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KIM [24]
4 years ago
10

Solve 240 = 6z + c for 'c'. show steps please

Mathematics
1 answer:
Lunna [17]4 years ago
6 0

There are two ways to find or determine for the value of c. In the first method, we can use addition and subtraction to isolate the variable c from the other variables. In the second method, we can use the transposition of variables to isolate the variable c from the other variables.

So solving for the value of c:

 

<span>Using 1st method: Addition and Subtraction</span>

We are given:

240 = 6 z + c

Simply subtract 6 z on both sides:

240 – 6 z = 6 z + c – 6 z

Cancelling 6 z – 6 z on the right side:

240 – 6 z = c

or

c = 240 – 6 z

 

<span>Using the 2nd method: Transposition</span>

240 = 6 z + c

What we are going to do here is to simply transpose the variable 6 z from the right side to the left side of the equation so that we are left with c alone on the right side. Always remember that when we transpose, the symbol becomes opposite. That is:

240 + (- 6 z) = c

240 – 6 z = c

or

<span>c = 240 – 6 z</span>

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You can just use sine.

Sin(F) = opposite/hypotenuse = 28/40.

F = sin^{-1}(28/40)

Plug into your calculator.


44.4
7 0
3 years ago
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Find the perimeter and area of the polygon shown below.
Mars2501 [29]

Answer:

A. P = 72 feet, A = 300 square feet

Step-by-step explanation:

✔️Perimeter = sum of all sides of the polygon = 15 + 16 + 17 + 8 + 16 = 72 ft

✔️Area of the polygon = area of a trapezoid = ½(a + b)h

Where,

a = 16 ft

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4 0
3 years ago
F(-2) = -1 and g(1) = -2<br> (Fog)(1)
yulyashka [42]

The value of the composite function fog(1) is -1

Step-by-step explanation:

Step 1 :

Given,

 f(-2) = -1

g(1) = -2

We need to find (fog)(1)

Step 2 :

Function f(2) means the value of the function f when x = 2

fog refers to composite function f(g(x)), that is evaluate the function g for x and then evaluate the function f for the result

So to find the composite function (fog)(1) we need to find g(1) first and then apply the function f on the result.

so g(1) = -2

f(g(1))=f(-2) = -1

fog(1) = -1

Step 3 :

Answer :

The value of the composite function is -1

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3 years ago
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adell [148]

Answer: x = 27°

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6 0
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Your teacher for the discussion-based assessment.
vova2212 [387]

Answer:

3

Step-by-step explanation:

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