ANSWER:
-78-a
= -78-(-29)
= -78+29
= -49
Using the speed - distance relationship, the time left before the appointed time is 27 minutes.
<u>Recall</u><u> </u><u>:</u>
<u>At</u><u> </u><u>10mph</u><u> </u><u>:</u>
- Distance = 10 × (t + 3) = 10t + 30 - - - (1)
<u>At</u><u> </u><u>12</u><u> </u><u>mph</u><u> </u><u>:</u>
- Distance = 12 × (t - 2) = 12t - 24 - - - - (2)
<em>Equate</em><em> </em><em>(</em><em>1</em><em>)</em><em> </em><em>and</em><em> </em><em>(</em><em>2</em><em>)</em><em> </em><em>:</em>
10t + 30 = 12t - 24
<em>Collect</em><em> </em><em>like</em><em> </em><em>terms</em><em> </em>
10t - 12t = - 24 - 30
-2t = - 54
<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>-</em><em> </em><em>2</em>
t = 54 / 2
t = 27
Hence, the time left before the appointed time is 27 minutes.
Learn more : brainly.com/question/25669152
Answer:
Step-by-step explanation:
a). tan(75°) = 
= 
k = 
k = 2.947
k = 2.95 cm
b). cos(52°) = 
s = 
s = 25.988
s ≈ 25.99 cm
c). sin(5°) = 
= 
q = 
q = 184.727
q ≈ 184.73 cm
Answer: 110 square inches.
Step-by-step explanation:
The volume of a rectangular box would be:

In this case, we know the volume, the length and the height, and we don't know the width, so we're going to isolate it:

Substituting the data:

This width is also the width of the top of the box, so the area of the top would be:

- Answer & step-by-step explanation:
<em>a) impossible</em>
<em>b) the sum of the angles in a triangle is 180°</em>
<em>63° + 59° + 57° = 179°</em>