minus 1 so it would be equivalent to

  2 ÷ 3 × to - 1

ANd, his current age is a and now if we deduct 6 so

a - 6

AFter this, two-third minus 1 is equivalent to a minus 6

So,  

 2 ÷ 3 × a - 1 = a - 6

- 1 + 6 = a -  2 ÷ 3 × a  

5 =  1 ÷ 3 × a  

a = 3 × 5

 = 15

Hence, The age of the boy is 15 years

a cylinder with the radius of 12 feet and height of 1.2 feet. What is the total surface area of the cylinder in square feet?

Answers

Answer:

995.26

Step-by-step explanation:

I'm not sure but this is what I got

Which is the cosine ratio of ∠A?

ACB is right angle triangle. The length of AC is 28, the length of CB is 195, and the length of AB is 197.

A. 195197
B. 28197
C. 28195
D. 19528

Answers

Answer:

d . 19528

Step-by-step explanation:

maaf jika salah

help-

1. half a number, less 3, is 8
2. the area decreased by 7 is 14

Answers

Answer:

. the area decreased by 7 is 14

Find the value of x that makes the equation true:

16 - x = 4

x = 18
x = 20
x = 14
x = 12

Answers

16 - x = 4
16 - 12 = 4
x = 12
Find the value of x that makes the equation true:

16 - x = 4


x = 12

Slove the system of linear equations by graphing y=-x+7 y=x-1

Answers

x = 4, y = 3


add the two linear equations together: 2y = 6

now that we know y = 3, solve for x by substituting it in

8[x-y] use x=5 and y=2

Answers

Answer:

24

Step-by-step explanation:

Plugin the value of x and y

8[x + y] = 8*[5 - 2]

            = 8 *3

            = 24

Answer:

24

Step-by-step explanation:

8(5-2)

5-2=3

8 times 3=24

plz can i get brainliest:)

What are the integer solutions to the inequality below?

2

x
<
2

Answers

Flfkfjcjcjcnccnncjvmvmv

What is the volume of a sphere with a radius of 60.5 ft, rounded to the nearest tenth
of a cubic foot?

Answers

Answer:

If rounded to the nearest tenth of a cubic foot, would be: 927587.2

Step-by-step explanation:

The equation of finding the equation of the volume of a sphere is "4π[tex]\frac{radius^{3} }{3}[/tex]"

If values are inserted in for radius as 60.5, the answer will be 927587.2 when rounded to the nearest tenths.

Hope this helps!

Elena is graduating from high school. She will attend a private, 4-year university and study to become a Certified Public Accountant. The annual cost for her tuition, room and board, and books is $22,255. Elena's parents have a college fund with $ 54,000 to help with the costs. Elena received a scholarship for $500 per semester for four years .

Answers

Answer:

Reminder to eat drink and take care. :)

Step-by-step explanation:

Answer:

8,255 reminder to eat today

Plz Help me this is already overdue

Answers

Answer:

2nd Column: [tex]\frac{39-78}{25-59}[/tex]

3rd Column:[tex]1.56[/tex]

Step-by-step explanation:

2) For this, just follow the formula given underneath the chart.

3) Here, simplify the equation used in the 2nd Column.  [tex]\frac{39-78}{25-50} = \frac{-39}{-25} = -1.56[/tex]

Kim is repainting a storage trunk shaped like a rectangular prism as shown.

Kim will paint all the faces of the outside of the storage trunk when it is closed. How many square feet will Kim paint?

Answers

Answer:

i got 54ft^2

Step-by-step explanation:

simplify the screenshot below

Answers

Answer:

-4x - 16y

Step-by-step explanation:

Given:

-4(3x - 2x + 4y)

Required:

Simplify

Solution:

To simplify, apply the distributive property by multiplying every term that is inside the brackets by -4

Thus:

-4*3x -4*-2x -4*+4y

-12x + 8x - 16y

Add like terms

-4x - 16y

What is the mode of the data set? {32, 29, 35, 25, 32, 22, 30} Enter your answer in the box.

Answers

Answer:

beleive its 35

Step-by-step explanation:

Answer:

The mode hear is 32

Step-by-step explanation:

The mode is the number seen the most in a selected group.

Here is a Mnemonic to help remember what the 3 M's are:

'Hey diddle, diddle

the medians in the middle

add and divide for the mean

the mode is the one that you see the most

and the range is the difference between'

I need help with this
[tex] \sqrt[3]{4} \times \sqrt{3} [/tex]
25 points.​

Answers

Step-by-step explanation:

[tex]\sqrt[3]{4}[/tex][tex]\\\sqrt{3}[/tex]=[tex]\sqrt[6]{432}[/tex]

[tex]4^{1/3}[/tex][tex]3^{1/2}[/tex]=[tex]432^{1/6}[/tex]

Hope that helps :)

A right prism has a volume of 65 cubic inches. The prism is enlarged so its height is increased by a factor of 20, but the other dimensions do not change. What is the new volume? A. 1000in.3 B. 1300in.3 C. 1200in.3 D. 1100in.3

Answers

Answer:

The answer is B, have a wonderful day!

Step-by-step explanation:

6(x-2)=-18 what does x=

Answers

Answer:

x = -1

Step by step explanation:

Distribute 6

6x-12= -18

Add 12 to both sides

6x= -6

Divide both sides by 6

x= -1

Hope this helps

was 10 years and 6 months old when I moved to Mumbai. have been living in Mumbai for the past 13

years 11 months. What is my age now?​

Answers

24 years and 5 months

add 13 years to ten get 23 add 6 to 11 to get 1 year and 5 months

23 plus 1 years and 5 months = 24 years an 5months

have a nice day please mark brainliest

which of the following fractions converts to a repeating decimal? a. 7/16 B.5/8 C. 2/3 D.4/10

Answers

Answer:

B

Step-by-step explanation:

Michelle counted 40 green cars and 20 silver cars in the parking lot. If
the number of green cars stays the same, how many more silver cars
would need to be added so the ratio of green cars to silver cars is 1 to 3?

Answers

Answer:

100 more silver cars

Step-by-step explanation:

Right now the ratio of silver cars to green cars is 20:40 or 1:2, but if you add a hundred more silvers cars the ratio would 120:40 or 3:1.

someone help this question is worth 50 points! What ratios are equivalent to the ratio 24:4

A.) 6:1
B.) 12:2
C.) 4:24
D.) 48:8
E.) 18:3
F:) 1:6

Answers

Step-by-step explanation:

just put the ratios into a fraction if x:y then x/y

A.)6/1=6

B.)12/2=6

C.)4/24=1/6

D.)48/8=6

E.)18/3=6

F.)1/6

24/4=6 so A, B, D, and E are equivilant to the ratio 24/4

Hope that helps :)

Answer:

6:1 ,12:2, 48:8

Step-by-step explanation:

24:4

24 ÷ 4 =6 and 4÷4 =1

6:1

24:4

24÷2 =12 , 4÷2=2,

12:2

48:8

24×2=48, 4×2=8

48:8

Find the value of x in the triangle shown below. ​

Answers

why dont u use a calculator
Yes you should use a calculator

A local charity receives 1/3 of funds raised during a craft fair and a bake sale. The total amount given to the charity was $137.45. How much did the bake sale raise?

(NEED ANSWER ASAP!!)

Answers

Answer:

$412.35

Step-by-step explanation:

Answer: $412.35

Step-by-step explanation:

$137.45 x 3 = $412.35 for the total that the bake sale raised.

Drag each sign or value to the correct location on the equation. Each sign or value can be used more than once, but not all signs and values will
be used.
The focus of a parabola is (-4,-5), and its directrix is y=-1. Fill in the missing terms and signs in the parabola's equation in standard form.

Answers

Answer: (x+4)² = -8 (y+3)

Step-by-step explanation: I got this correct on Edmentum.

Find the volume of an oblique circular cylinder that has a radius of five feet and a height

of three feet

Answers

Answer:

235.5 cubic feet

Step-by-step explanation:

The volume v of a circular cylinder whose base radius is r and height h is given as

v = πr^2h

where π is 22/7 or 3.14

Given that the radius is five feet and the height  is three feet

the volume v = 3.14 *5^2 * 3

= 235.5 cubic feet

The volume of the oblique circular cylinder is 235.5 cubic feet

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