Answer:
The surface area of given cuboid is: 148 square centimeters
Step-by-step explanation:
Let
l = 5
w = 4
h = 6
The cuboid has 6 rectangular surfaces.
The surface area of a cuboid with height h, length l and width w is given by:
Putting the values
Hence,
The surface area of given cuboid is: 148 square centimeters
1/2 x^3 + 3.4y when x = 4 and y = 2
1/2(4)^3 + 3.4(2)
1/2 (64) + 6.8
32 + 6.8 = 38.8
Answer:
884. D
885. C ( changed my answer)
886. B
887.A
For number 844, the diameter if the fan is 12 inches. To find Circumference, multiply the radius by two and then pi. The radius of the fan is 6, multiplied by 2 is 12, and multiplied by pi gives 12 times pi.
885 says half of the area gives the circumference. So we can write a formula, (pi*r^2)/2=2*pi*r. If the radius were 4, this would make the equation true. So the answer is 4.
886. Circumference=2*pi*r
r=6.78
2*pi*6.78
13.56*pi
887.
3*3=9
13-3=10
10*23=230
230+9=<u>239</u><u> </u><u>units</u><u> </u><u>squared</u>
Each equation form a straight slanting line. For the first equation, it is slanting towards the right which denotes that it has a positive slope. For the the second equation, its plot is slanting towards the left denoting that its slope is negative. Common to both equation is the point (-1.25, 2.75). At this point, the two lines intersect.
First, let's get the area of the entire triangle since we'll need it later. The area of a triangle is A=1/2*b*h
We can find the height with the Pythagorean theorem by splitting the triangle in half.
3^2+b^2=6^2
9+b^2=36
b^2=27
b=√27
Then we can find the area:
A=1/2*6*√27
A=3√27 or =9√3 or 15.59
Now we can find the area of each region in the triangle other than the shaded region because they are all portions of a circle.
Each region has an angle of 60 because this is an equilateral triangle. Therefore the area of each region other than the shaded region will be 1/6 the area of a circle with a radius of 3 because a full circle is 360 degrees.
A=pi*r^2/6
A=pi*9/6
A=4.71
So three of these regions would have an area of 14.14
We do the area of the triangle minus the area of these regions to get the area of the shaded region
15.59-14.14 = 1.45
Hope this helps!
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