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Svetradugi [14.3K]
3 years ago
12

Which expression is equivalent to sin

Mathematics
1 answer:
Scilla [17]3 years ago
4 0

Answer:

sin(-pi/2) = -1

Step-by-step explanation:

sin (pi/12) cos((7pi)/12) -cos (pi/12) sin((7pi)/12) = -1

cos(-pi/2) = 0

sin(-pi/2) = -1

cos((2pi)/3) = -1/2

sin((2pi)/3) = (√3)/2

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Solve The Following System of equations by graphing<br><br>3x + y = 5<br>x - 4y = 32​
Nostrana [21]

first you convert to slope intercept form

3x+y = 5 is the same as y = -3x+5

x - 4y = 32 is the same as y = 4x-8

then you graph

(starting with the y-intercepts as your first points)

the point where the two lines intercept is your solution.

5 0
3 years ago
What is the slope of this line? −34 34 −3 4
Ghella [55]

Answer:

The slope is:

m = -3/4

4 0
3 years ago
Read 2 more answers
the sum of three numbers is 79. The second number is 5 times the first, while the third is 16 more than the first. Find the Numb
faust18 [17]
Let the 1st number be x; 2nd number be y; 3rd number be z.

x + y + z = 79

x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first

Therefor,

x + (x * 5) + (x+16) = 79

1st step, multiply the 2nd number: x * 5 = 5x

x + 5x + x + 16 = 79

Add all like numbers:

7x + 16 = 79

To get x, transfer 16 to the other side and change its sign from positive to negative.

7x = 79 - 16
7x = 63

To get x, divide both sides by 7

7x/7 = 63/7
x = 9

To check. Substitute x by 9.

x + (x * 5) + (x+16) = 79

9 + (9 * 5) + (9 + 16) = 79
9 + 45 + 25 = 79
79 = 79 equal. value of x is correct.

4 0
3 years ago
Read 2 more answers
Question 2 please fas
Len [333]

Answer:

a = 3, b = 2

Step-by-step explanation:

It is given that both the polynomials are equal.

Therefore, h(x) = k(x)

{x}^{3}  + (a + b) {x}^{2}  - 4x + 2 \\  =  {x}^{3}  + 5 {x}^{2}  - (2a - b)x + 2 \\  \\ equating \: like \: terms \: on \: both \: sides \\ (a + b) {x}^{2}  = 5 {x}^{2}   \\  \implies \: a + b = 5.....(1) \\  \\  - (2a - b)x =  - 4x \\ 2a - b = 4....(2) \\  \\ adding \: equations \: (1) \: and \: (2) \\  \\ 3a = 9 \\   \implies \: a =  \frac{9}{3}  \\   \huge \red{ \boxed{\implies \: a = 3}} \\  \\ substituting \: a = 3 \: in \: equation \: (1) \\ 3 + b = 5 \\   \implies \: b = 5 - 3 \\ \huge \purple{ \boxed{ \implies  b = 2}}

5 0
3 years ago
Madison is starting her own sewing business. Madison thinks she will do a better job than her competitors, so she thinks she can
GREYUIT [131]

Answer:

<h2>$2479.5</h2>

Step-by-step explanation:

In this problem we will estimate her monthly earnings

given that she earns $13.05 per hour

and also given that she works for 190 hours in a month

then in a month, her earnings will be

=$13.05*190

=$2479.5

alternatively,

per week she works 47.5hours

in a week she will earn 13.05*47.7= $622.485

4 weeks make a month

then after one month her earning will be

$622.485*4= $2479.5

8 0
3 years ago
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