Select all the conditions for which it is possible to construct a triangle. A.A triangle with angle measures , , and B.A triangle with side lengths 3 cm, 7 cm, and 11 cm C.A triangle with side lengths 6 in, 13 in, and 12 in D.A triangle with side lengths 8 cm and 5 cm and a angle E.A triangle with angle measures and , and a 9 cm side length

Answers

Answer 1
Answer:

Answer:

As

Step-by-step explanation:

Aaa


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A 0.143-Henry Inductor is connected in series with a variable resistor to a 208-volt 400-cycle source. For what value of capacitance will the current be (a) 1.04 ampere lagging and (b) 1.04 ampere leading?

Answers

Answer:

A.)359.2, B.)2.5 uf

Step-by-step explanation:

E / I = R

208 / 1.04 = 200 ohms

2*pi*f*L = Xl

6.28*400*.143 = 359.2 ohm

1 / (2*pi*f*Xc) = c

1 /(6.28*400*159.2) = 2.5 uf

Final answer:

The question asked for the value of capacitance that causes the current in an AC circuit to lag or lead. This situation occurs at resonance when the reactance of the inductor equals that of the capacitor. The calculation of capacitance utilizes the resonance formula, and both given scenarios (a and b) were calculated using provided circuit properties.

Explanation:

The subject of this question involves the principles of alternating current (AC) circuits which includes concepts of inductance, capacitance, and impedance. Particularly, the question is asking to find the value of the capacitor (capacitance) that will result in a current that is (a) lagging or (b) leading in an AC circuit with a given inductor connected in series with a resistor and a power source.

Resonance in AC circuits

When the reactance of the inductor, L, equals the reactance of the capacitor, C, the circuit attains a state called resonance. At resonance, the total impedance of the circuit is at its minimum, hence, the current is at its maximum. This happens when the current leads or lags the voltage.

Solving the problem

To calculate the capacitance value, we can utilize the formula for resonance which is given by:

f = 1/(2π√(LC))

Solving for C, we get:

C = 1/(4π²f²L)

Substituting the given values (f = 400 Hz, L = 0.143 H) Into the formula, we calculate for C for both (a) and (b) scenarios.

Learn more about AC circuits here:

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Create an equation to solve for x then solve for x.

Answers

Answer:

Step-by-step explanation:

In parallelogram adjacent angles are supplementary

∠U +∠V = 180

9x + 15 + 6x + 15 = 180

Combine like terms

9x + 6x + 15 + 15 = 180

          15x + 30 = 180

Subtract 30 from both sides

          15x = 180 - 30

         15x = 150

Divide both sides by 15

            x = 150/15

x = 10

∠U = 9x + 15

      = 9*10 + 15

      = 90 + 15

U = 105

∠V = 6x + 15

     = 6*10 + 15

     = 60 + 15

V = 75

Answer:

Equation: 2(9x + 15 + 6x + 15) = 360

x = 10°

∠U = 105°

∠V = 75°

Step-by-step explanation:

Hello!

The sum of angles in a parallelogram is 360°. The oppositeangles of a parallelogram are congruent.

Part A

Equation: 2(9x + 15 + 6x + 15) = 360

Solve

  • 2(9x + 15 + 6x + 15) = 360
  • 9x + 15 + 6x + 15 = 180
  • 15x + 30 = 180
  • 15x = 150
  • x = 10

The value of x is 10°.

Part B

To find the measures of each angle, simply plug in 10° for x in each equation.

∠U

  • 9x + 15
  • 9(10) + 15
  • 90 + 15
  • 105

Angle U is 105°.

∠V

  • 6x + 15
  • 6(10) + 15
  • 60+15
  • 75

Angle V is 75°.

PLEASE HELP !!!!! 1) Find the equation of the trend line (line of best fit). SHOW WORK

2) Predict the number of tips that would be collected if 100 costumers were served at the restaurant on a given day. Explain your reasoning.

3)EXPLAIN how to use the regression calculator to make a reasonable prediction given a data table

(I don't know how to attach more than 1 picture by the way )​​

Answers

Answer:

1) y = 1.8741176487x + 3.655964863

2) About $191 using the equation, about $180 or more using the data you are given.

3) I can use the regression calculator by using the largest number of customers you have in the data set and lowest number of customers and compare them to see if the numbers are in ascending or descending order.

Let be a continuous random variable that follows a normal distribution with a mean of and a standard deviation of . Find the value of so that the area under the normal curve to the right of is . Round your answer to two decimal places.

Answers

Complete Question

Let x be a continuous random variable that follows a normal distribution with a mean of 550 and a standard deviation of 75.

a

Find the value of x so that the area under the normal curve to the left of x is .0250.

b

Find the value of x so that the area under the normal curve to the right ot x is .9345.

Answer:

a

  x  = 403

b

 x  = 436.75

Step-by-step explanation:

From the question we are told that

   The  mean is  \mu = 550

   The standard deviation is  \sigma = 75

Generally the value of x so that the area under the normal curve to the left of x is 0.0250 is mathematically represented as

     P( X <  x) = P( (x - \mu  )/( \sigma)  <  (x - 550 )/(75 ) ) = 0.0250

(X -\mu)/(\sigma )  =  Z (The  \ standardized \  value\  of  \ X )

     P( X <  x) = P( Z < z ) = 0.0250

Generally the critical value of  0.0250 to the left  is  

       z = -1.96

=>    (x- 550 )/(75) = -1.96

=>    x  = [-1.96 * 75 ]+ 550      

=>    x  = 403

Generally  the value of x so that the area under the normal curve to the right of x is 0.9345 is mathematically represented as

        P( X <  x) = P( (x - \mu  )/( \sigma)  <  (x - 550 )/(75 ) ) = 0.9345

(X -\mu)/(\sigma )  =  Z (The  \ standardized \  value\  of  \ X )

     P( X <  x) = P( Z < z ) = 0.9345

Generally the critical value of  0.9345 to the right  is  

       z = -1.51

=>    (x- 550 )/(75) = -1.51

=>    x  = [-1.51 * 75 ]+ 550      

=>    x  = 436.75

   

     

In ΔUVW, the measure of ∠W=90°, VW = 29 feet, and UV = 69 feet. Find the measure of ∠U to the nearest degree.

Answers

Answer:

25

Step-by-step explanation:

Answer:

the answer is 25

Step-by-step explanation:

I have a 1.5% chance of winning when spinning a roulette. Approximately how many times would I have to spin the roulette to win?

Answers

Answer:

66-67 times

Step-by-step explanation:

i would go with 67

you just divide 1.5 by a 100