Answers b and c are 'way off (wrong). Answer d is not negative, and thus could not be the correct answer. That leaves Answer a: the range is influenced too much by extreme values.
Answer: 1
Step-by-step explanation:
Answer:
The answer is given below
Step-by-step explanation:
The question is not complete. The correct question is:
A square based pyramid have a height of 30 cm and base of 10 cm. The The square based pyramid is cut horizontally at a height of 15cm to leave this frustum.
Answer:
The frustum would have a base of 10 cm and height of 15 cm. The lower base has a length of 10 cm. to calculate the upper base, we use the formula:
![\frac{height\ of\ frustum}{height\ of \ pyramid}=\frac{base \of\ upper\ edge}{base \of\ lower\ edge}](https://tex.z-dn.net/?f=%5Cfrac%7Bheight%5C%20of%5C%20frustum%7D%7Bheight%5C%20of%20%5C%20pyramid%7D%3D%5Cfrac%7Bbase%20%5Cof%5C%20upper%5C%20edge%7D%7Bbase%20%5Cof%5C%20lower%5C%20edge%7D)
Substituting:
![\frac{30}{15}=\frac{10}{b} \\ b=15*10/30=5](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B15%7D%3D%5Cfrac%7B10%7D%7Bb%7D%20%5C%5C%20b%3D15%2A10%2F30%3D5)
The volume of the frustum is given by the formula:
![V=\frac{h}{3}(A_1+A_2+\sqrt{A_1A_2} )](https://tex.z-dn.net/?f=V%3D%5Cfrac%7Bh%7D%7B3%7D%28A_1%2BA_2%2B%5Csqrt%7BA_1A_2%7D%20%29)
Where h is the height of the frustum = 15 cm, A1 is the area of the lower base = 10 * 10 = 100 cm², A1 is the area of the upper base = 5 * 5 = 25 cm²
Substituting gives:
![V=\frac{h}{3}(A_1+A_2+\sqrt{A_1A_2} )=\frac{15}{3}(100+25+\sqrt{100*25} )= 875\ cm^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7Bh%7D%7B3%7D%28A_1%2BA_2%2B%5Csqrt%7BA_1A_2%7D%20%29%3D%5Cfrac%7B15%7D%7B3%7D%28100%2B25%2B%5Csqrt%7B100%2A25%7D%20%29%3D%20875%5C%20cm%5E3)
Answer:
Step-by-step explanation:
a) Area of shape A= 17 (15z+1)
Area of A = 255z+17
b) Area of shape B
One way to find the solution is to take the area of
bigest rectangle ( z+z+8)*(z+4+6)
and subtract the two small rectangles
(z*(14-10)) and
(6*8)
Area of B= [(2z+8)(z+10)] -4z-48
=2z²+ 20z +8z +80 -4z-48 combine like terms
=2z² +24z +32
c) 225z+17 -2z² -24z -32 =
-2z²+201z -15
Answer:
B
Step-by-step explanation: