Answer:
The answer is 1500.
Step-by-step explanation:
To solve this problem you should change 3% to a decimal. We do this by moving the decimal 2 places to the left. The decimal form of 3% is 0.03. We then have to divide 45/0.03 in order to get our answer.
I hope this helped :)
Answer:
10. 9
In the first question we can solve using the Pythagorean theorem. It states that the hypotenuse in a right triangle or the longest side of the triangle, squared is equal to the other 2 sides, squared. Its expressed as so: C^2 = A^2 + b^2 where c is the hypotenuse and a and b are the other sides oft eh triangle.
Therefore,
15^2 = 12^2+x^2
225=144+x^2
81=x^2
x=9
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11. x=12
In this figure, there are 2 right triangles on the sides of the square. If we can find the lengths of the base of both triangles then we can find x using the Pythagorean theorem. the total base is 21 and the square is 11. 11+a+b=21. We can assume that both triangles are congruent and therefore we can solve this equation:
11+a+b=21
a+b=10
5+5=10
b=5
a=5
The bases of the two triangles are 5 and the hypotenuse is 13. Now we can solve using the Pythagorean theorem:
c^2 = a^2+b^2
13^2=5^2+x^2
169=25+x^2
144=x^2
144= 12 x 12
x=12
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12.
The diagnol of a triangle is the hypotenuse and since the length is the square root of 3, we have all the information we need.
c^2 = a^2+b^2
2^2 = (square root of 3)^2+b^2
4=3+b^2
1=b^2
b=1
Step-by-step explanation:
Answer:
-11.
Step-by-step explanation:
f(x) = √(3 - 2x), x ≤ 3/2
let y = √(3 - 2x)
y^2 = 3 - 2x
2x = 3 - y^2
x = (3 - y^2)/2
So f-1(x) = (3 - x^2)/2
f-1(x) = (3 - 5^2) / 2 = -11.
Answer:
After simplifying, the first step in solving an equation with a variable on both sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable
Answer:
1. (3 * 6) + (3 * x) = 24
2. 18 + 3 * x = 24
3. 6 + x = 8
Step-by-step explanation:
We have the equation which is:
3 * (6 + x) = 24
The order of the solution would be as follows:
First step:
(3 * 6) + (3 * x) = 24
Second step:
18 + 3 * x = 24
Third step:
6 + x = 8
The rest of the steps are wrong, and have nothing to do with solving the equation.
