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vova2212 [387]
4 years ago
15

Which sum or difference identity could be used to prove that sin(π + q) = -sin q

Mathematics
2 answers:
blondinia [14]4 years ago
8 0

Answer:

sinπcosq + cosπsinq

Step-by-step explanation:

This was the answer on edg

i'm just as clueless so I'm trying to help from my mistakes

yan [13]4 years ago
4 0

Answer:

we should know that :

sin ( a + b ) = sin a * cos b + sin b cos a

For the given equation :

sin (π + q) = sin π * cos q + sin q * cos π

sin π = zero and cos π = -1

∴ sin (π + q) = 0 * cos q + sin q * (-1) = - sin q

<u>Another solution:</u>

The angle (π + q) lies in the third quarter ⇒ (1)

(π + q) and (-q) are supplementary angles ⇒ (2)

From (1) and (2)

sin(π + q) = -sin q

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A wooden fruit crate will hold 62 pounds of fruit. The crate already has 18 pounds of fruit inside of it. Which inequality repre
vichka [17]

Answer:

p ≤ 44 pounds is the required inequality.

Step-by-step explanation:

The total capacity of the fruit crate =  62 pounds

The already filled capacity of the crate  = 18 pounds

Let p the pounds of fruit, the crate can hold.

Now, the remaining Capacity = Total Capacity - Already filled capacity

                                                   = 62 pounds - 18 pounds

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Now, the amount of fruit that can be further added  into the fruit crate should be maximum of 44 pounds.

Hence, p ≤ 44 pounds is the required inequality.

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4 years ago
A 35 - m tall building casts a shadow. the distance from the top of the building to the tip of the shadow is 36 m . find the len
Nookie1986 [14]
The illustration of the program is shown in the figure. The missing value is the length of the shadow, that is the base of the right triangle. Since the figure is a right triangle, we can use the pythagorean theorems

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a = √(c^2 - b^2)
a = √(36^2 - 35^2)\
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4 years ago
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kicyunya [14]

Answer:

if the order of the digit matters, we have:

options: 1, 2, 3, 4.

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First selection: we have 4 options

Second selection: we have 3 options (because we already selected one in the first selection)

The total number of elements in the sample space, or the total number of combinations, is equal to the product of the number of options in each selection, this is:

P = 4*3 = 12

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Answer:

4

Step-by-step explanation:

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y=4

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Basile [38]

Answer:

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Step-by-step explanation:

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3 years ago
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