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3 years ago

7

A rectangular container has the dimensions 25 cm x 35 cm x 45 cm. If water flows from a faucet at 0.75 gallons/minute, how long

will it take to fill the container? (1.0 in = 2.54 cm, 1.0 gallon = 231 in^3).

1 answer:

love history [14]3 years ago

8 0

Xhbxgxbbdhd,xsmxsj:

sjdnndnfnffFnfnf

Step-by-step explanation:

Rhnf

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How many days in january

sasho [114]

There are 31 days in january

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2 years ago

Read 2 more answers

Find the distance between each pair of points

dolphi86 [110]

Answer: the correct answer is 20

Step-by-step explanation:

The formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Where

x2 represents final value of x on the horizontal axis

x1 represents initial value of x on the horizontal axis.

y2 represents final value of y on the vertical axis.

y1 represents initial value of y on the vertical axis.

From the graph given,

x2 = - 7

x1 = 5

y2 = - 7

y1 = 9

Therefore,

Distance = √(- 7 - 5)² + (- 7 - 9)²

Distance = √(- 12²) + (- 16)²

= √(144 + 256) = √400

Distance = 20

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2 years ago

Find the exact value of the given expression.<br> sin(2cos^-1(5/13))

xeze [42]

Answer:

+120/169 or -120/169

Step-by-step explanation:

let $cos^{-1}[\frac{5}{13} ] = \alpha$

where, alpha is some angle that satisfies the assumed condition.

so, $cos\alpha= 5/13$

[ taking cos to the other side or applying cos on both sides]

now, substitute this in the given expression

$sin(2cos^-1(5/13)) = sin(2\alpha )$

as sin $\beta$ = $+ or -\sqrt{1-(cos\beta) ^{2}$

[by general trigonometry formula: $cos^{2}[\beta] +sin^{2}[\beta]=1$ ]

so if $cos\alpha= 5/13$ , we can get sin $\alpha$ from the above formula as + or - 12/13

(because, after taking square root on both sides we keep + or -]

as, sin $2\beta = 2*sin[\beta ]*cos[\beta ]$

[by general trigonometry formula]

here, now $sin[2\alpha ]=2*(+or- 12/13)*5/13\\$

so, the final value can be 120/169 or -120/169.

4 0

3 years ago

A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex

Roman55 [17]

Answer:

Standard error (S.E) = 0.048 ≅ 0.05

Step-by-step explanation:

<u>Explanation</u>:-

Given sample size 'n'=76

Given the dean who randomly selects 76 students and finds that 58 out of 76 are receiving financial aid.

Sample proportion

$p = \frac{x}{n} = \frac{58}{76} = 0.7631$

The standard error is determined by

$S.E = \sqrt{\frac{p(1-p)}{n} }$

$S.E = \sqrt{\frac{0.763(0.2369}{76} }$

Standard error is 0.048 ≅ 0.05

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3 years ago

4,12,20, 28 nth term

Anna007 [38]

Answer:

8n - 4

Step-by-step explanation:

The numbers here go up in 8, so you have 8n. Afterwards, use the term and the 8 times tables. Eg. 4 is the first term and the first 8 multiple is 8, so 4-8. You have to subtract 4 from 8 to get the first term. Sorry if this didn't help but yeah...

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2 years ago