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".
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Two of your friends go bowling. One friend rents a pair of bowling shoes for $3 and bowls 3 games. The other friend brings his own bowling shoes, bowls 4 games and buys a soda for $0.50. Both friends spend the same amount of money. Show how you can write and solve an equation to find the cost of one game.
Answer: The cost of each game is $2.50
Step-by-step explanation:
Let's find the equations for each friend:
Friend 1:
Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:
$3 + 3*X
Friend 2:
This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:
$0.50 + 4*X
And we know that both friends pay the exact same amount, then we can write:
$3 + 3*X = $0.50 + 4*X
And solve this for X.
We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:
$3 - $0.50 = 4*X - 3*X
$2.50 = (4 - 3)*X = X
This means the cost of each game is $2.50
Please help. Will award brainliest:)
Find in term of pi, the volume of the water
9% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
Answer:
9/100.
Step-by-step explanation:
9% is equal to about 9/100. 9/100 is the simplest form.
Which ratio is equal to 27 : 81?
A. 1 : 9
B. 2 : 9
C. 3 : 9
D. 3 : 27
E. 9 : 12
Answer:
C) 3: 9
Step-by-step explanation:
27: 81
Ratios are same as fractions, that is why 27:81 = 27 / 81
Now that we go this fraction, let's make it an equivalent fraction:
(27 / 9) / (81/9)
=> 3/9
=> 3 : 9
If my answer helped, kindly mark me as the brainliest!
Thanks!!
Will give crown help thanks!
Answer:
y
-47
-7
3
13
Step-by-step explanation:
Substitute the variable!
Basically you just substitute all the x values in.
------------------------------------------------------
x=-5
y=10(-5)+3
y=-50+3
y=-47
If x=-5, then y=-47
------------------------------------------------------
x=-1
y=10(-1)+3
y=-10+3
y=-7
If x=-1, then y=-7
------------------------------------------------------
x=0
y=10(0)+3
y=0+3
y=3
If x=0, then y=3
------------------------------------------------------
x=1
y=10(1)+3
y=10+3
y=13
If x=1, then y=13
------------------------------------------------------
15 out of 20 students own hand-held games; 105 out of 160 students own hand held games. PLEASE HELP ME ASAP
Answer: No the ratios are NOT related
Step-by-step explanation:
What is the radius and diameter of the following circle?
11 cm
Answer:
Diameter is 11cm, and the radius is 5.5
Step-by-step explanation:
To get the radius, just divide the size of the circle by 2
Diameter is the same size as the circle
Which statements are true about the ordered pair (10, 5) and the system of equations?
{ 2x−5y=−5
{ x+2y=11
Select each correct answer.
The ordered pair (10, 5) is a solution to the first equation because it makes the first equation true.
The ordered pair (10, 5) is a solution to the second equation because it makes the second equation true.
The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false.
The ordered pair (10, 5) is a solution to the system because it makes both equations true.
Answer:
the solution to the system is (5,3)
Step-by-step explanation:
the first statement is True: 2(10) - 5(5) = -5
20 - 25 = -5
-5 = -5
the second statement if False: 10 + 2(5) ≠ 11
the third statement is True
the last statement is False
SOMEONE PLEASE HELP ME WITH THIS!
Answer:
(−1)(5x+2)
Step-by-step explanation:
I googled it
Answer:
(x-1)(5x+2)
Step-by-step explanation:
5[tex]x^{2}[/tex] + 2x - 5x - 2
(5[tex]x^{2}[/tex] + 2x) (- 5x - 2)
x(5x + 2) -1(5x + 2)
(x-1)(5x+2)
Please help me it’s due in a couple of minutes!!!!!!!!
Answer:
1/4 c. + 2 tbsp.
Step-by-step explanation:
3/4 c. = 12 tbsp.
12 / 2 = 6
6 tbsp. = 1/4 c. + 2 tbsp.
Jeffery babysits for 4 dollars per hour, he also works as a math tutor for 7 dollars per hour. He is only allowed to work 13 hours total per week. He wants to make at least 65 dollars. Write a system of inequalities to represent this situation.
Given:
Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.
He is only allowed to work 13 hours total per week.
He wants to make at least 65 dollars.
To find:
The system of inequalities to represent this situation.
Solution:
Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.
He is only allowed to work 13 hours total per week. It means sum of x and y must be less than or equal to 13.
[tex]x+y\leq 13[/tex]
He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.
[tex]4x+7y\geq 65[/tex]
Number of hours can not be negative.
[tex]x\geq 0, y\geq 0[/tex].
Therefore, the required system of inequalities contains some equations, [tex]x+y\leq 13,4x+7y\geq 65[/tex] and [tex]x, y\geq 0[/tex].
what is 7w when w means 2?
Answer:
14
Step-by-step explanation:
we know that w and 2 are the same here, so substitute w with 2: 7(2)
this means 7 times 2, and that is 14
Answer:
14
Step-by-step explanation:
If w=2
Plug in 7(2)... Multiply then you would have 14.
Calculate the total cost for each item.
6. A computer for $450.00 and a 6% sales tax. _____________________________________
7. A pair of pants for $75.00 and a 5% sales tax. ___________________________________
Answer:
1. 423 2. 71.25
Step-by-step explanation:
450.00-6%=423
75.00-5%= 71.25
(4+2k)⋅6+3k and cant solve it plz help
Answer:
Simplifying
(4 + 2k) * 6 + 3k = 0
Reorder the terms for easier multiplication:
6(4 + 2k) + 3k = 0
(4 * 6 + 2k * 6) + 3k = 0
(24 + 12k) + 3k = 0
Combine like terms: 12k + 3k = 15k
24 + 15k = 0
Solving
24 + 15k = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-24' to each side of the equation.
24 + -24 + 15k = 0 + -24
Combine like terms: 24 + -24 = 0
0 + 15k = 0 + -24
15k = 0 + -24
Combine like terms: 0 + -24 = -24
15k = -24
Divide each side by '15'.
k = -1.6
Simplifying
k = -1.6
Step-by-step explanation:
help plz & thank you!!
Answer:
x=(-6)
Step-by-step explanation:
Answer:
x= -6
Step-by-step explanation:
5x-10= -40
add 10 to both sides
5x= -30
divide both sides by 5
x= -6
xoxo, your highness...Helpppp plsssssss!!!!!!!!!
The area of a rectangle is 36 square meters. If the length of the rectangle is 3, what is the width?
Answer:
12
Step-by-step explanation:
Answer:12
Step-by-step explanation:36 / 3
Can somebody plz answer questions 13-18 correctly thank you!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST!!!! :DDD
Answer:
13. 20%
14.7%
15. 3.5%
16.45%
17. 84%
18. 68.5%
The base of a triangle and a parallelogram are the same length. Their helghts are also the same. If the area of the
parallelogram Is 48 m2, what is the area of the triangle?
Answer:
24
Step-by-step explanation:
The area of a parallelogram is A=
The area of triangle is A=1/2 so this means if the area of the parallelogram is 48 m then the area of a triangle is 24 m
A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second car has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 825 miles, for total gas cumsumption of 40 gallons. How many gallons were consumed by each car
Answer:
Number of gallons consumed by first car = 15 gallons
Number of gallons consumed by second car = 25 gallons
Step-by-step explanation:
Given that:
Fuel efficiency of first car = 30 miles per gallon
Fuel efficiency of second car = 15 miles per gallon
Total distance traveled = 825 miles
Total gas consumption = 40 gallons
To find:
Number of gallons consumed by each car = ?
Solution:
Let the number of gallons consumed by first car = [tex]x[/tex] gallons
As per question statement, number of gallons consumed by second car:
[tex]40-x[/tex]
Number of miles covered by a car = Fuel efficiency [tex]\times[/tex] Number of gallons consumed
Number of miles covered by first car = 30 [tex]\times[/tex] [tex]x[/tex]
Number of miles covered by second car = 15 [tex]\times[/tex] ([tex]40-x[/tex])
Using the given statement:
[tex]30x+15(40-x)=825\\\Rightarrow 30x+600-15x=825\\\Rightarrow 15x=225\\\Rightarrow x =15\ gallons[/tex]
Therefore, Number of gallons consumed by first car = 15 gallons
Number of gallons consumed by second car = 40 - 15 = 25 gallons
Enter the equation of the line in slope-intercept form.
The line parallel to y =
7
4
x + 4 that passes through (−8, 0).
The equation of the line that passes through (−8, 0) is y = .
Answer:
y = 7/4x + 14
Step-by-step explanation:
0 = 7/4(-8) + b
0 = -14 + b
14 = b
y = 7/4x + 14
3x+5y=5+3y plz help with prob thxs
Answer:
x= 5/3-2y/3
y= 5/2-3x/2
Step-by-step explanation:
i solved it woww
MY TEACHER IS IGNORING ME! PLEASE HELP 10 POINTS !
Mai biked 6 3/4 miles today, and Noah biked 4 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?
Thanks in advance
Answer:
Tell ur teacher to stop ignoring you 23
Step-by-step explanation:
ur welcomw 32
Saman drives a truck for $15 an hour. If she worked 40 hours, what would be her gross earnings for one week?
Answer:
$600
Step-by-step explanation:
because 40 hours at a rate of $15/hours adds up to $600.
(40*15= 600)
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?
Answer:
3/15 of a minute
Step-by-step explanation:
The graph of function f is shown. Function g is represented by this equation. g(x) = 2(2)x Which statement correctly compares the two functions? A. They have different y-intercepts and different end behavior. B. They have the same y-intercept but different end behavior. C. They have different y-intercepts but the same end behavior. D. They have the same y-intercept and the same end behavior.'
The graph of the function f and graph of the function g(x) have the different y-intercept but have the same end behavior option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of a function f and a function g(x) is:
[tex]\rm g(x) = (2)2^x[/tex]
If draw a graph of g(x) on the coordinate plane, it will be a exponential function.
For y intercept of g(x):
x = 0,
y = 2
But graph of a function f and graph of a function g(x) has same end behavior.
Thus, the graph of the function f and graph of the function g(x) have the different y-intercept but have the same end behavior option (C) is correct.
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1. Fiona Wolfe regular pay is $9 an hour and time-and-a-half for anything over 40 hours. Last week she worked 46 hours at her full-time job. She also worked 7 hours last week at a part-time job that pays $11 an hour. What total gross pay did she earn last week from both jobs?
Answer:
$518
Step-by-step explanation:
The total gross payment = full-time payment + part-time payment
Given that:
She worked 46 hours for her full-time payment and time-and-a-half for anything and she is being paid $9 per hour;
and also worked for 7 hours for her part-time payment and she is being paid $11 per hour and time-and-a-half for anything
Then, the total gross payment = $46(9 1/2) + $7(11 1/2)
The total gross payment = $46(9.5) + $7(11.5)
The total gross payment = $437 + $80.5
The total gross payment = $517.5
The total gross payment ≅ $518
Rewrite using radicals
Answer:
√7; ∛13²; ⁵√x³; and the last is b root of m to the power of a
Step-by-step explanation:
When you take a number to the power of a fraction, you write it as the root of the denominator to the power of the numerator. The denominator is the bottom number and the numerator is the top number.
What is the answer to 2 + -1/3 =