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koban [17]
3 years ago
7

Any suggestions or answers

Mathematics
1 answer:
FromTheMoon [43]3 years ago
6 0

(a) 2(2a^2-31)

(b) (2x+3)x(4x-5)

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What is the value of cos θ given that (-2, 9) is a point on the terminal side of θ?
liq [111]

Answer:

a)  cosθ  = \frac{-2\sqrt{85} }{85}

Step-by-step explanation:

<u><em> Step(i):</em></u>-

Given point ( x , y ) = ( - 2 , 3 )

We know that the polar co-ordinates

  x = r cos θ and y = r sinθ

where   r = \sqrt{x^{2} +y^{2} }  

            r = \sqrt{(-2)^{2} +(9)^{2} } = \sqrt{4+81} = \sqrt{85}

<u><em>Step(ii)</em></u>:-

           x = r cos θ

          cosθ   = \frac{x}{r}

      cosθ  = \frac{-2}{\sqrt{85} } = \frac{-2}{\sqrt{85} } X \frac{\sqrt{85} }{\sqrt{85} }

       cosθ  = \frac{-2\sqrt{85} }{85}

3 0
3 years ago
In reciprocal is the denominator one unit
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Not always if you're saying it will always be something like 1/2 becomes 2/1 with a unit of one. It's just flipped, so 2/6 will be 6/2, 4/5 becomes 5/4, 22/16 becomes 16/22 etc. That is all there is to it. Make sure you simplify your answers.
5 0
3 years ago
What does the Principle of Superposition tell us about relative ages of the strata in the cross-sections you were looking at? Ol
iogann1982 [59]

Answer:

1. The Principle of superposition states that a strata of rock is younger than the one over which it is laid.

2. The intrusion of the younger rock by the principle of cross-cutting relationship

3. The intrusion igneous rock arrived after the rock it is found in had already been in place and is stable.

Step-by-step explanation:

In geology, the Principle of superposition states that, in its originally laid down state, a strata sequence consists of older rocks over which younger rocks are laid. That is, a stratum of rock is younger than the stratum upon which it rests.

The principle of cross cutting relationships in a geologic intrusion occurrence, the feature which intrudes or cut across another feature is always than the feature it cuts across.

The reason is that based on the geologic time frame, the rock 1 which ws cut across by rock 2 was already in the geologic zone in a more steady state than rock , therefore it is older than the cutting rock 2.

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3 years ago
Connor bought some pears.He used 2/6 of the pears to make dessert.He gave 1/4 of the remainder to his neighbor.What fraction of
Xelga [282]
1/6 portion of pears to the neighbor
3 0
3 years ago
a rectangular prism has base edge lengths of 6" and 8". The base edge lengths of a right rectangular prism are 8" and 6". The ba
FromTheMoon [43]

Answer:

Step-by-step explanation:

The heights of neither the rectangular prism nor the triangular prism are given, so we don't know the volume of either.

If h is the height of the rectangular prism, then its volume is

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if the height of the triangular prism is h/2, then its volume is

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So we know the volumes are the same -- but we don't know what that volume is.

8 0
3 years ago
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