Answer:
Slope: y = x
Step-by-step explanation:
Two ordered (-5,0) and (0, 5)
slope = Change in the y-values/ change in the x-value
slope = (5 - 0)/ [0 - (-5)] = 5/5 = 1
slope-intercept form: y = mx + b Using ordered pair (0, 5)
y = mx + b
5 = 1(0) + b
5 = 0 + b
5 = b
Slope-intercept form: y = mx ; y = x
Answer:
Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)
Step-by-step explanation:
Given:
Height of Frustum = 8 feet
Diameter of top = 6 feet
Diameter of base = 4 feet
Find;
Volume of fountain cup in gallons
1 cubic foot = 7.5 gallons
Computation:
Radius of top = 6 / 2 = 3 feet
Radius of base = 4 / 2 = 2 feet
Volume of fountain cup in gallons = (πh/3)[R² + r² + Rr]
Volume of fountain cup in gallons = [(3.14)(8)/3)[3² + 2² + (3)(2)]
Volume of fountain cup in gallons = [8.37)[9 + 4 + 6]
Volume of fountain cup in gallons = [8.37)[19]
Volume of fountain cup in gallons = 159.03
Volume of fountain cup in gallons = 159 feet³
Volume of fountain cup in gallons = 159 x 7.5
Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)
Answer:
x = 14
Step-by-step explanation:
X / 2 = 7
Multiply by 2 to isolate x.
x = 7 * 2
x = 14
Answer:
34cm²
Step-by-step explanation:
Find diagram in the attached file.
Since each square on the grid represent 1cm², the length of the each square will be 1cm
Area of the irregular shape can be gotten by breaking the irregular shape into three shapes which are the triangle, rectangle and a parallelogram.
Area of the irregular shape = area of triangle + area of rectangle + area of parallelogram
For TRIANGLE
Area of triangle = 1/2×base×height
Since the base of triangle is on 4square grid,
Base = 4cm
Height = 2cm
Area = 1/2×4×2
Area of ∆ = 4cm²
FOR RECTANGLE
Area of rectangle = Length ×Breadth
Length = 3cm
Breadth = 5cm
Area of the rectangular shape = 3×5
= 15cm²
FOR PARALLELOGRAM
Area of a parallelogram = Base × Height
Base = 5cm
Height = 3cm
Area = 5cm×3cm
Area = 15cm²
Area of the irregular shape = 4cm²+15cm²+15cm²
=34cm²
Go one box left from the 0 an 3 down
