Surface are of a rectangular prism = 2(l x w + l x h + w x h) = 2(10 x 3 + 10x + 3x) = 2(30 + 13x) = 60 + 26x
Volume of a rectangular prism = l x w x h = 10 * 3 * x = 30x
Since surface area = volume
60 + 26x = 30x
4x = 60
x = 15 in
F(x)=(2/3)x^1.5
The centroid position along the x-axis can be obtained by
integrating the function * x to get the moment about the y-axis,
then divide by the area of the graph,
all between x=0 to x=3.5m.
Expressed mathematically,
x_bar=(∫f(x)*x dx )/(∫ f(x) dx limits are between x=0 and x=3.5m
=15.278 m^3 / 6.1113 m^2
=2.500 m
∠BDC=30, so ∠CBD + ∠BCD=180-30=150
ΔDBC is isosceles, so ∠CBD=∠BCD=half of 150=75
∠ABC=∠ABD-∠CBD=155-75=80
ΔABC is isosceles, so ∠ABC=∠ACB=80
∠BAC=180-80-80=20
It’s A!! hope that helped
2. The absolute value of -8 is 8. True
3. An isosceles triangle has three congruent sides.
Nope. It has two
4. The cosine is the ratio between the length of the opposite leg to the length of the hypotenuse.
I have no idea.
5. The boiling point of water is 212°C.
true
6.
The expression 28xyz has 4 terms.
true
7.
Shapes that have the same size and shape are said to be similar.
false
8.
The points where the sides of a polygon meet are called the vertexes.
true
9. A heptagon is a seven-sided polygon.
true (hexagon)
10.
An acute angle has more than 90° but less than 180°.
true
