Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: "A rectangular yard is 20 ft by 15 ft. The yard is cover with grass except for 8.5 feet square flower garden. How much grass is in the yard?"</h3><h3 />
The area of a rectangle can be calculated with the following formula:
Where "l" is the lenght of the rectangle and "w" is the width.
Based on the data given in the exercise, you can identify tha the length and the width of the rectangular yard are:
Then, you can substitute these values into the formula and then evaluate in order to find the area of the entire yard:
The area of the flower garden which is an square, can be calculated with this formula:
Where "s" is the side length.
In this case you know that:
Then the area of the flower garden is:
<em> </em>Since this is not covered with grass, you need to subtract both areas calculated above in order to find the surface covered with grass in the yard.
This is:
Answer:
First, subtract to find the amount of change: 225 - 25 = 200. The increase is 25. Next, divide the amount of change by the original amount:.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Trigonometric functions are used to show the relationship between the angles of a triangles and the sides of the triangle. For a right angled triangle, the ratio of the sides can be gotten using trigonometric functions such as:
cosθ = adjacent/hypotenuse, sinθ = opposite/hypotenuse, tanθ = opposite/adjacent
Given the right angle triangle:
cos(A) = adjacent / hypotenuse = 3 / 4.24
cos(A) = 3 / 4.25
cos(B) = adjacent / hypotenuse = 3 / 4.24
cos(B) = 3 / 4.24
cos(A) / cos(B) = (3 / 4.24) ÷ (3 / 4.24) = 1
cos(A) / cos(B) = 1
By combining the equations we can found that the number of impulse clothing and Opal essence stores by equations be C (3x+5)/2 where x is the number of years after the brand's founding.
Given The equation showing number of impulse clothing stores is C=2x. The equation showing number of clothing stores be C=x+5.
We have to first plot both the equations on the graph.
For plotting we need points which can be calculated as
C=2x
when x=1 ,C or y=2
when x=3 , C or y=6
C=x+5
when x=0 ,C or y=5
when x=1 ,C or y=6
By combining both equations we get
C=(3x+5)/2
Plot this also and finding points
when x=0 , C=5/2
when x=1 , C=4
Hence the combination of both statements which shows the total stores owned is C=(3x+5)/2
Learn more about equation at brainly.com/question/2972832
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Answer:
1. |y| sqrt(10)
2. |x| sqrt(x)
3. a^2 sqrt(a)
4. 4 |y|^3 sqrt(3)
5. 1/4 *|x| sqrt(3x)
Step-by-step explanation:
1. sqrt(10y^2)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(y^2) sqrt(10)
|y| sqrt(10)
We take the absolute value of y because -y*-y = y^2 and the principle square root is y
2. sqrt(x^3)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(x^2) sqrt(x)
|x| sqrt(x)
3. sqrt(a^5)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(a^4) sqrt(a)
a^2 sqrt(a)
4. sqrt(16 y^7)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(16) sqrt(y^6)sqrt(y)
4 |y|^3 sqrt(3)
5. sqrt(3/16x^3)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(1/16) sqrt(x^2)sqrt(3x)
1/4 *|x| sqrt(3x)
