Use the drop-down menus to complete the solution to the equation cos(pie/2-x)=square root 3/2 for all possible values of x on the interval [0,2pie].
Answers
Answer:
0
1
sin
3
3
Step-by-step explanation:
These are the answers in order from every blank
The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
As per the given trigonometric equation,
cos(x)cosπ/2 + sin(x)sinπ/2 = √3/2
Since, cosπ/2 = 0 and sinπ/2 = 1
cos(x)(0)+ sin(x)(1) = √3/2
sinx = √3/2
sinx = sin π/3 = sin 2π/3.
Hence "The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3".
For more information about the trigonometric function,
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Related Questions
On a busy day, a shop sells a total of 15 desks and chairs for a total amount of $960.The desks sell for $120 each and the chairs sell for $50 each.
(a) Express the information as two equations. Let d equal the number of desks and let c equal the number of chairs.
(b) Solve the equations simultaneously to find how many of each were sold.
Answers
Answer:
- sold 15 desks + chairs
- each desk is $120
- each chair is $50
- total amount is $960
- desk = d
- chairs = c
(a) i/ d + c = 15
ii/ 120d + 50c = 960
(b) d+c = 15 --------- (1)
120d + 50c = 960 --------(2)
from (1) d+c = 15
c = 15-d --------- (3)
substitute (3) into (2)
120d + 50c = 960
120d + 50(15-d) = 960
120d + 750 - 50d = 960
120d - 50d = 960 - 750
70d = 210
d = 210/70
d = 3
substitute d=3 into (3)
c = 15-d
c = 15-3
c = 12
thus, 3 desks and 12 chairs were sold
Question 2
Remember that new marketing gig that Connie landed with Cosmic Coffee? Let's think about the promotion she was
excited to roll out:
Get your made-to-order coffee drink within 3 minutes or it's free!
Recall that it's known from a previous study that the average time it takes for a customer to receive their drink is
2 minutes, 39 seconds, with a standard deviation of 20 seconds.
Part A
Calculate the z-score associated with the value of 3 minutes. Convert 3 minutes and the mean to seconds before doing
the calculation.
Answers
9514 1404 393
Answer:
1.05
Step-by-step explanation:
Following instructions, we have ...
Z = (X -μ)/σ
Z = (180 -159)/20 = 21/20
Z = 1.05
The Z-score associated with the value 3 minutes is 1.05.
_____
Additional comment
About 14.7% of customers will be getting free coffee.
Answer:
Sample anwer from Edm and Plato
Step-by-step explanation:
Whats the slope of (6,0) and (2,-2)
Answers
Is the answer.
could anyone help me please 10x2y+4x2y
Answers
Answer:
The Answer is 28y
Step-by-step explanation:
Answer:14x+4y
Step-by-step explanation:
Equivalent ratios are ratios that contain different numbers but express the same relationship between the quantities they're comparing. Ratios are equivalent if there's a positive number that can be multiplied by both quantities in one ratio to get the corresponding quantities in the second ratio. For example, imagine you're making hot sauce that calls for chile peppers and tomatoes in a ratio of 1:2. If you put in 1 chili pepper, you'll need to put in 2 tomatoes. If you put in 2 chili peppers, you'll need to put in 4 tomatoes to keep the ratio the same. You can multiply both numbers in the first ratio by 2 to get the corresponding numbers in the second ratio: 1 × 2 = 2 2 × 2 = 4 The ratios show the same relationship between chili peppers and tomatoes. Which of these ratios is equivalent to 2:3? A 2:6 B 4:6 C 3:2 D 3:4
Answers
Answer:
B 4:6
Step-by-step explanation:
Which of these ratios is equivalent to 2:3?
2 : 3 = 2/3
Check all that applies
A 2:6
= 2/6
= 1/3
= 1 : 3
B 4:6
= 4/6
= 2/3
= 2 : 3
C 3:2
= 3/2
= 3 : 2
D 3:4
= 3/4
= 3 : 4
The correct answer is B 4 : 6
pls help asap!! this is due really soon
Answers
Answer:
EF=20
Step-by-step explanation:
EF is midsegment of the triangle so the equation is
AB/2=EF
7x-2/2=2x+8
7x-2=4x+16
7x-4x=16+2
3x=18
x=18/3
x=6
EF=2×6+8
=12+8
=20
Solve and simplify.
-2 4/5 + (-2/5)=
Answers
Answer:
-2 4/5 + (-2/5)=5.2
Step-by-step explanation:
If PQR = STU, find the measure of each part.
R
8 m
59°
P
7 m
g
75
T
U
Answers
The answer is below
Step-by-step explanation:
Two triangles are said to be congruent if for the two triangles all the three sides are equal and all the three angles are equal to each other.
Given that ΔPQR is congruent to ΔSTU, hence all corresponding sides and corresponding angles are equal to each other.
∠P = ∠S = 59°
∠S + ∠T + ∠U = 180° (sum of angles in a triangle)
59 + 75 + ∠U = 180°
134 + ∠U = 180°
∠U = 46°
∠U = ∠R = 46°
∠Q = ∠T = 75°
Also, for the sides:
ST = PQ = 7 m
SU = PR = 8 m
Annika sells 6 inch pies for $5.00 and 8 inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8 inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8 inch pies she sold. She wrote the system below.
6 x + 8 y = 133. 2 x = y.
Which statements about the system are true? Check all that apply.
Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.
Since the 8 inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8 inch pies, the second equation should be x = 2 y to balance the values.
The first equation is correct because 6x represents the money earned for 6 inch pies and 8y represents the money earned for 8 inch pies.
The second equation is correct because there are more 6 inch pies and 2 times a number is always more.
Answers
Answer:
See below!
Step-by-step explanation:
Only the first choice is accurate.
The second choice is incorrect since it doesn't accurately represent the situation described.
The third choice is incorrect since it also doesn't accurately represent the situation described.
The fourth choice is incorrect since the equation is meant to show the cost of the pies, not the size.
While the fifth choice is correct in that the second equation is accurate, the reasoning is inaccurate.
Answer
Only option 1 is correct
Rationalizing denominator of 2/√3
Answers
Answer: [tex]\frac{2\sqrt{3}} {3}[/tex]
Step-by-step explanation:
Multiply both the denominator and numerator by square root of 3 to rationalize the denominator.
Answer:
2√3/3
Step-by-step explanation:
we can simply multiply the fraction by (√3/√3) as √3*√3 = 3 --- a rational value;
2/√3 * √3*√3 = 2√3/3
n2 = 39
HELP YALL ILL GIVE BRAINLY
Answers
Answer: 78
Step-by-step explanation: multiply 39 by 2
5-x< 13
Idk what it si
Answers
Answer:
Step-by-step explanation:
5-x< 13
-5 -5
-x< 8
Answer:
-8
Step-by-step explanation:
5-x<13
-x<13-5
-x<8
-x/-1<8/-1
x<-8
Ella read 1/3 of a page in 1/15 of a minute. How many minutes does it take her to read a full page?
Answers
Answer:
3/15 of a minute
Step-by-step explanation:
Last one pleaseeeeeeeeeeeeee
Answers
Plot the point -3 1/2.
Answer:
-31/2
Step-by-step explanation:
have a nice day lol
A rectangular monitor’s size is measured diagonally from 1 corner to the opposite corner. What is the size of a rectangular monitor that is 30 centimeters wide by 24 centimeters high, to the nearest centimeter?
Answers
Answer:
38cm
Step-by-step explanation:
Using the Pythagorean Theorem, it is found that the size of the monitor is of 38 centimetres.
------------------------
In a right triangle with legs [tex]l_1[/tex] and [tex]l_2[/tex] and hypotenuse h, these measures are related by the Pythagorean Theorem, given by:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem:
The diagonal of the rectangle, which is the size of the monitor, is the hypotenuse.The width of [tex]w = 30[/tex] and the length of [tex]l = 24[/tex] are the legs, thus:[tex]s^2 = l^2 + w^2[/tex]
[tex]s^2 = 24^2 + 30^2[/tex]
[tex]s = \sqrt{24^2 + 30^2}[/tex]
[tex]s = 38[/tex]
The size of the monitor is of 38 centimetres.
A similar problem is given at https://brainly.com/question/21691542
. Distance from A to B is 2 inches in the drawing. If the scale is 1 in: 200
miles, find the actual distance from A To B
Answers
Answer:
400 miles
Step-by-step explanation:
If 1 inch is equal to 200 miles and the distance from A to B is 2 inches, multiply 200 × 2 to get 400
Answer:
The actual difference is 400 inches.
Step-by-step explanation:
To find the actual distance, you multiply the distance (which is 2 inches), To the scale 1:200. 2 x 200 = 400. Therefore the actual distance which is 400 inches.
emily have 6 times more candy than heily but tom have 8 more candys than heily. in total theres 32 candys. How many candys every kid have?
Answers
Answer:
Step-by-step explanation:
If heily has 3 candies the emily has 6 times more than that = 3 x 6 = 18
And Tom has 8 candies more than heily = 3 + 8 = 11
Total = 3 + 18 + 11 = 32
Triangle A is a right triangle. The hypotenuse is 10”. One side is 8”. Find the other side.
Answers
12.8. is answer by formula
HELP ME PLEASE
Mr. Parke made snacks in separate gift bags. He gave one each to the 86 seventh grade students going on the field trip. Then he gave 17 bags to the students in Mrs. Mark's class for decorating the trophy cases. Next he gave 11 to the students in Mrs. Green's class for helping during the school play. Mr. Parke had 11 snacks left. How many snacks did he make?
Answers
Answer:
125 snacks
Step-by-step explanation:
just add every number
Answer:
125
Step-by-step explanation:
^^ this is the last oneeee
Answers
Answer:
30 degrees
Step-by-step explanation:
So a complete circle consists of 360 degrees but we are trying to find what ADB equals so we are going to subtract BDC and ADC from 360:
BDC = 150
The graph does not say what ADC equals so we are going to look at the graph and see that ADC is half of the circle so we are going to divide 360 by 2:
360/2 = 180
So ADC equals 180, since we know what ADC and BDC equal we are going to add them together and then subtract them from 360:
180 + 150 = 330
360 - 330 = 30
So ADB = 30 degrees
Hope this helps!
What is the Pr me Factorization of 402?
Answers
Daniel needs to order some new supplies for the restaurant where he works. The
restaurant needs at least 792 forks. There are currently 223 forks. If each set on sale
contains 15 forks, what is the minimum number of sets of forks Daniel should buy?
Answers
Can some one help me with Freshmen Algebra I kinda forgot how to do something and I need a refresher.
Answers
Answer:
Wheres the question?
Step-by-step explanation:
The equation for line p can be written as y = 1/4x + 3. Line q includes the point (-1, 5) and is
perpendicular to line p. What is the equation of line q?
Answers
Answer:
[tex]y=-4x+1[/tex]
Step-by-step explanation:
To get this, use the following steps:
1) Knowing that line q is perpendicular to the line p, the slope of line q must be the negative reciprocal of the slope of line p. Thus the slope is [tex]-(\frac{1}{4})^{-1} = -4[/tex]
2) To find the equation, plug in the point given:
[tex]5 = -4(-1) + b[/tex]
[tex]b = 1[/tex]
3) The equation of line q is thus:
[tex]y= -4x+1[/tex]
Estimate the quotient: 1628 ÷ 8 and its NOT 203
Answers
Answer:
203.5
hope this helps:)
Step-by-step explanation:
10. A 1.5 gallon jug needs to be filled with water.
If the jug is filled one pint at a time, how
many pints are needed to fill the jug?
Answers
Answer:
12 Pints
Step-by-step explanation:
There are 8 pints (pt) in 1 gallon (gal). This means that 1 pint equals 1/8 gallon.
1.5 x 8
=12
Which are shown on the diagram? Check all that apply.
Answers
Answer:
i think b,c,d and f
Step-by-step explanation:
Identify which functions have complex roots by selecting the function names on the provided coordinate plane,
ibi
Answers
Answer: d and b i think
Step-by-step explanation:
The functions which have complex roots are b and d.
What is complex root?Complex roots are the imaginary root of polynomial functions. The complex roots are represented as α = a + ib, and β = c + id.
When the quadratic equation have a discriminant value less than zero will have imaginary roots.
Out of the given functions, a ,b, c, d , the function with complex roots are b and d.
Learn more about complex root.
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free for all
gl
:) dun dun DUN
Answers
Answer:
Step-by-step explanation:
TYSM
HAVE A GREAT DAY
Answer:
Step-by-step explanation:
DRINK WATER! EAT SAY HEALTHY!!!!! <3
On Miss Gless iPhone, she has 400 songs 24 of those songs are country songs. What percent of her songs are not country?
Your answer:
help o_o
Answers
Answer:
94%
Step-by-step explanation: