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3 years ago

Solve the following simultaneous equations. 5x – 3y = 6 3x + 4y= 21

Mathematics

1 answer:

ehidna [41]3 years ago

3 0

Answer:

y = 3, x = 3

Step-by-step explanation:

5x – 3y = 6

5x = 6 + 3y

x = (6 + 3y)/5

3x + 4y= 21

3x = 21 - 4y

x = (21-4y)/3

Using simultaneous equations:

(21-4y)/3 = (6 + 3y)/5

--> 105-20y = 18 + 9y

29y = 87

y = 3

x = (6 + 3(3))/5 = 3

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a ball is dropped from a height of 20 feet above the ground. The velocity v(s) of the ball after it has travelled a distance of

Lana71 [14]

The initial height is 20 feet above the ground.

The function to model the velocity is

$v(s)=60s$

Where s represents the distance in feet.

Mathematically, this function has all real numbers as a domain. However, that will no make sense for this situation, because it would use negative numbers for the distance s which does not make sense.

Therefore, the domain, in this case, would be all real numbers greater than or equal to zero, but less than or equal to 20.

The reason for this domain is that the ball will go from 20 feet above the ground to zero feet on the ground.

Using interval notation would be

$D\colon\lbrack0,20\rbrack$

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1 year ago

What is the equivalent fractions for 20/50 and 3/11?

yaroslaw [1]

Equivalent fractions for 20/50 => 2/5, 4/10, 6/15,and so on .....
=> 20/50 = 2/5
=> 20/50*2 = 4/10
=> 20/50*3 = 6/15

equivalent fractions for 3/11 => 3/11, 6/22, 9/33, 12/44 and so on ...
=> 3/11* 2 = 6/22
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Hope it helps !!!

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4 years ago

What would you get if you add two plus two

ozzi

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Step-by-step explanation:

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4 years ago

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3 years ago

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How to find the area of the shaded areas and to round the nearest hundredth please and thank you it help me a lot if you could a

andrew-mc [135]

<h3>Please Read Through This, Answers are Listed.</h3>

As a heads up, this post is going to be very long.

So to do these questions, first know what you need to do.

Goals to do:

1 - Find the area of the circle

2 -Find how much of it is shaded

3 -Find the shaded's area.

So, the first goal is to find the area of the circle, well that's fairly simple. Just do pi r². (r stands for the radius)

With the first question, they list the length GH as 11 inches. So just plug it in!

pi 11² ---> pi * 121 ---> ≈380.13

Next, find the amount that is shaded. So with that, look at the angle inside the circle, it is 64°. By knowing that the whole circle is 360°, just do 64/360 to find the an "important number".

64/360 ---> 0.17777777...

By using this important number and multiplying it with your total circle area, you'll get your answer.

380.13 * 0.17777777... ---> ≈ 67.6in² (QUESTION 1 ANSWER)

And then just do the same with the rest...

Question 2:

pi 22² ---> pi * 484 ---> 1520.53

139/360 ---> 0.38611

1520.53 * 0.38611 ---> ≈ 587.09cm² (QUESTION 2 ANSWER)

Question 3:

pi 3² ---> pi * 9 ---> 28.27

84/360 ---> 0.2333...

28.27 * 0.2333 ---> ≈6.60mm² (QUESTION 3 ANSWER)

Question 4:

pi 14.2² ---> pi * 201.64 ---> 633.47

***Because the angle is in the blank space, subtract it from 360 first before continuing.

360 - 87 ---> 273/360 ---> 0.7583333

633.47 * 0.7583333 ---> ≈480.38m² (QUESTION 4 ANSWER)

Question 5:

pi 9² ---> pi * 81 ---> 254.47

***Because the angle is in the blank space, subtract it from 360 first before continuing.

360 - 42 ---> 318/360 ---> 0.88333

254.47 * 0.88333 ---> ≈224.78in² (QUESTION 5 ANSWER)

Question 6:

pi 28² ---> pi * 784 ---> 2463.01

115/360 ---> 0.319444

2463.01 * 0.319444 ---> ≈786.79m² (QUESTION 6 ANSWER)

Question 7:

pi 32.5² ---> pi * 1056.25 ---> 3318.31

29/360 ---> 0.080555

3318.31 * 0.080555 ---> ≈267.31ft² (QUESTION 7 ANSWER)

Question 8

pi 29.5² ---> pi *870.25 ---> 2733.97

***Because the angle is in the blank space, subtract it from 360 first before continuing. Along with that, the angle has a square in place of a number, meaning that it is a right angle, or 90°.

360-60 ---> 270/360 ---> 0.75

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