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3 years ago

James completely covered a square poster board using 68.2 in. of cardstock. Which measurement is

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

8 0

Answer:

17inches

Step-by-step explanation:

If James completely covered a square poster board using 68.2 in. of cardstock, this means that the perimeter of the square box is 68.2in.

To get the measurement if one side if the box we will use the formula for finding the perimeter of the square.

P = 4L

L is side length of the square box

68.2 = 4L

L = 68.2/4

L = 17.05in

.hence the measurement closest to one side of the square box is 17inches

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In ΔOPQ, o = 9.2 cm, p = 2.4 cm and ∠Q=37°. Find the length of q, to the nearest 10th of a centimeter.

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The length of q, to the nearest 10th of a centimeter is 7.6 cm.

Given in question,

In ΔOPQ,

o = 9.2 cm

p = 2.4 cm

∠Q = 37°

Cosine formula ⇒ cos θ = $\frac{o^{2}+p^{2}-q^{2} }{2op}$

Putting the values in equation,

cos 37 = $\frac{(9.2)^{2}+(2.4)^{2}-q^{2} }{2*9.2*2.4}$

0.799 = $\frac{84.64 + 5.76-q^{2} }{44.16}$

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$q^{2}$ = 90.4 - 32.28

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$q = \sqrt{58.12}$

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q = 7.6 cm (to nearest 10th)

Hence, length of q is 7.6 cm.

Learn more about length on:

brainly.com/question/8552546

#SPJ1

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