Answer:A
Step-by-step explanation:
Edge 2020
[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].
What is trigonometric expression?Trigonometric expressions are non-routine appearing problems. They are unfamiliar because the language of trigonometry looks foreign and complicated. In order to learn how to simplify or reduce the complexity of trigonometric expressions, we first need to examine the identities we need to utilize.
It is one of the identities of trigonometry
sinAcosB - cosAsinB = sin(A - B)
Given expression
[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex]
It is in form of sinAcosB - cosAsinB = sin(A - B)
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{\pi }{12}-\frac{7\pi }{12} )[/tex]
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-6\pi }{12} )[/tex]
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-\pi }{2} )[/tex]
Hence [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].
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Determine if the statement is True or False:
The length of the shorter segment cut by the altitude from the obtuse angle to the longer base of an isosceles trapezoid is equal to the average of the bases.
is y= 12 x a proportinal relationship
Answer: yes
Step-by-step explanation:
If the dollar store is 5 miles away from my house, and my dad walks at 5 Mph, why has it taken my dad 12 years to come back?
hello! um what is the equivalent to 3/7?
Answer:
9 goes in the blank
Step-by-step explanation:
Since 21 divided by 7 is 3 then you would have to multiply 3 to the numerator to get the equivalent. Hope this helped :)
Answer:
9/21
Step-by-step explanation:
multiply the numerator and denominator by 3 and you will get 9/21
There are 5,000 books in the town's library. Of these, 4,300 are fiction. To find the percent of the books that are fiction, first set up the percent equation. Then find the percent.
A. 4,300 = m / 5,000
B. 4,300 = m x 5,000
C. 5,000 = m / 4,300
D. 5,000 = m x 4,300
Answer:
B
Step-by-step explanation:
The percent of the books that are fiction is 86% and the percent equation is 4300=m×5000. Therefore, option B is the correct answer.
Given that, there are 5,000 books in the town's library.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let the percent of the books that are fiction be m
So, m= 4300/5000
4300=m×5000
Percentage =4300/5000 ×100
= 86%
The percent of the books that are fiction is 86% and the percent equation is 4300=m×5000. Therefore, option B is the correct answer.
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HELP ME ANSWER THESE 2 QUESTIONS MY PARENTS ARE ABOUT TO PUNISH ME IF I DONT DO IT (SHOW WORK OR ANSWER WILL NOT COUNT)
Answer:
what are the questions hurry and tell me
Given that 4x−5y=39
Find y when x=3
Give your answer as an improper fraction in its simplest form.
Answer:
- [tex]\frac{27}{25\\}[/tex]
Step-by-step explanation:
4x−5y=39
for x=3
12 - 5y = 39
-5y = 39 -12
-5y = [tex]\frac{27}{5\\}[/tex]
-y = [tex]\frac{27}{25\\}[/tex]
y = - [tex]\frac{27}{25\\}[/tex] = -1 [tex]\frac{2}{25\\}\\[/tex]
-27/5 or -5 2/5
Step-by-step explanation:
4x-5y=39 while x=3
4(3)-5y=39 add x into bracket
12-5y=39 result of 4*3
12-5y-12=12-39 substrate non variable number to each side
5y = -27 the result from upper substraction
y= -27/5 the result mixed fraction form -5 2/5
Question 121 pts
Daniel had $30 to spend at the fair. If the admission to the fair is $8 and the rides cost $1.25 each, what is the greatest number of rides Daniel can go on?
Answer:
17 rides
Step-by-step explanation:
30-8=22
22 divided by 1.25=17.6 and then you cant go on without 1.25 so 17
Plz help me with this question if you can explain plz do also thank you!!
Answer:
The answer is b because h = hours and 45 is the mph
Step-by-step explanation:
A ship leaves port on a bearing of 20.2 degrees East of North and travels 6.5 miles. The ship then turns due East and travels 3.8 miles.
How far is the ship from the port, and what is its bearing?
Distance: 8.6 miles; Bearing: 20.2 degrees West of North.
Distance: 8.6 miles; Bearing: 20.2 degrees East of North.
Distance: 8.6 miles; Bearing: 44.7 degrees East of North.
Distance: 8.6 miles; Bearing: 44.7 degrees West of North.
Answer:
C
Step-by-step explanation:
Distance: 8.6 miles; Bearing: 44.7 degrees East of North.
The distance of the ship which leaves port on a bearing of 20.2 degrees East of North is 8.6 miles and its bearing is 44.7 degrees East of North.
What is cosine law?When the three sides of a triangle is known, then to find any angle, the law of cosine is used.
It can be given as,
[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
A ship leaves port on a bearing of 20.2 degrees East of North and travels 6.5 miles. The ship then turns due East and travels 3.8 miles.
This problem is shown in the image. The distance of ship from initial point is,
[tex]c=\sqrt{6.5^2+3.8^2-{2\times6.5\times3.8\times\cos (110.2)}}\\c\approx8.6\rm\; miles[/tex]
The measure of the angle x is,
[tex]\angle x=\cos^{-1}\dfrac{8.6^2+3.8^2-6.5^2}{2\times8.6\times3.8}\\\angle x=44.7^o[/tex]
Hence, the distance of the ship which leaves port on a bearing of 20.2 degrees East of North is 8.6 miles and its bearing is 44.7 degrees East of North.
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The water level of a lake is at 35ft. It is rising at a rate of 3 inches per day. How many days will it take the lake to reach 40 ft?
There are screws, nuts and bolts in a tool box. The ratio of the number of
Screws to the number of nuts to the number of boits is 2:3:7. The
difference between the number of nuts and the number of bolts is 112.
Find the number of each item
Answer:
Step-by-step explanation:
56:84:196 would be the answer
PLS HELP ASAP
WILL MARK BRAINLIEST
Answer:
the answer would be clld i am pretty sure yeah hopefully it is right and yeah
Step-by-step explanation:
What is the y-intercept. Describe how you know in both the table and the graph.
Answer:
(4,0)
Step-by-step explanation:
The car traveled 42.5 miles per gallon of gas. If the gas tank in the car could hold 16.5 gallons, how far can the car travel on one tank of gas? (Don't round answer)
Please, help I am really confused!
Answer:
2.57575758
Explanation:
42.5 / 16.5
3
Lee has -£13 in his bank account. Every week he gets paid £45, and
spends £60. How much will Lee have in his bank account after 3 weeks?
Answer:
Lee has -£13 in his bank account.
Every week he gets paid £45, and spends £60.
IN 3 WEEKS
He gets paid --> £45 · 3 = £135
He spends money --> £60 · 3 = £180
£135 - £180 = -£45
He had -£13 initially
He now has --> -£13 - £45 = -£58
Tristan charges a flat rate of $16 for
each small lawn that he mows. He
decided to increase his rate to $20.
What is the new rate as a percent of
the old rate? Show your thinking.
Answer:
125%
Step-by-step explanation: because 25% of $16 is $4 and it's a $4 increase of the already 100% making 125%
find the distance and midpoint of a segment with the following endpoints: (5,-1) and (-9,-1)
Answer:
[tex]d = 14[/tex]
[tex](-2,-1)[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDASDistance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
(5, -1)
(-9, -1)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-9-5)^2+(-1-(-1))^2}[/tex]Simplify: [tex]d = \sqrt{(-9-5)^2+(-1+1)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-14)^2+(0)^2}[/tex]Evaluate: [tex]d = \sqrt{196}[/tex]Evaluate: [tex]d = \14[/tex]Step 3: Find Midpoint
Substitute: [tex](\frac{5-9}{2},\frac{-1-1}{2})[/tex]Subtract: [tex](\frac{-4}{2},\frac{-2}{2})[/tex]Divide: [tex](-2,-1)[/tex]2.1(0.2x−1.4)=1.3(0.4x−3.5)
Answer:
x=9.84375
Step-by-step explanation:
...
Answer:
16.1=x
Step-by-step explanation:
2.1(0.2x-1.4)=1.3(0.4x-3.5) Distribute
0.42x-2.94=0.52x-4.55 Combine like terms
+4.55 +4.55
0.42x+1.61=0.52x
-0.42x -0.42x
1.61=0.1x
0.1 0.1
16.1=x
Which answer choice shows 12.444 rounded to the nearest half?
A. 11
B. 11.5
C. 12
D. 12.5
Answer:
C. 12
Step-by-step explanation:
Remember 0 to 4 turn it back
5 or above give it a shove.
Since 12.444 is around 0 to 4.
We can round that to 12.
Answer:
C.12
Step-by-step explanation:
Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.
A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. Billy incorrectly says that the speed of the car is 1/60 mile per hour. What is the speed of the car? What error might Billy have made?
Answer:
Step-by-step explanation:
Since, speed of a car = [tex]\frac{\text{Distance traveled}}{\text{Time taken}}[/tex]
From the graph attached,
A point (1, 60) lies on the line shown in graph.
At this point speed of the car = [tex]\frac{\triangle y}{\triangle x}[/tex]
[tex]=\frac{60-0}{1-0}[/tex]
= 60 miles per hour
But Billy says the speed of the car is [tex]\frac{1}{60}[/tex] miles per hour.
So the error in the Billy's answer is that he has used the wrong formula to calculate the speed.
(As per Billy, speed = [tex]\frac{\text{Time taken}}{\text{Distance covered}}[/tex])
1
2 3
4
5
6
7
8
7
During a basketball practice, Mai attempted 40 free throws and was successful on
25% of them.
How many successful free throws did she make?
The answer
Answer:
10Step-by-step explanation:
Total attempts = 40Successful attempts = 25%Number of successful free throws:
25% of 40 =0.25*40 = 10Will mark BRAINLIEST!!
3=1/2(x+4)
3=1/2(x+4)
x+4= 3×2
x+4= 6
x=6-4
x=2
Select the correct locations on the graph. Select the lines that represent functions.
Answer:
bruh there isnt a graph or anything we cant answer it
Step-by-step explanation:
Answer:
where is it
Step-by-step explanation:
Three Variables LINEAR EQUATION
Answer:
x= 1, y= -2, z= 5
Step-by-step explanation:
Please see the attached picture for the full solution.
Simplify the expression
Answer:
f(x) = x - 6 g(x) = x - 5Step-by-step explanation:
[tex]\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5[/tex]
What is the simple interest earned in 4 months on a $300
savings account at an annual rate of 5%?
Answer:
$60
Step-by-step explanation:
Multiply $300 (the total amount of money) by 0.05 (the annual rate)
300 x 0.05 = 15
Then, Multiply the number of months, to 15
15 x 4 = 60
$60 of simple interest earned in 4 months
A group of people planned to go to the amusement
park. Adult tickets are $45.00 and child tickets are $20.
There are two adults in the group. If the budget for the
trip is $600, what is the greatest number of children
that can attend.
Answer:the greatest amount of children that can go is 30
Step-by-step explanation:
$20 x 30= $600
Which ratio is less than 15 Over 24
A. 1/2
B. 7/8
C. 19/24
D. 6/8
Answer:
A
Step-by-step explanation:
AWARDING MORE POINTS question in pic
Answer:
sad
Step-by-step explanation:
