if sin x equal to a/b
what is sin(90-x)
Answer:
[tex] \sin(x) = \frac{a}{b} \\ \sin(90 - x) = \sin(90) \cos(x) - \cos(90) \sin(x) \\ \sin(90 - x) = \cos(x) \\ { \sin(x) }^{2} + { \cos(x) }^{2} = 1 \\ { \cos(x) }^{2} = 1 - {( \frac{a}{b})}^{2} = \frac{ {b}^{2} - {a}^{2} }{ {b}^{2} } \\ \cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ \sqrt{ {b}^{2} } } \\ \boxed{ \sin(90 - x) =\cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ b} } \\ [/tex]
The value equal to the given trigonometric expression sin(90°-x) is √(b²-a²)/b.
Given that, sinx=a/b.
We know that, sinθ=Opposite/Hypotenuse
Here, Opposite = a and Hypotenuse = b
Let the adjacent side be x.
Here, x=√(b²-a²)
Given that, sin(90°-x) = cosx
Now, cosx=x/b
cosx=√(b²-a²)/b
Therefore, the value equal to the given trigonometric expression sin(90°-x) is √(b²-a²)/b.
Learn more about the trigonometric ratios here:
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HELP WITH ANGLES AGain LOL
you run 15 miles in 150 minutes your brother runs 30 miles in 300 minutes are the rates proportional?
Answer:
im not sure on how to answer that
Step-by-step explanation:
Find the slope of the line that contains the following pair of
points:
(-3,-4) and (3,-2).
Answer:
1/3
Step-by-step explanation:
gradient or slope = m
m = change in y ÷ change in x
= (-4 - -2) ÷ (-3 - 3)
= (-4 + 2) ÷ (-3 - 3)
= -2 ÷ -6
= 1/3
A function f(x) is graphed on the coordinate plane at is the function rule in siope-intercept form? Enter your answer in the box f(x) =
9514 1404 393
Answer:
y = 2x +1
Step-by-step explanation:
The line rises 2 units for each 1 unit to the right, so its slope is ...
m = rise/run = 2/1 = 2
The line crosses the y-axis at y = 1, so the y-intercept is ...
b = 1
Then the slope-intercept form equation is ...
y = mx + b . . . . . . . for slope m and y-intercept b
y = 2x + 1 . . . . . . . . fill in the known values
QUESTION 12
Maria bought 6 books for a total of $360.00. Math books cost $80.00 and science books cost $50.00. How many science books did she buy? Your
answer should be a number only.
Answer: 4 science and 2 math books
Step-by-step explanation:
Let M and S stand for the numbers of math and science books.
We know that M+S = 6 books
and M*80 + S*50 = $360
Rearance the first: M = 6-S
Use this definition of M in the second equation:
(6-S)*80 + S*50 = $360
480-80S + 50S = 360
-30S = - 120
S = 4
Use S=4 in the first equation (M=6-S) to find the number of math books, 2.
Check to see if there number work:
4*($50)= $200
2*($80)= $320160
Total is $360. It works.
The tape diagram represents an equation.
Answer:
y² = 7
Step-by-step explanation:
Anna says that 5 1/3 is not a rational number because it’s not in the fraction form of a/b. Do you agree? plsss help
Answer:
No.
Step-by-step explanation:
A rational number is a number that can be written in the form a/b, where a and b are integers. A rational number does not have to be written in the form a/b. I just needs to be able to be written in that form.
Can 5 1/3 be written as a fraction of integers?
5 1/3 = 5 + 1/3 = 15/3 + 1/3 = 16/3
5 1/3 = 16/3
16/3 is in the form a/b, where a and b are integers.
Since 5 1/3 can be written as a fraction of integers, it is rational.
Anna is incorrect.
6. Cafe A offers 2 free bottled waters or juices for every 20 purchased. What is the ratio of free drinks to purchased drinks? *
Answer:
1: 10
Step-by-step explanation:
2/2 =2
20/2 = 10
i need the answer to f(x)=2x+3
[tex]\sf 7-5x=-43[/tex]
Answer:
[tex]\sf\longmapsto \: x = 10[/tex]
Step-by-step explanation:
Subtract 7 from both sides:
7−5x−7=−43−7
Simplify:
−5x=−50
Divide both sides by −5:
[tex]\sf\longmapsto \: \frac{ - 5x}{ - 5} = \frac{ - 50}{5} [/tex]
[tex]\sf\longmapsto \: x = 10[/tex]
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]
Answer:
x=10
Step-by-step explanation:
[tex]7-5x=-43[/tex]
[tex]7-5x-7=-43-7[/tex] Subtract
[tex]-5x=-50[/tex]
[tex]\cfrac{-5x}{-5}=\cfrac{-50}{-5}[/tex] Divide
[tex]x=10[/tex]
I need help to fill in the blank for how to solve the equations with the brackets.
“When you see the brackets inside an equation, you’ll need to get rid of the brackets (to access the terms inside), which means you’ll need to ______________ the equation.”
What word is missing that goes with the math statement?
Answer:
take out or aluminate i think
Step-by-step explanation:
Type the correct answer in the box.
Rectangle PQRS is rotated 180 degrees clockwise about the origin to create rectangle P'Q'R'S. Complete the rule that describes the coordinates of rectangle P'Q'R'S after the rotation has occurred.
(x',y')=______
Answer:
The answer is = (x',y')=(-x,-y)
Step-by-step explanation:
= (x',y')=(-x,-y)
What is 180 clockwise?
Rectangle PQRS is rotated 180 degrees clockwise about the origin to create triangle P'Q'R. Complete the rule that describes the coordinates of triangle P'Q'R after the rotation has occurred.
Rule of 180° Rotation
If the point (x,y) is rotating about the origin in a 180-degree clockwise direction, then the new position of the point becomes (-x,-y).
Please check the attached file for a detailed answer.
Learn more about the origin to create rectangles at
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For brainily please help
Answer:
Yes
Step-by-step explanation:
ive answered a and b but struggling to answer c. how do you work it out?
Answer:
-2, 1.5
Step-by-step explanation:
(y1 + y2)/2 = y midpoint formula
so, (-1 + 4) = 3
3 / 2 = 1.5
y = 1.5
Step-by-step explanation:
To find the midpoint:
Use the formula;
d = (x2 + x1)/2, (y2 + y1)/2 where x2 = -2, x1 = -2, y1 = -1, y2 = 4
Substitute the values into the equation above. This gives;
d = (-2 + -2)/2, (4 + -1)/2
= (-4/2), (3/2)
=(-2, 1.5) <<<<<<< ✓ Ans
I hope this helps. Thank you
I REALLY NEED HELP ON THIS Correct Answer please
A triangle’s three angles sums up to 180 degrees. So the first thing you should do is subtract 50 from 180
180 - 50 = 130
Since it’s an isosceles triangle, ∠A and ∠B are of equal size. So we divide the result, 130, by two. This would give us the m∠A, which is 65.
130/2 = 65
In a church, the ratio of adults to children is 10 to 5. If there are 135 people in the church, how many children are there?
Answer:
45
Step-by-step explanation:
That means in every group of 15, there are 5 children
135 / 15 = 9. So Nine groups of 15. 9 x 5 = 45
I need help very bad
Answer:
3
Step-by-step explanation:
[tex]y - 3 = n(x - 5)[/tex]
[tex]3 - 3 = n(5 - 5) \\ 0 = n * 0[/tex]
[tex]12 - 3 = n(8 - 5) \\ 9 = n * 3 \\ n = 3[/tex]
Help! evaluate this number
Answer:
-12×3 = -36.............
I got ace in a week i felt so happy i wanna give someone branliest
2+2
Answer:
4
Step-by-step explanation:
2 plus 2 equals 4 lmk if you need more help
Answer:
4
Step-by-step explanation:
a. How are the functions y = x and y = x + 4 related? How are their graphs related?
Step-by-step explanation:
gggggggggggggiiiiiiiiiiii
Is it possible to list all the fractions between 2 and 3? Explain.
Answer: No
Step-by-step explanation:
There are infinitely many numbers. Numbers so big that they are beyond our comprehnsion. Numbers can also be infinitly small. A fraction is something less than a whole. So the answer is no you can't list them all.
If (a + b)^2 = a^2 +n + b^2 , what is n?
Answer:
[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ n = 2ab[/tex]
65% of 51. Please also show me how to do it because I can't.
Answer:
Step-by-step explanation:
65% of 51 = [tex]\dfrac{65}{100}*51[/tex]
= 0.65 *51
= 33.15
Can someone pls help me
Answer: help what?????
Step-by-step explanation:
Sharel loaded 6 trucks every 16 minutes. At thats rate, how long, in minutes, will it take to load 9 trucks?
The graph represents the data cost for monthly Internet service for a cell phone.
On a coordinate plane, a graph titled Cell Phone Internet Service shows Gigabytes Used on the x-axis and Monthly Cost in dollars on the y-axis. A piecewise function has 3 lines. The 1st line has a closed circle at (0, 15), continues horizontally at y = 15, then has a closed circle at (2, 15). The 2nd line has an open circle at (2, 20) and then continues up to a closed circle at (6, 40). The 3rd line has an open circle at (6, 50) and then continues horizontally at y = 50.
Which function, C(x), represents the monthly cost in dollars in terms of x, the number of gigabytes used in a month?
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15, 2nd column 0 less-than-or-equal-to x less-than-or-equal-to 2 2nd Row 1st column 5 x + 10, 2nd column 2 less-than x less-than-or-equal-to 6 3rd Row 1st column 50, 2nd column 6 less-than x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15, 2nd column 0 less-than-or-equal-to x less-than 2 2nd Row 1st column 5 x + 20, 2nd column 2 less-than-or-equal-to x less-than 6 3rd Row 1st column 50, 2nd column 6 less-than-or-equal-to x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15x, 2nd column 0 less-than-or-equal-to x less-than-or-equal-to 2 2nd Row 1st column 20 x + 5, 2nd column 2 less-than x less-than-or-equal-to 6 3rd Row 1st column 50 x, 2nd column 6 less-than x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15x, 2nd column 0 less-than-or-equal-to x less-than 2 2nd Row 1st column 5 x + 10, 2nd column 2 less-than-or-equal-to x less-than 6 3rd Row 1st column 50 x, 2nd column 6 less-than-or-equal-to x EndLayout
Answer:
C(x) = 15 0 ≤ x ≤ 2
C(x) = 5x + 10 2 < x ≤ 6
C(x) = 50 x > 6
Step-by-step explanation:
Its A
Answer:
c
Step-by-step explanation:
HELP
Which expression should appear on Line 3?
800 + 24 + 12
800 +240 + 12
800 + 600 + 12
80 +240 + 12
Line 3 = (200 × 4) + (60 × 4) + (3 × 4) [multiply the terms in the brackets]
= 800 + 240 + 12
Answer:
Refer to the attachment
Please Help!
Which ordered pair is a solution of the equation?
y=8x+3y=8x+3y, equals, 8, x, plus, 3
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Only (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis
(Choice B)
B
Only (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis
(Choice C)
C
Both (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis and (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis
(Choice D)
D
Neither
Answer:
C) Both (1 , 11) and (-1, -5)
Step-by-step explanation:
y = 8x + 3
Plugin x = 1 and y = 11 in the equation
11 = 8*1 + 3
11 = 8 +3
11 = 11
So, (1 , 11) is a solution.
Plugin x = -1 and y =-5 ,
-5 = 8*(-1) + 3
-5 = -8 + 3
-5 = -5
So, (-1 , -5) is also a solution
Choose the algebraic expression that matches the word phrase below.
the quotient of x and 10
Answer:
x ÷ 10
..,.................