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andrey2020 [161]
2 years ago
14

Parallelogram ABCD has sides of lengths 44mm and 26mm, and one of the angles has a measure of 100 degrees. Approximate the lengt

h of diagonal AC to the nearest mm
Mathematics
1 answer:
artcher [175]2 years ago
7 0

Answer:

In steps

Step-by-step explanation:

suppose ∠A = 100° Diagonal AC

AC² = 44² + 26² + 2 x 44 x 26 x cos 100° = 1936 + 676 - 398 = 2214

AC = 47 mm

another diagonal

BD² = 44² + 26² + 2 x 44 x 26 x cos 80° = 1936 + 676 + 398 = 3010

AC = 55 mm

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If 1 japanese yen equals 0.0079 euros, then 1 euro equals approximately how many japanese yen?
Oliga [24]
We know that

<span>applying a rule of three</span>
if <span>1 japanese yen -------------> equals 0.0079 euros
  X </span> japanese yen--------------> 1 euro
x=[1 euro]*[1 japanese yen]/[0.0079 euros]------------> 126.58 japanese yen

the answer is 
126.58 japanese yen
6 0
2 years ago
A fitness club holds an open house for new members. The club expects 6,500 people to sign up for gym membership. If there is a p
Nata [24]
Firstly, 6500 divided by 100 then x by 4= 260, 260 + 6500= 6760.
The greatest amount is 6760
Then you do 6500-260= 6240
The least amount is 6240
5 0
2 years ago
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The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?
Alenkinab [10]

For this case, the parent function is given by:

f (x) = x ^ 2

We apply the following transformations:


Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units upwards:

For k = 9 we have:

h (x) = x ^ 2 + 9


Horizontal translations:

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right

For h = 4 we have:

g (x) = (x-4) ^ 2 + 9

Answer:

The function g (x) is given by:

g (x) = (x-4) ^ 2 + 9

7 0
2 years ago
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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
2 years ago
If ce = 7x+4, find the value of x
Alex787 [66]

Hey there,

To find the value of x we can take the two, CD or DE and set them equal to CE.

First step is set the lines equal to each other:

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Now we combine like terms:

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Then we subtract 7x from both sides:

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Add 6 to both sides:

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Lastly we divide both sides by 2:

  • x = 5

So the value of x would have to be 5.  

Hope I helped,

Amna

7 0
2 years ago
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