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3 years ago

What is the length of the hypotenuse for a right triangle with legs of length 9 and 40? A) 41 B) 43 C) 45 D) 47

Mathematics

1 answer:

Katena32 [7]3 years ago

8 0

Answer:

A) 41

Step-by-step explanation:

Let the hypotenuse be denoted by h

perpendicular as p and base as b

According to the Pythagoras theorem

h²=p²+b²

$h = \sqrt{ {p}^{2} + {b}^{2} }$

$h = \sqrt{ {(40)}^{2} + {(9)}^{2} }$

$h = \sqrt{1600 + 81} = \sqrt{1681}$

$h = 41$

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Answer:

Domain $=(-\infty,\ \infty)$

Range $=(-\infty,\ \infty)$

Step-by-step explanation:

Domain : Domain of a function $f(x)$ is the set of all possible values of $x$ for which $f(x)$ exists.

Range : range of a function $f(x)$ is the set of all possible values of $f(x)$ .

Here $f(x)=36-3x$

$x$ can be any value from $-\infty$ to $\infty$ .

$\forall\ x=a\ there\ exists\ f(x)\ such\ that\ f(a)=36-3a$

hence possible value of $x$ can be any value between $-\infty$ and $\infty$

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let $y=-f(x)$

$y=36-3x\\3x=36-y\\\\\\x=\frac{36-y}{3}\\$

so $\forall\ f(x)=y\ there\ exist\ x\ \in(-\infty,\ \infty)$ .

hence $f(x)$ can have any value between $-\infty\ to\ \infty.$ .

Range $=(-\infty,\ \infty)$

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A person gets on and off a bathroom scale four times. The four readings (in pounds) are 148, 151, 150, and 152. Each time after

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Answer:

See explanation below

Step-by-step explanation:

Since each time after the person gets off the scale, the reading is 2 lb the person's weight must be near the mean of

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We could estimate the uncertainty as the standard error SE

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n = 4 sample size.

Computing s:

$\bf s=\sqrt{\frac{(146-148.25)^2+(149-148.25)^2+(148-148.25)^2+(150-148.25)^2}{4}}=1.479$

So, the uncertainty is 1.479/2 = 0.736

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