Answer:
155
Step-by-step explanation:
calculate the areas of 2 rectangles
method A
one rectangle with lengths 8 and 10
the other 15 and 5
so 8x10 + 15x5 = 80 + 75 = 155
method B
one traingle with lenghts 5 and 7
the other 15 and 8
so 15x8 + 5x7 = 120 + 35 = 155
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<u><em>Answer:</em></u>m(x) has the same domain as (m*n)(x)
<u><em>Explanation:</em></u><u>1- For m(x):</u>m(x) is a fraction. This means that the <u>denominator cannot be zero</u>, otherwise, the fraction would be undefined.
The denominator of m(x) would be zero at x = 1.
This means that the <u>domain of m(x) can be any real number except 1</u>
<u>2- For n(x):</u>The value of x in n(x) can be any number. This is because there is no value that would make n(x) undefined.
This means that the <u>domain of n(x) is all real numbers</u>
<u>3- For (m*n)(x):</u>(m*n)(x) = m(x) * n(x) = </span>

<span>
We can note that the product is also a fraction. This means that the <u>denominator cannot be zero</u>.
The denominator here will be zero at x = 1.
This means that the <u>domain of (m*n)(x) is all real numbers except 1</u>.
<u>
This is the same as the domain of m(x)</u>
Hope this helps :)</span>
Answer:
144°, 144°, 36°, 36°.
Step-by-step explanation:
Take shorter angle = x
Then the bigger angle = 4x (4 times the other angle)
In a parallelogram, there are 4 angles. Also, in a parallelogram opposite angles are equal to each other.
So,
1 angle = x
2 angle = 4x
3 angle = x
4 angle = 4x
The sum of all 4 angles in a parallelogram = 360°. So,
4x + x + 4x + x = 360°
10x = 360°
x = 360/10
x° = 36°
4x = 36 × 4 = 144°
Angles in the parallelogram = 144°, 144°, 36°, 36°.
Hope it helps ⚜
Answer:
1) 
2) 49.225
3) 
Step-by-step explanation:
1) To find the expected value of the dice we can use the following equation:

So in our problem the values x will be: 1/1, 1/2, 1/3, 1/4, 1/5 and 1/6 and the probavility for all values is 1/6 so the expected values will be:

2) To find the variance of the expected values we can use the equation:

So for our problem will be:



3) To find the expected value of the dice we can use the following equation:

So in our problem the values x will be: 1, 2, 3, 4, 5 and 6 and the probavility for all values is 1/6 so the expected values will be:

Answer: C. Engine life decreases steady with time.
Step-by-step explanation: