The top and bottom faces are 3 inches by 3 inches.
Area = 3 in. * 3 in. * 2 = 18 in.^2
The front, back, right, and left faces are 3 in. by 6 in.
Area = 3 in. * 6 in. * 4 = 72 in.^2
Total surface area = 18 in.^2 + 72 in.^2 = 90 in.^2
Answer: B. 90 square inches
9514 1404 393
Answer:
-0.16
Step-by-step explanation:
The 'a' value can be found by looking at the difference between the y-value of a point 1 unit from the vertex, and the y-value of the vertex.
Here, that is a negative fraction of a unit. If we assume the value is a rational number that can be accurately determined from this graph, then we can find it by looking for a point where the graph crosses a grid intersection. It looks like such grid points are (-7, 0) and (3, 0). The vertex is apparently (-2, 4), so the vertex form of the equation is ...
y = a(x +2)^2 +4
Using the point (3, 0), we have ...
0 = a(3 +2)^2 +4 . . . . . fill in the values of x and y
-4 = 25a . . . . . . . . . . subtract 4; next, divide by 25
a = -4/25 = -0.16
B. 3 √3
The shortcuts for a 30 60 90 triangle is that the:
Hypotenuse is 2 times the short leg
The long leg is √3 times the short leg.
Making it 3 √3
Another way is by the Pythagorean Theorem.
a^2+b^2=c^2
3^2+b^2=6^2
9+b^2=36
Subtract 9 from both sides
b^2=27
Square root both sides
b=5.2 or the √27
√27 can be simplified more
An equation that equals to 27 that has a perfect square is 9*3
√9* √3
The perfect square of 9 equals to 3
So 3 √3
Answer:
(4, 2.5)
Step-by-step explanation:
Answer:
1444.4 m2
Step-by-step explanation:
Surface Area = 2 * 3.14 * (R*R + R*L) = 2 * 3.14 * (10*10+10*13) = 1444.4 m2
Note .. You can Derive this
"Surface Area = 2 * 3.14 * (R*R + R*L)"
Using Calculus by differentiating its Volume
V = 3.14 * R * R * L
