Hey there!
Let's make a system of equations using x and y to find the two numbers.X is smaller and y will be larger.
x+y=98
y-4x=18
Now, let's solve the bottom equation for y so we can use substitution.
y=18+4x
Now we plug this into the first equation.
x+18+4x=98
5x+18=98
5x=80
x=16
Now, we plug this into the first equation to find y.
y=82.
So, the larger number is 82 and the smaller number is 16.
I hope this helps! Have a great day!
Hey there!
Let's first define what area means. Area is for two-dimensional shapes, and expressions how big something is and to what extent. There are formulas that can measure area because these shapes are totally flat, and there's nothing more to measure.
However, when we have three-dimensional figures such as rectangular prisms, we use surface area. Surface area measures the total area that the object takes up, and is a sum of the areas of all the faces. The formula for surface area of a rectangular prism is:
2(lw + wh + lh)
So if we had:
L = 5
W = 6
H = 3
We would have:
A = 2(5×6 + 6 × 3 + 5×3) =
2(30 + 18 + 15) =
2(48 + 15) =
2(63) =
A = 126 units cubed
Notice how it's units cubed because there's 3 dimensions.
Hope this helps!
Answer:
Step-by-step explanation:
Given: Perimeter of triangular garden =
The sum of two sides of the garden =
Perimeter is the sum of all sides of a triangle.
Third side = Perimeter of triangular garden - sum of two sides of the garden
The expression represent the third side = .
V=(1/3)hpir^2
aprox
d=2r
d/2=r
d=24
r=24/2=12
V=2713
2713=(1/3)hpi(12^2)
2713=(1/3)hpi(144)
2713=48pih
divide both sides by 48
56.5208=hpi
aprox pi=3.14
divide both sides by 3.14
56.5208/3.14=h=18.0003
height=18cm
Bill has spent 1/6 of an hour longer jogging than swimming.