We are given with the rate of change of the base, db/dt equal to 1 ft/ sec and the rate of change of the height of the triangle, dh/dt equal to 2 ft/sec. b is 10 ft and h is 70 ft. Area of triangle is equal to A= 0.5 bh The rate of change of the area is equal to dA/dt = 0.5 b dh/dt + 0.5 h db/dt. Substituting, dA= 0.5*10*2 + 0.5*70 * 1 equal to 45 ft2 / sec.
Answer:
C . 2,550 bolts. lol
Step-by-step explanation:
A simple technique to answer a question like this is to
Step 1: multiply 30 by 17000 = 510000
Step 2: divide 510000 by 200 = 2550
Answer: The image is attached.
Step-by-step explanation:
A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.
When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".
When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".
In this case we know that the scale factor is:

Since:

It is an Enlargement.
You can identify that the vertices of the pre-image shown in the figure, are:

So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;

Now you can draw it (The image is attached).
So firstly, we have to find the LCD, or lowest common denominator, of 9 and 7. To do this, list the multiples of 9 and 7 and the lowest multiple they share is going to be your LCD. In this case, the LCD of 9 and 7 is 63. Multiply x^2/9 by 7/7 and 2y/7 by 9/9:

Next, add the numerators together, and your answer will be: 
Answer:
(22,0)
Step-by-step explanation:
1. Select any two points given and find their slope (rise/run)
(-38, 40) and (-23, 30)
slope =
= - 2/3
2. Use the slope and one of the points to create an equation of the line in the format y = mx + b, where m = slope and b = y-intercept.
y = mx + b ⇒ 40 = -2/3 (-38) + b
3. Solve for b
40 = -2/3 (-38) + b
40 = 76/3 + b
40 - 76/3 = b
b = 44/3
4. To find the x-intercept, set y = 0, and solve.
y = -2/3 x + 44/3
0 = -2/3 x + 44/3
2/3 x = 44/3
x = 22
Hope this helped!