In the circle below, suppose m VUX = 228° and mZUVW=121°. Find the following.
U
X
(a) m/VUX = °
(b) m LUXW =
0.

Answer:

huh? no they cant both be 30 at the same time is cindy is 2 years older than marie....

Step-by-step explanation:

Answer:

36.9

Step-by-step explanation:

Use the formula \(a^2 + b^2 = c^2\) to find the length of LK.

40 is the hypothenuse because it is directly across from the right angle.

\(a^2 + 24^2 = 40^2\)

\(a^2\) = 32

Tan is opposite over hypothenuse.

Tan M = 36.9

Answer:

Step-by-step explanation:

You want the missing segment lengths in the kite shown, where half-diagonals are 3 and 6, and one side length is 5.

The diagonals of a kite cross at right angles, so each of the triangles shown is a right triangle. The figure has left-right symmetry about the vertical axis, so x=z.

We recognize the top triangles as being 3-4-5 right triangles, so the missing side length is y = 4.

These lengths are the hypotenuse of a right triangle with legs 3 and 6. The Pythagorean theorem tells us they are ...

  x² = 3² +6²

  x² = 9 +36 = 45

  x = √(45) = √(9·5) = 3√5

The lengths x and z are ...

  x = z = 3√5

__

Additional comment

In case you have never heard of a 3-4-5 right triangle, you can find y from the Pythagorean relation:

  5² = 3² +y²

  y² = 25 -9 = 16

  y = √16 = 4

The {3, 4, 5} Pythagorean triple is one of several in common use in algebra, trig, and geometry problems. Others include {5, 12, 13}, {7, 24, 25}, {8, 15, 17}.

Answer:

45.29 units.

ANSWER:

$22

STEP-BY-STEP EXPLANATION:

To determine the value of the fare we use it through the graph just like this:

Therefore, the correct option is $22

Replace h with 34:

p(h) = 21(34)

Multiply :

21x 34 = 714

Answer: $714

The probability of the intersection of events A and B, P(A ∩ B), is 0.10.

To find the probability of the intersection of events A and B, P(A ∩ B), we can use the formula:

P(A ∩ B) = P(A) + P(B) - P(A ∪ B)

Given:

P(A) = 0.25

P(B) = 0.35

P(A ∪ B) = 0.5

Substituting the values into the formula:

P(A ∩ B) = 0.25 + 0.35 - 0.5

P(A ∩ B) = 0.10

Hence, the above equation is also correct. The value of P(A ∪ B) is 0.5. The value of P(A ∩ B) is 0.1.

Therefore, the probability of the intersection of events A and B, P(A ∩ B), is 0.10.

To know more about probability refer here:

https://brainly.com/question/31828911#

#SPJ11

The cost of materials for the cheapest container is $184.67.

Suppose the width is x and it is given that the length of its base is twice the width, so the length of the base is 2x.

The base area is 2x².

Since the volume is $12m³

The height has to be 12/ 2x² = 6/ x²

The cost of making such a container is.

cost of base = 2x² × 10

= 20x²

The cost of sides =( 2 × 2x 6/x² + 2 × x × 6 / x²) 6

= (24/x + 12/x )6

= 36/x × 6

216/x

The overall cost is hence the sum of the base and the sides = f(x)

= 20x² + 216/x

To get the minimum,

df(x) / dx = 20x² + 216/x = 0

= 40x - 216/x² = 0

x³ = 216/40

= 54/10

= 27/5

x = 3/∛5

= 3/ 1.70

= 1.76

f(x) = 20(1.76)² + 216/ 1.76

= 61.952 + 122.72

= 184.67

Therefore we get the cost of the materials to be $184.67.

To know more about the function refer to the link given below:

https://brainly.com/question/11624077

#SPJ4

A relation between sets is referred to as a function when there is exactly one output for each input.

To write the equation y = ax + b in function notation, substitute f(x) for y

The only true statement is the last one. A function assigns exactly one output value to each input value. The domain is the set of all input, or x-values. The range is the set of all output, or y-values.

y=ax+b can be written in function notation by replacing y with f(x).

To know more about  Function , visit :

ttps://brainly.com/question/17810174

#SPJ4

Answer:

y = 2x - 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 2 ← is in slope- intercept form

with slope m = 2

• Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

to find c substitute (3, - 1 ) into the partial equation

- 1 = 2(3) + c = 6 + c ( subtract 6 from both sides )

- 7 = c

y = 2x - 7 ← equation of parallel line

Step-by-step explanation:

81 x 24 + 19 x 24 - 2400

since 81 and 19 are multiplying the same number, so we can do

(81+19) x 24 - 2400

100 x 24 - 2400

2400 - 2400

0

Answer:

b = 51

Step-by-step explanation:

b/27 = 17/9

27/9 = 3

We need to multiply the right side by 3/3 to get to the left

17/9 * 3/3

51/27

Answer:

Step-by-step explanation:

1 )  2 + 7t                        [ there are no like terms , so no further simplifying ]

2) 6r + ( - 16 r )

   =  6 r - 16 r                 [ both are like terms ]

   = - 10 r

3) (3x + 2 ) + ( 2x - 4 )

   = 3x + 2 + 2x - 4

   = 3x + 2x - 4 + 2               [ arranging like terms together ]

   = 5x - 2

4) (8 n² - 3 n + 6 ) + ( n - 2 )

   = 8n² - 3n  + 6 + n - 2

   = 8n² - 3n + n + 6 - 2             [ bringing like terms together ]

   = 8n² - 2n + 4

Answer:

1.) 2 + 7 t

2.) - 10 r

3.) 5 x - 2

4.) 8 n² - 2 n + 4

Step-by-step explanation:

1.) 2 + 7 t

No like terms, so no further simplifying.

2.) 6 r + ( - 16 r )

6 r - 16 r. ... ( combine like terms)

- 10 r

3.) ( 3 x + 2 ) + ( 2 x - 4 )

= 3 x + 2 + 2 x - 4

combine like terms

= 3 x + 2 x - 4 + 2

= 5 x - 2

4.) ( 8 n ² - 3 n + 6 ) + ( n - 2 )

= 8 n² - 3 n + 6 + n - 2

combine like terms

= 8n² - 3 n + n + 6 - 2

= 8 n² - 2 n + 4.

Answer:

Q1: equal

Q2: smaller

Q3:equal

Q4 smaller

Q5: bigger

Step-by-step explanation:

The y-intercept of the given exponential function would be represents the initial value of the investment is $500 which is the correct option (B).

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

The given exponential function f(x) = 500(1.03)ˣ

Here x would be represented growth of the savings plan per year

To determine the y-intercept of the function

We have to substitute the value of x = 0 in the given function,

⇒ f(x) = 500(1.03)⁰

⇒ f(x) = 500(1)

⇒ f(x) = 500

Therefore, the y-intercept of the given exponential function would be represents the initial value of the investment is $500.

Learn more about exponential function here:

brainly.com/question/11487261

#SPJ1

To solve the equation we first squared both sides of it, that is:

Now we can use the general formula for quadratic equations, then:

Now that we found two option for x, we have to check which of them is really a solution for the original equation (we have to do this since we squared the original equation to get rid of the root), to do this we plug the values we found to see if the eqaution holds.

If x=1:

hence x=1 is a solution for the original equation.

If x=-2:

since this is not true, x=-2 is not a solution for the original equation.

Therefore, the solution for the equation is x=1.

Answer:

I would say the last one

Step-by-step explanation:

Answer:

42/45

Step-by-step explanation:

Answer:

312

Step-by-step explanation:

Since the ratio is 7:8, mark it as 7x:8x.

Now, they said that the first length is 273. Solve the equation:

7x=273

x=39

Substitute it into 8x. 39*8=312. That's your answer.

PLS MARK BRANILIEST!!!

The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

To learn more about the factors visit the link :

https://brainly.com/question/24182713

#SPJ9

Answer:

3y-30

Step-by-step explanation:

Answer:

There are 1.91 cups in a pound

Answer:

sorry if im wrong

Step-by-step explanation:

no

no

yes

yes

The correct statement is:

The t-statistic or t-ratio is used to test the statistical significance of each β_i in a regression model.

The t-statistic is calculated by dividing the difference between the sample mean and the hypothesized population mean by the standard error of the sample mean.

The formula for the t-statistic is as follows:

t = (sample mean - hypothesized population mean) / (standard error of the sample mean)

The t-statistic or t-ratio is used to test the statistical significance of each β_i (regression coefficient) in a regression model. It measures the ratio of the estimated coefficient to its standard error and is used to determine if the coefficient is significantly different from zero.

Learn more about  t-statistic or t-ratio:

https://brainly.com/question/30466889

#SPJ11

The length of one part of BC is approximately x = 4 units.

What is the median of the triangle?

In a triangle, a median is a line segment that joins a vertex to the midpoint of the opposite side. Each triangle has three medians, and they all intersect at a single point called the centroid.

Let ABC be the given triangle with AB = 5, AC = 7, and BC = 8. Let D be the midpoint of BC so that AD is a median of triangle ABC.

Since AD is a median, it divides BC into two equal parts. Let x be the length of one part of BC, so the other part has a length 8 - x.

Then, we have:

x + 8 - x = 8

Simplifying, we get:

8 = 8

This equation is true, so our assumption that x is one part of BC is correct.

Now, we can use the Pythagorean theorem to find x. Let E be the foot of the altitude from A to BC, so that AE is perpendicular to BC. Then, we have:

BE² + AE² = AB² (by the Pythagorean theorem)

CE² + AE² = AC² (by the Pythagorean theorem)

Since D is the midpoint of BC, we have:

BE = CE = BC/2 = 8/2 = 4

Therefore, the length of one part of BC is approximately x = 4 units.

To learn more about the median of a triangle visit:

https://brainly.com/question/2288141

#SPJ1

The probability that a person arriving to use the machine will find it idle is 1/3 or 0.3333. Option a is correct.

Use the concept of an M/M/1 queue to calculate the probability, which models a single-server queue with exponential interarrival times and exponential service times.

In this case, the interarrival time follows an exponential distribution with a rate parameter of λ = 5 persons per hour (or 1/12 persons per minute). The service time (copying time) also follows an exponential distribution with a rate parameter of μ = 1/8 persons per minute (since each person uses the machine for an average of 8 minutes).

In an M/M/1 queue, the probability that the system is idle (no person is being served) can be calculated as:

P_idle = ρ⁰ × (1 - ρ), where ρ is the traffic intensity, defined as the ratio of the arrival rate to the service rate. In this case, ρ = λ/μ.

Plugging in the values, we have:

ρ = (1/12) / (1/8) = 2/3

P_idle = (2/3)⁰ × (1 - 2/3) = 1/3

Therefore, the probability is 1/3 or approximately 0.3333.

Thus, option (A) is the correct answer.

Learn more about probability https://brainly.com/question/31828911

#SPJ11

The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

To know more about marginal utility related question visit:

https://brainly.com/question/30841513

#SPJ11

Answer:

36

Step-by-step explanation:

Answer: A. 27

Step-by-step explanation:

3/11 = .27272727...

when you divide by 11 you can think of the numerator being multiplied by 9

9 x 3 = 27 so 3/11 is .27 repeating

example: 2 x 9 = 18 and 2/11 is .18 repeating

Answer:

a 27

Step-by-step explanation: