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2 years ago

Find h. 10 cm h = ✓ [?] cm 8 cm

Mathematics

1 answer:

vaieri [72.5K]2 years ago

8 0

Answer:

√86 cm

Step-by-step explanation:

radius² + h² = slope² slope = 10 radius = 4

h² = slope² - radius²

h = √(slope² - radius²)

= √(10² - 4²)

= √ 86

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Determine the equations of the vertical and horizontal asymptotes if any for h(x)=(x+1)^2/x^2-1

shepuryov [24]

ANSWER

Vertical asymptote:

x=1

Horizontal asymptote:

y=1

EXPLANATION

The given rational function is

$h(x) = \frac{ {(x + 1)}^{2} }{ {x}^{2} - 1 }$

$h(x) = \frac{ {(x + 1)}^{2} }{ ({x} - 1)(x + 1)}$

$h(x) = \frac{ (x + 1)(x + 1) }{ ({x} - 1)(x + 1)}$

$h(x) = \frac{ x + 1}{ {x} - 1}$

The vertical asymptote occurs at

${x} - 1 = 0$

$x = 1$

The vertical asymptotes is x=1

The degree of the numerator is the same as the degree of the denominator.

The horizontal asymptote of such rational function is found by expressing the coefficient of the leading term in the numerator over that of the denominator.

$y = \frac{1}{1}$

y=1

8 0

2 years ago

If Hillary spent a total of 4 hours and 35 minutes studying for her Final, how much time, in minutes, did Claudio spend studying

Maru [420]

Hillary spent a total of 275 minutes studying for his Final.

What is unit conversion ?

When a unit conversion is performed, the same property is expressed in a different unit of measurement.

Here it is given that :

Hillary spent a total of 4 hours and 35 minutes studying for her Final

We known that :

1 hours equals 60 minutes

then,

4 hours and 35 minutes will be equals to = 4x60 + 35

= 240 + 35

= 275 minutes

Therefore, Hillary spent a total of 275 minutes studying for his Final.

Learn more on conversion of units here;

brainly.com/question/340715

#SPJ1

6 0

9 months ago

There are 7/8 kilograms of salt in the kitchen. Mrs. Jackson used 2/15 of salt when preparing dinner . How much salt did she use

neonofarm [45]

so since Mrs Jackson used 2/15 of 7/8, the amount she used is simply their product.

$\bf \stackrel{\textit{how much is }\frac{2}{15}\textit{ of }\frac{7}{8}?}{\cfrac{7}{8}\cdot \cfrac{2}{15}}\implies \cfrac{7}{15}\cdot \cfrac{2}{8}\implies \cfrac{7}{15}\cdot \cfrac{1}{4}\implies \cfrac{7}{60}$