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Anna35 [415]
3 years ago
14

What is the definition of csc θ ?

Mathematics
1 answer:
docker41 [41]3 years ago
7 0
<span>The trigonometric function cosecant is written as csc θ. For acute angles, csc θ can be found by the SOHCAHTOA definition, shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = csc x is a periodic function with period 2π.</span>
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The diagram below shows a shaded parallelogram drawn inside a rectangle. Using Pythagoras, find the hypotenuse of triangle A and
Julli [10]

Answer: 5.9 cm for both triangles.

Step-by-step explanation:

Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 3^2 + 5^2  

c^2 = 9+25

c^2 = 34

c = √34

c = 5.9 cm

Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.

Feel free to ask for more if needed or if you did not understand something.  

5 0
2 years ago
A grocery store will only accept yellow onions that are at least 2.75 in. In diameter. A grower has a crop of onions with diamet
Paraphin [41]

Answer:

Step-by-step explanation:

Calculate z-score firstly

z-score = (x-mean)/SD = (2.75-2.5)/0.25 = 0.25/0.25 = 1

P( x greater than or equal to 2.75) = P(z greater than or equal to 1)

= 1 - p(z <1)

P(z<1) from table = 0.84134

1-p(z<1) = 0.15866 or 15.866%

4 0
3 years ago
a game consists of randomly choosing a bag (labelled 1, 2 or 3) out of a choice of 100, and then again randomly, picking a ball
Anton [14]

Answer:

hello your question has some missing information attached below is the missing information

answer :  112 black balls

Step-by-step explanation:

Given data:

Each bag contains ; 10 balls

Total number of ball = 100 balls

<u>first: calculate the number of Black balls to be picked from the three bags</u>

From bag 1 = 0.4 * 0.35 * 10 = 1.4 balls

From bag 2 =  0.8 * 0.45 * 10 = 3.6 balls

From bag 3 = 0.3 * 0.2 * 10 = 0.6 ball

Total black balls picked = 5.6

∴ percentage of black balls picked given that each bag contains 10

5.6 / 10 * Total balls available  =  56 balls = 56% of 100 balls

Hence If the player plays this game 200 times the number of black balls he will pick = 56% * 200 =  112 balls

4 0
3 years ago
Consider two countries, A and B, whose respective industries produce goods A and B. Total world output of the good is given by Q
castortr0y [4]

Answer: hello your question is poorly written attached below is the complete question

answer :

a) 31.5

b) 24.5

Step-by-step explanation:

Total world output of good given ( Q ) = qA + qB

world demand ( P ) = 100 - Q

cost function for country A = cA (qA) = 8qA

cost function of country B = cB(qB) = 3qB

total world emission = 0.5Q

emission per unit good = 0.5

<u>a) Determine total world emissions when both countries compete in a Cournot fashion</u>

Q = 63

therefore Total world emission = 0.5 ( Q )

                                                    = 0.5 ( 63 ) = 31.5

attached below is the detailed solution

<u>b) Determine the total world emissions after Country A enacts a carbon tax</u>

Q = 49

Therefore Total world emission after tax = 0.5 ( Q )

                                                                    = 0.5 ( 49 ) = 24.5

attached below is the detailed solution

5 0
2 years ago
on monday, it rained 1 1/4 inches. On Tuesday, it rained 3/5 inch. How much more did it rain on Monday than on Tuesday?
34kurt
To find out how much more it rained, you subtract 1 1/4 or 1.25 and 3/5.
So you get 1.25-.6, which is .65 or 13/20 inches.
Hope this helps. 
7 0
3 years ago
Read 2 more answers
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