Answer:
120 cm²
Step-by-step explanation:
Applying,
A = Ph................... Equation 1
Where A = Literal Area of the triangular prism, P = Perimeter of the base, h = height.
But,
P = a+b+c............... Equation 2
Where a, b, c represent the three sides of the triangular base
Therefore,
A = h(a+b+c)............... Equation 3
From the question,
Given: h = 8 cm, a = 4 cm, b = 5 cm, c = 6 cm
Substitute these values into equation 3
A = 8(4+5+6)
A = 8(15)
A = 120 cm²
5x+20+16
the expression is 5x+36
Answer:
3rd number = 30
2nd number = 7
1st number = 15
Step-by-step explanation:
(T) total of three numbers = 52
let 3rd number = 2 x
let 2nd number = x - 8
let 1st number = x
T = 1st + 2nd + 3rd
52 = 2x + (x - 8) + x
52 + 8 = 4x
60 = 4x
x = 60 / 4
x = 15
therefore,
let 3rd number = 2 (15) = 30
let 2nd number = 15 - 8 = 7
let 1st number = 15
Answer:
b = 18 m
c = 19.5 m
h = 9 m
Step-by-step explanation:
Call the smaller solid the original one, and call the larger solid the scaled one.
1. Find the scale factor
scale factor = length in scaled one / corresponding length in original one
scale factor = 7.5/5 = 1.5
The scale factor is 1.5
That means if you multiply any linear dimension of the original one by 1.5, you get the corresponding dimension of the scaled one.
Let's check our scale factor to make sure it's correct.
We see that the 5 m side corresponds to the 7.5 m side.
5 m * 1.5 = 7.5 m
Multiplying an original length by the scale factor of 1.5 gives us the scaled up length, so our scale factor of 1.5 is correct. Now we apply the scale factor of 1.5 to find b, c, and h.
b corresponds to 12 m
b = 12 m * 1.5 = 18 m
c corresponds to 13 m
c = 13 m * 1.5 = 19.5 m
h corresponds to 6 m
h = 6 m * 1.5 = 9 m
Answer:
b = 18 m
c = 19.5 m
h = 9 m
