Answer:
The perimeter of parallelogram WXYZ is 2√5 + 2√17 units or also known as about 12.72 units.
Step-by-step explanation:
In the diagram, we have a parallelogram. A parallelogram is a shape with two pairs of congruent sides. So, this means that we only need to find the measurement of two sides. From there, we are going to multiply those individual measurements by 2 because both has another side that is congruent to them. Lastly, we will add up all of the measurements to find the perimeter.
We can find the lengths by using the distance formula.
Let's find the length of WX.
Now, we multiply this number by 2 because ZY is congruent to this side.
<em>√17 × 2 = 2√17</em>
Now, let's find the length of WZ.
Now, we multiply this number by 2 because XY is congruent to this side.
<em>√5 × 2 = 2√5</em>
Now, we add these numbers together to get the perimeter.
<em>2√5 + 2√17 = 12.72</em>
Answer:
saving money
Step-by-step explanation:
it wouldn't be none with repaid yet!
Answer:
75 seconds
Step-by-step explanation:
Here, we want to get her time 6 weeks ago.
We shall have an exponential model to link this all up
The exponential model would look like;
y = I(1 - r)^n
where y is the present time
I is the initial time she started with which we are calculating
r is the rate of change which is 2% = 2/100 = 0.02
n is the week number which is 6 in this case
So we have;
66 = I(1 - 0.02)^6
66 = I(0.98)^6
I = 66/0.8858
I = 74.5 seconds
This is approximately 75 seconds
Her time 6 weeks ago is 75 seconds
I'll let <em>h</em> = <em>ax</em>, so the limit is
i.e. the derivative of .
Expand the numerator to see several terms that get eliminated:
So we have
Since <em>h</em> ≠ 0 (because it is approaching 0 but never actually reaching 0), we can cancel the factor of <em>h</em> in both numerator and denominator, then plug in <em>h</em> = 0:
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