<h3>Solving for the measurements of Complementary Angles</h3><h3>
Answer:</h3>
and 
<h3>
Step-by-step explanation:</h3>
Recall that Angles that are complementary to each other add up to 
.
Let 
be the measure of the complementary angle.
If an angle is 
more than its complementary angle, the measure of that angle is 
. The sum of both angles are expressed 
but since the have to add to 
as they are complementary, 
.
Solving for :
Since the other angle measures , we can plug in the value of to find the measure of the angle.
Evaluating :
The measure of the angles are and
13/4 would be 3 1/4. this is because 4 can go into 13 3 times leaving 1/4 left over. hence making it a mixed number. as a whole number it would be 3.25 because 4 can go into 13 3 times and 1/4 is .25, hope this helps!:)
Answer:
The amount invested at 9% is $93000
The amount invested at 10% is $303000
Step-by-step explanation:
Let the amount invested at 9% interest rate be x
And the amount invested at 10% rate be y
Simple Interest from x in a year = 0.09x
Simple Interest from y in a year = 0.1y
But y = 24000 + 3x
And the sun of the interests, 0.09x + 0.1y = 38670
Now we have a simultaneous eqn
y = 24000 + 3x (eqn 1)
0.09x + 0.1y = 38670 (eqn)
Substitute y into eqn 2
0.09x + 0.1(24000 + 3x) = 38670
0.09x + 2400 + 0.3x = 38670
0.39x = 38670 - 2400
x = 36270/0.39 = $93000
y = 24000 + 3x = 24000 + 3 × 93000 = $303000
Answer:
- Powers of the variable descending left to right
- right side of the equal sign is 0
Step-by-step explanation:
For some constants a, b, and c, the standard form* is ...
ax^2 + bx + c = 0
___
It is nice if the leading coefficient (a) is positive, but that is not required.
The main ideas are that ...
- Powers of the variable are descending
- All of the non-zero terms are on the left side of the equal sign
- Like terms are combined
_____
* This is the <em>standard form</em> for a quadratic. For other kinds of equations, when the expression is equal to zero, this would be called "general form."
