Tickets for a rock concert are selling fast! Tim and his 2 friends decide to buy tickets, his dad loans him $20 as well for an e
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Answer:
The length of the rectangle is 18 cm
The width of the rectangle is 6 cm
Step-by-step explanation:
Let
x-----> the length of the rectangle
y----> the width of the rectangle
we know that
The perimeter of the rectangle is
we have
so
------> equation A
------> equation B
Substitute equation B in equation A and solve for y
48=2(2y+6+y)
48=2(3y+6)
48=6y+12
6y=48-12
y=36/6=6 cm
Find the value of x
x=2(6)+6=18 cm
The area of the rectangle is
A=xy
A=18*6
A=108 cm^2
Answer:
Part A:
Part B:
and
Step-by-step explanation:
Part A:
The inicial concentration of the lemonade is 50%, and the volume is 4 quarts, and we will add x quarts of a lemonade with a concentration of 100%, so the total volume will be y, and the concentration will be 0.7, so we have that:
Using the value of y from the first equation in the second one, we have:
Part B:
If he shoots a total of ten targets, we can write the equation:
Each stationary target is 2 points, and each moving target is 3 points, so if the total points is 23, we have:
If we subtract the second equation by two times the first one, we have:
⇒
The new area will be 320 in²
<em><u>Explanation</u></em>
Lin has a drawing with an area of 20 in² and she increases all sides by a scale factor of 4.
<u>The general rule</u> we need to use here.......
"<em>If the lengths of the sides in a shape are all increased by a scale factor of , then the area will be increased by a scale factor of
"</em>
Here the sides are increased by a scale factor of 4. So, the area will be increased by a scale factor of
Thus, the new area will be:
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: