Answer: 
<u>Step-by-step explanation:</u>
Note the following identities: tan² x = sec²x - 1

tan² x + sec x = 1
(sec² x -1) + sec x = 1
sec² x + sec x - 2 = 0
(sec x + 2)(sec x - 1) = 0
sec x + 2 = 0 sec x - 1 = 0
sec x = -2 sec x = 1

He will need 12 sq. inches of Paper for each rhombus.
Given: 6 inches tall and 4 inches wide.
so, Length of the diagonals are 6 and 4 inches respectively.
Refer to figure.
The two diagonals cuts the rhombus into four equal parts, so
Area of one rhombus = 4 x (area of 1 part of the rhombus)
Now,
Area of 1 part of the rhombus =
x 3 x 2
= 3 sq. inches
Area of one rhombus = 4 x 3 = 12 sq. inches
Hence, 12 sq. inches of Paper is needed for each rhombus.
Learn more about the "Finding the area of the rhombus" Here : brainly.com/question/10684261
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Answer:
Consistent and dependent
Step-by-step explanation:
Given


Required
The words that describe the equations
Make y the subject in (2)

Collect like terms

Divide through by 2

Substitute:
in (1)



Collect like terms


Solve for x

Simplify

Substitute
in 



So, we have:
and 
<em>The system is consistent because it has at least 1 solution</em>
<em>The system is dependent because it has more than 1 solution</em>
Question:
A solar power company is trying to correlate the total possible hours of daylight (simply the time from sunrise to sunset) on a given day to the production from solar panels on a residential unit. They created a scatter plot for one such unit over the span of five months. The scatter plot is shown below. The equation line of best fit for this bivariate data set was: y = 2.26x + 20.01
How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?
Answer:
51.65 kilowatt hours
Step-by-step explanation:
We are given the equation line of best fit for this data as:
y = 2.26x + 20.01
On a day that has 14 hours of possible daylight, the model prediction will be calculated as follow:
Let x = 14 in the equation.
Therefore,
y = 2.26x + 20.01
y = 2.26(14) + 20.01
y = 31.64 + 20.01
y = 51.65
On a day that has 14 hours of daylight, the model would predict 51.65 kilowatt hours
Its 139, pretty sure u knew that, besides that, u guys r pretty and ik this joke i’ve seen it on tiktok