Answer:
711.11
Step-by-step explanation:
<h3>Method 1 </h3>
If 777 is decreased by 12%. the number would now be (100% - 12%) 88% of what it was originally
0.88 x 777 = 683.76
683.76 is increased by 4%. 683.76 would now be (100 + 4%) 104% of what it originally was
683.76 x 1.04 = 711.11
<h3>Method 2 </h3>
12% x 777 =
0.12 x 777 = 93.24
777 - 93.24 = 683.76
4% x 683.76 = 27.3504
683.76 + 27.3504 = 711.11
Answer:
1.49
Step-by-step explanation:
In order to find the slope of the tangent line to a given equation, and in a given point, we need to:
1. Find the first derivative of the given function.
2. Evaluate the first derivative function in the given point.
1. Let's find the first derivative of the given function:
The original function is 
But remeber that the derivative of 
is
so, 
2. Let's evaluate the first derivative function in the given point
The given point is (0.4,1.49) so:
Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.
Answer:
18
Step-by-step explanation:
Remark
This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't
However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.
Solution
Let the width = x
Let the length = x + 5
Area of the rectangle: L * w = x * (x + 5)
Area of the smaller squares (there are 2)
Area = 2*s^2
x = s
Area = 2 * x^2
Area of the larger squares = 2 * (x+5)^2
Total Area
x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120 Expand
x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120 Remove the brackets
x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120 collect the like terms on the left
5x^2 + 25x + 50 = 120 Subtract 120 from both sides.
5x^2 + 25x - 70 = 0 Divide through by 5
x^2 + 5x - 14 = 0 Factor
(x + 7)(x - 2) = 0 x + 7 has no meaning
x - 2 = 0
x = 2
Perimeter
P = 2*w + 2*L
w = 2
L = 2 + 5
L = 7
P = 2*2 + 2 * 7
P = 4 + 14
P = 18
Step-by-step explanation:
In a straight line theres 180 degrees and where x is you can tell its an X lines the opposites will be the same.
First you need to work out the triangles 180-122=58 and a triangle is 180 degrees so
58+40=98 180-98=82°
now working out the other triangle.
180-82=98, 43+98=141
180-141=39
and because the opposites will end up the same x=39°
Answer:
C.
Step-by-step explanation:
To find out if it is a factor divide 96 by 8 and you will see. Hope this helped you!!
