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Angelina_Jolie [31]
3 years ago
13

PLEASE HELP SOLVE THIS!!!!!

Mathematics
2 answers:
vichka [17]3 years ago
7 0

Step-by-step explanation:

  • 22

Let's calculate the expression khowing that m= 1 and n = 5

  • m-\frac{m+m}{2} -n
  • m- \frac{2m}{2}-n
  • m-m-n
  • 0-n
  • 0-5
  • -5

  • 20

Let's calculate the expression khowing that n= -7 and p= - 6

  • \frac{p(p+n^{2})  }{6}
  • \frac{-6(-6+(-7)^{2})  }{6}
  • \frac{-6(-6+49)}{2}
  • \frac{-6*43}{6}
  • -1*43
  • -43

  • 21

Let's calculate the expression khowing that n = -6 and m = -1 and p = -10

  • mp-(p-(m-n))
  • mp-(p-m+n)
  • mp-p+m-n
  • (-1)*(-10)-(-10)+(-1)-(-6)
  • 10+10-1+6
  • 20-1+6
  • 19+6
  • 25

guajiro [1.7K]3 years ago
6 0

Answer:

20) -43

21) 25

22)-9

Step-by-step explanation:

20) -6 (-6 + 49)/6 = -43

21) 10 - (-10 - (-1 + 6)) = 25

22) 1 - 10/2 - 5 = -9

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Would appreciate the help ! ​
aleksandr82 [10.1K]

This is one pathway to prove the identity.

Part 1

\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{1}{\tan(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\cot(\theta) = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{\cos(\theta)}{\sin(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)*\sin(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)(1-\cos(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\

Part 2

\frac{\sin^2(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)-\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-(\cos(\theta)-\cos^2(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-\cos(\theta)+\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\

Part 3

\frac{\sin^2(\theta)+\cos^2(\theta)-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1}{\sin(\theta)} = \frac{1}{\sin(\theta)} \ \ {\checkmark}\\\\

As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.

We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity \sin^2(\theta)+\cos^2(\theta) = 1 in the second to last step. I broke the steps into three parts to hopefully make it more manageable.

3 0
3 years ago
Please help me out I know that supplimentary angles have to equal 180 but I have no idea how to solve for x since they didnt giv
Crazy boy [7]

Answer:

x = 6

Step-by-step explanation:

13x + 2 = 12x + 8

Because of:

1) Corresponding angles

2) Vertically opposite angles

13x + 2 = 12x + 8

13x - 12x = 8 - 2

x = 6

4 0
3 years ago
Read 2 more answers
What is the quotient of the problem 0.492 : 0.04
andrezito [222]
Do you mean what is 0.492 divided by 0.04? because it is 12.3
7 0
3 years ago
Rectangle ABCD has vertices A(–6, –2), B(–3, –2),
dexar [7]

Answer:

The rule is ( x - 4, y + 3)

Step-by-step explanation:

4 0
3 years ago
Find a point e on cd such that the ratio of ce to cd is 3/8.-7-5-3-1
lyudmila [28]
The question is asking to choose among the following choices that states the value of the point e if the ration of ce to cd is 3/8, base on that and on my further calculation, I would say that the value of point e is -1. I hope you are satisfied with my answer and feel free to ask for more 
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3 years ago
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