A pair of angles whose sum is 90 degrees are called _____ angles.

Answers

Answer 1
Answer:

Answer:

complimentary



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Rearrange the formula a = θr22 for θ.

Answers

a= theta r 22Theta = a/ 22r

Answer:

θ = 2A/r^2

I completed this question on USA Test Prep and got this answer

A tram moved 9 meters per second for 27 seconds. What was the total change in the trams elevation?

Answers

Answer:

243

Step-by-step explanation:

first of all you got to multiply 9 by 27 which gives you 243

Factor completely 10x5 + 4x4 + 8x3.Prime
2(5x5 + 2x4 + 4x3)
2x3(5x2 + 2x + 4)
2x(5x4 + 2x3 + 4x2)

Answers

Answer:

The second option is correct.

Step-by-step explanation:

The given expression is

10x^5+4x^4+8x^3

The factors of first term is

10x^5=2* 5* x* x* x* x* x

The factors of second term is

4x^4=2* 2* x* x* x* x

The factors of third term is

8x^3=2* 2* 2* x* x* x

The common factors are 2,x,x and x, therefore the greatest common factor is 2x^3.

2x^3(5x^2+2x^2+4)

Therefore the second option is correct.

10x^5 + 4x^4 + 8x^3
2x^3 ((10x^5)/(2x^3) + (4x^4)/(2x^3) + (8x^3)/(2x^3))
2x^3(5x^2 + 2x + 4)

The answer is: 2x^3(5x^2 + 2x + 4).

A taut string of length 10 inches is plucked at the center. The vibration travels along the string at a constant rate of c inches per millisecond in both directions. If x represents the position on the string from the left-most end, so that 0≤x≤10, which of the following equations can be used to find the location x of the vibration after 0.3 milliseconds? A. | x -5 | =0. 3 B. ∣cx−5∣=0.3 C. | x -0.3 | = 5 D. | x - 10 | =0.3c

Answers

Answer:

The correct option is

A.  \ (1)/(c) * \left | x - 5 \right | = 0.3

Step-by-step explanation:

The parameters given are;

The length of the string = 10 inches

The speed or rate of travel of the wave = c inches per millisecond

The position on the string from the left-most end = x

The time duration of motion of the vibration to reach x= 0.3 milliseconds

The distance covered = Speed × Time = c×0.3

Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;

The location on the string where it is plucked = center of the string = 10/2 = 5 inches

Distance from point of the string being plucked (the center of the string) to the left-most end = 5 inches

Therefore, on the left side of the center of the string we have;

The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)

On the right side of the center, the distance from x is -(5 - x) = x - 5

Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is (1)/(c) * \left | x - 5 \right | = 0.3 or \left | x - 5 \right | = 0.3 * c which gives the correct option as A

What is the solution to the proportion? Round the answer to the nearest tenth if necessary. StartFraction 52 over x EndFraction = StartFraction 9.5 over 3.25 EndFraction x = 14.6 x = 17.8 x = 157.8 x = 169.0

Answers

The solution to the proportion would be x = 17.8 which is the correct option (B).

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been the given proportion as:

⇒ 52 : x = 9.5 : 3.25

⇒ 52/x = 9.5/3.25

⇒ 52/x = 2.923

Cross multiplication, and we get

⇒ x = 52/2.923

Apply the division operation,

⇒ x = 17.8

Therefore, the solution to the proportion would be x = 17.8.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ5

Answer: 17.8

Step-by-step explanation:

If there is a 30% chance a student will fail a class at Fresno State, find the probability that of four randomly chosen students.All fail a class.

Answers

Answer:

81%

Step-by-step explanation:

If there is a 30 percent chance a student will fail a class at Fresno State, we can simply multiply the percentage by the probabilities of all students failing. Every option available:

P(All four fail) = 1 student fails * 2 students fail * 3 students fail * 4 students fail

P(All four fail) = 0.3 * 0.3 * 0.3 * 0.3

P(All four fail) = 0.0081

0.0081 = 81%