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Nat2105 [25]
3 years ago
8

The graph of y=cos x° for -180

Mathematics
1 answer:
Kitty [74]3 years ago
6 0
The graph of the function y = cos x is continuous and extends on either side in symmetrical wave form. (ii) Since the graph of y = cos x intersects the x-axis at the origin and at points where x is an odd multiple of 90°, hence cos x is zero at x = (2n + 1)π2 where n = 0, ±1, ±2, ±3, ±4
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Initially a ship and a submarine are stationary at sea level, positioned 1.78km apart. The submarine then manoeuvres to position
poizon [28]
I’m assuming ‘dives further’ means to go directly down

the angle of elevation of the ship from the submarine is equal to the angle of depression of the submarine from the ship, if we assume the sea level is perpendicular to ‘directly down’.

let both of these angles to be = $ when the submarine is at A and ¥ when the submarine is at B (excuse the lack of easily accessible variables as keys)

then this become a simple trig problem:

A)

Let O be the position of of the ship, and C be the original position of the submarine.

therefore, not considering direction

|OC| = 1.78km = 1780m

|CA| = 45m

these are the adjacent and opposite sides of a right angled triangle.

But tan($) = opp/adj = |CA|/|OC| = 45/1780

therefore $ = arctan(45/1780) which is roughly 1.45 degrees,

B)

similarly, noting that |CB| = |CA| + |AB| = 45 + 62 = 107m


tan(¥) = 107/1780

¥ = arctan(107/1780) which is roughly 3.44 degrees






4 0
3 years ago
A basketball player makes 75% of her free throws. If she made 84 free throws this season, how many has she attempted?
myrzilka [38]
If you would like to know how many free throws did a basketball player attempted, you can calculate this using the following steps:

75% of x is 84
75% * x = 84
75/100 * x = 84
x = 84 * 100 / 75
x = 112 free throws

The correct result would be 1<span>12 free throws.</span>
8 0
4 years ago
ANSWER ASAP What is the volume of this right triangular prism? A. 180 cubic centimeters B. 120 cubic centimeters C. 90 cubic cen
Bess [88]

Volume of the right triangular prism 90 cube cm.

Step-by-step explanation:

Given,

In the right triangular prism

Length (l) = 6 cm

Base (b) = 5 cm

Height (h) = 6 cm

To find the volume of the right triangular prism

Formula

Volume of the right triangular prism = \frac{1}{2}bhl

Now,

Volume of the right triangular prism = \frac{1}{2}×6×6×5 cube cm

= 90 cube cm

5 0
3 years ago
What is the answer of 1 1/6 + 3 5/8<br><br> A. 5 ½<br> B. 5 ⁵⁄₁₄<br> C. 1 ⅙<br> D. 4 ¹⁹⁄₂₄
solmaris [256]
D. 4 19/24
(WORK BELOW)

5 0
3 years ago
Which statement is false?(1 point)
Sergio039 [100]
A.Fractions and decimals are not integers<span>. All whole </span>numbers<span> are</span>integers<span> (and all natural </span>numbers<span> are </span>integers<span>), but not all </span>integers<span>are whole </span>numbers<span> or natural </span>numbers<span>. For example, -5 is an </span>integer<span>but not a whole </span>number<span> or a natural </span>number<span>. 
B.</span><span>A </span>number<span> is </span>rational<span> if it can be represented as p q with p , q ∈ Z and q ≠ </span>0<span> . Any </span>number<span> which doesn't fulfill the above conditions is irrational. It can be represented as a ratio of two integers as well as ratio of itself and an irrational </span>number<span> such that </span>zero<span> is not dividend in any case
</span>C.<span>In mathematics, an </span>irrational number<span> is any </span>real number<span> that cannot be expressed as a ratio of integers. </span>Irrational numbers<span> cannot be represented as terminating or repeating decimals.
</span>D.<span>The correct answer is </span>rational<span> and </span>real numbers<span>, because all </span>rational numbers<span> are also </span>real<span>. Correct. The </span>number<span> is between integers, so it can't be an integer or a whole </span>number<span>. It's written as a ratio of two integers, so it's a </span>rational number<span> and not irrational.
</span>                                           Witch one do u think it is??

3 0
3 years ago
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