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sukhopar [10]
2 years ago
9

Why are there two sine ratios, two cosine rations, and two tangent ratios for any right triangle?

Mathematics
1 answer:
Marina86 [1]2 years ago
5 0
You could take it from either of the non-right angles.
To one angle, which side is opposite and which is adjacent is different than to the other angle. This is also why sin(x) = cos(90-x) and cos(x) = sin(90-x).
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Describe in words the relationship between the length, width and height of a cuboid and its volume. ​
Sergio [31]

Volume = length * width * height

Each asterisk * refers to the multiplication symbol

The volume of the cube is equal to the length times width times height

---------------------

Example:

Consider a cube that has length, width and height each equal to 4 cm

Volume = length * width * height

Volume = (4 cm) * (4 cm) * (4 cm)

Volume = (4*4*4) cubic cm

Volume = 64 cubic cm

----------------------

Another example:

We have a rectangular prism that has the following dimensions

length = 4 ft

width = 3 ft

height = 5 ft

Computing the volume gets us:

Volume = length * width * height

Volume = (4 ft) * (3 ft) * (5 ft)

Volume = (4*3*5) cubic ft

Volume = 60 cubic ft

3 0
1 year ago
If two cards are randomly chosen from a standard deck, what is the probability that a 6 is chosen, replaced, and another 6 is ch
lord [1]

|\Omega|=52^2=2704\\ |A|=4^2=16\\\\ P(A)=\dfrac{16}{2704}\Rightarrow{\text{B}}

7 0
2 years ago
HELP, HELP PLEASE I NEED HELP!
bogdanovich [222]

Answer:

120 inches

Step-by-step explanation:

8 times 15 is 120

7 0
2 years ago
Read 2 more answers
A water balloon is 5 feet above the ground when Sally launches it into the air. Use the quadratic equation 0 = -t2 + 4t + 5 to f
Alborosie

Answer:

2-sqrt14/2, 2+sqrt13/2.

Step-by-step explanation:

What you do is you have to do the quadratic equation like it says in the problem.

x=  −b± sqrtb^2 −4ac /2a .

a=-2, b=4, c=5.

x=-4±sqrt(4)^2-4(-2)(5)/2(-2).

x=-4±sqrt16+40/-4.

x=-4±2sqrt14/-2.

2-sqrt14/2, 2+sqrt13/2. is your answer once you have done everything.

​  

​

6 0
2 years ago
A given population proportion is .25. What is the probability of getting each of the following sample proportions
anyanavicka [17]

This question is incomplete, the complete question is;

A given population proportion is .25. What is the probability of getting each of the following sample proportions

a) n = 110 and = p^ ≤ 0.21, prob = ?

b) n = 33 and p^ > 0.24, prob = ?

Round all z values to 2 decimal places. Round all intermediate calculation and answers to 4 decimal places.)

Answer:

a) the probability of getting the sample proportion is 0.1660

b) the probability of getting the sample proportion is 0.5517

Step-by-step explanation:

Given the data in the questions

a)

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 110

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 110 ) √( 0.1875 / 110 ) = 0.0413

Now, P( p^ ≤ 0.21 )

= P[ (( p^ - μ ) /S.D) < (( 0.21 - μ ) / S.D)

= P[ Z < ( 0.21 - 0.25 ) / 0.0413)

= P[ Z < -0.04 / 0.0413]

= P[ Z < -0.97 ]

from z-score table

P( X ≤ 0.21 ) = 0.1660

Therefore, the probability of getting the sample proportion is 0.1660

b)

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 33

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 33 ) = √( 0.1875 / 33 ) = 0.0754

Now, P( p^ > 0.24 )  

= P[ (( p^ - μ ) /S.D) > (( 0.24 - μ ) / S.D)

= P[ Z > ( 0.24 - 0.25 ) / 0.0754 )

= P[ Z > -0.01 / 0.0754  ]

= P[ Z > -0.13 ]

= 1 - P[ Z < -0.13 ]

from z-score table

{P[ Z < -0.13 ] = 0.4483}

1 - 0.4483

P( p^ > 0.24 )  = 0.5517

Therefore, the probability of getting the sample proportion is 0.5517

6 0
2 years ago
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