Answer:
18
Step-by-step explanation:
Hope this helps!
Answer:
88 degrees.
Step-by-step explanation:
Since AB is equal to BC, ABC is an isosceles triangle. Therefore, the angle of B will be 180-39-39=102 degrees. As the angle of a straight line is 180 degrees, take 180-102-32=46 degrees. This 46 degrees is angle B. Since DEB is an isosceles triangle, 180-46-46=88 degrees. 88 degrees is angle E which is your answer. Edit: (Just added on the explanation.)
$21.50 - $4 = $17.50 If you start with $21.50, subtract the $4 entrance fee, you have $17.50 left to spend on rides. To figure out how many rides you can go on, divide $17.50 by $2.50. You can go on 7 rides. Here's the equation:
(21.5-4)/2.5=amount of rides
(21.5-4)/2.5= 7 rides
Answer:
a. Area = 1.94m²
b. Area = (p² + 0.5)m²
c. Height = 1.5m
Step-by-step explanation:
Given
<em>Let H represents Height and A represents Area</em>
<em>From the first and second statements, we have that:</em>
<em></em>
<em></em>
<em></em>
<em>a. Calculating Area When Height = 1.2</em>
<em></em>
<em></em>
<em>Substitute 1.2 for H</em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
Hence, the area is 1.94m²
<em></em>
<em>b. Calculating Area When Height = p</em>
<em></em>
<em></em>
<em>Substitute p for H</em>
<em></em>
<em></em>
<em></em>
Hence, the area is (p² + 0.5)m²
<em></em>
c. <em>Calculating Height When Area = 2.75m</em>²
<em></em>
<em></em>
<em>Substitute 2.75 for A</em>
<em></em>
<em></em>
<em>Subtract 0.5 from both sides</em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em>Take Square Root of both sides</em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
Hence, the height is 1.5m
Answer:
(-24, -8)
Step-by-step explanation:
Let us recall that when we have a function f

<em>if the gradient of f at a given point (x,y) exists, then the gradient of f at this point (x,y) gives the direction of maximum rate of increasing and minus the gradient of f at this point gives the direction of maximum rate of decreasing</em>. That is

at the point (x,y) gives the direction of maximum rate of increasing

at the point (x,y) gives the direction of maximum rate of decreasing
In this case we have

and we want to find the direction of fastest speed of decreasing at the point (-3,-2)

at the point (-3,-2) minus the gradient equals

hence the vector (-24,-8) points in the direction with the greatest rate of decreasing, and they should start their descent in that direction.