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3 years ago

How is a rational number that is not an integer different from a rational number that is an integer?

Mathematics

1 answer:

wolverine [178]3 years ago

6 0

A rational number that is not a integer can be a demical and a rational that is a integer can not be a demical and also can be a whole number and it's opposite.

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I'm having trouble in my trigonometry class... I don't understand the Law of Sines

Alina [70]

I can help! I'm going to tell you really fast, right now. The law of sines is used to find angles of a general triangle.
What it is, is, a/sin A = b/sin B = c/sin C. This is the law. Basically, at the moment, it says sin

Okay, so, first you should identify the right angle. Obviously, it's < C. This means that they hypotenuse, hyp as they use it in class, is opposite it. Side AB.

It gives us the side c, or CB underneath. c=12. Sine is simple to remember, it's the opposite over the hypotenuse.
So first, we should acknowledge that sin A = sin 75°, sin B = sin 26°, and sin C = sin 90°.
So, here we go. sin 75° is opposite to side c, (12), so we line them up like this.
sin 75° sin 26° sin 90°
--------- = --------- = ----------
12 b a

We're going to find side b and side a. Because we're given side c, we can use it in two ways. As an adjacent side, or an opposite side.

Problem here is the hypotenuse, we don't know it. Now, to use sin, we need side a, which is the hypotenuse, we don't have. So we have to find that side first.
We have the adjacent side, (we're using angle B.) and the angle. We have the adjacent, and need the opposite, so for this we're going to use tan.

tan 26°/1 = 12/x
We cross multiply here.
tan 26°x=12.
We need to get x alone, so we divide tan 26° from both sides as so:
tan 26°x=12
------------ ---
tan 26° tan 26°

Dividing tan 26° from 12 will give us 24.60 (Rounded)
So, side b is 24.50.
This helps us a lot now, because we can use that side to find the hypotenuse.
We'll use angle B again, to be consistent, and we'll use sine, opposite/hypotenuse.
Sine 26° 24.50
----------- = ---------
1 x

Just like we did above with tan, we cross multiply, giving us: sin 26°x = 24.50
Divide sin 26° from both sides to get the x alone. sin 26° is .4383711468.
Divide that from 24.50, and we get 55.89 (once again, rounded to the correct number of significant digits.)

So, we have our sides, which was what we needed to figure out. side a is 55.89, and side b is 24.50, and side c is 12.

The Law of Sines corresponds with the Law of Cosines. The key of the Law of Cosines is if you have two angles and a side, you can find out everything else about the triangle.

And that's what we've done.

I hope this made sense, and if it's counted wrong on your test, please forgive me. I'm still fairly new to the Law of Sines.

7 0

3 years ago

VOLUME OF PYRAMIDS & CONES MAZE!

sukhopar [10]

Answer:

192m³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a square based pyramid

The highlighted figure is a square based pyramid

The volume of a pyramid is

V=a²h/3

Where a= base length

h= height

Given a= 8m

h= 9m

Volume = 8²*9/3

Volume = 64*3

Volume = 192m³

7 0

3 years ago

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

tensa zangetsu [6.8K]

Answer:

The third answer. Above none.

Step-by-step explanation:

Its flipped 180(completely upside down) and located directly below.

3 0

3 years ago

Read 2 more answers

Set notation and interval notation:<br><br> -3 is less than or equal to x, which is less than 5

ASHA 777 [7]

-3 is less than 5 -3<5

4 0

3 years ago

Read 2 more answers

Given the Arithmetic series A1+A2+A3+A4 7 + 11 + 15 + 19 + . . . + 91 What is the value of sum?

aivan3 [116]

Answer:

The value of the sum is 1078

Step-by-step explanation:

* Lets revise how to find the sum of the arithmetic series

- In the arithmetic series there is a constant difference between each

two consecutive terms

- Ex:

# 4 , 9 , 14 , 19 , 24 , .......... (+ 5)

# 25 , 15 , 5 , -5 , -15 , .......... (-10)

- So if the first term is a and the constant difference between each two

consecutive terms is d, then

U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , ..........

- Then the nth term is Un = a + (n - 1)d

- The sum of n terms is Sn = n/2[a + L] , where L is the last term in

the series

* Lets solve the problem

∵ The arithmetic series is 7 + 11 + 15 + 19 + ......................... + 91

∴ The first term (a) is 7

∴ The last term is (L) 91

- Lets find the constant difference

∵ 11 - 7 = 4 and 15 - 11 = 4

∴ The constant difference (d) is 4

- Lets find the sum of the series from 7 to 91

∵ Sn = n/2[a + L]

∵ a = 7 and L = 91

∴ Sn = n/2[7 + 91]

- We need to know how many terms in the series

∵ L is the last term and equals 91 lets find its position in the series

∵ Un = a + (n - 1)d

∵ a = 7 , d = 4 and Un = 91

∴ 91 = 7 + (n - 1)(4) ⇒ subtract 7 from both sides

∴ 84 = (n - 1)(4) ⇒ divide both sides by 4

∴ 21 = n - 1 ⇒ add 1 to both sides

∴ n = 22

∴ The number of the terms in the series is 22

- Lets find the sum of the 22 terms (S22)

∴ S22 = 22/2[7 + 91]

∴S22 = 11[98] = 1078

* The value of the sum is 1078

4 0

4 years ago