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:
The answer is A.
Step-by-step explanation:
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1
Amount Daisy plans to spend on food is $625
Step-by-step explanation:
- Step 1: Given total savings of Daisy = $5000. Find the amount spent by Daisy on her room
Amount spent on room = 3/4 of 5000 = 3/4 × 5000 = $3750
- Step 2: Calculate the remaining amount.
Remaining amount = $5000 - $3750 = $1250
- Step 3: Calculate the amount Daisy plans to spend on food
Amount to be spend on food = 1/2 of 1250 = 1/2 × 1250 = $625
Answer:
B and C
Step-by-step explanation:
To determine which ordered pairs are a solution, substitute the coordinate points into the left side of the inequality and check against right side for validity.
A (3, 5)
25 - 9 = 16 ≥ 7 ⇒ (3, 5) is not a solution
B (- 2, - 5)
- 25 + 6 = - 19 ≤ 7 ⇒ (- 2, - 5) is a solution
C (5, - 3)
- 15 - 15 = 0 ≤ 7 ⇒ (5, - 3) is a solution