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:
brainly.com/question/25122825.
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An airplane on autopilot took 5 hours to travel 3,590 kilometers. What is the unit rate for kilometers per hour?
Answer:
695 km per hour
Step-by-step explanation:
Determine a series of transformations that would map figure L onto figure M
Answer:
Translation followed by a Rotation.
Step-by-step explanation:
two supplementary angles are in a ration of 3 7 find the measure of each angle
Answer:
54 degrees and 126 degrees
Step-by-step explanation:
hope this helps i'm 9 but I have a 8th grade math knowledge.
Answer:
is 20
Step-by-step explanation:
hi the answer is .......
so what you have to do is that you have to add 3 to 3 =6 and then you have to add 7 to 7 = 14 then you have to add 14 to 6= 20 and this is going to be your answer
The area for any square is given by the function ()=2, where x is the length of a side of the square and y is the area of the square. Find the area of a square with a side length of 3.5 inches.
f(3.5)=
square inches
ENTER THE NUMERICAL ANSWER ONLY. ENTER YOUR SOLUTION AS A DECIMAL. ROUND TO THE NEAREST HUNDREDTH IF NECESSARY.
Answer:
12.25 sq inches
Step-by-step explanation:
3.5*3.5=12.25
How many solutions are there for the following equation? Why?
8(x + 9) = 72 – 5x
Select the option that correctly answers both questions.
1 There is one solution, because the coefficients of the variables on both sides of the equation are different.
2 There is one solution, because the coefficients of the variables on both sides of the equation are the same.
3 There are no solutions, because the coefficients of the variables on both sides of the equation are different.
4 There are no solutions, because the coefficients of the variables on both sides of the equation are the same.
Answer:
I think 2? maybe 1.
Step-by-step explanation:
because it becomes 8x+72=72-5x which can then become 3x=0 then x=0/3 and 0/3=0 so x=0
Graph y= –3x+4.
i need a pic
5o points and brain thing
Refer to the attachment
see if you can solve for y
y-4=3
Answer:
And y = 7?
Step-by-step explanation:
Please help! GEOMETRY! Branliest!
Answer:
None
Step-by-step explanation:
It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0
Answer:
The smallest degree is15°
Consider the line y=-1/2x+9
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
Parallel line: - 1/2
Perpendicular line: 2
Step-by-step explanation:
Eight students in a small class made the test scores shown in the table. What was the mean absolute deviation for the class?
student Score
James- m
Lou- 2m
Rob- 3m
teri- 4m
shawn- 4m
Skip- 3m
art- 2m
Jim- m
Answer:
-5m/2
Step-by-step explanation:
-m+ (-2m) +(-3m)+(-4m) +(-4m)+(-3m)+(-2m)+(-m)/8
-m-2m-3m-4m-4m-3m-2m-m/8
-20m/8
-5m/2
which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equal measure?
Answer:
If one angle of a triangle is larger then another angle, then the side opposite then the larger angle is longer then the side oposite to the smaller angle
Step-by-step explanation:
Given that h is directly proportional to I, copy and complete the table. h) 15 30 75 (l)36 72
Answer:
Answer:(h) =***************************
(l)=***************
What is 43.982 rounded to the nearest hundredth
Answer:
The answer is 42.98
Step-by-step explanation:
you can search up rounding charts online and that would help you a lot! After the decimal, it goes by tens, hundreds, thousand, and so on.
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
maths giving 10 point asap 1 question only
Answer:
Price of shirt=RM9.8
Step-by-step explanation:
Shirt=x Trouser=y
x+y=RM20
5x+y=RM59.20
y=20-x
5x+20-x=59.20
4x=39.20
x=9.8
y=20-9.8
y=10.2
I will give you brainliest if you solve the math question
Answer:
x=60
y=30
Step-by-step explanation:
Answer:
y=30
x=60
Step-by-step explanation:
May I please receive help?
I need help with number 5 please!
As shown on the diagram below ABC ~ DEF, AB=7x, BC=4, DE=7 and EF=x what is the length of AB?
==========================================================
Explanation:
We're told that [tex]\triangle ABC \sim \triangle DE F[/tex] which means triangle ABC is similar to triangle DEF. The order of the letters is important as you'll see in the next two paragraphs.
AB and DE are the first two letters of ABC and DEF respectively. These two sides pair up as one corresponding pair. This forms the fraction AB/DE.
Through similar logic, we get the fraction BC/EF. We have BC and EF as the last two letters of ABC and DEF respectively. This fraction is equal to the previous fraction we set up (due to similar triangles having equal proportions).
Once again, the order of the letters matters to tell us how the sides and angles pair up together.
-----------------
In short, the key takeaway from that last section is that we can form this equation:
AB/DE = BC/EF
From here, we apply substitution and solve for x
So,
AB/DE = BC/EF
7x/7 = 4/x
7x*x = 7*4 .... cross multiplication
7x^2 = 28
x^2 = 28/7
x^2 = 4
x = sqrt(4)
x = 2
We only consider the positive square root because x is some side length. Negative x values are not allowed.
To wrap things up, use that x value to find AB
AB = 7x = 7*2 = 14
A factory makes 84 toys robots in a day after they purchase new equipment now they make 205 robots a day
Based on the given information the percent gain is 144%.
Initial production rate = 84 toy robots per day
Present production rate = 205 robots per day
Using this formula
Percent gain= Increase in production rate /Initial production rate× 100
Where:
Increase in production rate = 205 - 84 =121
Initial production rate = 84 toy robots per day
Let plug in the formula
Percent gain=121/84×100
Percent gain=144%
Inconclusion the percent gain is 144%.
Learn more here:
https://brainly.com/question/20824377
find the equation of a line given two points (1, 2) and (4, 3).
Answer:
[tex]slope \: or \: gradient = y2 - y1 \div x2 - x1 \\ 3 - 2 \div 4 - 1 \\ 1 \div 3 \\ y = mx + c \\ 2 = 1 \div 3 \times 1 + c \\ 2 = 1 \div 3 + c \\ 2 - 1 \div 3 = c \\ c = 5 \div 3 \\ y = 1 \div 3x + 5 \div 3[/tex]
(HELP NEEDED ASAP) What is the force needed to accelerate that same object to 7 m/s2? The unit of force is N (Newtons)
Answer:
20N
Step-by-step explanation:
From a circular sheet of radius 18cm , two circles of radii 4.5cm and a rectangle of length 4cm and breadth 1cm are removed; find the area of the remaining sheet.
Answer: 14 cm
Step-by-step explanation:
Answer:
R=14 cm
total area= πr²
=22/7*196=616 cm²
r2= 3.5 cm
area of the small circles= 2*πr²=2*12.25*22/7=77 cm²
length of rectangle=3
breadth=1
area =lb=3 cm²
area of the small circles+area of rectangle=77+3=80 cm²
remaining area=616-80=536 cm²
(x+6)(−x+1)=0
least to greatest
Answer:
0=(-x+1)(x+6)
Step-by-step explanation:
if a dog eats 20\21kilograms of food per day. How many kilograms will the dog it in the month of august
Answer:
620 to 651
Step-by-step explanation:
21x31=651
210x31=620
Step-by-step explanation:
if a dog eats 20\21kilograms of food per day. How many kilograms will the dog it in the month of august
august has 31 day's so
20/21×31=
=29.524
What is the solution to the following equation? Show all work.
3(x+2)-2x =-2(x-3)+3x
(1) No Solutions
(3) x=2
(2) Infinite Solutions
(4) x=-3
Answer:
No solutions
Step-by-step explanation:
I hope my answer help you.
Rationalize the denominator.
– 5x4
✓4x +7
The question is asking us to make the denominator a rational function by finding a way to remove the square root without changing the value of the overall function.
We can do this by multiplying the denominator and numerator by the √(4x + 7), since multiplying a root term by that root term = the number being rooted (√x × √x = x).
- 5x⁴ × √(4x + 7) = (-5x⁴)(√(4x + 7))
√(4x + 7) √(4x + 7) 4x + 7
Need Help Now Do not Wait need help with all will give 20 points!!!!!!!!!!!!!!
Step-by-step explanation:
the equation of the line simplify your answer type using integers are fraction indication points are the graph this is that what is the answer is
[tex]\sf Helppp! \:29=-8x-3[/tex]
Answer:
29+8x-3=0
Step-by-step explanation:
esto es lo que se esque no se si lo has escrito bien
Answer:
x=-4
Step-by-step explanation:
Switch sides:
−8x−3=29
Add 3 to both sides:
−8x−3+3=29+3
Simplify:
−8x=32
Divide both sides by −8:
−8x/−8 = 32/−8
Simplify again for the result:
x=−4
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]
what is the slope of the line through (-9,6), (-3,9)
what is [tex]−3.64⋅|5.3|−1.5^3[/tex]
Answer:
- 22.667
Step-by-step explanation:
1.5^3 = 1.5 x 1.5 x 1.5 = 3.375
- 3.64 ⋅ | 5.3 | - 1.5^3
= ( - 3.64 ⋅ | 5.3 | ) - 1.5^3
= ( - 3.64 ⋅ 5.3 ) - 1.5^3
= ( - 3.64 x 5.3 ) - 1.5^3
= - 19.292 - 3.375
= - 22.667
A=?
b=?
C =?
Can someone tell me the answer please
Answer:
Below.
Step-by-step explanation:
a = 37 degrees ( vertical angle to 37 )
c = 180 - 37 = 143 degrees (adjacent angles add up to 180).
b = 180 - 37 - 109 = 34 degrees (angles in a triangle sum to 180 degrees).
a = 37 degrees
c = 180 - 37 = 143 degrees.
b = 180 - 37 - 109 = 34 degrees
