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cupoosta [38]
2 years ago
12

Which methods correctly solve for the variable s in the equation -2 - 5s =9?​

Mathematics
1 answer:
Ivanshal [37]2 years ago
3 0
The answer is C: first add 2 both sides then divide both sides by -5.
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What is the distance across the lake?<br>​
Advocard [28]

Answer:

you have to use the formula

Step-by-step explanation:

length times with time height

6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20express%20%5C%3A%20%20%5C%3A%20%5Csin%282x%29%20%20-%20%20%5Csqrt%7B3%7D%20%20%5Ccos%282x%2
gizmo_the_mogwai [7]

Answer:

α = π/3

γ = 2

x = -3π/4, -5π/12, π/4, 7π/12

Step-by-step explanation:

Easiest way to do this is in reverse.

γ sin(2x − α)

Angle sum/difference formula:

γ (cos α sin(2x) − sin α cos(2x))

Distribute:

γ cos α sin(2x) − γ sin α cos(2x)

Matching the coefficients:

γ cos α = 1

γ sin α = √3

Solve the system of equations.  Divide to eliminate γ:

tan α = √3

α is between 0 and π/2, so:

α = π/3

γ = 2

sin(2x) − √3 cos(2x) = 1

Using the identity from before:

2 sin(2x − π/3) = 1

Solving:

sin(2x − π/3) = 1/2

2x − π/3 = π/6 + 2kπ or 5π/6 + 2kπ

2x = π/2 + 2kπ or 7π/6 + 2kπ

x = π/4 + kπ or 7π/12 + kπ

x is between -π and π, so:

x = -3π/4, -5π/12, π/4, 7π/12

7 0
4 years ago
How many 1/8 teaspoons are equal to 4 3/4 teaspoons?
Vinvika [58]

1. Convert fraction into same decimal.

To find this answer, we want to first convert the fraction so that the denominators are the same:

3/4 = ?/8

Divide the original denominator by the needed-to-be denominator.

8 / 4 = 2

Do reversal calculations

4 x 2 = 8

So, now that we know to multiply the original denominator by 2 to get the new denominator, multiple the numeriator by the same.

3           6

_  x 2 = _

4           8

So now, the new equation is:

How many 1/8 teaspoons are equal to 4 6/8 teaspoons.

(The reason why you must convert is because then you can simply say that the fraction is 6 1/8's, which means you just have to worry about the whole numbers.

2. Convert the whole numbers into a fraction to make it easier.

In order to convert whole numbers into fractions, first find the denominator your using. Which in this case, it is 8.

?/8

Now remember, for it to be a whole number, the numeriator and denominator MUST be the same.

8/8 = 1

Now remember, there are four 1's. Multiply the numeriator by 4, but keep the denominator the same or else the equation is ruined.

32/8 = 4

3. Add all your information together.

DO NOT forget to add the information you collected during the equation, or else you will get a wrong answer. Add the equation's final answer to the whole numbers final answer.

32 / 8 + 6 / 8 = ?

32 / 8 + 6 / 8 = 38 / 8

Well now, remember something. It is asking us, how many 1/8's were in the equation 4 3/4. We have transformed 4 3/4 into a whole equation, 38/8.

Now, all you need to do is look at the numeriator.

What number do you see?

You see 38.

The denominator is the correct denominator that you need. So, the number of the numeriator is the answer to the equation.

So, how many 1/8 are in 38/8?

38!

5 0
4 years ago
Explain why 13233345364715 is a composite no.​
rodikova [14]

Answer:

A composite number has more than two factors.  In this case, the number 13233345364715 has more than two factors, so it is composite.  

Step-by-step explanation:

Numbers can be classified as prime or composite.  Prime numbers have only two factors, 1 and the number itself.  For example, 13 is a prime number because only 1 and 13 can be multiplied together to get 13.  However, a composite number has more than two factors.  In the case of the numer 13233345364715, I know that there are more than two factors because the number ends in 5, which means it has a factor of 5.  To confirm, divide 13233345364715/5 = 2646669072943. This large of a number may also have other factors, however, since you now know it has at least four factors, it is composite.  

6 0
3 years ago
A rectangular tank is 76cm long ...50cm wide and 40cm high....how many litres of water can it hold ​
cricket20 [7]
Answer:152 litres
Steps:76cm×50cm×40cm
=152000cm³
Converting cm³ into litres
=152litres
3 0
2 years ago
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