<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 
<span>In </span>mathematics<span>, a </span>matrix<span> <span>(plural </span></span>matrices) is a
rectangular array of numbers, symbols, or expressions, arranged in rows and
columns.
Given that
E = [ 1 2]
<span>A = | 3
0|</span>
<span> | 2
-1 |</span>
<span>2EA = 2 [1 2] | 3 0|</span>
<span> | 2 -1 |</span>
<span>2EA = [ 14
-4]</span>
<span> </span>
Answer:
It has no amplitud and the period is 5pi/2
Step-by-step explanation:
Given a function of the following type:
f(t) = AtanB(t + C)
The function has no amplitud, given that it doesn't have maximum or minimum value. And the period is given by: pi/B
In this case, we have f(t)= -tan0.4t. Then:
B = 0.4
⇒ Period = pi/0.4 = 5pi/2
Therefore, the answer is: It has no amplitud and the period is 5pi/2
f(x)g(x) = 9x² + 10x - 16
<u>Step-by-step explanation:</u>
Step 1:
Given f(x) = 3x - 4 × 2 + 6x and g(x) = 5x + 2 × 2 - 3x
f(x) = 9x - 8
g(x) = 2x + 4
f(x)g(x) = (9x - 8)(2x + 4)
= 18x² + 36x - 16x -32
= 18x² + 20x - 32
= 9x² + 10x - 16
Step-by-step explanation:
The digital root of a number is the single digit that you get by adding all of the digits of the original number together. If the result of that is multiple digits, you add those digits together, repeating the process until you get a single digit. That digit is the digital root of the original number.
example given
257520643
2+5+7+5+2+0+6+4+3
7+12+2+10+3
7+1+2+2+13
8+4+1+3
8+4+4
12+4
16
1+6=7