Answer:
The building is approximately 39 m high.
Step-by-step explanation:
As seen in the diagram attached, a triangle can be formed between the boy, the top of the building, and the lateral distance between the boy and the building.
We can now use trigonometric laws to find the distance AC between the boy's head and the top of the building.
tan 40 = AC/37.5
AC = 37.5 X tan 40 = 31.46m
We have just obtained the distance from the boy's head to the building top.
To get the true height of the building, we have to add the height of the platform the boy is standing on to the value just found.
7.5m + 31.46m = 39m
m = (y2-y1)/(x2-x1)
m = (6-4)/(4-0)
m = 2/4
y = mx + c
6 = (2/4)(4) + c
c = 4
Thus, the equation is y = (2/4)x +4
Answer:
Scale factor of ΔXYZ to ΔUVW will be 1/5
Step-by-step explanation:
Since all the angles of ΔXYZ and ΔUVW are equal, both the triangles will be similar.
ΔXYZ ~ ΔUVW
Since both the triangles are similar, ratio of the corresponding sides will be in the same ratio.
And the scale factor = 
= 
= 
= 
Therefore, scale factor of ΔXYZ to ΔUVW will be 1/5
Answer:
Just multiply the absolute values and make the answer positive. When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When you divide two integers with the same sign, the result is always positive.
Step-by-step explanation:
2y+12 < 42
subtract 12 from both sides to isolate the 'y'
2y<30
since '2y' is multiplication, the opposite is division. divide by 2 to isolate the 'y'. doing so will flip the < sign to make it >.
y > 15
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She makes $15 an hour. Her employers take out $125 weekly. She gets a paycheck for $205 that week.
Add the $125 back in that her employer took out and you can find how much she earned that week, it's $330. Divide $330 by $15 to find that she worked a minimum of 22 hours that week.
15h-125=205
15h=330
h=22
plug 22 in to the equation 15h-125=205 to check your answer
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I can't help you with the last one. Best of luck though man and god bless.
