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3 years ago

How do you know if a problem is an arithmetic equation? and what does it look like on a graph?

Mathematics

1 answer:

Brut [27]3 years ago

3 0

How do you know if a problem is an arithmetic equation?
Ans: You have a pattern in your sequence.

ex :- 1,2,3,4,5,6,

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Sin(60-theta)sin(60+theta)

ehidna [41]

Step-by-step explanation:

$\sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\$

from difference of two squares:

${ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}$

therefore:

$= \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta$

factorise out ¾ :

$= \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}$

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3 years ago

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A kite has a height of 36 inches and a width of 30 inches. Explain how to use the area formula for a triangle to find the area o

mote1985 [20]

Height of the kite is = 36 inches.

Width of the kite is = 30 inches

One of the ways to find the area is to draw a vertical line to break the kite into two equal triangles. Mark the base as 36 inches and height as 15 inches .

Now we will use the formula $area=\frac{1}{2}*base*height$ to find the area of each triangle. Then we will add both the areas to find the area of the kite.

Area of 1 triangle = $\frac{1}{2}*36*15$ = 270 square inches

Area of the 2nd triangle is also = 270 square inches

Hence, area of the kite = 270+270 = 540 square inches

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3 years ago

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Find the measure of one interior angel if a regular 23-gon

Anit [1.1K]

The 23 exterior angles add to 360. The interior angles are supplements of the exterior angles.

180 - 360/23 = 3780 / 23 = 164.3478...

Answer: a

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3 years ago

100% & There are 16 girls and 18 boys in a class. The teacher chooses a student's name at What is the probabilit

Mariulka [41]

Answer:a

Step-by-step explanation:

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3 years ago

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The following data was collected from the manufacturing of an auto component. It represents the diameter (in mm) of that compone

kari74 [83]

Answer:

14.6

Step-by-step explanation:

(A). STEP ONE: Calculate the mean

(1). Row one = (10 + 12 + 12 + 14 ) = 48/4 = 12.

(2). Row Two: (12 + 11 + 13 + 16 ) = 52/4 = 13.

(3). Row three : (11 + 13 + 14 + 14)/4 = 13.

(4). Row four: (11 + 10 + 7 + 8)/4 = 36/4 = 9.

(5). Row five: (13 +12 + 14 + 13)/4 = 52/4 = 13.

(B). STEP TWO:

- determine the maximum and minimum value for each row.

- for each row, maximum - minimum.

Maximum values for each row:

Row one = 14, row two= 16, row three = 14, row four = 11 and row five = 14.

Minimum value for each row:

Row one = 10, row two = 11, row three = 11, row four =7 and row five = 12.

DIFFERENCES in each row :

row one = 14 - 10 = 4, row two = 16 - 11 = 5, row three = 14 - 11 = 3, row four = 11 - 7 = 4 and row five = 14 -12 = 2.

(C). STEP THREE: Calculate the mean of all the rows = 60/5 = 12.

(D). STEP FOUR : Calculate the Average Range = 18/5 = 3.6.

(E). STEP FIVE : Calculate the UCL.

A = Average rage × 0.729 = 3.6 × 0.729.

B = overall mean = 12.

UCL = A + B = 14.6.

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3 years ago