Answer:
19 ft³
Step-by-step explanation:
Volume of the pyramid:
V = 1/3 · B · h
B = 8 ft²
tan 30° = height / 7√3
1/√3 = height / 7√3
height = 7 ft
V = 1/3 · 8 · 7 = 18.67 ft³ ≈ 19 ft³
Answer ) 19 ft³
1. The missing proof is Distributive Property
2. The proof should be Commutative Property
3. That's the Associative Property of Multiplication
4. This one is Associative Property of Addition
5. The first one is Commutative Property and second one is Addition.
Height of the flagpole before it broke was 32 m
Step-by-step explanation:
- Step 1: This forms a right angled triangle with height 7 m and base 24 m. Find the hypotenuse using the Pythagoras Theorem.
Hypotenuse² = Base² + Height²
= 24² + 7² = 576 + 49 = 625
∴ Hypotenuse = √625 = 25 m
- Step 2: Find the height of the flagpole before it broke.
Since the stuck 7 m and the remaining part which is the hypotenuse together make the flagpole.
⇒ Height = 7 m + 25 m = 32 m
For this case, we must find the quadratic equation equivalent to:
By definition we have to:
So:
So, we have:
Equal signs add up and the same sign is placed.
Different signs are subtracted and the sign of the major is placed.
Answer:
4 side = 72 ft
2 of the sides = 16 ft
16 x 2 = 32
72 - 32 = 40
40 / 2 = 20
20 ft