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.
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<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
Answer:
slope intercept form: y=mx+b
y+3=2(x+5)
step 1: use distributive property
y+3=2(x)+2(5)
y+3=2x+10
step 2: subtract 3 on both sides to make y by itself
y+3=2x+10
-3 -3
final answer: y=2x+7
282% = 2.82 = 282/100 reduces to 141/50
Answer:
= 4n - 11
Step-by-step explanation:
These are the terms of an arithmetic sequence with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
d = - 3 - (- 7) = 1 - (- 3) = 5 - 1 = 4
and a₁ = - 7, hence
= - 7 + 4(n - 1) = - 7 + 4n - 4 = 4n - 11
Answer:
-$50/week
Step-by-step explanation:
Since you're spending money, the rate of change of the amount you have on hand is negative.
Thus, the rate of change of your cash-on-hand is -$50/week.
