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3 years ago

In problems 1-3, a and b are legs and c is the hypotenuse. Find the missing side length of the

Mathematics

1 answer:

Readme [11.4K]3 years ago

4 0

Answer:

1. b=39.497

2. c=3.606

3. a=18.974

Step-by-step explanation:

41^2-11^2=b^2

1681-121=b^2

b^=1560

b=39.497

2^2+3^2=c^2

4+9=c^2

c^2=13

c=3.606

21^2-9^9=a^2

441-81=a^2

a^2=360

a=18.974

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A 100 cm² b 9 cm² c 225 cm² d 28.26 cm²

nasty-shy [4]

Answer:

28.26 cm^2

Step-by-step explanation:

A = (pi)r^2

A = 3.14 * (3 cm)^2

A = 3.14 * 9 cm^2

A = 28.26 cm^2

6 0

3 years ago

Determine any asymptotes (Horizontal, vertical or oblique). Find holes, intercepts and state it's domain.

vesna_86 [32]

Factorize the denominator:

$\dfrac{x^2-4}{x^3+x^2-4x-4}=\dfrac{x^2-4}{x^2(x+1)-4(x+1)}=\dfrac{x^2-4}{(x^2-4)(x+1)}$

If $x\neq\pm2$ , we can cancel the factors of $x^2-4$ , which makes $x=-2$ and $x=2$ removable discontinuities that appear as holes in the plot of $g(x)$ .

We're then left with

$\dfrac1{x+1}$

which is undefined when $x=-1$ , so this is the site of a vertical asymptote.

As $x$ gets arbitrarily large in magnitude, we find

$\displaystyle\lim_{x\to-\infty}g(x)=\lim_{x\to+\infty}g(x)=0$

since the degree of the denominator (3) is greater than the degree of the numerator (2). So $y=0$ is a horizontal asymptote.

Intercepts occur where $g(x)=0$ ( $x$ -intercepts) and the value of $g(x)$ when $x=0$ ( $y$ -intercept). There are no $x$ -intercepts because $\dfrac1{x+1}$ is never 0. On the other hand,

$g(0)=\dfrac{0-4}{0+0-0-4}=1$

so there is one $y$ -intercept at (0, 1).

The domain of $g(x)$ is the set of values that $x$ can take on for which $g(x)$ exists. We've already shown that $x$ can't be -2, 2, or -1, so the domain is the set

$\{x\in\mathbb R\mid x\neq-2,x\neq-1,x\neq2\}$

8 0

3 years ago

Please help meeee I have 20 minutes to turn this in

lana66690 [7]

Answer:

RSU = 75.2°

Step-by-step explanation:

this is because:

⇒ RSU = RST + TSU

⇒ RSU = 48 + 27.2

⇒ RSU = 75.2°

Hence proved

6 0

4 years ago

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Yoo help a girl out!!! During a snowstorm, Robert tracked the amount of snow on the ground.

nlexa [21]

Answer: Ok, so make a graph on paper. On the vertical line put inches of snow going up by one. Then your horizontal line should be hours. For the first two hours make the line go up steadily by one. Then make your line flat for five hours. Then for another six hours make the line go up by two per hour.

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5 0

3 years ago

PLEASE ANSWER PLEASEE!!!!!!!

Montano1993 [528]

Answer:

they would both be 61°

Step-by-step explanation:

when the angles make out a straight line it equals to 180 and 180 subtracted to 119 comes out to 61 and both b and c are vertical angles which would make them congruent

4 0

3 years ago

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