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
120/5 = x-2(x+3)
24= x^2+x-6
subtract 24 on both sides
this is so you know where the next stuff comes from
A b c
(1)x^2+(1)x-30 now its quadratic ( i prefer factoring but you can apply quadratic formula to it )
for factoring you multiply A by c and get -30 and see what multiplies to get -30 and adds to get 1 you get -5 and 6
you set that to x-5 and x+6 (this is only if A =1 )
you get x=5 and x=-6 due to the product property (x-5=0 and x+6=0 solve for x how i got it )
your answer can be negative so x is equal to 5
5*(5-2)*(5+3)
5*3* 8
L*W*H
width is 3 Height is 8
awnser is 8 give brainliest plox
Answer:
B. 37 units
Step-by-step explanation:
DE = 4x + 1
AB = 11x - 25
DE is a midsegment of the ∆ABC
Therefore:
DE = ½(AB) => Triangle Midsegment Theorem
4x + 1 = ½(11x - 25)
2(4x + 1) = 11x - 25
8x + 2 = 11x - 25
Collect like terms
8x - 11x = -2 - 25
-3x = -27
-3x/-3 = -27/-3
x = 9
✔️DE = 4x + 1
Plug in the value of x
DE = 4(9) + 1 = 36 + 1
DE = 37
X=6, and x= -3
20 characters
Answer:
4 rounds
Step-by-step explanation:
Because the distance around the school track is 1/4 mile, to achieve 1 mile or can also be written as 4/4 mile, he will have to run in total of:
1 / 1/4
= 1*4/1
= 4 rounds
Hope this help you :3
