Answer:
Length of sides of poster = 2 Ft
Length of sides of box = 2.41 Ft
Since the box has a longer side than the poster, the poster will lie flat when placed in the box.
Step-by-step explanation:
In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:
Area of poster = 4 square feet
Area of poster = (Length)²
4 = (Length)²
∴ Length = √(4)
Length of poster = 2 Ft
Volume of box = 14 cubic feet
Volume of box = (Length)³
14 = (Length)³
∴ Length = ∛(14)
Length = 2.41 Ft
∴ Length of sides of poster = 2 Ft
Length of sides of box = 2.41 Ft
Since the box has a longer side than the poster, the poster will lie flat when placed in the box.
Answer:
19
Step-by-step explanation:
7(<u>2 + 3</u>) − 4 · 2² ← like that right so
<u>parenthesis first add the numbers up↓</u>
7(5) - <u>4</u> · 2²
write number in exponential form↓
<u>7(5)</u> - 2²· 2²
multiply↓
35 - <u>2² · 2²</u>
calculate the product↓
35 - <u>2⁴</u>
evaluate the power↓
35-16
then subtract↓
19
Answer:
<u><em>Question 10.</em></u>
Length of the side of the square = 
By Pythagoras' Theorem,
Hypotenuse = 
(H > 0)
= 29 m
Ans: 29 m
<u><em>Question 11.</em></u>
By Pythagoras' Theorem,
Length of longer side of 42 km = 42- 
(L > 0)
= 32.050 km (5 s.f.)
By Pythagoras' Theorem,
Length of the unknown side = 
(L > 0)
= 35.4 km (3 s.f.)
Ans: 35 km
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Answer:
Step-by-step explanation:
Factor 
<em>good luck, hope this helps :)</em>
Answer:
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