In a ABCD Rhombus, B angle minus A equals 20 degrees. What degrees are all the angles of the Rhombus if B-A=20°?

Ans:- To determine the percentage of toy sales that were helicopters, we needed to determine the total number of toys sold and then calculate the proportion of that totally made up by helicopters.

step-1

Answer:

The two numbers are 8 and -2

Step-by-step explanation:

a=b+10

2(a+b)=12

you then substitute the first equation's value for a into the second equation.

2(b+10+b)=12

2(2b+10)=12

4b+20=12

b+5=3

b=-2

Then you substitute this value for b back into the first equation.

a=b+10

a=-2+10

a=8

Answer:

Options 2, 3, 4, 5, 6

Step-by-step explanation:

We are looking for values of x that are not perfect squares.

Answer: (2,1) (0,-3)

(-5,2) (0,-1) (5,-4)

(0,-4) (2,-2)

(-1,0)

(-3,1) (-2,-4)

(0,3)

Step-by-step explanation:

In the above-given situation of Grace (C) No, the game is not fair because Grace has a higher probability of choosing a marble of another color.

To find whether the above-given situation is fair or not:

Therefore, in the above-given situation of Grace (C) No, the game is not fair because Grace has a higher probability of choosing a marble of another color.

Know more about probability here:

https://brainly.com/question/24756209

#SPJ4

The correct question is given below:

A jar has 10 red marbles, 6 purple marbles, and 4 turquoise marbles. Grace wins if she selects a turquoise marble from the jar. Is this game fair? Why or why not?

(A) Yes, the game is fair because Grace has equal probabilities of choosing a marble of either color.

(B) Yes, the game is fair because Grace has equal probabilities of winning and losing.

(C) No, the game is not fair because Grace has a higher probability of choosing a marble of another color.

(D) No, the game is not fair because Grace has equal probabilities of winning and losing

the solution for the initial value problem is: u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t) where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

The given partial differential equation is:

au(x, t) = 4 * (d²u(x, t) / dt²) / (dx²)

a) BCs (Boundary Conditions):

We have u(0, t) = 0 and u(π, t) = 0.

IC (Initial Condition):

We have u(x, 0) = x.

To solve this initial value problem, we need to find a function f(x) that satisfies the given boundary conditions and initial condition.

The solution for f(x) can be found using the method of separation of variables. Assuming u(x, t) = X(x) * T(t), we can rewrite the equation as:

X(x) * T'(t) = 4 * X''(x) * T(t) / a

Dividing both sides by X(x) * T(t) gives:

T'(t) / T(t) = 4 * X''(x) / (a * X(x))

Since the left side only depends on t and the right side only depends on x, both sides must be equal to a constant value, which we'll call -λ².

T'(t) / T(t) = -λ²

X''(x) / X(x) = -λ² * (a / 4)

Solving the first equation gives T(t) = C1 * exp(-λ² * t), where C1 is a constant.

Solving the second equation gives X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) + C3 * cos(sqrt(-λ² * (a / 4)) * x), where C2 and C3 are constants.

Now, applying the boundary conditions:

1) u(0, t) = 0:

Plugging in x = 0 into the solution X(x) gives C3 * cos(0) = 0, which implies C3 = 0.

2) u(π, t) = 0:

Plugging in x = π into the solution X(x) gives C2 * sin(sqrt(-λ² * (a / 4)) * π) = 0. To satisfy this condition, we need the sine term to be zero, which means sqrt(-λ² * (a / 4)) * π = n * π, where n is an integer. Solving for λ, we get λ = ± sqrt(-4n² / a), where n is a non-zero integer.

Now, let's find the expression for u(x, t) using the initial condition:

u(x, 0) = X(x) * T(0) = x

Plugging in t = 0 and X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) into the equation above, we get:

C2 * sin(sqrt(-λ² * (a / 4)) * x) * C1 = x

This implies C2 * C1 = 1, so we can choose C1 = 1 and C2 = 1.

Therefore, the solution for the initial value problem is:

u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t)

where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

Note: Please double-check the provided equation and ensure the values of a and the given boundary conditions are correctly represented in the equation.

To know more about Equation related question visit:

https://brainly.com/question/29657983

#SPJ11

a) If w = I, then we can write w = 0 + I. This means that x = 0 and y = 1. Using the polar form of a complex number, we can write z = r cos theta + I r sin theta. Since x = 0 and y = 1, we can write z = r cos theta + I r sin theta = 0 + I. This means that r cos theta = 0 and r sin theta = 1. Since cos theta = 0, theta = pi/2. Therefore, z = r cos (pi/2) = I.

b) To prove that w = (x^3+2x+y^3+y) + I (x+2y+2)/ (x+2)^2+y^2, we can substitute the values of x and y from the equation w = x + I y into the equation and simplify.

w = (x^3+2x+y^3+y) + I (x+2y+2)/ (x+2)^2+y^2
= (x^3+2x+y^3+y) + I (x+2y+2)/ (x^2+4x+4+y^2)
= (x^3+2x+y^3+y) + I (x+2y+2)/ (x^2+4x+4+y^2)
= (x^3+2x+y^3+y) + I (x+2y+2)/ (x^2+4x+4+y^2)
= w

Therefore, the equation is true.

c) When Re(w) = 1, this means that the real part of w is equal to 1. Therefore, x^3+2x+y^3+y = 1. We can rearrange this equation to get y^3+y = 1-x^3-2x. Taking the derivative of both sides with respect to x, we get 3y^2 dy/dx + dy/dx = -3x^2-2. Solving for dy/dx, we get dy/dx = (-3x^2-2)/(3y^2+1). This is the gradient of the line l_1.

d) Given that arg(z) = arg(w) = pi/4, this means that the angle of both z and w is equal to pi/4. Using the polar form of a complex number, we can write z = r cos (pi/4) + I r sin (pi/4) and w = s cos (pi/4) + I s sin (pi/4). Since the angles are equal, this means that r cos (pi/4) = s cos (pi/4) and r sin (pi/4) = s sin (pi/4). Therefore, r = s and z = w.

Learn more bout complex number

brainly.com/question/20566728

#SPJ11

Answer:

34

Step-by-step explanation:

Because to find the diameter simply multiply the radius by 2

17 x 2 = 34

Hope this helps!

Answer:

C

Step-by-step explanation:

It is a function because it passes the vertical line test and Xs do not repeat, then count out the Y-values which are the range.

Answer: y=2/9x; x=22.5

Step-by-step explanation:

Float speed is 9 miles/2 hours, or (9/2) miles/hour (mph).

Distance,y = (Speed)*(Time, x)

y = (Speed)x

y = (9/2)x

If x = 5 hours,

y = (9/2)*5, or 22.5

y=2/9x; x=22.5

Step-by-step explanation:

rotate50 degrees [rjrrjrjjejeirjrjr

To find the z-score, you subtract the mean of the data set from the value you're interested in, and then divide the result by the standard deviation of the given data set.

The z-score is used to measure how many standard deviations a value is from the mean of a set of the given sample data set.

The resulting value is the z-score, which tells you how many standard deviations away from the mean the value is. This allows you to compare values from the same data set to see how unusual or typical the data set are.

To know more about z-score click on below link:

https://brainly.com/question/15016913#

#SPJ11

Answer:

Total weight = 1,500 tons

Step-by-step explanation:

Given:

l = 5 ft

b = 5 ft

h = 6 ft

One cubic foot weighed = 0.1 tons

Find:

Total weight

Computation:

Volume = lbh

Volume = (5)(5)(6)

Volume = 150 ft³

Total weight = Volume / 0.1

Total weight = 150 / 0.1

Total weight = 1,500 tons

The probability of drawing a jack, given that we are told it is a face card, is 1/3 or approximately 0.33.There are 12 face cards in a well-shuffled euchre deck, comprising of 4 jacks, 4 queens, and 4 kings. The probability of drawing a face card from the deck is 12/32, or 3/8.

Now, we are asked to find the probability of drawing a jack, given that we already know the card is a face card. This can be calculated using conditional probability, which is the probability of an event occurring given that another event has already occurred.

The probability of drawing a jack given that the card is a face card can be represented as P(Jack | Face card). Using Bayes' theorem, we can calculate this probability as follows:

P(Jack | Face card) = P(Face card | Jack) * P(Jack) / P(Face card)

Here, P(Face card | Jack) represents the probability of drawing a face card given that the card is a jack, which is 1. P(Jack) represents the probability of drawing a jack from the deck, which is 4/32 or 1/8.

We already know that P(Face card) is 3/8.Substituting these values into the formula, we get:

P(Jack | Face card) = (1 * 1/8) / (3/8) = 1/3.

For such more questions on Probability:

https://brainly.com/question/24756209

#SPJ11

Rays AB and BE are part of line BE.

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

Given that;

To find the rays which are part of line BE.

Here,, By figure, we have;

Rays AB and BE are part of line BE.

Thus, Rays AB and BE are part of line BE.

Learn more aboput the line segment visit:

https://brainly.com/question/280216

#SPJ5

Answer:

Step-by-step explanation:

17

Answer:

m = 4

Step-by-step explanation:

9/6=6/m

9m = 36

m = 4

Answer:

The diagram is omitted--please sketch it to confirm my answer.

Set your calculator to degree mode.

\( \tan( \alpha ) = \frac{110}{450} \)

\( \alpha = {tan}^{ - 1} \frac{11}{45} = 13.74 \: degrees\)

The angle of elevation is 13.74°.

It would take 23,532 gallons of water to fill the swimming pool.

To find the volume of the swimming pool, we multiply the length, width, and height together. The length of the pool is given as 150 feet, the width is 50 feet, and the height varies from 3 feet to 10 feet.

Since the pool has a straight grade, the shape of the pool can be considered as a trapezoidal prism. The formula for the volume of a trapezoidal prism is (1/2) × (base1 + base2) × height × length. In this case, the bases are the widths of the shallow end (3 feet) and the deep end (10 feet), and the height is the difference between the deep end and shallow end (10 feet - 3 feet = 7 feet).

Using the formula, we can calculate the volume of the pool as follows:

Volume = (1/2) × (3 feet + 10 feet) × 7 feet × 150 feet = 3150 cubic feet

To convert the volume from cubic feet to gallons, we use the conversion factor of 7.48 gallons per cubic foot:

Total gallons = 3150 cubic feet × 7.48 gallons/cubic foot = 23,532 gallons

Therefore, it would take 23,532 gallons of water to fill the swimming pool.

To learn more about trapezoidal prism : brainly.com/question/15301517

#SPJ11

The length of EF= 15 cm.

As, the question states that the triangles are similar; their ratios are also equal.

AC/DF = AB/DE - CB/EF

Plug in the values

12/10 = AB/DE = 18/EF

If we isolate EF,

EF = 180/12

EF= 15cm

Read more about geometry here:

https://brainly.com/question/19241268

#SPJ1

At point P (2, π/4, 2), vector A in Cartesian coordinates is A = <1, 2.5, 2>.

To express vector A in Cartesian coordinates, we can use the following conversions between cylindrical and Cartesian coordinates:

x = ρ * cos(θ)

y = ρ * sin(θ)

z = z

Given vector A = cos(θ) - ρ * sin(θ) + 2 * cos(θ) * sin(θ), we can substitute the corresponding expressions for ρ, θ, and z:

x = cos(θ) * cos(θ) - ρ * sin(θ) * sin(θ) + 2 * cos(θ) * sin(θ)

y = cos(θ) * sin(θ) + ρ * cos(θ) * sin(θ) + 2 * cos(θ) * sin(θ)

z = 2

Simplifying these expressions, we get:

x = cos^2(θ) + 2 * cos(θ) * sin(θ) - ρ * sin^2(θ)

y = cos(θ) * sin(θ) + ρ * cos(θ) * sin(θ) + 2 * cos(θ) * sin(θ)

z = 2

Now, we can evaluate vector A at point P (2, π/4, 2):

x = cos^2(π/4) + 2 * cos(π/4) * sin(π/4) - 2 * sin^2(π/4)

y = cos(π/4) * sin(π/4) + 2 * cos(π/4) * sin(π/4) + 2 * cos(π/4) * sin(π/4)

z = 2

Simplifying further, we have:

x = (1/2) + 1 - (1/2) = 1

y = (1/2) + 1 + 1 = 2.5

z = 2

For more questions like Coordinates click the link below:

brainly.com/question/22261383

#SPJ11

Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

Know more about fraction here:

https://brainly.com/question/10354322

#SPJ11

Answer:

25,000 - x(0.07)

Step-by-step explanation:

Have a great day!

Step-by-step explanation:

Using a calculator, if you typed in 7 divided by 8, you'd get 0.875. You could also express 7/8 as a mixed fraction: 0 7/8. If you look at the mixed fraction 0 7/8, you'll see that the numerator is the same as the remainder (7), the denominator is our original divisor (8), and the whole number is our final answer (0).

hope that help mark me brinilylist pls

Answer:

2x+20+3x+10 = 180 (int. angles, parallel)

5x+30 = 180

5x=150

x=30

Answer:

x = 3

Step-by-step explanation:

2x - y = 4

y = -2x + 8

-y = -2x + 4

y = -2x + 8

0 = -4x + 12

-4x = -12

x = 3

Answer:

2 2/3 hrs

Step-by-step explanation:

Rearrange the equation d = rt to solve for t. t = d/r. D represents distance, r represents rate, and t represents time. You need to divide 2000/750 to get 2.66667 hrs. Round that to 2 and 2/3 hrs.

Answer:

from my understanding of math, yes

Step-by-step explanation:

Answer:

$29.67

Step-by-step explanation:

multiply $326 by 9.1% or .091

Answer:

Try B

Step-by-step explanation: