Answer:
The correct ratio is 40/41
The Unit Circle
What is the domain of a sine function?
a. positive numbers
b. All real numbers
c. negative numbers
d. positive numbers including zero
Please select the best answer from the choices provided
Answer:
B. All real numbers
Step-by-step explanation:
I calculated it logically
Answer:
I believe it is all real numbers
the ratio of length and breadth of a room is 4:3. If the room is 12 m long. Find is breadth
Answer:
Step-by-step explanation:
ratio of length to breadth=4:3
let breadth be x m
4/3=12/x(do cross multiplication)
3*12=x*4
36=4x
36/4=x
9=x
therefore breadth= 6m
I need help with the solutions for 19,20,21 thank you
Answer:
GIVEN :-
Coordinates of points are :-
(-5 , 12)(2 , 8)(3 , -6)TO FIND :-
All the trigonometric values of given pointsFACTS TO KNOW BEFORE SOLVING :-
It's important to know that :-
In 1st quadrant (0° to 90°) , all the trigonometric values are positive .In 2nd quadrant (90° to 180°) , except sin & cosec , rest all trigonometric values are negative.In 3rd quadrant (180° to 270°) , except tan & cot , rest all trigonometric values are negative.In 4th quadrant (270° to 360°) , except cos & sec , rest all all trigonometric values are negative.SOLUTION :-
Q1)
Plot (-5,12) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 2nd quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 12 unitslength of base of triangle (OB) = 5 unitslength of hypotenuse (OA) = 13 unitsLet the angle between OA & positive x-axis be θ.
⇒ ∠AOB = 180 - θ
So ,
[tex]\sin (AOB) = \sin(180 - \theta) = \sin \theta = \frac{12}{13}[/tex][tex]\cos(AOB) = \cos (180 - \theta) = -\cos \theta = -\frac{5}{13}[/tex][tex]\tan(AOB) = \tan(180 - \theta) = -tan \theta = -\frac{12}{5}[/tex][tex]\csc(AOB) = \csc(180 - \theta) = \csc \theta = \frac{1}{\sin \theta} = \frac{13}{12}[/tex][tex]\sec(AOB) = \sec(180 - \theta) = -\sec \theta = -\frac{1}{\cos \theta} = -\frac{13}{5}[/tex][tex]\cot(AOB) = \cot(180 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{5}{12}[/tex]Q2)
Plot (2,8) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 1st quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 8 unitslength of base of triangle (OB) = 2 unitslength of hypotenuse (OA) = 2√17 unitsLet the angle between OA & positive x-axis be θ.
⇒ ∠AOB = θ
So ,
[tex]\sin(AOB) = \sin \theta = \frac{8}{2\sqrt{17} } = \frac{4}{\sqrt{17} }[/tex][tex]\cos(AOB) = \cos \theta = \frac{2}{2\sqrt{17}} = \frac{1}{\sqrt{17}}[/tex][tex]\tan(AOB) = \tan \theta = \frac{8}{2} = 4[/tex][tex]\csc(AOB) = \csc \theta = \frac{1}{\sin \theta} = \frac{\sqrt{17}}{4}[/tex][tex]\sec(AOB) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{17}[/tex][tex]\cot (AOB) = \cot \theta = \frac{1}{\tan \theta} = \frac{1}{4}[/tex]Q3)
Plot (3,-6) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 4th quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 6 unitslength of base of triangle (OB) = 3 unitslength of hypotenuse (OA) = 3√5 unitsLet the angle between OA & positive x-axis be θ . [Assume it in counterclockwise direction].
⇒ ∠AOB = 360 - θ
So ,
[tex]\sin(AOB) = \sin(360 -\theta) = -\sin \theta = -\frac{6}{3\sqrt{5} } = -\frac{2}{\sqrt{5} }[/tex][tex]\cos(AOB) = \cos(360 - \theta) = \cos \theta = \frac{3}{3\sqrt{5} } = \frac{1}{\sqrt{5} }[/tex][tex]\tan(AOB) = \tan(360 - \theta) = -tan \theta = -\frac{6}{3} = -2[/tex][tex]\csc(AOB) = \csc(360 - \theta) = -\csc \theta = -\frac{1}{\sin \theta} = -\frac{\sqrt{5} }{2}[/tex][tex]\sec(AOB) =\sec (360 - \theta) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{5}[/tex][tex]\cot(AOB) = \cot(360 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{1}{2}[/tex]If 2^2x = 2^3, what is the value of x?
Answer:
x=2
Step-by-step explanation:
2 + 2 = ?
please help!
Answer:
4
Hope that this helps!
PLEASE ANSWER THIS ASAP IM ALWAYS SO GRATEFULL!!
Answer:
P(6) is 1/12, P(Shaded) is 8/12, P(Odd or Unshaded) is 10/12, and P(Even and Shaded) is 11/12
Step-by-step explanation:
What does area mean? When you are asked to find the
area what are you doing?
Answer:
you want to muliply the length and width to find area.
Step-by-step explanation:
How many additional books does Tony get each month?
Answer:
3 books
Step-by-step explanation:
Answer:
3 books
Step-by-step explanation:
On the first 1st month Tony gets 11 book but on the second month Tony gets 14
14 books - 11 books = 3 books
There is a pattern of 3 new books each month.
(1 month = 3 new books)
Tony gets 3 additional books every/each month.
Can you help me with Math
Answer:
42+106=x
148=x
Step-by-step explanation:
A book which was bought for Rs.100 was sold at Ra.90 what will be the loss percent?
Answer:
10% or 1%
Step-by-step explanation:
i swear u better not remove this
An architect is creating a scale drawing of a school computer lab. The length of the lab is 32 feet and the width of the lab is 48 feet. If each 16 feet of the lab equals 2 centimeters on a scale drawing, which of the following drawings is the scale drawing of the computer lab?
Answer:
The answer is B
Step-by-step explanation:
Length:
32ft. / 16ft. = 2
2 x 2cm. = 4 cm.
Width:
48ft. / 16ft. = 3
3 x 2cm. = 6cm
Answer:
b
Step-by-step explanation:
Which is the best estimate for the weight of a bicycle?
A. 2 ounces
B. 2 pounds
C. 20 ounces
D. 20 pounds
Answer:
B
Step-by-step explanation:
i know this already from another
3х2+9х+6
Foil method of
Answer:
3(4+3x)
Step-by-step explanation:
See Image below.
Helpppppppppppppppp meeeeeeeeeeee plssssssssssssssssss
Answer:
A: NO
B: YES
C: NO
D: NO
Step-by-step explanation:
On cold days Leah likes to make hot chocolate. She uses 8 tablespoons of cocoa and 2 tabelspoons of sugar, what ratio is equivalent to 8 to 2? Complete the statement. The ratio 8 to 2 is equivalent to the ratio ? To ?
Answer:
4 to 1
Step-by-step explanation:
The greatest common factor between 8 and 2 is 2. So 2 will go into 8, 4 times. And 2 will go into 2, 1 time. So simplified the equivalent ratio is 4:1.
24. Identify the center and radius of the circle given the equation (x +15)2 + (7 - 9)2 = 25 .
a. Center: (-15, 9), Radius: 5
b. Center: (15, -9), Radius: 25
c. Center: (-15, -9) Radius: 5
d. Center: (15,9) Radius: 25
Answer:
a. Center: (-15, 9), Radius: 5
Step-by-step explanation:
Equation of a circle:
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this question, we have that:
[tex](x + 15)^2 + (y - 9)^2 = 25[/tex]
Comparing both equations:
[tex]x - x_0 = x + 15[/tex]
[tex]x_0 = -15[/tex]
And
[tex]y - y_0 = y - 9[/tex]
[tex]y_0 = 9[/tex]
The center is [tex](-15,9)[/tex].
For the radius:
[tex]r^2 = 25[/tex]
[tex]r = \sqrt{25} = 5[/tex]
The correct answer is given by option a.
What is the area of this square?
A= 12
B= 48
C= 72
D= 144
No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points
========================================================
Explanation:
A square has all four sides that are the same length. So all four sides are 12 cm
area = side*side = 12*12 = 144 cm^2
Or you could say
area = (side)^2 = (12)^2 = 144 cm^2
Squaring a number is the same as multiplying it by itself. Hence the name "square" refers to a side length pairing up with its corresponding area value.
---------
Side note: The perimeter is 4*(side) = 4*12 = 48 cm. It's possible that choice B is put in there as a trick answer.
B
If you do 4x12 you will end up with 48
Find the solution(s) to the system of equations. Select all that apply.
y=x-4
y = 2x- 5
Answer:
Y
Step-by-step explanation:
i’m so confused.. a little help?
Answer:
Triangle has a greater perimeter.
Step-by-step explanation:
Triangle perimeter = 21cm
Add the sides.
Square perimeter = 16cm
Add the sides (since it's a square the sides are the same.)
I WILL GIVE 90 POINTS!!!! PLEASE EEEEXXXXPPPLLLAAAIIIIIIIIIIIIINNNNNNN!!!!!!!!!!!!!!!!!
Moby rolls two dice. what is the probability that the sum of the numbers on the dice will be 8?
A. 1/36
B. 3/36
C. 5/36
D. 8/36
Answer:
C) 5/36
Step-by-step explanation:
Now, suppose, dice 1 gives 2. Here also, dice 2 can be anything between 1 and 6. But, the sum of both the dices will be 8 only if dice 2 shows 6.
Similarly, now, if dice 1’s face is 3, sum will be 8 only if dice 2’s upper face shows 5.
If dice 1 shows 4, sum = 8 only if dice 2 is 4.
If dice 1 is 5, sum = 8 only if dice 2 is 3.
If dice 1 is 6, sum= 8 only if dice 2 is 2.
Therefore, sum will be 8 only 5 times. But, sample space consists of 36 values ( combination of values of dice 1 and dice 2).
Therefore, probability = 5/36.
Hope it helps.
Answer:
Now, suppose, dice 1 gives 2. Here also, dice 2 can be anything between 1 and 6. But, the sum of both the dices will be 8 only if dice 2 shows 6.
Similarly, now, if dice 1’s face is 3, sum will be 8 only if dice 2’s upper face shows 5.
If dice 1 shows 4, sum = 8 only if dice 2 is 4.
If dice 1 is 5, sum = 8 only if dice 2 is 3.
If dice 1 is 6, sum= 8 only if dice 2 is 2.
Therefore, sum will be 8 only 5 times. But, sample space consists of 36 values ( combination of values of dice 1 and dice 2).
Therefore, probability = 5/36.
Hope it helps.
Step-by-step explanation:
PLEASE HELP I DONT KNOW
Answer:
28π is the circumference
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!
Answer:
I think it's 18
Step-by-step explanation:
because I'm looking at 12/8 to be a ratio, that means that the size of the bigger figure had decreased by 12/8 or 1.5
then I divided the 27 by 1.5 to get the area of the small one which was 18.
A carpenter bought 850 nails. Each nail
has a mass of 5.2 x 10-3 kg. What is the total
mass, in kilograms, of the nails the carpenter
bought. Express your answer as a decimal.
Answer:
4.42
Step-by-step explanation:
5.2 x 10-3 multiplied by 850. I got it right on my assignment
The mass of the 850 nails is 442 x 10⁻² kilograms.
What is multiplication?The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.
Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.
A carpenter bought 850 nails.
Each nail has a mass of 5.2 x 10-3 kg.
To find the total mass:
Use multiplication operation,
850 x 5.2 x 10⁻³
= 4420 x 10⁻³
= 442 x 10⁻²
Therefore, the mass is 442 x 10⁻² kilograms.
To learn more about the multiplication;
https://brainly.com/question/19634536
#SPJ2
Rectangle F'G'H'I' is a translation of rectangle FGHI. Write the translation rule.
Which pair of inequalities is equivalent to 0
Choose the correct answer below.
Answer: D is correct
Step-by-step explanation:
Answer:
C. x > 0 and x ≤ 3
Step-by-step explanation:
0 < x ≤ 3
when 0 < x then x > 0
Example: 0 < 2 then 2> 0
Therefor
x > 0 and x ≤ 3
Write an equation that represents a parallel line to y=1/2x + 4
Answer:
1/2
Step-by-step explanation:
if u(x)=-2x^2+3 and v(x)=1/x, what is the range of (uxv)(x)
Answer:
u(x)=−2x2+3.
Step-by-step explanation:
v(x )=1x whichever notation you prefer: (u∘v)(x)=u(v(x)).
Answer:
u(x)=−2x2+3.
Step-by-step explanation:
Given LP, LM = (3x + 1), MN = (4x –3), NP = (6x – 5), and LM =NP.
M
AN
What is the length of MP?
Answer:
[tex]MP = 12[/tex]
Step-by-step explanation:
Given
[tex]LM = (3x + 1), MN = (4x -3), NP = (6x - 5)[/tex]
[tex]LM = NP[/tex]
Required
Find MP
We have:
[tex]LM = NP[/tex]
This gives:
[tex]3x + 1 = 6x - 5[/tex]
Collect like terms
[tex]3x - 6x = -1-5[/tex]
[tex]-3x = -6[/tex]
Solve for x
[tex]x = 2[/tex]
MP is calculated as:
[tex]MP = MN + NP[/tex]
[tex]MP = 4x - 3 + 6x - 5[/tex]
Collect like terms
[tex]MP = 4x + 6x - 3 - 5[/tex]
[tex]MP = 10x - 8[/tex]
Substitute [tex]x=2[/tex]
[tex]MP = 10*2 - 8[/tex]
[tex]MP = 20 - 8[/tex]
[tex]MP = 12[/tex]
LINK=REPORT
(4^2)^3=
A. 4^5
B. 4^6
C. 8^5
D. 16^5
(5^2)(5^3)=
A. 5^5
B. 5^6
C. 10^5
D. 25^5
(3^4)(3^5)=
A. 3^9
B. 9^9
C. 3^20
D. 6^20
Which is equivalent to 2^3•2^-5?
A. 2^-15
B. 2^-8
C. 2^-2
D. 2^2
If you answer all four of them and they are right I will give brainliest!
Answer:
a) 4^6
b) 5^5
c)3^9
d)2^-2
Step-by-step explanation:
When raising a number to a power and then to another power, you can multiply the exponents.
When multiplying numbers with the same base to different exponents, you can add the exponents.
Select two equations of lines that are perpendicular to the line whose equation is x + 5y = 50. I need help please.
Answer:
[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
In this question:
The equation of the line is:
[tex]x + 5y = 50[/tex]
Placing in the standard format:
[tex]5y = -x + 50[/tex]
[tex]y = -\frac{x}{5} + 10[/tex]
The slope is [tex]-\frac{1}{5}[/tex]
Slope of the perpendicular lines:
[tex]-\frac{m}{5} = -1[/tex]
[tex]m = 5[/tex]
So
[tex]y = 5x + b[/tex]
Attributing two values to b:
[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.