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Korolek [52]
3 years ago
9

Determine the sign of cos pi/3 without using a calculator.

Mathematics
1 answer:
andre [41]3 years ago
8 0
Pi/3 is in the first quadrant, and all trigonometric functions are positive in the first quadrant,
Therefore, cos pi/3 is positive.

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A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.
Mariulka [41]

ANSWER

672cm²

EXPLANATION

The area of a regular hexagon is given by the formula,

Area =  \frac{1}{2} ap

where a=14cm is the apothem and p=96cm is the perimeter of the regular hexagon.

We substitute the values into the formula,

Area =  \frac{1}{2}  \times 14 \times 96 {cm}^{2}

Area =672 {cm}^{2}

Therefore the approximate area of the hexagon is 672cm²

8 0
3 years ago
Read 2 more answers
A pure substance that is made of only one kind of atom is called _________.
mariarad [96]
A pure substance that is made of only one kind of atom is called an element. 

An element is a pure substance, which means it is made up of only ONE kind of atom. 

6 0
3 years ago
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At a 3​-mile ​cross-country race, an athlete runs 2 miles at 6 mph and 1 mile at 12 mph. What is the​ athlete's average​ speed?
Tom [10]

Answer: the average speed is 7.5 mph or at least im pretty sure

Step-by-step explanation:

This is because if you make the 2 miles at 6 mph to 1 mile at 3 mph then you get 1 mile at 3mph and 1 mile at 12 mph. now that you have the unit rates of these you can add them. 1 + 1 = 2 miles and 3 + 12 = 15 mph now divide this by two and you get 7.5 mph per mile.

I hope this helped, if it did could you give me a good rating? lol

8 0
3 years ago
If a triangle has side 6 feet and 9 feet and perimeter is 23 feet , how long is the third side ?
tiny-mole [99]

The perimeter of a triangle is found by adding all the three sides.


Let's call the third side "x"

So,

6+9+x = 23

15+x = 23

x = 8

8 0
3 years ago
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Simplify (-56) = 7.<br> o<br> O A-8<br> O B. 9<br> O a -9<br> O<br> D. 8
Sever21 [200]

Answer:

Step-by-step explanation:

o=-8

-56=7*(-8)=-56

3 0
3 years ago
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