Answer:
210 m
Step-by-step explanation:
Perimeter is the distance around the outside of a two-dimensional shape.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
Christen ran around the soccer field, so she ran around the perimeter.
We can find the perimeter by adding all of the side lengths.
Perimeter=60 m+45 m+60 m+45 m
Christen ran 210m.
Purr fbfbfbffjhfbfbfbfbfbfbf
First you make them mixed numbers:
9/2 ÷ 19/8
Then you flip the second fraction around
9/2 ÷ 8/19
Then you change ÷ to ×
9/2 × 8/19
And then multiply across!
72/38 = 1 34/38 = 1 17/19 (the final answer)
Hope this helps!
Answer:
108
Step-by-step explanation:
The total of stitches in width is 108, if 9 inches is the total inches in width. The remaining stitches of the remaining width (if this is the case) would be 84 stitches. If we are combining 9 and 2, the total amount of stitches would be 132. If you would like the work, you can ask otherwise hope this helped!
∫(t = 2 to 3) t^3 dt
= (1/4)t^4 {for t = 2 to 3}
= 65/4.
----
∫(t = 2 to 3) t √(t - 2) dt
= ∫(u = 0 to 1) (u + 2) √u du, letting u = t - 2
= ∫(u = 0 to 1) (u^(3/2) + 2u^(1/2)) du
= [(2/5) u^(5/2) + (4/3) u^(3/2)] {for u = 0 to 1}
= 26/15.
----
For the k-entry, use integration by parts with
u = t, dv = sin(πt) dt
du = 1 dt, v = (-1/π) cos(πt).
So, ∫(t = 2 to 3) t sin(πt) dt
= (-1/π) t cos(πt) {for t = 2 to 3} - ∫(t = 2 to 3) (-1/π) cos(πt) dt
= (-1/π) (3 * -1 - 2 * 1) + [(1/π^2) sin(πt) {for t = 2 to 3}]
= 5/π + 0
= 5/π.
Therefore,
∫(t = 2 to 3) <t^3, t√(t - 2), t sin(πt)> dt = <65/4, 26/15, 5/π>.
