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dem82 [27]
2 years ago
12

Answers to question 1, a,b,c,d,e and f

Mathematics
1 answer:
denpristay [2]2 years ago
6 0
No idea I don't know the answer
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Inverse Variation
AURORKA [14]
(1)\\R\cdot I=a\ \ \ \ and\ \ \ 50\cdot 0.15=a\\\\ \ \Rightarrow\ \ \ a=7.5\ \ \ \Rightarrow\ \ I= \frac{7.5}{R} \ \ \ \Rightarrow\ \ \ Ans.\ A.\\\\(2)\\x\cdot y=a\ \ \ and\ \ \ 8\cdot6=a\\\\ \ \Rightarrow\ \ \ a=48\ \Rightarrow\ \ \  xy=48\ \ \ \Rightarrow\ \ \ 10y=48\ \Rightarrow\ \ \ y=4.8\ \Rightarrow\ \ \ Ans.\ D.\\\\(3)\\xy=-12\ \ \Rightarrow\ \ \ constant=-12\ \ \Rightarrow\ \ \ Ans.\ D.\\\\

(4)\\xy=-12\\\\e.g.:\ \ \ x=3\ \ and\ \ y=-4\ \ \ \ or\ \ \ \ x=-3\ \ and\ \ y=4\ \ \Rightarrow\ \ Ans.\ A.\\\\(5)\\V\cdot T=a\ \ \ and\ \ \ 18\cdot 3=a\\\\ \ \ \Rightarrow\ \ \ a=54\ \ \ \Rightarrow\ \ \ V\cdot T=54\ \ \ \Rightarrow\ \ \ V= \frac{54}{T} \ \ \ \Rightarrow\ \ \ Ans.\ C.
5 0
3 years ago
ZA<br> Round your answer to the nearest hundredth.
Ahat [919]

Answer:

<em>A = 48.81°</em>

Step-by-step explanation:

<u>Angles in a Right Triangle</u>

When the side lengths of a right triangle are known and an angle must be determined, we can use the trigonometric ratios that relate angles and sides.

The tangent ratio is defined as:

\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}

Opposite leg to angle A is 8 and adjacent leg is 7, thus:

\displaystyle \tan A=\frac{8}{7}

Using the inverse tangent funcion:

\displaystyle A=\arctan\frac{8}{7}

Calculating:

A = 48.81°

5 0
2 years ago
The volume of a cube is 1 cubic foot. What is the length of each side of the cube
Alona [7]

Answer:

1

Step-by-step explanation:

7 0
2 years ago
What is the volume of a block of ice measuring 3 meters long, 1.5 meters wide, and 2 meters high?
vekshin1
The volume would be 9meters³

3x1.5x2
8 0
2 years ago
Read 2 more answers
Evaluate the limit as x approaches 0 of (1 - x^(sin(x)))/(x*log(x))
e-lub [12.9K]
sin~ x \approx x ~ ~\sf{as}~~ x \rightarrow 0

We can replace sin x with x anywhere in the limit as long as x approaches 0.

Also,

\large  \lim_{ x \to 0  } ~  x^x = 1

I will make the assumption that <span>log(x)=ln(x)</span><span>.

The limit result can be proven if the base of </span><span>log(x)</span><span> is 10. 
</span>
\large \lim_{x \to 0^{+}} \frac{1- x^{\sin x} }{x  \log x }  \\~\\  \large = \lim_{x \to 0^{+}} \frac{1- x^{\sin x} }{ \log( x^x)  }   \\~\\  \large = \lim_{x \to 0^{+}} \frac{1- x^{x} }{ \log( x^x)  }  ~~ \normalsize{\text{ substituting x for sin x } } \\~\\   \large  = \frac{\lim_{x \to 0^{+}} (1) - \lim_{x \to 0^{+}} \left( x^{x}\right) }{ \log(  \lim_{x \to 0^{+}}x^x)  } = \frac{1-1}{\log(1)}   = \frac{0}{0}

We get the indeterminate form 0/0, so we have to use <span>Lhopitals rule 

</span>\large \lim_{x \to 0^{+}} \frac{1- x^{x} }{ \log( x^x)  } =_{LH} \lim_{x \to 0^{+}} \frac{0 -x^x( 1 + \log (x)) }{1 + \log (x)  }   \\ = \large \lim_{x \to 0^{+}} (-x^x) = \large - \lim_{x \to 0^{+}} (x^x) = -1
<span>
Therefore,

</span>\large \lim_{x \to 0^{+}} \frac{1- x^{\sin x} }{x  \log x }  =\boxed{ -1}<span>
</span>
3 0
2 years ago
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