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ira [324]
2 years ago
13

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

<em><u>Solution:</u></em>

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 }\\\\&#10;\cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1&#10;\qquad &#10;\begin{cases}&#10;center\ ( h, k)\\&#10;vertices\ ( h\pm a,  k)\\&#10;c=\textit{distance from}\\&#10;\qquad \textit{center to foci}\\&#10;\qquad \sqrt{ a ^2+ b ^2}\\&#10;\textit{asymptotes}\quad  &#10;y= k\pm \cfrac{b}{a}(x- h)&#10;\end{cases}\\\\&#10;-------------------------------

\bf \begin{cases}&#10;a=9\\&#10;c=15&#10;\end{cases}\implies c=\sqrt{a^2+b^2}\implies \sqrt{c^2-a^2}=b&#10;\\\\\\&#10;\sqrt{15^2-9^2}=b\implies \sqrt{144}=b\implies \boxed{12=b}\\\\&#10;-------------------------------\\\\&#10;asymptotes\qquad y=0\pm\cfrac{12}{9}(x-0)\implies y=\pm\cfrac{4}{3}x

3 0
4 years ago
Read 2 more answers
2 (5x + 3) = 15
lawyer [7]

Answer:

<u>D.10x+6=15</u>

Step-by-step explanation:

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

3 0
3 years ago
Read 2 more answers
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:

18

Step-by-step explanation:

4 0
3 years ago
How many times does 10 go into 10000
vichka [17]
<span><u><em>The correct answer is: </em></u>
1000.

<u><em>Explanation</em></u><span><u><em>: </em></u>
We divide to find the answer to this: </span></span>\frac{10000}{10}<span><span>. When we are dividing by 10, we can move the decimal to the left one place; doing this gives us 1000.</span></span>
6 0
4 years ago
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