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Effectus [21]
2 years ago
8

Distance from the point to 0, so it can never be

Mathematics
1 answer:
Volgvan2 years ago
5 0

distance from the point to O, so it can never be negative so answer is

b.oppsite

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Verify the following trig identities​.
bagirrra123 [75]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• 1 + cot² x = csc²x and csc x = \frac{1}{sinx}

• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Consider the left side

sin²Θ( 1 + cot²Θ )

= sin²Θ × csc²Θ

= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified

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

Consider the left side

cos²Θ - sin²Θ

= cos²Θ - (1 - cos²Θ)

= cos²Θ - 1 + cos²Θ

= 2cos²Θ - 1 = right side ⇒ verified

3 0
3 years ago
Please help The perimeter of a rectangular shape electronic keyboard is 14 ft. Its width is 3 ft longer than its depth
kipiarov [429]

Answer:

Width = 6ft Area = 54 sq ft

Step-by-step explanation:

First, re-read the problem until you understand it and can put it into your own words.  I re-wrote it like this:  "Find the area of a rectangle by first finding the length (L) and the width (W)."   [note that I added "find L and W," but that is how I'm going to solve the problem;  I could also have said that we will need the formulas, P=2L+2W and A=LW, but you knew that already, right?).

 

Translate the problem:

 "The length of a rectangle is 3 ft longer than its width"      means

         L                             =    3             +         W                 (eq1)

 "the perimeter of the rectangle is 30 ft"     means

            P                                = 30                      (eq2)

 

So, now the math is easy, just find L and W so we can compute the area:

     P = 30 = 2L + 2W                         (eq3; from eq2 and the formula for P)

          30 = 2(3+W)  +  2W              (use eq1 to substitute for L)

          30 = 6 + 2W   + 2W              (distribute)

           30 = 6 + 4W                       (collect terms)

            24 = 4W                        (subtract 6 from both sides)

            6 ft = W                         (divide both sides by 4)

 

Use the easiest equation (either eq1 or else eq3) to find L:

          L = 3 + W        (eq1)

          L = 3 + 6

          L = 9 ft

What is the area (A)?

          A = L*W

          A = (9 ft)*(6 ft)

          A = 54 sq ft

3 0
2 years ago
F(x)= 9-x^2, x ≥ 0. f^-1(x)=??
julia-pushkina [17]
y=9-x^{2},\ x\ge0

Reverse x and y:
x=9-y^{2},\ y\ge0
Solve for y:
x=9-y^{2}
\rightarrow y^{2}=9-x
\rightarrow y=\sqrt{9-x} since y\ge0
7 0
3 years ago
A bag contains yellow marbles and red marbles, 19 in total. The number of yellow marbles is 5 less than 3 times the number of re
Bad White [126]

Answer of this question =8

3 0
3 years ago
4 gallons of paint cost a total $22.00. How much will 14 gallons cost? A. $60.50 B. $242.00 C. $82.00 D. $77.00
Nana76 [90]
The answer is D. $77.00. To get the cost for a single gallon you divide $22 by 4 gallons you get $5.50. To get the cost for 14 gallons you multiply $5.50 by 14 and you get the answer $77.00.
4 0
2 years ago
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