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White raven [17]

3 years ago

8

The diagonal of kite Kite intersect at . p if mZkip =46 and mZkep =34 , find IKT.

1 answer:

natima [27]3 years ago

3 0

Someone already had this question and I had answered it here's my answer.
It would be 44 degrees because you are given the measure of KIP. Also all the angles at point p are equal to 90 degrees. You are looking for the measure of K in angle IKT (the letter in the middle is always the measure of the angle).KIP: K=? I= 46 P=90 K= 180-(46+90) K=44

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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.

8 0

3 years ago