The answer is 22.6 ft.
<span>In case you wanna know how to do it, the easiest way for me is I draw like a diagram. So this one's a ramp, so I just drew a simple triangle. It says the distance from the building to the end of the ramp is 22 feet, meaning the base is 22 feet. then the height will be 5 feet, which is the vertical line of the triangle. and you don't know what the last one is, so let's call it c. Here's what your triangle should look like (It's really bad, cuz it's hard to do it on the computer, let's pretend the triangle is much longer and not as steep): </span>
<span>|\ </span>
<span>5 | \ c </span>
<span>|__\ </span>
<span>22</span>
<span>Ok, so you should've heard of pythagorean theorem - a^2 + b^2 = c^2 </span>
<span>a is 5, b is 22 so plug these numbers into the theorem : 5^2 + 22^2 = 509</span>
<span>Since 509 is c SQUARED, you have to find the square root of 509 which is 22.6! There's your answer hope I helped :D</span>
Answer:
see the explanation
Step-by-step explanation:
Let
x------> represent babysitting hours
y ------> represent tutoring hours
we now that
The system of inequalities that model the scenario is
-----> inequality A
-----> inequality B
The solution is the shaded area between the positive values of x and y
see the attached figure
Answer:
Step-by-step explanation:
We can use the following trigonometrical identity:
(1)
Where , are angles, measured in sexagesimal degrees.
If we know that and , then the value of the given function is:
Answer:
<h3>-6</h3>
Step-by-step explanation:
Let the slope of the first line be m1
Let the slope of the second line be m2
If both lines are perpendicular, then;
m1m2 = -1
Get m1, the slope of the line passing through A (-2, 0) and B (2,-k).
m1 = y2-y1/x2-x1
m1 = -k-0/2-(-2)
m1 = -k/4
Get the slope of the line 3y + 2x = 5
Rewrite the equation;
3y = -2x + 5
y = -2/3 x + 5/3
Hence the slope of the line m2 is -2/3
Since m1m2 = -1, then;
-k/4(-2/3) = -1
2k/12 = -1
k/6 = -1
k = -6
Hence the value of k is -6
Answer:
x = 5
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and equals:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
Isolate the variable, x. Subtract x and 2 from both sides:
-2x (-x) + 2 (-2) = x (-x) - 13 (-2)
-2x - x = -13 - 2
Simplify. Combine like terms:
-2x - x = -13 - 2
-3x = -15
Divide -3 from both sides:
(-3x)/-3 = (-15)/-3
x = -15/-3
x = 5
x = 5 is your answer.
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