Determine an exact value for sin _
3π/4-tan 5π/6

Answers

Answer 1

Answer:

[tex]\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex] or [tex]\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}[/tex]

Step-by-step explanation:

[tex]\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex]


Related Questions

Simplify the expression. 20 • 5–2

a) 25
b) –500
c) –200
d) 4/5

Answers

Answer: D) 4/5

Hope this helps :)

7. A hippopotamus weighs 1.5 tons. What is its weight in ounces

Answers

48000 ounces is the weight of the hippo
48,000 ounces! Hope this has helped you with your problem.

Two angles are supplementary angles if the sum of their measures is 180 degrees. Find the measures of two supplementary angles if the measure of one angle is 3 degrees less than twice the other.

Answers

Answer:

60 degrees and 119 degrees

if the smaller angle is x, then

x + 2x - 3 = 180

3x -3 + 3 = 180 + 3

3x/3 = 183/3

x=61

2(61) - 3 = 119

help me guys pls pls pls​

Answers

Answer:

figure      area     add        units (?)    (?)

Step-by-step explanation:

Might need a little more information

  last one can be   square feet      square yards    square inches   square cm  square meters   etc   etc     It depends on the dimensions of the figure which isn't shown.

A circle with radius of 1 cm sits inside a 11 cm x 12 cm rectangle.
What is the area of the shaded region?

Answers

Answer:

Hope the picture will help you.................

153 = 9k HELP PLEASE THANK YOU

Answers

Answer:

17

Step-by-step explanation:

the number that has the virible with it u divide that number with the number without the varible so 153/9 = 17 and 9k/9=1 so it is 17 the answer is what you got for the number without the varible

What’s the answer????

Answers

Answer:

i think its c

Step-by-step explanation:

sorry if im worng

Answer i believe its a or d

Step-by-step explanation:

im not to sure but i did try to do the math on it so.

Reduce the fraction 1602
-450

Answers

Answer:

the redued version of the fration 1602/420 is 3 14/25

Answer:

89/25

Step-by-step explanation:

you divide 1602 and 450

30 divided by 14 written as a fraction

Answers

Answer:

I believe your answer is 15/7

Let's solve.

    [tex]\frac{30}{14} =\frac{15 * 2}{7*2} =\frac{15}{7}[/tex]

Hope that helps!

PLEASE HELP
The pictures to the right show how much sausage and pepperoni pizza was left at the end of one day. Which fraction represents how much more sausage pizza then pepperoni pizza was left?

Answers

Answer:

3/8

Step-by-step explanation:

There was 4/8 (or 1/2) of the pepperoni pizza left, and there was 7/8 of the sausage pizza left. To find out how much more sausage pizza was left than pepperoni pizza, you have to subtract the amount of pepperoni pizza remaining from the amount of sausage pizza remaining.

sausage pizza left - pepperoni pizza left = how much more sausage pizza than pepperoni pizza is left

Now, let's fill in the numbers.

7/8 - 4/8 = ?

7/8 - 4/8 = 3/8

Therefore, there was 3/8 more sausage pizza than pepperoni pizza left.

I hope this helps! Have a lovely day!! :)

Answer:

3/8

Step-by-step explanation:

So there is 7/8 sausage left and 4/8 pep left. The difference between the two is three slices (7/8 - 4/8) which is 3/8th of the whole pizza. This means that 3/8 represents the amount of pizza sausage has that pepperoni doesnt

Find the area of each. Round to the nearest tenth.

Answers

Answer:

346.361 Yd^2 rounded to the nearest tenth is 346.4 Yd^2

Step-by-step explanation:

The area of a disk is A=π[tex]R^2[/tex] where R=10.5 yard.

Answer:

346.2 yd^2

Step-by-step explanation:

Area of a circle: π*r^2π = 3.14radius (r) = 10.5 yd

π*r^2 <== substitute the numbers for pi(π) and radius(r)

3.14*10.5^2

3.14*110.25

346.185 <== round to the nearest tenth

346.2 yd^2

Hope this helps!

Ray YL bisects ZAY B. Find the measurement of
ZBYL.
B
(7x + 17)
(3(4x - 1))
Y
0 90
0 45
0 None of the above
0 20

Answers

Answer:

B. 45

Step-by-step explanation:

YL is the angle bisector of ∠AYB, so the two angles are congruent:

∠AYL ≅ ∠BYL

Substitute and solve for x:

7x + 17 = 3(4x - 1)7x + 17 = 12x - 312x - 7x = 17 + 35x = 20x = 4

Find the value of ∠BYL:

3(4*4 - 1) = 3(16- 1) = 3(15) = 45

This is matching the answer option B.

The red angles must be equal as YL is bisector

7x+17=3(4x-1)7x+17=12x-317+3=12x-7x20=5xx=4

<BYL

3(4(4)-1)3(16-1)3(15)45

Option B

A group of friends were working on a student film that had a budget of $1400. They used $168 of their budget on costumes. What percentage of their total budget did they spend on costumes?

Answers

Answer:

12%

Step-by-step explanation:

$ spent / total budget

168 / 1400 = 0.12

0.12 = 12%

............................................

Answers

Answer:

yoo :)

Step-by-step explanation:

Use the distributive property to express 30 + 42

Answers

Answer:

it would be  6 (5 + 7) = 30 + 42 = 72

Step-by-step explanation:

hope this helps if not please let me know

Find the number of faces, edges, and vertices of the solid.


The number of faces:

The number of edges:

The number of vertices:

Answers

Answer:

102

Step-by-step explanation:

first, count each rectagal,(6) then count each side of the rectangel (17). Lastly do 6x17= 102

(MAYBE WRONG)

Please help I'll mark brainliest 2​

Answers

Answer:

True

Step-by-step explanation:

To find the amount of observations all you need to do is just add up the dots. Adding the number of observations in each range should be true

nvm someone answered lol good luck!

4.

Write an equation and solve it. Anything goes as long as you address the following points:

a. The equation must start with an 'x' variable in an exponent.

b. The equation must require logarithms to solve.

c. In the solution you must use the power rule, the product rule and the quotient rule at least once each.

d. Explain each step as you solve; which rules are you using and why?

e. What challenges did you face as you were writing your problem? Did you run into any dead ends?


My problem lies in finding an exponential equation [tex]N^x=N^x[/tex] (N being any positive number) that needs all 3 rules to solve. I can come up with an equation that uses 2 of the rules but I'm stuck on adding the third. Any suggestions would be nice. Thanks

Answers

Step-by-step explanation:

hope you understand. :)

Mr. Andade had supply bag with three mechanical pencils, four blue pens, and five black pens. If he selects a writing utensil without looking, what is the probability he will select a mechanical pencil?

Answers

Answer:

1/6

Step-by-step explanation:

The sum of all writing utensils are 3+4+5 = 12,

Therefore the probability he will select a mechanical pencil is 3/12 or 1/4.

.

.

.

.

.

.

.

.

For additional info,

Probability of selecting a blue pen and black pen respectively is 4/12 or 1/3 and 5/12.

What is the next number in the sequence? 9….16….24….33…

Answers

Answer:

43

Step-by-step explanation:

The first increase from 9 to 16 is 7

The second increase from 16 to 24 is 8

The third from 24 to 33 is 9

Following the pattern the next increase must be by 10. 33+10=43

Find the set of values of m for which the line with equation y = mx + 1 and the curve with equation y = 3x^2+ 2x + 4 intersect at two distinct points.

Answers

Answer:

Given : line y=mx+4 intersects the curve y=3x2 −4x+7at two distinct points.

To find :   set of values of m

Step-by-step explanation:

y = mx  + 4

y = 3x² − 4x + 7

Substitute y = mx + 4  to find intersection point

mx + 4  = 3x² − 4x + 7

=>  3x² - x(m + 4) + 3 = 0

(m + 4)² > 4(3)(3)  

=> m² + 8m + 16 >  36

=> m² + 8m - 20 >  0

=> (m + 10)(m - 2) >  0

m <  - 10  & m > 2

m  = (-∞ , - 10) ∪ ( 2 , ∞ )

Making auto parts A grinding machine in an auto
parts plant prepares axles with a target diameter
p = 40.125 millimeters (mm). The machine has
some variability, so the standard cleviation of tlic
diameters is a = 0.002 mm. The machine operator
inspects a random sample of 4 uxles cach hour for
quality control purposcs and records llic sample
mcan diameter 1. Assuming that the process is work-
ing properly, what are the mean and standard devia I
fion of the sampling distribution of ? Explain.

Answers

Answer: See below

Step-by-step explanation:

Mean:

Since the sample is taken from a large population it follows the central limit theorem, which states that the sample mean is approximately equal to the population mean.

Therefore: [tex]\bold{\bar{X}=\mu=40.125}[/tex]

Standard Deviation:
Again by central limit theorem the standard deviation of the sample is calculated as:

[tex]S=\frac{\sigma}{\sqrt{n}}[/tex]

Since n=4, therefore

S = 0.001

Cooper's family is going to relax at the beach all day! In preparation, Cooper made s sandwiches for them to eat when they get hungry. Cooper put 3 slices of turkey and 3 slices of ham on each sandwich.
Pick all the expressions that represent how many slices of meat Cooper used on the sandwiches.

Answers

There are no expressions shown.

3d + d what do i put this is Confusing

Answers

Answer:

4d

Step-by-step explanation:

i think any variable alone with no coefficient equals one

so this problem is like adding the terms 3d + 1d

so 1+3=4

and you use the variable d at the end

therefore the answer would be 4d

hope this helped<3

Answer:

4d

Step-by-step explanation:

3d+d this means 3d+1d because any variable without a coefficient is 1

which means

3d+1d

=4d

hope this helps!!!

Given mn, find the value of x. + (10N+2)" ION-18)"​

Answers

Answer:

16

Step-by-step explanation:

equal both using corresponding law

Need help PLEASE lol anyway thank u

Answers

Answer:

true option is B

Step-by-step explanation:

true option is B

Jason and his three friends went bowling. They bowled all afternoon and each paid $3.25 per game. Jason had a coupon for one free game. Three of his friends paid $2.75 each to rent shoes. Using this information, Jason writes the expression 3.25\left(g-1\right)+2.75\left(3\right). What does Jason’s expression represent? the number of friends who bowled the number of friends who bowled the number of games Jason and his friends bowled the number of games Jason and his friends bowled the amount of money Jason saved using the coupon the amount of money Jason saved using the coupon the amount of money Jason and his friends spent that afternoon

Answers

The expression 3.25(g-1) + 2.75(3) by Jason and his friends is a linear expression

The number of friends who bowled is 3The number of games Jason and his friends bowled is gThe amount of money Jason saved using the coupon is 3.25 The amount of money Jason and his friends spent that afternoon is 3.25(g-1) + 2.75(3)

How to interpret the expression?

The expression is given as:

3.25(g-1) + 2.75(3)

The above expression means that:

-1 represents the coupon on one free game3.25 represents the amount paid per game2.75 represents the amount paid to rent a shoe3 represesents the number of shoes they rent

Read more about linear expressions at:

https://brainly.com/question/14323743

if a sum of money increased by 1/5 of itself every year and in 5 years amounts to Rs.8546,find the sum

Answers

Answer:

Answer :

Given  : If a sum of money amounts to Rs 2200 in 5 years

Let sum of money =  x

And as given : The interest is 3838 of the principal . So we get

x ( 3838 ) = 2200 - x

3x  =  17600 - 8x

11x  =  17600

x   =  1600

So, Sum of money  =  Rs . 1600

Then interest =  2200 -  1600 =  Rs . 600

Let Rate of interest  = r  %

And we know Simple interest  = P × r × t100P × r × t100 , So we get

⇒1600 × r × 5100 =  600⇒16× r × 5100 =  6⇒80r  =  600⇒r = 60080 = 152 =  712%⇒1600 × r × 5100 =  600⇒16× r × 5100 =  6⇒80r  =  600⇒r = 60080 = 152 =  712%

So

Step-by-step explanation:

MAX POINTS PLEASE HELP Will make Brainliest

What is the period and frequency of the function graphed and how would the equation be written

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

Not passing through origin (it's cosine)

Period:-

Difference between any two crests |-3-3||-6|6

Now

Frequency:-

[tex]\\ \rm\dashrightarrow \nu=\dfrac{1}{T}[/tex]

[tex]\\ \rm\dashrightarrow \nu=\dfrac{1}{6}[/tex]

[tex]\\ \rm\dashrightarrow \nu=0.167Hz[/tex]

8.5 hours in a day what total hours they work in a week

Answers

Answer:

8.5 hrs * 5 day work week = 42.5 hrs. But usually 0.5 hr per day is considered lunch and is usually not payed so theoretically the workweek is only 40 hrs per week (full time)

Step-by-step explanation:

If he works for 5 days it is 42.5 if he worked the whole week it would be 59.5
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