0.4473 mph
0.7200 kmh
0.2000 meters/sec
39.3700 feet/minute
For this case, you must use the given expression, taking into account that:
n = number of days.
We have then that for day 21, n = 21.
Substituting we have:
a21 = 100 + (21-1) * 4
a21 = 180
Answer:
she sprints 180 yards on day 21
Answer:
The lateral surface is 120
, which agrees with the third answer option of the list.
Step-by-step explanation:
Notice that the prism has 5 equal lateral faces, which are all rectangles of eight 6". The width of the prisms can be obtained by using the fact that the perimeter of the pentagon is 20", which gives a side length of 20/5 = 4 " which is the same as the with of the lateral rectangles.
Then the lateral area of the prism is:
Lateral area= 5 (6" x 4") = 5 (24) = 120 
The options can be resumed to the 2nd and 3rd options. If the x-values come first when representing the pair of coordinates, so they will look like (1, y), (2, y), (3, y), and (4, y).
Now we only need to calculate the y-values.
y(1)=14×1+8 ⇔ y(1)=14+8 ⇔ y(1)=22
From only this result we know that the correct option is the third, starting with (1,22).
Only for verification, below are the other y-values' calculations.
y(2)=14×2+8 ⇔ y(2)=36
y(3)=14×3+8 ⇔ y(3)=50
y(4)=14×4+8 ⇔ y(4)=64
Answer:
44 square units
Step-by-step explanation:
The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula

If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:

Putting it altogether:

So the area of our trapezoid is 44.