Answer:
The area of the sector is 17/2 π
Step-by-step explanation:
pi = π
To solve this problem we first have to find the fraction that corresponds to this angle of the total, for this we must divide the angle that they give us by 2π radians, since that is the angle of a circle
(17π/9 rad) / (2π rad) = 17/18
Now we multiply the area of the circle by this fraction and we will obtain the area of the sector that we want
9π * 17/18 = 17/2 π
The area of the sector is 17/2 π
Answer:
Cups of soup to be prepared = 320
Step-by-step explanation:
Using equivalent ratios
2:5 = X:800
X = (800 x 2)/5 = 320 cups
Cups of soup to be prepared = 320
Answer:
Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables. Each term in an algebraic expression is separated by a + sign or J sign. In , the terms are: 5x, 3y, and 8.
Step-by-step explanation:
Answer:
Pascal's Principal- A change in pressure at any point in an enclosed fluid will be transmitted equally to all parts of the fluid.
Real World Example- It could be anything such as, a tire when aired up.
Answer:
B length = 8 in.; width = 4 in
Step-by-step explanation:
Given
the length L = w + 4
Perimeter = 24 inches
Perimeter of a rectangle
= 2(L + W)
We now have two equations.
Equation 1: L = w + 4
Equation 2: P = 2(L + W)
Substitute L as w + 4 into equation 1. And 24 for p
Therefore
24 = 2(w + 4 + w)
24 = 2(2w + 4)
Distribute 2 into (2w + 4)
We have
24 = 2 x 2w + 2 x 4
24 = 4w + 8
Subtract 8 from both sides
24 - 8 = 4w + 8 - 8
16 = 4w
Divide both sides by 4
16/4 = 4w/4
4 = w
w = 4 inches
Now substitute 4 for w into either of the equations to get
L.
Using equation 1 , we have
L = w + 4
L = 4 + 4
L = 8 inches