Answer:
230 cm^2
Step-by-step explanation:
The area of each parallelogram face is ...
A = bh = (8 cm)(3 cm) = 24 cm^2
The area of the two rectangular faces shown is ...
A = (area of top face) + (area of right side face)
A = (8 cm)(7 cm) +(5 cm)(7 cm) = 91 cm^2
The three faces we have figured the area of are half the total area, since there are three more faces exactly the same size. Then the total area of the figure is ...
total surface area = 2(24 cm^2 +91 cm^2) = 230 cm^2
_____
Of course, the area of a rectangle is given by A=L·W, where L and W represent the length and width of the rectangle.
Answer:
7. 2:3<__4:1
8. 1:2<__3:6
9. 3:5>__2:4
10. 6:7>__4:8
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that
Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.
- Mx(x,y) = d/dx 8x²y = 16xy
- Ly(x,y) = d/dy 7y²x = 14xy
Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line ntegral is equal to the double integral
We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows
We conclude that the line integral is 1/2
Yes 28/30 is bigger than 4/5.
Complete question :
Hayley is buying herbs. She wants to buy 5/6 ounce of basil. The scale she is using to weigh the basil displays the weight as a decimal. How will she know when the display on the scale is correct to the tenths place? Explain your reasoning.
Answer:
0.8
Step-by-step explanation:
To obtain the fractional expression of weight in decimal form:
5/ 6 ounce of bassil is converted into decimal :
5 / 6 = 0.8333
Hence, for a fraction of 5 /6, we obtain;
5/6 = 0.8333
To the nearest tenth :
0.8