Answer:
The answer would be, 81cm.
Step-by-step explanation:
36÷4=9
9×9=81
X⁴ + x³ - 2x² + x + (2x⁴ - 2x²<span> - 3) =
</span>x⁴ + x³ - 2x² + x + 2x⁴ - 2x² - 3 =
3x⁴ + x³ - 4x² + x - 3 ← <span>the missing polynomial</span>
a = 4 first term, r = ?, T10 = 100.
Tn = ar^n - 1 formula for g.p
T10 = 4r^ 10 - 1
100 = 4r^9
Divide both side by 4
100/4 = 4/4r^9
25 = r^9 take the 9th root of both side
9√25 = 9√r^9
r = 9√25
To find the nth term
Since Tn = ar^n - 1
<h3>Given:</h3>
- Hemisphere ×2 or sphere
- Cylinder
<h3>Solution:</h3><h3>Volume of the sphere:</h3>
![v = \frac{4}{3} \pi {r}^{3}](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20%20%5Cpi%20%7Br%7D%5E%7B3%7D%20)
![v = \frac{4}{3} \times \pi \times {2}^{3}](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20%20%5Ctimes%20%5Cpi%20%5Ctimes%20%20%7B2%7D%5E%7B3%7D%20)
![v = 33.51 \: {m}^{3}](https://tex.z-dn.net/?f=v%20%3D%2033.51%20%5C%3A%20%20%7Bm%7D%5E%7B3%7D%20)
<h3>Volume of the cylinder:</h3>
![v = \pi {r}^{2} h](https://tex.z-dn.net/?f=v%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20h)
![v = \pi \times {2}^{2} \times 6](https://tex.z-dn.net/?f=v%20%3D%20%5Cpi%20%5Ctimes%20%20%7B2%7D%5E%7B2%7D%20%20%5Ctimes%206)
![v = 75.40 \: {m}^{3}](https://tex.z-dn.net/?f=v%20%3D%2075.40%20%5C%3A%20%20%7Bm%7D%5E%7B3%7D%20)
<h3>Total volume:</h3>
![v = 75.40 + 33.51](https://tex.z-dn.net/?f=v%20%3D%2075.40%20%2B%2033.51)
![v = 108.91 \: {m}^{3}](https://tex.z-dn.net/?f=v%20%3D%20108.91%20%5C%3A%20%20%7Bm%7D%5E%7B3%7D%20)
<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>compound</u><u> </u><u>shape</u><u> </u><u>is</u><u> </u><u>108.91</u><u> </u><u>cubic</u><u> </u><u>meters</u><u>.</u>
6x+3y=6 and 8x+9y= -22 describes the outcomes of Clare and Noah.
Step-by-step explanation:
Let,
x represents the number of points for a goal.
y represents the number of points for a penalty.
Therefore,
6 goals = 6x
3 penalties = 3y
8 goals = 8x
9 penalties = 9y
According to given statment;
6x+3y=6 Eqn 1
8x+9y= -22 Eqn 2
6x+3y=6 and 8x+9y= -22 describes the outcomes of Clare and Noah.
Keywords: linear equation, variables
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