Answer:
y ≈ 4.4 cm
Step-by-step explanation:
The image is uploaded below. From the image below you can deduce that the triangle formed is a right angle triangle. The triangle has a height of 12 cm and the base is what we are ask to find.
A right angle triangle has an opposite side , a hypotenuse and an adjacent side. From the right angle triangle below the adjacent side is y cm, the opposite side is 12 cm and the hypotenuse is x cm. The angle between the hypotenuse and the adjacent side is 70°.
Using SOHCAHTOA principle
tan 70° = opposite /adjacent
tan 70° = opposite /adjacent
tan 70° = 12/y
cross multiply
y tan 70° = 12
y = 12/tan 70°
y = 12/2.74747741945
y = 4.36764281119
y ≈ 4.4 cm
Answer:
the answer is to make the first offer!
Step-by-step explanation:
Since the surplus ($100000) is rapidly depleting, and though the second individual collects the whole surplus, it is already less than half of the surplus from the previous day. So, once you make the first bid, any offer above 100,000 would be fair to the second person and if he rejects the offer, he will only be able to get 100,000 the next day. You will raise the payout by 100000(1 ) this way.
22x0.0525 = 1.155
22 x 0.15 = 3.3 (tip)
22 + tax + tip = 26.46 (unless the tax is actually 11.55)
In these problems, it is always a good idea to find the total population. In this case, it would be the total number of people who went on the field trip.
28+18+4=50
There are 50 people total.
To find each fraction, just put the number of students/parents/teachers over 50 and simplify.
Students
28/50=14/25
Parents
18/50=9/25
Teachers
4/50=2/25
Hope this helps!
Answer:
slope = 
Step-by-step explanation:
Given the two points on the graph: (-1, 2) (-5, -3)
Let (x1, y1) = (-1, 2)
(x2, y2) = (-5, -3)
We can use the following slope formula:
Substitute the values into the slope formula:
Therefore, the slope of the line is:
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