Answer:
70.1 yards
Step-by-step explanation:
See the attached diagram.
Let AC is the reservoir with A as the bottom and C is the top.
Now, B is the position of Howard which is 109 yards from A i.e. AB = 109 yards.
Again, the angle elevation from B to C is 50 degrees.
So, ∠ ABC = 50°
Now, 
⇒ x = 109 cos 50 = 70.1 yards.
Therefore, the distance between the top of the reservoir and Howard i.e. BC is equal to 70.1 yards. (Answer)
Set up a proportion. 3.50 over 5 = x over 1 (x is what we are trying to find= the cost of 1 lb of apples)
Use cross products and multiply 3.50 by 1 to get 3.50 and then divide that by 5 to get 0.7.
So the apple cost 0.7 or seventy cents per pound.
Check: 0.7*5=3.5
That is correct!
Hope this helps!
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Answer:
18x+63
Step-by-step explanation:
First you've to simplfy it, multiply the first bracket by 5 and the second by 4.
= (5)(2x)+(5)(7) + (4)(2x)+(4)(7)
= 10x+35+8x+28
Combine Like Terms:
= 10x+35+8x+28
= (10x+8x)+(35+28)
= 18x+63
Given;
ABCDE is similar to VWXYZ
so, the corresponding segments are proportional
We need to find the length of XY
XY is corresponding to CD
CD = 1.2 cm
Finding another two corresponding sides
DE = 3.2 cm , YZ = 4 cm
so,
So, the length of XY = 1.5 cm
Answer:
slope is -2 and the y-intercept is 12
Step-by-step explanation:
a key thing to remember: x is always equal to 0 when finding the y-intercept.
so if you look at the table for where 0 is, you get the point (0,12) meaning the y-intercept is 12.
to find the slope use the equation: slope= change in y/change in x
you can use any two points to find this.
lets take the points of the x-intercept (6,0) and the y-intercept (0,12)
12-0/0-6
12/-6
-2 = slope
