Answer:
14.7cm^3
Step-by-step explanation:
The volume formula for a pyramid is l·w·h/3 or BH/3
The base of the height is 6.9 and the height is 6.4
(6.9)(6.4)=44.16
44.16/3=14.72
14.72 rounded to the nearest tenth is 14.7cm^3
Hope this helps! :)
Mary's house is approximately 49.73 miles from her grandmother's house.
The distances the three drove were;
Mary drove for 49.73 miles, Theo drove 50 miles and Nancy drove 53.299 miles.
Explanation:
- The given triangle has a 13 mile long adjacent side, a 48 mile long opposite side and the distance of Mary's route is the hypotenuse. As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
- Assume the hypotenuse of the triangle measures x miles. According to Pythagoras theorem, x = √(13² + 48²) , x = √169 + 2,304 x = √2,473 = 49.729. Rounding this off, we get Mary's route was 49.73 miles long.
- Nancy drove √2,840 miles = 53.2916 miles.
- So Mary drove the shortest distance of 49.73 miles, second shortest was Theo who drove for 50 miles and the longest was Nancy who drove for 53.299 miles.
Answer:
5) 35
6) 24
7) 28
8) 67
9) 20
10) 11
11) 7
12) 21
Step-by-step explanation:
Looks like you get most of the rules involved so I'll just write the steps
5) x+4x+5 = 180
5x + 5 = 180
5x = 175
x = 35
6) 6x = 144
x = 24
7) x+27 = 2x-1
27 = x-1
28 = x
8) 63+2x-17 = 180
2x + 46 = 180
2x = 134
x = 67
9) 9x-28 = 7x +12
2x = 40
x = 20
10) 5x+7 = 62
5x=55
x=11
11) 41=7x-8]49=7x
7=x
12) 114=6x-12
126=6x
21 = x
If you wanna check it just plug in the values
That's about it
The distributive property: a(b + c) = ab + ac
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
GCF(18, 24) = 6
18 = 6 · 3
24 = 6 · 4
18 + 24 = 6 · 3 + 6 · 4 = 6(3 + 4)