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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no need for explanation jsut answer
Answer:
y=4 because 8x4=32
32-2 =30
30+60=90
Answer:
the value of y is 4, so 8(4)-2 are 30 , then 30 degrees are the angle
A figure with coordinates J ( − 12 , 16 ) , K ( − 4 , − 3 ) , L ( − 2 , 16 ) , M ( 1 , 0 ) is dilated by a scale factor of 4 with the origin as the center of dilation. Fill in the coordinates of J ′ of the figure after dilation.
Answer:
Solve by multiplying a scale factor of 4 to each coordinate
Step-by-step explanation:
If the coordinate of J is dilated by a scale factor of 4, the resulting coordinate of the figure J' will be at (-48, 64)
Dilation of coordinatesDilation is a transformation technique used to change the size and shape of an object on a xy-plane.
Given the following coordinate point of a figure JKLM:
J (− 12 , 16 ),
K ( − 4 , − 3 )
L ( − 2 , 16 )
M ( 1 , 0 )
If the coordinate of J is dilated by a scale factor of 4, the resulting coordinate of the figure J' will be at (-48, 64).
Learn more on dilation here: https://brainly.com/question/10253650
7.836 - 937 + 2.846 =.....
Answer:
Hi There,
Your answer is -926.318
For brainily please help
Answer:
No
Step-by-step explanation:
7 + 3 = 10, and in order for this to make a triangle two sides must be greater than one side
Answer:
No
Step-by-step explanation:
two sides, say a and b, with a greater than or equal to b, ,put limits on the length of the third side, c: a-b < c < a+b.
a-b < c < a+b.
7-3 < 10 < 7+3
4 < 10 < 10
False,
Find the difference. 8.6 − 2.87
Answer:
5.73
Step-by-step explanation:
The difference is 5.73.
Anyone willing to help? I have to submit it tmr
Answer:
here's your answer
hope it helps
(look at attachment)
PLEASE ANSWER ASAPEnter the equation of the line in slope-intercept form. Slope is − 2 3 , and (−6, −5) is on the line. The equation of the line is y =
Step-by-step explanation:
there seems to be something missing.
I assume the slope of the line is -2/3.
the slope of a line is always the factor of x in the equation.
the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).
the equation for the line looks like this then :
y = (-2/3)×x + b
to get b we use the provided point (-6, -5) and it's x and y values.
-5 = (-2/3)×-6 + b = 4 + b
b = -9
so, the full equation of the line is
y = (-2/3)×x - 9
What is the value of x if OB is
an angle bisector of
Answer:
x = 8
Step-by-step explanation:
Hi there!
We're given that OB is the angle bisector of angle AOC.
An angle bisector splits an angle into 2 equal halves. Therefore, angles AOB and BOC are equal.
We're given that angle AOB is 8x degrees and angle BOC is 16x-64 degrees.
Set up an equation:
[tex]8x=16x-64[/tex]
Combine like terms:
[tex]-8x=-64\\x=8[/tex]
Therefore, x = 8.
I hope this helps!
Josie used 1/2 of the milk for pancakes this morning. If her brother and sister divided what was left to eat cookies with their movie, what fraction of the milk did each drink?
Answer:
1/4 cup of milk
Step-by-step explanation:
= 1/2 ÷ 2
= 1/2 × 1/2
= 1/4
I need help asap!! ty
Answer:
17/5
Step-by-step explanation:
put the value of pi in 2/3p+3
now,
[tex] \frac{2}{3} \times \frac{3}{5} + 3[/tex]
3 cancels 3 and
2/5 +3
=
[tex] \frac{2 + 3 \times 5}{5} [/tex]
hence your answer will be 17/5
15
2) The bakers at Healthy Bakery can make 220 bagels in 2 hours. How many
bagels can they bake in 19 hours? What was that rate per hour?
???
2090
Step-by-step explanation:
220 divided by 2 hours is 110 per hour
19 times 110 equals 2090
What is the slope of this line? A line passing through the points (0, 2) & (2, 1).
Answer:
m = − 1/2
Step-by-step explanation:
Use the formula to calculate the slope of the line passing through the points.
slope = (y₂ - y₁) / (x₂ - x₁)
Input the values into the formula.
Subtract the values in parentheses.
Simplify the fraction to get the slope.
Answer: y = -1/2x +2
A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. Labor-Hours per 8 and 6 Ski Maximum Labor-Hours Department is 336 and 48 Trick Ski Slalom Ski Available per Day Fabricating Finishing 1 1 If the profit on a trick ski is $40 and the profit on a slalom ski is $60, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? The maximum profit is $ nothing. The maximum occurs when nothing trick skis and nothing slalom skis are produced.
Answer:A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. (A) If the profit on a trick ski is $40$ and the profit on a slalom ski is $30,$ how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? (B) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to $25$ and all other data remains the same. (C) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski increases to $45$ and all other data remain the same.
Step-by-step explanation:
The optimal production plan for maximizing profit is to manufacture 48 slalom skis and 0 trick skis each day, resulting in a maximum profit of $2880.
Given data:
To solve this problem, we can use linear programming techniques to find the optimal number of trick skis and slalom skis that should be manufactured each day to maximize the profit.
x = number of trick skis
y = number of slalom skis
We need to maximize the profit function: P = 40x + 60y
Subject to the following constraints:
1x + 1y ≤ 336 (Fabricating department constraint)
1x + 1y ≤ 48 (Finishing department constraint)
x, y ≥ 0 (Non-negativity constraint)
We can graphically represent these constraints on a coordinate plane and find the feasible region, which is the region where all constraints are satisfied. Then, we can evaluate the profit function at the corner points of the feasible region to find the maximum profit.
After solving this system of linear inequalities, we find that the feasible region is a triangle with vertices at (0, 48), (0, 48), and (48, 48).
Evaluating the profit function at these vertices:
P(0, 48) = 40(0) + 60(48)
= $2880
P(0, 0) = 40(0) + 60(0)
= $0
P(48, 0) = 40(48) + 60(0)
= $1920
The maximum profit is $2880, which occurs when they produce 48 slalom skis and 0 trick skis.
Hence, the optimal production plan for maximizing profit is to manufacture 48 slalom skis and 0 trick skis each day, resulting in a maximum profit of $2880.
To learn more about linear programming, refer:
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These triangles are similar. Find the missing
length.
Answer:
h=57
Step-by-step explanation:
The triangles seem to have a pattern, which is that the numbers on the left are multiplied by 1.5 to get the numbers on the right. We figured this out by doing 42/28 and 54/36 (which are the corresponding numbers), which would both equal 1.5. Now to find h we would do the opposite of divide which is multiply, we would do 38*1.5 and get 57.
-2×(-2)³×(-2)×3+(-2)×3×(-1)³
Answer:
-90
Step-by-step explanation: I hope its the right answer. If not I'm sorry.... I'm just a kid...
helppp
what is the slope
The slope is [tex]-\frac{3}{7}[/tex]
jerome completes 8 extra credit problems and then 4 problems each day until the worksheet is done.28 problems is on the worksheet.
The product of three whole numbers is 120 how many different possibilities are there for the three whole numbers
9 different possibilities
Answer:
z. sjshshdbd.d.difffjfjfjf
If line m is perpendicular to line n, and the slope of line m is -5/3, what is the slope of line n? Write in simplest form.
Answer:
Step-by-step explanation:
Slope of perpendicular line = [tex]\frac{-1}{m}[/tex]
= -1 ÷ [tex]\frac{-5}{3}[/tex]
[tex]= -1 *\dfrac{-3}{5}\\\\=\dfrac{3}{5}[/tex]
pls help
Which of the sets of ordered pairs represents a function? (5 points)
A = {(3, −5), (4, 6), (−3, 9), (2, 7)}
B = {(2, 4), (−1, −7), (5, 6), (4, 3)}
HELPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!
Answer:
1: 155
2: 222
3: 44
4: 132
5: 163
6: i dont know
7: 202
8:?
9: ?
hope this helped!
Step-by-step explanation:
1.)155
2.)222
3.)44
4.)132
5.)163
6.)93.92857142857142
7.)202
8.)112.9032258064516
9.)76.66666666666666
Step-by-step explanation:Sana po makatulong( ˘ ³˘)♥︎
I NEED HELP ON THIS QUICKLY
Answer:
B) Alternate Exterior Angles
Step-by-step explanation:
They are exterior (on the outside of the the lines) and they are alternate (opposite left and right).
Answer:
Alternate exterior angles
Step-by-step explanation:
Alternate exterior angles are outside angles that lies to the opposite side.
dont understand section 3 assesment review
Answer:
13) E
14) B
15) D
16) F
17) A
18) C
please answer this question
Answer:
3rd option
Step-by-step explanation:
a point (0, y ) lies on the y- axis
a point (x, 0 ) lies on the x- axis
a point (x, y ) lies in I quadrant
a point (- x, y ) lies in II quadrant
a point (- x, - y ) lies in III quadrant
a point (x, - y ) lies in IV quadrant
Then
point (2, - 5 ) lies in IV quadrant
-----------------------------------------------------------------
We require 2 equations with the repeating digit 7 placed after the decimal point.
let x = 0.427777... ( multiply both sides by 100 and 1000 )
100x = 42.777..... (1)
1000x = 427.777.... (2)
Subtract (1) from (2), thus eliminating the repeating digits
900x = 385 ( divide both sides by 900 )
x = [tex]\frac{385}{900}[/tex] = [tex]\frac{77}{180}[/tex]
Simplify: |7 – 9| + (7 – 9)^2
Answer:
6
Step-by-step explanation:
Following PEMDAS ( parentheses, exponents, multiplication, division, addition, subtraction)
| 7 - 9 | + ( 7 - 9 ) ^ 2
| 7 - 9 | + -2 ^ 2
| 7 - 9 | + ( -2 x -2 )
| 7 - 9 | + 4
| -2 | + 4
2 + 4
6
identify the congruence transformation shown as a reflection, translation or rotation
Answer:
Counterclockwise rotation 90°
Step-by-step explanation:
first quadrant graph -> 2nd quadrant
Counterclockwise rotation 90° : (x,y) -> (-y , x)
If y=6 when x=2 over 3 find x when y=12
Answer:
4/3 or 1 1/3
Step-by-step explanation:
So if y = 6, when x = 2/3. Then, x would equal 1 and 1/3, because 12 is twice the amount of 6, so you'd also multiply 2/3 by 2.
(To multiply a whole number by a fraction, first multiply the whole number by the numerator and then divide that by the denominator. For example: 2 × 2 = 4, since you can't really divide 4 by 3 it would stay as is, but you can turn it to a mixed number. 4/3 is the same as 1 whole and an extra 1/3, or in other words 1 1/3).
Hope this helped :)
HELLP MEEEEEE
PLEASE
Answer:
x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]
x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]
Step-by-step explanation:
Quadratic equation:
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
The equation is:
[tex]4x^2 - 10x + 5 = 0\\[/tex]
So:
a = 4
b = -10
c = 5
Plug the variables into the quadratic equation:
[tex]x = \frac{-(-10) +- \sqrt{(-10)^2 - (4 * 4 * 5)} }{(2 * 4)}[/tex]
[tex]x = \frac{\sqrt{10 +- \sqrt{100 - 80} } }{8}[/tex]
[tex]x = \frac{10 + \sqrt{20} }{8}[/tex]
Divide both sides by 8:
10 ÷ 8 = [tex]\frac{5}{4}[/tex]
[tex]\sqrt{20}[/tex] ÷ 8 = [tex]\frac{\sqrt{5}}{4}[/tex]
[tex]\frac{5}{4}[/tex] +- [tex]\frac{\sqrt{5}}{4}[/tex]
This means that the solutions that satisfy the equation is:
x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]
x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]
Hope this helps!
Which angles are vertical angles?
<8 and <6
<8 and <7
<8 and <5
Angle 8 and angle 5 are vertical angles
Hey!
Need help please...
[tex]\sf{What~is~2x~+~16= 8.[/tex]
Answers/w explanation ✅ Nonsense answers, or answers. that I didn't ask for will be reported.
[tex]{ \qquad{ \sf \green{Answer \downarrow}}}[/tex]
Subtract 16 from both sides of the equation.
[tex]{ \qquad{\longmapsto \sf \red{2x + 16 - 16 = 8 - 16}}}[/tex]
[tex]{ \qquad{\longmapsto \sf \blue{Simplify \: now}}}[/tex]Subtract the numbers
[tex]{ \qquad{\longmapsto \sf \red{2x = 8}}}[/tex]
Divide both sides of the equation by the same term.
[tex]{ \qquad{\longmapsto \sf \green{ \frac{2x}{2} = \frac{ 8}{2} }}}[/tex]
Cancel terms that are in both the numerator and denominator
[tex]{ \qquad{\longmapsto \sf{ \qquad\longrightarrow\quad\sf \dfrac{\cancel{2x}}{\cancel{2} } = }}}\qquad\quad\sf\dfrac{\cancel{ 8}}{\cancel{2}}[/tex]
[tex]{ \qquad{\longmapsto \sf{x = {\qquad{ \sf \pink{ 4}}}}}}[/tex]
[tex]{ \red{ \rule{9cm}{0.1cm}}}[/tex]