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Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

8 0

Answer:

15. 14

16. 44

17. 11

18. -56

Step-by-step explanation:

15 . 4 * 7 = 28 divide by 2 = 14

16. 2^3 = 8 * 3 = 24 +5 * 4 = 20 , 20 + 24 = 44

17. 5 + 4 = 9 + 2 =11

18. 6 * 2 = 12 and -34 * 2 = -68 - 12 = 56

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Change the fraction 5/2 to percent

kap26 [50]

[ Answer ]

$\boxed{250 \ Percent}$

[ Explanation ]

Change $\frac{5}{2}$ To Percent

-------------------------------------

$\frac{5}{2}$ Is The Same As 5 ÷ 2

Divide

5 ÷ 2 = 2.5

Convert Decimal To Percentage

2.5 · 100 = 250

Final Answer

250%

$\boxed{[ \ Eclipsed \ ]}$

4 0

3 years ago

Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum<br>(physics question)

Law Incorporation [45]

Answer:

$Magnitude =\sqrt{59} \\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}}$

Step-by-step explanation:

A=2i+3j+4k

B=i-2j+3k

Sum of the vectors:

A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k

$Magnitude =\sqrt{3^2 + 1^2+ 7^2} \\\\Magnitude =\sqrt{9+1+49} \\\\Magnitude =\sqrt{59}$

Direction of the sum of the vectors:

$\widehat{A + B} =\frac{\overrightarrow{A + B}}{Magnitude\: of \:\overrightarrow{A + B}} \\\\\widehat{A + B} =\frac{3i + j + 7k}{\sqrt {59}} \\\\\widehat{A + B} =\frac{3}{\sqrt {59}} i +\frac{1}{\sqrt {59}} j+\frac{7}{\sqrt {59}} k\\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}} \\\\$