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3 years ago

Duane bought 68 and3/4 inches of chain for an art project. How many 15 inches chains can he make from it

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

4 0

They could at least make 4 15 inches of chains

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Between Monday and Tuesday, Henry swam a total of 4 3⁄9 miles. If he swam 2 7⁄9 miles on Monday, how many miles did he swim on T

Reil [10]

He would have swam 1 5/9 miles

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3 years ago

In a capture-recapture study, 97 grizzly bears were tagged and released back into the wild. A month later, 200 bears were captur

3241004551 [841]

Answer:

539

Step-by-step explanation:

Let the total population of grizzly bears=x

In the first capture, 97 were tagged.

Therefore, ratio of the total population to the tagged=x:97

A month later, when 200 bears were captured, 36 were tagged.

Ratio of the sample to the tagged=200:36

Since a sample is representative of the population, the ratios are the same. We therefore have:

x:97=200:36

$\dfrac{x}{97} =\dfrac{200}{36}\\ $Cross multiply\\36x=200 X 97\\x=200 X 97 \div 36\\x=538.9 \approx 539$

There are about 539 grizzly bears in the population

7 0

3 years ago

Find m∠H. Put the answer below.<br> m∠H =

Pavlova-9 [17]

Answer:

30°

Step-by-step explanation:

$\tan (m\angle H) = \frac{IJ}{JH} \\ \\ \implies \: \tan (m\angle H) = \frac{ \sqrt{10} }{ \sqrt{30} } \\ \\\implies \: \tan (m\angle H) = \frac{{1} }{ \sqrt{3} } \\ \\ \implies \: \tan (m\angle H) = \tan 30 \degree \\ \\ \implies \: m\angle H = \boxed{30} \degree$

6 0

2 years ago

Find the vertex, focus, directrix, and focal width of the parabola. (5 points)

Anarel [89]

$\bf \textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf -\cfrac{1}{20}x^2=y\implies \cfrac{x^2}{-20}=y\implies x^2=-20y\implies (x-0)^2=-20(y-0) \\\\\\ (x-\stackrel{h}{0})^2=4(\stackrel{p}{-5})(y-\stackrel{k}{0})$

something noteworthy is that the squared variable is the "x", thus the parabola is a vertical one, the "p" value is negative, so is opening downwards, and the h,k is pretty much the origin,

vertex is at (0,0)

the focus point is "p" or 5 units down from there, namely at (0, -5)

the directrix is "p" units on the opposite direction, up, namely at y = 5

the focal width, well, |4p| is pretty much the focal width, in this case, is simply yeap, you guessed it, 20.

8 0

2 years ago

Celestes bank charges 2.35 for every time she uses the ATM celestes uses the ATM to withdraw 20.00 on Monday and to deposit 75.0

Shkiper50 [21]

Answer:

she used for two times

so 2.35*2=4.7

her account balance charges for 4.7

4 0

2 years ago