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nignag [31]
2 years ago
9

Find the value of a

Mathematics
2 answers:
Artist 52 [7]2 years ago
6 0

81° + a° + 2a° = 180°

81° + 3a = 180°

3a = 180 - 81

3a = 99°

a = 99 ÷ 3

a = 33°

Therefore , a = 33° .

Gwar [14]2 years ago
3 0

Answer:

45

Step-by-step explanation:

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Pedro compró un minigimnasio para ejercitarse
Contact [7]

Answer:

Pedro pagó $448

Step-by-step explanation:

Sea P el precio inicial de un objeto.

Si aplicamos un descuento del X%, entonces el nuevo precio del objeto es:

NP = P*(1 - X%/100%)

y lo que estamos ahorrando es:

P - NP

En este caso, primero tenemos un descuento del 30%, entonces:

NP = P*(1 - 30%/100%) = P*(1 - 0.3)

Luego tenemos otro descuento, esta vez del 20%, entonces:

NP' = NP*(1 - 20%/100%) = P*(1 - 0.3)*(1 - 20%/100%) = P*(1 - 0.3)*(1 - 0.2)

Lo que Pedro ahorra es igual a $352

entonces:

P - NP' = $352

P -  P*(1 - 0.3)*(1 - 0.2) = $352

P*(1 - (1 - 0.3)*(1 - 0.2)) = $352

P*(1 - 0.56) = $352

P = $352/(1 - 0.56) = $800

Esto significa que el precio original era $800.

Y lo que pedro pago esta dado por la ecuación:

NP' = P*(1 - 0.2)*(1 - 0.3) = $800*(1 - 0.2)*(1 - 0.3) = $448.

8 0
2 years ago
If f(x)=2^x and g(x)=2^x+4 -5 explain how the graph g(x) has been transformed from the graph of f(x) ?
nataly862011 [7]
The graph would move 4 units left and 5 down
I think
Look below

8 0
3 years ago
A firm has a revenue function that can be represented by r (x)=700x-0.35x^2, where r (x) is the total revenue (in dollars) and x
Fudgin [204]

Answer:

How many units need to be sold to produce the maximum revenue? 1000 units

How many in dollars is the maximum revenue when the maximum of units are sold? $350,000

Step-by-step explanation:

We get max value of a function if we differentiate it and set it equal to 0.

We need to differentiate r(x) and set it equal to 0 and solve for x.

<u><em>That would be number of units sold to get max revenue.</em></u>

<u><em /></u>

<u>Then we take that "x" value and substitute into r(x) to get the max revenue amount.</u>

<u />

Before differentiating, we see the rules shown below:

f(x)=ax^n\\f'(x)=n*ax^{n-1}

Where

f'(x) is the differentiated function

Now, let's do the process:

r (x)=700x-0.35x^2\\r(x)=700-2*0.35x\\r(x)=700-0.7x\\0=700-0.7x\\0.7x=700\\x=1000

So, 1000 units need to be sold for max revenue

Now, substituting, we get:

r (x)=700x-0.35x^2\\r(1000)=700(1000)-0.35(1000)^2\\r(1000)=350,000

The max revenue amount is $350,000

5 0
3 years ago
What is (f+g)(x)?<br> f(x)=<br> –<br> 2x<br> g(x)=<br> –<br> 3x2–7x
sdas [7]

Answer:

This simply means you add both functions. (f + g)(x) = f(x) + g(x). So the answer is -2x + -3x^2 - 7x = -3x^2 - 9x. please do not "carriage return" within question.

5 0
2 years ago
How can you use a mapping diagram to determine the domain and the range of a relation?
Studentka2010 [4]
Step 1: Draw the mapping diagram for the given relation.
Step 2: A relation is a function if each element in the domain is paired with one and only one element in the range.
<span>Step 3: From the mapping diagram, it can be observed that the given relation is not a function as '3' in the domain is paired with two elements - 1 and - 2 in the range and '6' is paired with - 1 and - 2.

                              Domain                Range 
                                        3         |     -1
                                                   |
                                                   |
                                        6         |     -2</span>
4 0
2 years ago
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