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vesna_86 [32]
2 years ago
8

Exploring the graph of y equals cosine Theta​

Mathematics
1 answer:
irga5000 [103]2 years ago
8 0

Answer:  see below

<u>Step-by-step explanation:</u>

The coordinates on the Unit Circle are (cos, sin). Since we are focused on cosine, we only need to focus on the left side of the coordinate. The cosine value (left side) will be the y-value of the function y = cos x

Use the quadrangles (angles on the axes) to represent the x-values of the function y = cos x.

Quadrangles are: 0°, 90°, 180°, 270°, 360°  <em>(360° = 0°)</em>

Together, the coordinates will be as follow:

\boxed{\begin{array}{c||c|c||c}\underline{(cos,sin)}&\underline{x=angle}&\underline{y=cosx}&\underline{\quad (x,y)\quad}\\(1,0)&0^o&1&(0^o,1)\\(0,1)&90^o&0&(90^o,0)\\(-1,0)&180^o&-1&(180^o,-1)\\(0,-1)&270^o&0&(270^o,0)\\(1,0)&360^o&1&(360^o,1)\end{array}}

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Semenov [28]
I am able to help you but not give you the answer.

Step By Step Explanation- Find the Area to the Triangle, After you find the answer to that, Find the area to the square then subtract the Square by the triangle and you get your answer!
8 0
3 years ago
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Plsss help it also detects if it’s right or wrong
Masteriza [31]

Answer:

3/8

Step-by-step explanation:

Looking at the bottom row, there are 8 possible outcomes

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

There are 3 that have exactly 2 heads HHT, HTH, THH,

That means the probability is

P( exactly 2 heads) = number outcomes with exactly 2 heads/total outcomes

                                 =3/8

7 0
3 years ago
During the half time of a basketball game, a sling shot launches T-shirts at the crowd. The T-shirt is launched with an initial
kumpel [21]

Step-by-step explanation:

The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :

f(x) = -12x^2 + 60x + 5 ....(1)

(a) For maximum height, put \dfrac{df(x)}{dt}=0

So,

\dfrac{ d(-12x^2 + 60x + 5)}{dt}=-24x+60

Now put,

-24x+60=0\\\\x=2.5\ s

So, the time taken for the T-shirt to reach maximum height is 2.5 seconds.

(b) Put x = 2.5 s in equation (1)

f(x=2.5) = -12(2.5)^2 + 60(2.5) + 5\\\\f(x)=80\ \text{feet}                

8 0
3 years ago
43.
aleksklad [387]

Answer:

4.12 kg

Step-by-step explanation:

Regular cakes:

1 dozen normal sponge cakes: 264 g plain flour

Vegetarian cakes:

1 dozen cakes: 264 g plain flour

4 eggs are replaced by 4 * 30 g of flour = 120 g flour

total flour for 1 dozen vegetarian cakes = 264 g + 120 g = 384 g

Proportion for regular cakes:

12 cakes to 264 g flour = 100 cakes to x grams flour

12/264 = 100/x

12x = 26400

x = 2200

2200 g flour for 100 regular cakes

Proportion for vegetarian cakes:

12 cakes to 384 g flour = 60 cakes to y grams flour

12/384 = 60/y

12y = 384 * 60

12y = 23040

y = 1920

1920 g flour for 60 vegetarian cakes

Total flour needed:

2200 g + 1920 g = 4120 g

4120 g * 1 kg/(1000 g) = 4.12 kg

Answer: 4.12 kg

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3 years ago
How many different possible meal outcomes are there if you're having one item each from the main course, sides, and drink menu?
lyudmila [28]
Answer: 64
Explanation: 4^3
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2 years ago
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