Eight less than seven times a number is the same as for l four more than three times a number. Find the number.

Answers

Answer 1
Answer:

Question :- Eight less then seven times a number is the same as for l four more than three times a number. Find the number.

Answer :-

Let the number be x

Therefore,

=> 8-7x = 4+3x

=> 8-4 = 3x+7x

=> 4 = 10

=> X = 5/4

Hope it helps!


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Verify the basic identity. What is the domain of validity? cot theta = cos theta csc theta

Answers

Both sides can be the domain of validity since both are just simple but what we are going to change is the right side.
Let us review that cot \alpha = (cos \alpha )/(sin \alpha ) and csc \alpha = (1)/(sin \alpha ).
So, to prove the following identity:
cot \alpha =cos \alpha csc \alpha
Let us substitute the value of csc with respect to sin.
cot \alpha =cos \alpha * (1)/(sin \alpha )
cot \alpha = (cos \alpha )/(sin \alpha )
cot \alpha =cot \alpha

Answer:

The domain of validity of the given identity is:

  • All real numbers except nπ where n belongs to integers.

Step-by-step explanation:

We are asked to prove the trignometric identity:

     \cot \theta=\cos \theta\csc \theta

We know that:

\cot \theta=(\cos \theta)/(\sin \theta)

Hence, the function cotangent is defined where the denominator is not zero i.e. all the real numbers except where sine function is zero.

We know that the zeros of sine function are of the type: nπ where n belongs to integers.

 Also, we can write the expression by:

\cot \theta=\cos \theta\cdot (1)/(\sin \theta)

We know that cosecant function is the reciprocal of the sine function.

i.e.

\csc \theta=(1)/(\sin \theta)

                 Hence, we get:

\cot \theta=\cos \theta\cdot \csc \theta

     

What should be done to both sides of the equation in order to solve N/4 = -12.4

Answers

Mutiply each by four to get n=-49.6. Hope this helped.

Answer:

Multiply by 4.

Step-by-step explanation:

Create a numerical expression for each day of the month using the numbers 1, 2, 3, and 4 with an answer that matches each day.

Answers

Answer:1-2divided by Yx - 4 + 3

Step-by-step explanation:

A 15-foot pole is leaning against a tree. The bottom of the pole is 8 feet away from the bottom of the tree. Approximately how high up the tree does the top of the pole reach?



A.
17.0 feet


B.
12.7 feet


C.
7.0 feet


D.
1.9 feet

Answers

B. 12.7 because use when i calculated it, it came up to12.69 but when you round the numbers up it will become 12.7

The answer is 12.7 feet. I just took the quiz and got the answer correct.

In a group there are 2 girls and 4 boys. What fraction of the group is girls?2/5
216
3/6
4/6

Answers

Answer:

4/6

Step-by-step explanation:

What is the surface area of the rectangular prism?200 in2


110 in2


220 in2


180 in

Answers

Answer:

220 in2

Step-by-step explanation:

(10 * 5) * 2 = 100

(10 * 4) * 2 = 80

(5 * 4) * 2 = 40

cuz the bottom of the rectangle

100 + 80 + 40 = 220

Answer:

Step-by-step explanation:

the correct answer is 220 in I took the k12 math quiz just now and got 80% but this question was correct