Answer:
x = -8
Step-by-step explanation:
I will show each step algebraically. If you need further explanation, feel free to ask questions :)
Rewrite
Subtract 7
Multiply by reciprocal (2/1)
I hope this helps!
Answer:
cos (105°) = - 2.6
csc (105°) = 1.03
Step-by-step explanation:
Given that cos (-105°) = - 0.26 {The negative sign is due to the angle - 105° lies in the third quadrant where cos value is negative}
Again, given that csc (- 105°) = - 1.03 {{The negative sign is due to the angle - 105° lies in the third quadrant where csc value is negative}
Now, cos (105°) = - 2.6, because 105° lies in the second quadrant and here cos value is negative.
And csc (105°) = 1.03, because 105° lies in the second quadrant and here csc value is positive. (Answer)
<h2>
Answer with explanation:</h2>
The function represents the area of a circle(A) is given by :-

To determine the area of a circle whose radius is 11 inches. , we put the value of r=11 inches, we get

Now, we put
in the above function , we get

Answer:
Equation = 1/4 x + 25 = 70
Solution = $180
Explanation:
Let the original amount she had before she went shopping be x
If she spent one-fourth on sloth, then the amount spent on cloth will be;
1/4 x
If she receives another $25 a week later totalling her money $70, then the equation that represents the situation will be;
1/4 x + 25 = 70
Find the solution
1/4 x + 25 = 70
1/4 x = 70 - 25
1/4 x = 45
x = 45 * 4
x = 180
Hence the amount she had before going for shoppind was $180
Answer:
<em>The number is 46</em>
Step-by-step explanation:
<u>Equations</u>
Suppose:
a = One digit of the number
b = Tens digit of the number
The sum of the digits is 10:
a + b = 10
The number expressed as two-digits quantity is ab, and its value is
10a+b
When we add 18 to that number, we have:
10a+b+18
And that is represented as the number reversed:
10a+b+18=10b+a
Simplifying:
9a+18=9b
Dividing by 9:
a + 2 = b
Substituting in the first equation:
a + a + 2 = 10
2a = 8
a = 4
b = a + 2 = 6
Thus the number is 46