<h3>Answer:</h3>
133 ft
<h3>Step-by-step explanation:</h3>
Given in the question,
length of the rectangle = 31 ft
width of the rectangle= 20 ft
diameter of semicircle = 20 ft
radius of semicircle = 20/2 ft = 10 ft
<h3>Formula to use:</h3>
perimeter of rectangle + perimeter of semicircle
perimeter of rectangle = 2(l+w)
perimeter of semicircle = 1/2(2πr)
<h3>Plug values in the formula above</h3>
2(31 + 20) + 3.14(10)
133.4 ft
≈ 133 ft
Answer:
Total no.of possible outcomes = 200 × 4 = 800
No.of favourable outcomes = 200 × 1 = 200
P (E) = no.of favourable outcomes / total no.of possible outcomes
= 200/800
= 1/4
Ok so for starters you want to choose an equation and solve for a variable.
So, I am going to choose x from the first equation.
Add y to both sides and you get x=11+y
Next, substitute 11+y for x in the other equation so you get...
2(11+y) +10y=-6
Next distribute the 2 throug the 11 and the y
22+2y+10y=-6
12y=-28
y=-28/12
reduce this fraction to make this easier.
y=-7/3
Now plug in why to either of the equations to find x
x-(-7/3)=11
x+7/3=11
x=11-(7/3)
x=(33/3)-(7/3)
x=26/3
so x = 26/3 and y = -7/3
you can also check to see if this is correct by substituting each of these values into the equations.
Hello!
6.
Since the area is that of a square, you know that all side lengths are the same.
Area is base times height (A = bh), but since base and height are the same for a square, you get the formula A = a².




The length of the side of a square with an area of 144 in² is
12 in.
7.
Rational number.
8.
This is a right triangle; use the Pythagorean Theorem to find missing lengths of right triangles. Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.
Plug in your leg lengths:
a² + b² = c²
8² + x² = 21²
64 + x² = 441
x² = 377
x = 19.4
maybe bc of how many times you can add the number itself