Answer:
7
Step-by-step explanation:
plug in 3 where ever there is x
so
(4(3)+2)-7
use PEMDAS to solve from left to right
P: Parenthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
so we got p so we do that first
(4(3)+2) --> 4 × 3 = 12 (Multiplication first like in PEMDAS)
(12+2) = 14
so then in the equation you are left with
(14)-7 = 7
answer is 7
Answer:
The surface area of the pyramid in exact form is 64 + 
cm²
The approximated surface area of the pyramid is 174.9 cm²
Step-by-step explanation:
The surface area of the square pyramid is the sum of the area of the base and the area of the four triangular faces
In Δ EFD
∵ m∠EFD = 90°
∵ m∠FDE = 60°
∵ ED = 8 cm
- By using sine ratio to find FE
∵ sin(∠FDE) = 
∴ sin(60) = 
- Multiply both sides by 8
∴ FE = 8 sin(60°)
∴ FE = 
cm
In Δ AED
∵ AE = ED
∵ m∠D = 60°
- In any isosceles Δ if measure of an angle is 60, then the
triangle is equilateral Δ
∴ Δ AED is an equilateral Δ
∴ AD = 8 cm
∵ The pyramid has 4 identical triangular faces
∵ Area of each Δ = 
× base × height
∵ AD is the base and FE is the height
∴ Area of each Δ = × 8 ×
∴ Area of each Δ = 
cm²
∵ Surface area of the pyramid = Area of base + 4 area of a Δ
∵ Area of base = 8²
∴ Area of base = 64 cm²
∴ Surface area of the pyramid = 64 + 4 ×
∴ Surface area of the pyramid = 64 +
The surface area of the pyramid in exact form is 64 + cm²
The approximated surface area of the pyramid is 174.9 cm²
Answer:
5
Step-by-step explanation:
No. of Zeroes or Roots is equal to the degree of polynomial. Here, the degree of polynomial of the equation is 5. Hence, 5 Zeroes are possible.
Answer:
Ratio of George age to Carl's age to Alex age = 1 : 12 : 4
Step-by-step explanation:
Let the age of Alex = A years
Age of George = G years
And age of Carl = C years
"Alex is 12 years older than George"
A = G + 12 ------(1)
"Carl is 3 times older than Alex"
C = 3A
C = 3(G + 12)
C = 3G + 36 ------(2)
"Sum of their ages is 68 years"
A + G + C = 68 ------(3)
By substituting the values of A and G in equation (3)
G + 12 + G + 3G + 36 = 68
5G + 48 = 68
5G = 20
G = 4 years
From equation (1),
A = 4 + 12 = 16 years
From equation
C = 3(4) + 36
C = 12 + 36
C = 48 years
Ratio of their ages = G : C : A
= 4 : 48 : 16
= 1 : 12 : 4
I'm pretty sure it would be 40,000 because if i'm not mistaken you meant the nearest 10,000 since the number is 39,892.
