Answer:
[tex]cos^2\theta + sin^2\theta = 1[/tex]
Step-by-step explanation:
Given
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2[/tex]
Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2[/tex]
Going by the Pythagoras theorem, we can assume the following.
a = Oppositeb = Adjacentr = HypothenuseSo, we have:
[tex]Sin\theta = \frac{a}{r}[/tex]
[tex]Cos\theta = \frac{b}{r}[/tex]
Having said that:
The expression can be further simplified as:
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex]
Substitute values for sin and cos
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex] becomes
[tex]cos^2\theta + sin^2\theta = 1[/tex]
The restaurant bill for Annette is $55.82.
She adds an 18% tip for the waiter.
What is the total cost of Annette's meal rounded to the nearest cent?
pls answer seriously, I'm failing this class its so hard for me :(
15 is what percent of 300?
Answer:
45
Step-by-step explanation:
To find you need to turn the percent into a decimal and multiply it by the number you want to find the percent of.
0.15 x 300=45
Visitors to a cinematic are either children, adults or pensioners. Ratio of children to adult visitors is 1:2 Ratio of adults to pensioners is 3:4 A stratified sample of 85 is to be taken from the cinema visitors. How many pensioners should there be in the sample?
Ratio of children, adults and pensioners is 1 : 2 : 8/3 = 3 : 6 : 8.
Let, 3x is number of children.
So, 6x is number of adults and 8x is number of pensioners.
Now,
3x + 6x + 8x = 85
17x = 85
x = 5
Therefore, number of pensioners are 8×5 = 40.
Hence, this is the required solution.
If 15 is subtracted from three times a certain number,
the result is 27. Find the number
Answer:
x=14
Step-by-step explanation:
3x-15=27 (add 15 to both sides)
3x=42 (divide both sides by three)
x=14
The required number is -4.
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Now it is given that, 15 is subtracted from three times a certain number,
the result is 27.
Now let x be the number.
Three times the number = 3x
Therefore, 15 is subtracted from three times a certain number = 15 - 3x
Therefore, the equation for 15 is subtracted from three times a certain number, the result is 27 is,
15 - 3x = 27
Subtracting 15 both the side we get,
15 - 3x - 15 = 27 - 15
⇒ -3x = 12
or, x = -12/3
⇒ x = -4
which is the required number.
Thus, the required number is -4.
More about linear equation :
brainly.com/question/16584198
#SPJ2
Answer ASAP!!! First correct answer gets brainliest
Step-by-step explanation:
Given problem;
Write the equation of the line with the given slope and y-intercept
The equation of a line is expressed as;
y = mx + b;
m is the slope and b is the y-intercept
7. m = -5, b = -6
y = mx + b
Input the parameters:
y = -5x -6
8. m = 1, b = -4
y = mx + b
Input the parameters:
y = x - 4
9. m = 0.4, b = -9
y = mx + b
Input the parameters:
y = 0.4x - 9
10. m = 0, b = 3
y = mx + b
Input the parameters:
y = 3
solve it please fo 35 points
Answer:
b
Step-by-step explanation:
Which equation has a slope of 2 and a y-intercept of - 5?
X a. 2x + y = -5
b. 2x - y = 5
c.X + 2y = - 10
d. X - 2y = 10
Answer:
b. 2x - y = 5
you are able to change the equation to y = 2x -5. this is then in the form of y = mx + b.
m = slope and b = y-intercept
m = 2 and b = -5
Answer
d. x - 2y = 10
Step-by-step explanation:
The answer you chose does have the correct y intercept, but the incorrect slope, it was asking for a slope of 1/2, not a slope of -2.
REMEMBER: The y intercept is when x = 0, the x intercept is when y = 0.
To find the y intercept, substitute 0 for x, and solve for y. The slope is the coefficient of x when the coefficient of y is 1.
Just convert this standard form equation into slope intercept.
Standard Form: Ax + By = C.
Slope Intercept: y = mx + b. (m is the slope, b is the y intercept)
To convert just get y by itself completely on the left side of the equation. (y has to have a coefficient of positive 1)
x - 2y = 10
-x -x
-2y = -x + 10
÷2 ÷2 ÷2
-y = -1/2x + 5
×-1 ×-1 ×-1
y = 1/2x - 5 → y = mx + b
m = 1/2, and b = -5
Which of these items is the better buy? A. An 8-pack of glue sticks for $3.99 or 1 glue stick for $0.54? B. A 12-pack of tape for $2.50 or 1 roll of tape for $0.19 c. A 100-pack of pencils for $4.88 or 1 pencil for $0.05 d. A 50-pack of paper clips for $0.89 or a 25-pack of paper clips for $0.45
Answer: A is the 8-pack, B is the single roll, C is the 100 pack, D is the 50 pack.
Step-by-step explanation:
For each of these, multiply the smaller number by a number that has a product of the bigger number, example D. multiply 25 by 2 to get 50, then compare the totals.
Answer:
the first one is an 8 pack of glue sticks
the second one is 1 tape roll for .19
the third one is 100 pack of pencils for 4.88
the fourth one is a 25 pack of paper clips
Step-by-step explanation:
-6x =48
need help urgently
Answer:
x = -8
Step-by-step explanation:
Divide each side by -6 to cancel out the -6 next to x. It should now look like this: x = -8I hope this helps!
[tex]→-6x =48[/tex]
[tex]step \: by \: step \: explanation:[/tex][tex] \implies{- 6x = 48}[/tex]
[tex]\implies \: x = \frac{48}{ - 6 } [/tex]
[tex] \blue{\implies \: x = - 8}[/tex]
Consider f(x) = mx + b where m and b are both non-zero constants. The function g(x) is the inverse of f(x). Which of the following functions is g(x)? Use composition of functions to check your answer.
Answer:
2x-54n
Step-by-step explanation:
help please order the temperatures from least to greatest !
-0.8 C
-1.2 C
0.5 C
- 2.0 C
0.8 C
The diameter of a cylinder is doubled, and the height is cut in half. what will happen to the volume of the cylinder? please!
Answer:
The volume will be four times the original volume.
Step-by-step explanation:
V = (pi)r2h is the formula for the volume of a cylinder. The formula becomes V = (pi)(2r)2h if the radius is doubled and the height remains the same. V = 4(pi)r2h after simplifying. ... Therefore the new volume would be 4 times the original volume.
how to factorise 15x-10x^3
Find x and y. Give reasons to justify your solution.
Answer:
122
Step-by-step explanation:
For f(x)=4x+11, what is the value of f(15)?
2(x-5)=4(x+1)
Please solve for x
Answer:
-7
Step-by-step explanation:
-7-5=-12
-12×2=-24
-7+1=-6
-6×4=-24
-24=-24
Answer:
x = -7
Step-by-step explanation:
2(x - 5) = 4(x + 1)
Multiply the parenthesis by the outside numbers (simplify).
2x - 10 = 4x + 4
Combine like terms (add 20 to both sides, and subtract 2x).
0 = 2x + 14
Subtract 14 from both sides of the equation.
2x = - 14
Divide both sides of the equation by 2.
x = -7
Hope this helps, let me know if you have any questions :)
20 POINTS AND BRAINLIEST What is the value of x in this equation?
6x - 4(x - 9) = 2(3 - x)
Enter your response here:
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answer:
x = -15/2 or -7.5
Step-by-step explanation:
6x - 4(x - 9) = 2(3 - x)
6x - 4x + 36 = 6 - 2x
2x + 36 = 6 - 2x
4x + 36 = 6
4x = -30
x = -30/4
x = -15/2
Check:
6(-7.5) + -4(-7.5 - 9) = 2(3 + 7.5)
-45 + 66 = 2(10.5)
21 = 21
Answer:
[tex]-\frac{15}{2}[/tex]
Step-by-step explanation:
6x-4(x-9)=2(3-x)
6x-4x+36=6-2x (expansion)
2x+36=6-2x (collecting like terms)
2x+2x=6-36
4x=-30 (-30/4)
x=-[tex]-\frac{15}{2}[/tex]
SAS Similarity
Not Similar
SSS Similarity
AA Similarity
Answer:
So using process of elimination it isnt possible for it to be AA or not similiar bc they are similiar since there vertical angles so were left with picking between SSS and SAS which I know that there is an angle that is congruent which is at the midpoint so if i were you I would put SAS similarity.
Step-by-step explanation:
I just took a test of this lesson so I hope im right.
10 points
Find the DISTANCE between point (3, -8) and point (-11,5). *
Answer:
19.1
Step-by-step explanation:
Angle 1 is 50°. Which angle is also 50°?
(A) Angle 2
(B) Angle 3
(C) Angle 4
(D) No other angle will measure 50°.
Identify the slope and y-intercept of the line. Then write the equation in slope form.
Write 30/45 in simplest form
Answer:
[tex] \frac{30}{45} \\ = \frac{2}{3} (both \: divided \: by \: 15)[/tex]
2/3 is the correct answer.....Thank you ☺️
Answer: 2/3
Step-by-step explanation: divide 30 and 45 by 15
write the sentence as an equation.241is the same as 364 fewer than f
Answer:
241 = f - 364
Step-by-step explanation:
X to the power of 2 plus Y to the power of 2 plus 4x-2y=1
The equation of a circle in a xy plane is shown above. what is the radius of the circle.
A) 2
B) 3
C) 4
D) 9
I have no idea what the answer is
Answer:
sfddddddgfd
Step-by-step explanation:
Find the function that can be used to represent the bananas
Answer:
it the 3rd one or the first
Step-by-step explanation:
Standing on top of a 235 foot tall building, you spot your friend on the ground who is 94 feet away from the building. What is the angle of depression you had to look to spot your friend?
Answer:
bebot dede loooStep-by-step explanation:
Solve for x:
1/2x + 10 = -2 + x
Answer: x = 24
Step-by-step explanation: coz I juss know
Answer:x=24
Step-by-step explanation:hope this helps!
Which of the following inequalities is shown in the graph
Answer: D) y ≤ 5/2x + 5
The slope is 5/2 and the y-intercept is 5. The area shaded should be to the right of the line because it is less than or equal to.
Hope this helps!
The sum of two numbers is 91. The greater number is 7 more than the smaller number. Which equation can be used to solve for the smaller number?
x(x + 7) = 91
x(x − 7) = 91
x + (x + 7) = 91
x − (x + 7) = 91
Answer:
x+(x+7)=91
Step-by-step explanation:
Hope this helps :)
Answer: your answer for the smaller number is 38.5 and the larger number is 52.5.
Step-by-step explanation:
To make sure it's right, I just add the numbers together.
Your Problem:
91 ÷ 2 = 45.5
45.5 + 7 = 52.5
45.5 - 7 = 38.5
52.5 + 38.5 = 91
The scatterplot shows the number of hours that several students worked to sell tickets for a concert and the number of tickets that each student sold.
A graph titled Ticket Sales has number of hours on the x-axis, and number of tickets on the y-axis. Point (1, 60) is outside of the cluster.
Which data value would cause the interpretation of the data set to be overstated?
(1, 10)
(1, 60)
(9, 85)
(10, 80)
Answer:
B 1,60
Step-by-step explanation:
Answer:
B 1,60
Step-by-step explanation:
did the test