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3 years ago

13

What are all points between two given points, including the two points? A) angle B) line segment C) parallel lines D) perpendicu

lar line

1 answer:

WINSTONCH [101]3 years ago

7 0

Your answer is b. line segment

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3 years ago

Evaluate:45/60+12/60-4/60

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3 years ago

Find the surface area of the figure. For calculations involving , give both the exact value and an approximation to the nearest

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3 years ago

2. Use the following picture for this question:

Art [367]

Answer:

a. $24\sqrt{3}$ and 41.6

b. 52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is $\sqrt{3}$

Thus, we can write $Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}$

Approximate value (rounded to nearest tenth): $24\sqrt{3} =41.6$

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

$Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1$

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3 years ago

Where common multiples between three and five and one and 50

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300 is a multiple of 3,5,1, and 50

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3 years ago