Answer:
The weights of each cylinder and prism are 3 and 4 ounces, respectively.
Step-by-step explanation:
Let be 
and 
the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:
i) <em>She found that 4 cylinders and 5 prisms weigh 32 ounces:</em>
(Eq. 1)
ii) <em>And that 1 cylinder and 8 prisms weigh 35 ounces:</em>
(Eq. 2)
Now we solve the system of linear equations algebraically:
From (Eq. 2):
(Eq. 2) is (Eq. 1):
From (Eq. 2):
The weights of each cylinder and prism are 3 and 4 ounces, respectively.
Answer:
35
Step-by-step explanation:
40=1/2(115-x)
80=115-x
-35=-x
x=35
Answer:
1 = 44° (Opposite angles>
2 = 77° (By Angle sum property of a triangle)
3 = 82° ('' '' ' '' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ''')
Step-by-step explanation:
ab
= (5⁹⁹ * 2⁹⁸) * (5⁷² * 4³⁸)
= 2⁹⁸ * 2⁷⁶ * 5⁹⁹ * 5⁷²
= 2¹⁷⁴ * 5¹⁷¹
= 2³ * (2¹⁷¹ * 5¹⁷¹).
The 2¹⁷¹ * 5¹⁷¹ will give 171 ending zeroes as 2 * 5 = 10.
And there is a 8 infront as 2³ = 8.
Hence altogether there are 171 + 1 = 172 digits.
