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3 years ago

Please help me as fast as you can

Mathematics

2 answers:

Pani-rosa [81]3 years ago

7 0

Answer:

0.99

Step-by-step explanation:

divide 6.93 by 7.

taurus [48]3 years ago

4 0

<h2>Answer: </h2>

<h3>Step-by-step explanation:</h3>

We have the equation:

6.93 ÷ 7 = ?

$\left[\begin{array}{ccccccc}&&0.&9&9\\7&&6.&9&3\\&&-&6&3\\\left&&&&6&3\\&&&-&6&3\\&&&&&0\end{array}\right]$

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Ivan and Tanya share £150 in the ratio 4: 1<br>Work out how much more Ivan gets compared to Tanya.

Anastasy [175]

Answer:

Ivan got £90 more than Tanya.

Step-by-step explanation:

Ivan and Tanya share the amount £150 in the ratio of 4 : 1

Amount received by Ivan = $150\times \frac{4}{(4+1)}$

= $150\times \frac{4}{5}$

= £120

Similarly, amount received by Tanya = $150\times \frac{1}{(4+1)}$

= £30

Difference in their amounts = 120 - 30

= £90

Therefore, Ivan got £90 more than Tanya.

7 0

3 years ago

29.046 rounded to nearest whole number

muminat

The answer is 29.00 hope this helps

8 0

3 years ago

How do you find a vector that is orthogonal to 5i + 12j ?

Rashid [163]

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{a}{b}\\\\
slope=\cfrac{a}{{{ b}}}\qquad negative\implies -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}\\\\
-------------------------------\\\\$

$\bf \boxed{5i+12j}\implies 
\begin{array}{rllll}
\ \textless \ 5&,&12\ \textgreater \ \\
x&&y
\end{array}\quad slope=\cfrac{y}{x}\implies \cfrac{12}{5}
\\\\\\
slope=\cfrac{12}{{{ 5}}}\qquad negative\implies -\cfrac{12}{{{ 5}}}\qquad reciprocal\implies - \cfrac{{{ 5}}}{12}
\\\\\\
\ \textless \ 12, -5\ \textgreater \ \ or\ \ \textless \ -12,5\ \textgreater \ \implies \boxed{12i-5j\ or\ -12i+5j}$

if we were to place <5, 12> in standard position, so it'd be originating from 0,0, then the rise is 12 and the run is 5.

so any other vector that has a negative reciprocal slope to it, will then be perpendicular or "orthogonal" to it.

so... for example a parallel to <-12, 5> is say hmmm < -144, 60>, if you simplify that fraction, you'd end up with <-12, 5>, since all we did was multiply both coordinates by 12.

or using a unit vector for those above, then

$\bf \textit{unit vector}\qquad \cfrac{\ \textless \ a,b\ \textgreater \ }{||\ \textless \ a,b\ \textgreater \ ||}\implies \cfrac{\ \textless \ a,b\ \textgreater \ }{\sqrt{a^2+b^2}}\implies \cfrac{a}{\sqrt{a^2+b^2}},\cfrac{b}{\sqrt{a^2+b^2}}
\\\\\\
\cfrac{12,-5}{\sqrt{12^2+5^2}}\implies \cfrac{12,-5}{13}\implies \boxed{\cfrac{12}{13}\ ,\ \cfrac{-5}{13}}
\\\\\\
\cfrac{-12,5}{\sqrt{12^2+5^2}}\implies \cfrac{-12,5}{13}\implies \boxed{\cfrac{-12}{13}\ ,\ \cfrac{5}{13}}$

4 0

3 years ago

-9(-3k+6w) use w=8 and k=2

Ludmilka [50]

W=8
k=2

-9(-3k+6w)
-9(-3(2)+6(8)
-9(-6+48)
-9(42)
-378

The answer is -378

7 0

3 years ago

I need step by step please 3(x-2)^2+1=13

Romashka-Z-Leto [24]

Answer:

$x_{1} = 0. \: \: \: x_{2} = 4$