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3 years ago

Find the value of x and the measure of the angle labeled 3x°.

Mathematics

2 answers:

r-ruslan [8.4K]3 years ago

5 0

Answer:

answer is B............

Step-by-step explanation:

72-42...30

angle is 3x so divide it by 3

30 divided by 3 gives you 10

Paladinen [302]3 years ago

3 0

Answer:

D. x = 10; angle measure is 30°.

Step-by-step explanation:

I did this exact question on A P E X and it correct. I hope this helped. Have a good day!

Proof:

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All factor pairs for 13

kvv77 [185]

Answer: 1, 13

Step-by-step explanation:

1, 13 because 13 is a prime number. And prime numbers don't have factors.

Hope this helps :)

3 0

4 years ago

Solve the system of equations by substitution.<br> 3/8x +1/3y=17/24<br> x+7y=8

const2013 [10]

Answer:

x=1, y=1.

Step-by-step explanation:

From the second equation:

x = 8 - 7y, so substituting for x in the first equation:

3/8(8 - 7y) + 1/3y = 17/24

3 - 21/8 y + 1/3y = 17/24

1/3y - 21/8y = 17/24 - 3

Multiply through by 24:

8y - 21*3 y = 17 - 72

8y - 63y = -55

-55y = -55

y = 1.

And substituting for y in the second equation:

x + 7(1) = 8

x = 8 - 7

x = 1.

3 0

3 years ago

A six-sided number cube is rolled twice.

Gekata [30.6K]

Answer:

1/6

Step-by-step explanation:

There are 6 numbers on a dice

1,2,3,4,5,6

the even numbers are 2,4,6

so there are 3/6 chance of getting an even number

3/6=1/2

5 and 6 are the two numbers greater than 4

so there are 2/6 chance of getting a number greater than 4

2/6=1/3

So for both to happen chance = 1/2 × 1/3

= 1/6

8 0

4 years ago

I really need help with this question. I need this to be explained because I don't even understand what a 5-number summary is. T

OLEGan [10]

I did it on paper just now. Sorry for the sloppy handwriting, but you should be able to answer the two questions with the info I got. If you don't know what five number summary is, just google it.

Basically, arrange the list of numbers in order, and then find the minimum, 1st quartile, median, 3rd quartile, and maximum.

8 0

3 years ago

The displacement of a 500 g mass, undergoing simple harmonic motion, is defined by the function :

Valentin [98]

To solve this problem, we have to write out the simple harmonic motion equation and then use the respective formula to solve. The maximum kinetic energy, maximum potential energy and the maximum mechanical energy is equal to 7.56J.

<h3>Simple Harmonic Motion</h3>

The given equation of the simple harmonic motion is

$x = 3.5sin(\frac{\pi}{2t} + \frac{5\pi}{4})\\$

Data;

ω = π/2
k = 1.254N/m

Solving this

$\frac{dx}{dt} = \theta = -3.5 * \frac{\pi}{2} cos (\frac{\pi }{2}t + \frac{5\pi}{4})\\$

Let's calculate the maximum velocity.

$V_m = \frac{3.5\pi}{2}$

This is only possible when cos θ = -1

The maximum kinetic energy is

$K_m = \frac{1}{2}mv_m^2 = \frac{1}{2}* \frac{500}{1000} * (\frac{7\pi}{4} )^2\\K_m = 7.56J$

The maximum kinetic energy is 7.56J

The maximum potential energy can be calculated as

$\omega^2 = \frac{k}{m} \\k = \omega^2 m \\k = \frac{\pi^2}{4} * \frac{500}{1000}\\ k= 1.254 N/m$

Using the value of spring constant, we can find the maximum potential energy

$P.E = \frac{1}{2}kx^2\\P.E = \frac{1}{2} * 1.234 * 3.5^2\\P.E = 7.56J$

The maximum potential energy is 7.56J

The maximum mechanical energy is equal to the sum of maximum potential energy and the maximum kinetic energy.

$ME = P.E + K.E\\ME = 7.56J$

The reason ME is equal to 7.56J is because when x is at maximum, v = 0 and makes kinetic energy equal to zero.

ME = 7.56J

From the calculations above, the maximum kinetic energy, maximum potential energy and the maximum mechanical energy is equal to 7.56J.

Learn more on simple harmonic motion here;

brainly.com/question/15556430

#SPJ1

3 0

2 years ago