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2 years ago

Given the conversion factors 12 in/1 ft and 3.28 ft/1 m, which line segment is longer?

Mathematics

2 answers:

chubhunter [2.5K]2 years ago

8 0

Answer:

Line segment A

Step-by-step explanation:

The apostrophe symbol represents feet.

1 meter can be converted into 3.28'

Since 5.5' > 3.28', Line segment A is larger

Dvinal [7]2 years ago

8 0

The correct answer is A

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Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius . One day the high tempe

bazaltina [42]

The high temperature is 35 degree celsius

Solution:

Given that, Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius

Let "f" be the temperature in degree Fahrenheit

Let "c" be the temperature in degree celsius

Therefore,

Temperature in degrees Fahrenheit = 32 + $\frac{9}{5}$ times the temperature in degrees Celsius

$f = 32 + \frac{9}{5} \times c$

One day the high temperature in Edison. Nj was 95 degrees Fahrenheit

f = 95 ; c = ?

Substitute f = 95 in above equation

$95 = 32 + \frac{9c}{5}\\\\95=\frac{32 \times 5 +9c}{5}\\\\95 \times 5 = 160+9c\\\\475 = 160 + 9c\\\\9c = 475 - 160\\\\9c = 315\\\\c = 35$

Thus high temperature in degrees Celsius is 35 degree celsius

5 0

3 years ago

A hyperbola centered at the origin has a vertex at (9, 0) and a focus at (−15, 0). Which are the equations of the asymptotes? y

chubhunter [2.5K]

Well, we know is centered at the origing, thus h,k are just 0,0.

using the provided vertex and focus point, gives us a distance for "a" of 9 and a distance for "c" of 15, check the picture below.

$\bf \textit{hyperbolas, horizontal traverse axis }\\\\
\cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1
\qquad 
\begin{cases}
center\ ( h, k)\\
vertices\ ( h\pm a, k)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{ a ^2+ b ^2}\\
\textit{asymptotes}\quad 
y= k\pm \cfrac{b}{a}(x- h)
\end{cases}\\\\
-------------------------------$

$\bf \begin{cases}
a=9\\
c=15
\end{cases}\implies c=\sqrt{a^2+b^2}\implies \sqrt{c^2-a^2}=b
\\\\\\
\sqrt{15^2-9^2}=b\implies \sqrt{144}=b\implies \boxed{12=b}\\\\
-------------------------------\\\\
asymptotes\qquad y=0\pm\cfrac{12}{9}(x-0)\implies y=\pm\cfrac{4}{3}x$

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4 years ago

Read 2 more answers

2 (5x + 3) = 15

lawyer [7]

Answer:

D.10x+6=15

Step-by-step explanation:

$2(5x + 3) = 15 \\ { \boxed{ \boxed{10x + 6 = 15}}}$

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3 years ago

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There are a total of 18 monkeys and orangutans in a primate habitat. The monkeys each eat 5 bananas a day, and the orangutans ea

iren2701 [21]

Answer:

Step-by-step explanation:

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3 years ago

How many times does 10 go into 10000

vichka [17]

The correct answer is: 
1000.

Explanation: 
We divide to find the answer to this: $\frac{10000}{10}$ . When we are dividing by 10, we can move the decimal to the left one place; doing this gives us 1000.

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4 years ago