Answer:
- draw lines center to vertex
- 43.5 square inches
- 261 square inches
Step-by-step explanation:
<u>Part A</u>:
The area can be decomposed into triangles by drawing a line from the center to each vertex of the hexagon.
__
<u>Part B</u>:
The area of each triangle is given by the triangle area formula:
A = (1/2)bh
A = (1/2)(10 in)(8.7 in) = 43.5 in²
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<u>Part C</u>:
The area of the table top is 6 times the area of one triangle:
surface area = 6(43.5 in²) = 261 in²
It is a parallelogram!
Also you haven't really put any other info...
P=2l+2w
W=7+3l
So substitute into the original equation
P=2l + 2(7+3l)
78=2l +14 + 6l
-14 -14
—————-
64=8l
8=length
W=7+3l
= 7+3(8)
=7+24
=31
Check your work
Perimeter=8+8+31+31
=78
Hope this helps
Answer:
C
Step-by-step explanation:
When cut in half each side is the same as the other
<h2>
Translating Sentences into Equations</h2>
A key part of this is recognizing certain words to change into operations or numbers:
- <em>quotient</em> = divide
- <em>three more</em> = add 3
- <em>'a/the number' </em>= use a variable (in this case, it's <em>w</em>)
<h2>Solving the Question</h2>
We're given:
- Three more than the quotient of a number and 7 equals 6
⇒ 'the quotient of a number and 7' tells us we divide <em>w</em> by 7: - Three more than
equals 6
⇒ 'three more than' means we add 3 to the fraction:
equals 6
<h2>Answer</h2>
