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Ganezh [65]
3 years ago
8

Match each expression it to an equivalent expression

Mathematics
1 answer:
kykrilka [37]3 years ago
4 0

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

\frac{4^2}{2^2} = 4\\\\(8-4)*4=4^2\\\\2^2 + 2^2 = 8

»»————- ★ ————-««  

Here’s why:  

\boxed{\text{Simplifying each expression:}}\\\\\frac{4^2}{2^2}\\---------\\\\\\rightarrow \frac{16}{4}\\\\\rightarrow \boxed{4}\\\\ \boxed{\frac{4^2}{2^2}=4}

⸻⸻⸻⸻

(8-4) * 4\\-----------\\\rightarrow (4)*4\\\\\rightarrow \boxed{16}\\\\\text{We can also tell...}\\\\4^2 = 4 * 4 = \boxed{16}\\\\\text{So...}\\\\\boxed{(8-4)*4 = 4^2}

⸻⸻⸻⸻

2^2 + 2^2\\--------------\\\rightarrow 4 + 2^2\\\\\rightarrow 4 + 4\\\\\rightarrow \boxed{8}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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(Photo attached) Trig question. Thanks in advance! :)
kolbaska11 [484]

Answer:

  a) cos(α+β) ≈ 0.8784

  b) sin(β -α) ≈ -0.2724

Step-by-step explanation:

There are a couple of ways to go at these. One is to use the sum and difference formulas for the cosine and sine functions. To do that, you need to find the sine for the angle whose cosine is given, and vice versa.

Another approach is to use the inverse trig functions to find the angles α and β, then combine those angles and find find the desired function of the combination.

For the first problem, we'll do it the first way:

  sin(α) = √(1 -cos²(α)) = √(1 -.926²) = √0.142524 ≈ 0.377524

  cos(β) = √(1 -sin²(β)) = √(1 -.111²) ≈ 0.993820

__

a) cos(α+β) = cos(α)cos(β) -sin(α)sin(β)

  = 0.926×0.993820 -0.377524×0.111

  cos(α+β) ≈ 0.8784

__

b) sin(β -α) = sin(arcsin(0.111) -arccos(0.926)) ≈ sin(6.3730° -22.1804°)

  = sin(-15.8074°)

  sin(β -α) ≈ -0.2724

4 0
4 years ago
Consider the piecewise-defined function given by the graph. What are these values?
maksim [4K]

Answers:

f(-3) = -1

f(-1) = 2

f(3) = 5

======================================

Explanations:

Draw a vertical line through -3 on the x axis. Make sure this vertical line crosses the orange graph. Mark this point of intersection and then draw a horizontal line from this point to the y axis. You should find that it touches -1 on the y axis. Check out the attached image to see this process in action.

Those steps basically say that x = -3 leads to y = -1. Since y = f(x), this means f(-3) = -1

Through similar steps, you should find that f(-1) = 2 and f(3) = 5

Note that the open hole/circle does not count. So if you land on an open hole, just keep going until you hit a closed circle on the other piece of the graph.

6 0
3 years ago
Read 2 more answers
Plz help and get 10 points plz help me emergency
emmainna [20.7K]
I believe that 1 cup has 8 fluid ounces, and for 3 it is 24 fluid ounces, and for 5 it is 40 fl oz, for 7 it is 56 fl oz

For gallons the first one is 16, for 5 it is 20, for 6 it is 24, and for 7 it is 28.

For the gallon with pint measurement, the first one is 32 pt, the second one is 40, the third one is 48, and the fourth one is 56.


For quarts the first one is 2 pt, the second is 4 pt, the third one is 6 pt, and the fourth one is 8 pt.




6 0
3 years ago
Write a postive or negative integer that repesents the situation. A football team loses 3 yards
Andreas93 [3]

Answer: -3

Step-by-step explanation:

Loses means negative. It is getting lesser and if you use a number line and start from zero, you move to the left side of it and get -3. I hope that helps.

3 0
3 years ago
Pls help me this is due tomorrow
Anna [14]

Step-by-step explanation:

Claim: There's 14 Goats and 9 Chickens!!

Data:

Working with the Provided Information.

Let the Number of goats be x

let the Number of Chickens be y

x + y = 23..... (i)

Since the goat Possesses Two Pair of Legs... Which is a Total of 4 Legs... We say Let its Contribution be 4x.

The Chicken has Only a Pair Of Legs...Which is a total of 2 legs.... We say let its contribution be 2y

4x + 2y = 74 .....(ii)

BRINGING BOTH EQUATIONS TOGETHER.

x + y = 23

4x + 2y = 74

From Eqn i

x= 23 - y

Substitute into eqn ii

4(23 - y ) + 2y = 74

92 - 4y + 2y = 74

92 - 2y = 74

2y = 92 - 74

2y = 18

y= 9.

Substitute y into any of the eqns to get x

x + y = 23

x + 9=23

x = 23 - 9

x = 14

This simply proves that there are 14 Goats and 9 Chickens!!!.

HAVE A GREAT DAY!

7 0
3 years ago
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