The number in the blank box should be 44 because it said that "3 times x and 4 times y is 44".
You need to multiply the first equation by 3:
3x + 3y = 39.
Then, subtract the first equation from the second equation:
3x - 3x = 0
4y - 3y = y
44 - 39 = 5
Your new equation should look like this: y = 5
Now, substitute y = 5 into the first original equation:
x + 5 = 13
x = 8
Ans. (x, y) = (8, 5)
<h3>
Answer: 72.54</h3>
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Explanation:
We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.
This is what your steps could look like:
cos(angle) = adjacent/hypotenuse
cos(L) = LM/LN
cos(L) = 18/60
cos(L) = 0.3
L = arccos(0.3)
L = 72.542396876278 which is approximate
L = 72.54 degrees approximately
Make sure your calculator is in degree mode.
Ok this is a linear equation that is descending and is in slope intercept form
Answer:
<h2>Area = 14m²</h2>
<u>Step-by-step explanation:</u>
area of rectangle = length × breadth
area of rectangle = 4 × 2
area of rectangle = 8m²
area of Triangle = 1/2 × base × height
area of Triangle = 1/2 × 4 × 3
area of Triangle = 6m²
Total area = 8 + 6
Total area = 14m²
Answer:
Step-by-step explanation:
Given the expression
Follow the PEMDAS order of operations
calculate within parentheses 
calculate exponents 
Multiply and divide (left to right)
Add and subtract (left to right) 
Thus,
