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andrew11 [14]
3 years ago
8

Solve each equation. Check your solution. a - 5 = -12

Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:

A = -7

Step-by-step explanation:

Isolate the variable by adding 5 to each side. This becomes A = -7. To check your work plug -7 in for A.

-7 - 5 = -12

   -12 = -12

This is true so -7 is the correct answer.

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Solve the following equation; domain 0< x < 360; 3 cot x + sqrt 3 = 0
kondaur [170]
ANSWER

x =120 \degree \: or \: 300 \degree

EXPLANATION

We want to solve the trigonometric equation

3 \cot(x) + \sqrt{3} = 0

We group like terms to obtain,

3\cot(x) = - \sqrt{3}

Divide both sides of the equation by 3 to get,

\cot(x) = - \frac{ \sqrt{3} }{3}

We can reciprocate both sides to get,

\tan(x) = - \frac{3}{ \sqrt{3} }

We simplify the right hand side to get,

\tan(x) = - \sqrt{3}

Since the tangent ratio is negative, it implies that it is either in the second quadrant or fourth quadrant.

In the second quadrant,

x = 180 \degree - arctan( \sqrt{3})

x = 180 \degree - 60 \degree = 120 \degree

In the fourth quadrant,

x = 360 \degree - arctan( \sqrt{3})

x = 360 \degree - 60 \degree

x = 300 \degree
6 0
4 years ago
An older toilet uses 27 l per flush, whereas a replacement toilet uses only 6 l per flush. if you flush the toilet four times pe
ipn [44]
Find out how many liters are used in the old toilet in a year; 

4×27= 108 l (in a day) 
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Find out how many liters are used in the new toilet; 

4×6=24 (in a day)
24×365=8760 l (in a year)

Find the water saved; 39420-8760
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Hope I helped :)

3 0
4 years ago
Lilly wanted to make pancakes for breakfast. She found a recipe that used 1 egg and would make 5 pancakes. Answer the questions
Sever21 [200]
1) 5 pancakes
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3 years ago
What is the value of the expression "six less than the quotient of a number and two, increased by 10" when n = 3?
Natalka [10]

Answer: let the number be n

so we have (n/2+10)-6

then we have 11.5-6 which is 5.5.

Step-by-step explanation:

5 0
4 years ago
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What is the value of k?<br> k = 28<br> k = 29<br> K=31<br> K=42
Ray Of Light [21]
Please mark me as brainiest

5 0
4 years ago
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