Answer:
Perimeter of the rectangle = 8 x +4
Length of the rectangle = 12 units.
Step-by-step explanation:
Let the width of the rectangle as 'x' units.
So, length of the rectangle is 2 more than 3 x.
We can set up expression for length as 3 x+2.
Now, perimeter is sum of all side lengths of the rectangle.
So, perimeter = x+x+3 x+2 +3 x+2
Combine like terms,
Perimeter = 8 x+4
Now, it is given perimeter is 36cm
So,
8 x+4=36
Subtract both sides 4
8 x=32
Divide both sides by 8
x=4
So, width of the rectangle =4
Length =3(4) +2=14
Answer:
Step-by-step explanation:
In order to make a specific shade of green paint, a painter mixes 1 1/2 quarts of blue paint. Converting 1.5 quarts to cup,
1 quart = 4 cups
1.5 quarts = 1.5 × 4 = 6 cups
She also used 1/2 gallon of white paint. Converting 0.5 gallons to cup,
0.0625 gallons = 1 cup
0.5 gallons = 0.5/0.0625 = 8 cups
This means that the ratio of cups of blue paint to green paint to white paint is 6: 2 :8
Total ratio = 6 +2 + 8 = 16
To make 100 cups of this shade of green,
Cups of blue paint needed = 6/16 × 100 = 37.5 cups
Cups of green paint needed = 2/16 × 100 = 12.5 cups
Cups of white paint needed = 8/16 × 100 = 50 cups
The surface area of a cylinder with circular bases of radius <em>r</em> and height <em>h</em> is equal to the sum of the areas of the two circular faces and the area of the rectangular lateral surface:
<em>A</em> = 2π<em>r</em>² + 2π<em>rh</em>
If you know the height <em>h</em>, then you can solve the quadratic equation for <em>r</em>.
Answer:
The wide of river is 
Step-by-step explanation:
In this problem we know that
Triangles DEG and DEF are congruent by ASA (Angle-Side-Angle) Congruence
therefore
EG=EF
