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Pani-rosa [81]
4 years ago
13

The period of 2 sin x cos x is A. 4 pi 2 B. 2 pi C. 4 pi D. pi

Mathematics
1 answer:
MatroZZZ [7]4 years ago
3 0
D is the correct answer. Hope this helps!!!!
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I WILL GIVE YOU 40 POINTS AND THE HIGHEST ANSWER. YOU HAVE TO DO WHAT THE STEPS SAYS IN ORDER TO GET EVERYTHING
Marat540 [252]
This is a 30-60-90 triangle, in which the side opposite of the 90 degrees is the longest side (2), the side opposite of the 60 degrees is the √3 (2√3 in this case), and the last side (opposite of the 30 degrees) is the (1)

2√3/√3 = 2

So the side opposite  of the 30° = 2

a) the width is 2 miles

The length of the side walk is 2(a)
a = 2

2(2) = 4

b) The length of the sidewalk is 4 miles

hope this helps
5 0
3 years ago
Jack wanted to measure the weight of his luggage at the airport before departure. He was surprised to see that it weighed 23.6 k
Alex

Answer:

25.7 is how much his luggage weighs.

Step-by-step explanation:

4 0
3 years ago
Eight sided dice can be described as two square based pyramids stuck together at
kobusy [5.1K]
It costs $3.63 more for the gold die than the gold plated die.

The volume of each half of the die is given by the formula

V=1/3s³.

This means the total volume is V = 2(1/3s³) = 2(1/3(2³)) = 16/3 = 5.33 mm³.

For the solid gold die, we know that it weighs 0.02g per mm³:

5.33(0.02) = 0.1066g

Gold costs $40.38 per gram:
40.38(0.1066) = $4.30

For the plastic die, plastic weighs 0.01 g per mm³:
0.01(5.33) = 0.0533g

Plastic costs $10 per gram:
0.0533(10) = 0.533 ≈ $0.54.

We also need to find the surface area, as it will be painted.  Each face is an equilateral triangle; the area of a triangle is given by the formula

A = 1/2bh

We need to use the Pythagorean theorem to find the height.  The height will be one leg and 1/2 of the base will be the other; the slanted side will be the hypotenuse:

h² + (1/2(2))² = 2²
h² + 1² = 2²
h² + 1 = 4
h² = 3
h = √3

The area of the triangle would then be A = 1/2bh = 1/2(2)(√3) = √3.  There are 8 such faces on the die, so the total surface area would be 8√3 = 13.86mm².

Paint costs $0.01 per mm²:
13.86(0.01) = 0.1386 ≈ $0.14

Together the cost for the plastic is 0.14+0.53 = $0.67.

The difference between it and the cost for the gold die is 4.30 - 0.67 = $3.63.
5 0
3 years ago
The Big Wheel at a theme park has a diameter of 5m. How far would you travel in one complete revolution of the wheel?
vampirchik [111]

Answer:

15.71m

Step-by-step explanation:

One revolution is equal to the circumference of the wheel

Circumference = πD

22/7 X 5 = 15.71m

6 0
3 years ago
A bicycle has a listed price of $607.99 before tax. If the sales tax rate is 8.5%, find the total cost of the bicycle with sales
goldfiish [28.3K]
607,99*1,085=659,66915 $ is the total cost
4 0
3 years ago
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