I'm really not sure about the top and bottom answer but I know i can help you with 10. Anyways, to figure this out you just need to know how many minutes are in 5/6 of an hour than multiply that many minutes by 5, I think i'll let you figure this out. :)
(Answer is 250 minutes if you don't want to figure it out)
The ratio of cos Z is cos Z = 3 / 5
<h3>How to find the trigonometric ratios of a right triangle?</h3>
A right triangle has one angle of the triangle as 90 degrees.
The sides of the right triangle can be found using trigonometric ratios.
Therefore,
sin ∅ = opposite / hypotenuse
sin Z = 3 / 5
Using Pythagoras theorem,
c² = a² + b²
5² - 3² = b²
b² = 25 - 9
b² = 16
b = √16
b = 4
Hence,
P + A = 90 degrees (complementary angles)
Therefore,
sin P = cos Z
cos Z = 3 / 5
learn more on right triangle here: brainly.com/question/4364549
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By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.
<h3>What is quadratic equation ?</h3>
Any equation of the form
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .
Given work of Penelope is

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.
To learn more about quadratic equations visit : brainly.com/question/1214333
Answer:
Cool
Step-by-step explanation: