Find the value of the variables for each set or similar figures

Answer:

Volume=2/6cu.ft

Step-by-step explanation:

.........................

option B

Answer:

b is the answer

Step-by-step explanation:

i checked if inputs repeated in all the string of answers

Answer:

b

Step-by-step explanation:

Answer:

27cm

Step-by-step explanation:

so you are dumb for not nowing it

Answer:

[tex]g^{-1} (7)=5[/tex]

Step-by-step explanation:

We are asked to find [tex]g^{-1} (7)[/tex].

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair [tex](a,b)[/tex] of function [tex]g[/tex], then the corresponding ordered pair of [tex]g^{-1}[/tex] would be [tex](b,a)[/tex].

As we are asked to find [tex](7,b)[/tex] of  [tex]g^{-1}[/tex], we can instead find [tex](b,7)[/tex] of [tex]g[/tex].

This means that we are looking for where [tex]g(b)=7[/tex].

From the graph, we can see that for this to be true, [tex]b=5[/tex]

This means that [tex]g^{-1} (7)=5[/tex]

The value of g^-1(7) is 5.

What is the value of g^-1(7)?

A function f from a set X to a set Y is said to be invertible if for every y in Y and x in X, there exists a function g from Y to X such that f(g(y)) = y and g(f(x)) = x. function is invertible only if each input has a unique output. That is, each output is paired with exactly one input. That way, when the mapping is reversed, it will still be a function.

Given that:

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair (a, b) of function g , then the corresponding ordered pair of g^-1 would be (b, a).

As we are asked to find (7,b)  of  g^-1, we can instead find (b, 7) of g .

This means that we are looking for where  g(b)=7.

From the graph, we can see that for this to be true, b=5.

So, the value of g^-1(7) is 5.

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Answer:

1. (5·sin(A) - 3·cos(A)/(4·cos(A) + 5·sin(A))  = 1/8

2. θ = 30°

3. tan(θ) - cot(θ) = (2·sin²(θ) -1)/((cos(θ)×sin(θ))

from tan(θ) - 1/tan(θ) = sin(θ)/cos(θ) - cos(θ)/sin(θ) and sin²(θ) +  cos²(θ) = 1

4. tan10°·tan15°·tan75°·tan80°= 1 from;

sin(α)·sin(β) = 1/2[cos(α - β) - cos(α + β)]

cos(α)·cos(β) = 1/2[cos(α - β) + cos(α + β)]

5. x² + y² = a² + b² where x = a·cosθ - b·sinθ and y = a·sinθ + b·cosθ from;

cos²θ + sin²θ = 1

Step-by-step explanation:

1. Here we have 5·tan(A) = 5·sin(A)/cos(A) = 4

∴ 5·sin(A) = 4·cos(A)

Hence to find the value of (5·sin(A) - 3·cos(A)/(4·cos(A) + 5·sin(A)) we have;

Substituting the value for 5·sin(A) = 4·cos(A) into the above equation in both the numerator and denominator we have;

(4·cos(A) - 3·cos(A)/(4·cos(A) + 4·cos(A)) = cos(A)/(8·cos(A)) = 1/8

Therefore, (5·sin(A) - 3·cos(A)/(4·cos(A) + 5·sin(A)) = 1/8

2. For the equation as follows, we have

[tex]\frac{sin \theta}{1 + cos \theta} + \frac{1 + cos \theta}{sin \theta} = 4[/tex] this gives

[tex]\frac{2sin (\theta/2) cos (\theta/2) }{2 cos^2 (\theta/2)} + \frac{2 cos^2 (\theta/2)}{2sin (\theta/2) cos (\theta/2) } = 4[/tex]

[tex]tan\frac{\theta}{2} + \frac{1}{tan\frac{\theta}{2} } = 4[/tex]

[tex]tan^2\frac{\theta}{2} + 1 = 4\times tan\frac{\theta}{2}[/tex]

[tex]tan^2\frac{\theta}{2} - 4\cdot tan\frac{\theta}{2} + 1 = 0[/tex]

We place;

[tex]tan\frac{\theta}{2} = x[/tex]

∴ x² - 4·x + 1 = 0

Factorizing we have

(x - (2 - √3))·(x - (2 + √3))

Therefore, tan(θ/2) = (2 - √3) or (2 + √3)

Solving, we have;

θ/2 = tan⁻¹(2 - √3) or tan⁻¹(2 + √3)

Which gives, θ/2 = 15° or 75°

Hence, θ = 30° or 150°

Since 0° < θ < 90°, therefore, θ = 30°

3. We have tan(θ) - cot(θ) = tan(θ) - 1/tan(θ)

Hence, tan(θ) - 1/tan(θ) = sin(θ)/cos(θ) - cos(θ)/sin(θ)

∴  tan(θ) - 1/tan(θ) = (sin²(θ) -  cos²(θ))/(cos(θ)×sin(θ))...........(1)

From sin²(θ) +  cos²(θ) = 1, we have;

cos²(θ) = 1 - sin²(θ), substituting the value of sin²(θ) in the equation (1) above, we have;

(sin²(θ) -  (1 - sin²(θ)))/(cos(θ)×sin(θ)) = (2·sin²(θ) -1)/((cos(θ)×sin(θ))

Therefore;

tan(θ) - cot(θ) = (2·sin²(θ) -1)/((cos(θ)×sin(θ))

4. tan10°·tan15°·tan75°·tan80°= 1

Here we have since;

sin(α)·sin(β) = 1/2[cos(α - β) - cos(α + β)]

cos(α)·cos(β) = 1/2[cos(α - β) + cos(α + β)]

Then;

tan 10°·tan15°·tan75°·tan80° = tan 10°·tan80°·tan15°·tan75°

tan 10°·tan80°·tan15°·tan75° = [tex]\frac{sin(10^{\circ})}{cos(10^{\circ})} \times \frac{sin(80^{\circ})}{cos(80^{\circ})} \times \frac{sin(15^{\circ})}{cos(15^{\circ})} \times \frac{sin(75^{\circ})}{cos(75^{\circ})}[/tex]

Which gives;

[tex]\frac{sin(10^{\circ}) \cdot sin(80^{\circ})}{cos(10^{\circ})\cdot cos(80^{\circ})} \times \frac{sin(15^{\circ}) \cdot sin(75^{\circ})}{cos(15^{\circ})\cdot cos(75^{\circ})}[/tex]

[tex]=\frac{1/2[cos(80 - 10) - cos(80 + 10)]}{1/2[cos(80 - 10) + cos(80 + 10)]} \times \frac{1/2[cos(75 - 15) - cos(75 + 15)]}{1/2[cos(75 - 15) + cos(75 + 15)]}[/tex]

[tex]=\frac{1/2[cos(70) - cos(90)]}{1/2[cos(70) + cos(90)]} \times \frac{1/2[cos(60) - cos(90)]}{1/2[cos(60) + cos(90)]}[/tex]

[tex]=\frac{[cos(70)]}{[cos(70) ]} \times \frac{[cos(60)]}{[cos(60) ]} =1[/tex]

5. If x = a·cosθ - b·sinθ and y = a·sinθ + b·cosθ

∴ x² + y² = (a·cosθ - b·sinθ)² + (a·sinθ + b·cosθ)²

= a²·cos²θ - 2·a·cosθ·b·sinθ +b²·sin²θ + a²·sin²θ + 2·a·sinθ·b·cosθ + b²·cos²θ

= a²·cos²θ + b²·sin²θ + a²·sin²θ + b²·cos²θ

= a²·cos²θ + b²·cos²θ + b²·sin²θ + a²·sin²θ

= (a² + b²)·cos²θ + (a² + b²)·sin²θ

= (a² + b²)·(cos²θ + sin²θ) since cos²θ + sin²θ = 1, we have

= (a² + b²)×1 = a² + b²

Answer:

x = [tex]-\frac{1}{21}[/tex]

Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 13 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

35x - 13x = x - 1

→ Simplify

22x = x - 1

→ Minus x from both sides to isolate -1

21x = -1

→ Divide both sides by 21 to isolate x

x = [tex]-\frac{1}{21}[/tex]

Answer:

k=13

Step-by-step explanation:

substitute x and y

4+9=k

k=13

Answer:

13

Step-by-step explanation:

Plug in the given x and y values: 2(2) + 3 (3) = k

Then multiply 4 + 9 = k

Then add 13 = k

Answer:

128

Step-by-step explanation:

you do 16 x 16 (256) and then divide it by 2

Answer:

No, Justin isn't correct

Step-by-step explanation:

Because Justin added everything even the money he spent, and when he spent the money meaning subtracting them, he should get $21.46.

($25.67+$37.85)-($19.99+$22.07)=$21.46

↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑

Money earned      Money spend     Money left

Answer:

Cosine is Adj/Hyp

a simple trick i use when doing these kind of problems is first finding the sides. If you only know the Hypotenuse then you multiply that with the cos(x) or whatever angle it is. If you only know Adjacent then you divide the adjacent with the Cos(x) and you get the answer

Step-by-step explanation:

Answer:

$1,773.34

Step-by-step explanation:

divide the yearly amount by 12 (number of months in a year)

The square root of 0.36

= [tex]\sqrt{0.36}[/tex]  = 0.6

ans: 0.36

Happy to help!

Answer: [tex]14w+28y-7[/tex]

Step-by-step explanation:

multiply everything by -7

Answer:

Step-by-step explanation:

14w+28y-7

Answer:

287.64

Step-by-step explanation:

2πrh is the formula you use for the lateral surface area.

to get radius, we know its half of the diameter so 4.2.

plug them in and you get your answer :)

The volume of the square pyramid having base edge and height as [tex]13[/tex] [tex]cm[/tex] and [tex]9[/tex] [tex]cm[/tex] respectively is [tex]507[/tex] [tex]cm^{3}[/tex].

Volume [tex]=\frac{1}{3}[/tex] × (base area) × (height)

First, find the area of the square base

Given, the edge of the square base  [tex]=13 cm[/tex]

Then, the area of the square base [tex]=13^{2}=169cm^{2}[/tex]

Given, the height of the square pyramid [tex]=9cm[/tex]

Now, apply the volume formulae

Volume [tex]=\frac{1}{3}[/tex] × [tex]169[/tex] × [tex]9=507cm^{3}[/tex]

Hence, the volume of the square pyramid is [tex]507cm^{3}[/tex].

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Answer:

x^2-10x+21

Step-by-step explanation:

Answer:

The answer is x^2-10x21

Answer:

y = 2x + 3  → Gradient / slope = 2 → Y - intercept = 3

y = -3x + 3 → Gradient / slope = -3 → Y - intercept = 3

Step-by-step explanation:

y = mx + c

This is the standard way an equation of a line is written. The 'm' of the line is the slope/gradient and the 'c' is the y - intercept. You can find the x-intercept by making y = 0. When the questions asks you to find the gradient you should never put 'x' after it only the number so

y = 2x + 3

Gradient / slope = 2

Y - intercept = 3

y = -3x + 3

Gradient / slope = -3

Y - intercept = 3

Answer:

elon musk

Step-by-step explanation:

elon sends out random, uncalled for tweets, which mess with the stock value.

For example, when the stock was very high, he tweeted,"Tesla stock too high"

Answer:

12,690 people are expected to vote for Mr Salva

Step-by-step explanation:

Here, we want to know the number of people that is expected to vote for a particular candidate in an election given that 54% of people surveyed had said they would vote for the candidate.

Now to calculate the number of people expected to vote for Mr Salva, what we need to do is to find the number out of 23,000 that actually represents a percentage of 54%

To do this, we find 54% of 23,500

mathematically, we have;

54/100 * 23,500

= 12,690

Answer:

5

Step-by-step explanation:

2 = 2????

Thats what Im getting it from.

Since x is 2 then it would still be 2=2 in simple term.

Answer:

Options C and D.

Step-by-step explanation:

Choice (A).

-19x - 18 = -19x + 18

Here we are equating two equations,

y = -19x - 18

y = -19x + 18

Since slopes of these equations are same as (-19), both are parallel.

Therefore, there is no solution for the given system of equations.

Choice (B)

-19x + 18 = -19x + 18

Equations are,

y = -19x + 18

y = -19x + 18

Since both the equations represent the same line, so the system of equations will have infinite solutions.

Choice (C)

19x - 18 = -19x + 18

System of equations is,

y = 19x - 18

y = -19x + 18

Slopes of both the lines are different (19 and -19)

Therefore, the system of equations will have exactly one solution.

Choice (D)

19x + 18 = -19x + 18

System of equations is,

y = 19x + 18

y = -19x + 18

This system of equations have the different slopes.

Therefore, the system of equations will have exactly one solution.

Answer:

It got B and D

Step-by-step explanation:

....

......

sorry if it’s wrong

actauloy edit there is two of them and one of them is this answer and one of them is another one so take your luck and make sure to match up the numbers

Answer:

baseball my guy

Step-by-step explanation:QUICK MATHS

Answer: baseball is liked less

Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)

Answer:

40 mph

Step-by-step explanation:

To find the maximum speed at which the car can travel, as the distance it requires to stop is 168 feet, we just need to use the value of d = 168 in the equation, and then find the value of s:

168 = 0.05s^2 + 2.2s

0.05s^2 + 2.2s - 168 = 0

Using Bhaskara's formula: we have:

Delta = 2.2^2 + 4*0.05*168 = 38.44

sqrt(Delta) = 6.2

s1 = (-2.2 + 6.2)/0.1 = 40 mph

s2 = (-2.2 - 6.2)/0.1 = -84 mph (a negative value does not make sense as 's' is the speed of the car)

So the maximum speed of the car is 40 mph

Answer:

b = 2a + c

Step-by-step explanation:

Given

a = [tex]\frac{1}{2}[/tex] (b - c)

Multiply both sides by 2 to clear the fraction

2a = b - c ( add c to both sides )

2a + c = b

Answer:

1. cost of each car

2. cost of each SUV

3. (12,18)

4. $30

5. $132

Step-by-step explanation:

In the system of equations,x represents the cost of each car and y represents the cost of each SUV

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are (12,18)

The total cost of 1 car and 1 SUV is $30

The total earnings for hour 3 are $132

Answer:

Step-by-step explanation:

Answer:

-7/2

Step-by-step explanation:

Answer:

Roberto did 4 or 5 hours

Step-by-step explanation:

r- Roberto

e- Edward

j- Jim

j = 1 hr. paddled

r= 2e for the number of hours, r, robert paddled.

r+ e+ j < 10 Substitute in for r and j.

2e+ e+ 1 < 10

3e <9

e< 3

r = 2*e

r < 2*3  I Changed it to less than, so because edward has to do less than 3 hours, so now im finding the number of hours that he has to be below.

r<6

Roberto did less than 6 hours.  

Edward did less than 3 hours.

Jim did 1 hour.

Possible Combination of hours that satisfies all the criteria and is below 10 total hours:

Jim Does 1 hour, Edward does 2 hours, and Roberto does 4  hours.

Another Possibility is

Jim does 1 hours, Edward does 2.5 hours and Roberto does 5 hours.

(Edward has to do 2.5 hours for Roberto to do 5 hours, because it states that Roberto does twice as many hours as Edward, it does not state that he did more than twice as many hours so it is necessary for Edward to do 2.5 hours for Roberto to do 5.)

Answer:

.44

Step-by-step explanation:

Follow the path for each red

Add the  probabilities for each one

Bag 1 = .35*.6

Bag 2 = .45*.2

Bag 3 = .2*.7

P(red) = .35*.6 + .45* .2 + .2 *.7

          = .44

Answer:

.44

Bag 1= .35 .6

Bag 2= .45.2

Bag 3= .2 .7

P(red)= .35 .6 + .45 .2 + .2 .7

Step-by-step explanation:

Answer:

Jackson

0.8×5=4

Xavier

0.8×5=0.4

If Xavier said to Jackson that his answer of 4 can't be right.

Jackson needs a decimal point because a product always have the same answer.

Then,

Xavier is right with his sayings but wrong with the answer of 0.4

The correct answer is 4.0

The decimal point should be counted from the back not from the front as Xavier did