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Anit [1.1K]
2 years ago
6

alt=" \frac{40}{3} \div 160" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
lukranit [14]2 years ago
8 0

Answer:

1/12

Step-by-step explanation:

40/3 ÷ 160 = 40/3 ÷ 160/1 = 40/3 × 1/160 = 1/3 × 1/4 = 1/12

snow_lady [41]2 years ago
6 0
40/3 = 13.3 reoccurring
13.3/160 = 0.08 (2 d.p)
Answer = 0.08
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4 0
3 years ago
Find all complex solutions of 3x^2+2x+5=0 . (If there is more than one solution, separate them with commas.)
barxatty [35]

Answer:

\large\boxed{-\dfrac{1}{3}-\dfrac{\sqrt{14}}{3}i,\ -\dfrac{1}{3}+\dfrac{\sqrt{14}}{3}i}

Step-by-step explanation:

Use

ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

3x^2+2x+5=0\\\\a=3,\ b=2,\ c=5\\\\b^2-4ac=2^2-4(3)(5)=4-60=-56\\\\\sqrt{b^2-4ac}=\sqrt{-56}=\sqrt{(4)(-14)}=\sqrt4\cdot\sqrt{-14}=2\sqrt{-14}

Use

i=\sqrt{-1}

\sqrt{-14}=\sqrt{(-1)(14)}=\sqrt{-1}\cdot\sqrt{14}=i\sqrt{14}

Therefore:

x=\dfrac{-2\pm 2i\sqrt{14}}{2(3)}=-\dfrac{2}{6}\pm\dfrac{2i\sqrt{14}}{6}=-\dfrac{1}{3}\pm \dfrac{\sqrt{14}}{3}i

8 0
3 years ago
What is the value of x in the equation shown below x^3+1=9
levacccp [35]

Answer:

x = 2

Step-by-step explanation:

x^3 + 1 = 9

x^3 = 8

\sqrt[3]{x^3} = \sqrt[3]{8}

x = 2

7 0
2 years ago
What is the volume of a right rectangular prism that is 3 meters by 4.5 meters
taurus [48]

Answer:

The volume is 81 m³.

Step-by-step explanation:

This is the right rectangular prism which dimensions are:

W = 3 m , L = 4.5 m , H = 6 m

The volume of the prism:

V = W * L * H

V = 3 m * 4.5 m * 6 m = 81 m³

6 0
3 years ago
HELP ASASP PLEASE!!!!!!! What is the following simplified product? Assume x>/0
luda_lava [24]
Answer: Third option.
Please, see the detailed solution in the attache file.
Thanks

6 0
3 years ago
Read 2 more answers
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