Answer:
62.2° (or 1.1 rad)
Step-by-step explanation:
Let’s call the three points A Allen’s house, B Bob’s house, T the traffic light and α “angle of depression”.
Since we have a right triangle BTA, let’s first find out the angle ∡BTA based on its opposite side AB = 7 km and the hyponenuse TA = 15 km.
∡BTA = arcsin(AB/TA) ≈ arcsin(0.4667) ≈ 0.4855 rad or 27.82°
Now since the text says the connecting line TA “is vertical to the road”, α is the rest of the right angle when ∡BTA subtracted.
α ≈ 90° - 27.82° = 62.18°
or α ≈ 0.5 π rad - 0.4855 rad ≈ 1.09 rad
See above for properly rounded values.
Answer:
Step-by-step explanation:
6/4=(6-1)/(4-x)
6/4=5/(4-x)
6(4-x)=4(5)
24-6x=20
-6x=-4
x=4/6
x=2/3
2/3 of an inch should be cut off the width.
Answer:
about 520,000
Step-by-step explanation:
Following directions, we evaluate the equation by putting the value where the variable is and doing the arithmetic.
__
The value of x will be the number of days between May 26 and May 12. That value is ...
x = 26 -12 = 14
Then the number of mosquitos is estimated to be ...
y = 230,000(1.06^14) ≈ 520,008
About 520,000 mosquitos will inhabit the city on May 26.
_____
<em>Additional comment</em>
Typically, an "estimate" is one or two significant figures. So, 520,000 is a reasonable estimate. 520,008 has more precsision than can be justified.
Y=mx + b
In this case:
m=slope=5
b=y-intercept=3
y=5x+3
Answer:
Step-by-step explanation:
The area of a trapezoid.
