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3 years ago

The following list has a median of 43. What would be the new median if 21 was added to the list?

Mathematics

1 answer:

miskamm [114]3 years ago

6 0

Answer:

34.5

Step-by-step explanation:

21,23,27,28, 31, 38, 48, 50, 52, 57

31+38=69

69/2=34.5

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Karen has gallons of apple juice and gallons of orange juice in her refrigerator. How many gallons of juice does Karen have alto

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you deposit $6,700 in a money market account that pays an annual interest of 3.3% the interest is compounded quarterly how much

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3 years ago

Construction paper cost $0.10 per square inch. How much will Susan spend to make this figure out of construction paper?

AfilCa [17]

The will spend $33.60 (option C) to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.

Step-by-step explanation:

The given is,

Construction paper cost $0.10 per square inch

Pyramid diagram with dimensions

Step:1

Formula to calculate the area of pyramid,

$Area, A = lw+l\sqrt{(\frac{w}{2}) ^{2} + h^{2} } +w \sqrt {(\frac {l} {2}) ^{2} + h^{2} }$ ..............(1)

Where,

l - Base length

w - Base width

h - Height of pyramid

From given,

l = 12 inches

w = 12 inches

For height of pyramid,

By using Pythagorean theorem,

$Hypotenuse^{2} = Base^{2} + Height ^{2}$ .................(2)

For right angle triangle,

Base = $\frac{12}{2}$ = 6 inches

Equation (2) becomes,

$8^{2} = 6^{2} + Height^{2}$

$Height^{2} = 8^{2} - 6^{2}$

$Height^{2} = 64 -36 = 28$

$Height = \sqrt{28}$

Height = 5.2915 inches

h - 5.2915 inches

Equation (1) becomes,

$A = (12)(12)+(12)\sqrt{(\frac{12}{2}) ^{2} + 5.2915^{2} } +(12 )\sqrt {(\frac {12} {2}) ^{2} + 5.2915^{2} }$

$= 144+(12)\sqrt{(36+27.999)} +(12)\sqrt{(36 + 27.999)}$

$= 144+(12)\sqrt{63.999}+(12)\sqrt{63.999}$

$= 144+(12)(7.9999)+(12)(7.9999)$

$=144+95.999+95.999$

$=335.998$

≅ 336 square inches

Where,

$0.10 per square inch ( from given)

Paper cost of total figure = 336 square inches

= 336 × 0.10

= $ 33.60

Result:

The will spend $33.60 to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.

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