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aleksandrvk [35]

3 years ago

8

a boat travels 36 miles downstream in 2 hours and returns upstream in 6 hours. find the speed of the current and the speed of th

e boat in still water

1 answer:

Tamiku [17]3 years ago

8 0

Answer:

3 miles per hour stream

Step-by-step explanation:

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Calvin works at smokin sally’s barbecue restaurant and keeps track of the numbers of customers who visit the restaurant over a f

saul85 [17]

Answer:

Step-by-step explanation:

Dbbdhdbjsbsjsbsbns

5 0

3 years ago

A rectangle has a length of 34 inches less than 5 times it’s width. If the area of the rectangle is 867 square inches, find the

pshichka [43]

Length of the rectangle is 51 inches

<u>Solution:</u>

Given that

Length of the rectangle in 34 miles less than 5 times its width

Area of rectangle = 867 square inches

Need to determine length of the rectangle.

Let assume width of the rectangle be represented by variable x.

So 5 times width of the rectangle =5x

34 inches less than 5 times width of the rectangle = 5x – 34

As Length of the rectangle in 34 miles less than 5 times its width

=> Length of the rectangle = 5x – 34

<em><u>The formula for rectangle is given as:</u></em>

$\text { area of rectangle }=length \times width$

As given that Area of rectangle = 867 square inches

$\begin{array}{l}{=>867=(5 x-34) \times(x)} \\\\ {=>5 x^{2}-34 x-867=0}\end{array}$

On solving quadratic equation by using quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In our case a = 5, b = -34 and c = -867

On substituting value of a, b and c in quadratic formula we get

$\begin{array}{l}{x=\frac{-(-34) \pm \sqrt{(-34)^{2}-4 \times 5 \times(-867)}}{2 \times 5}} \\\\ {=>x=\frac{34 \pm \sqrt{18496}}{10}=\frac{34+136}{10}} \\\\ {=>x=\frac{34+136}{10}=17 \text { or } x=\frac{34-136}{10}=-10.2}\end{array}$

Since x represents width, it cannot be negative, so x = 17

Length of the rectangle = 5x – 34 = 5(17) – 34 = 51

Hence length of the rectangle is 51 inches

5 0

3 years ago

In a certain lottery, an urn contains balls numbered 1 to 26. From this urn, 6 balls are chosen randomly, without replacement

expeople1 [14]

Answer:

\frac{1}{230230}

Step-by-step explanation:

Given that in a certain lottery, an urn contains balls numbered 1 to 26

From this urn, 6 balls are chosen randomly, without replacement.

Bet amount 1 dollar and he selects a set of six numbers.

If these match with those chosen from the urn he wins (order does not matter)

Total ways of choosing 6 out of 26 = $26C6 = \frac{26!}{20!6!} \\=230230$

The way he selects = 1

Hence probability of winning = $\frac{1}{230230}$

with one ticket

4 0

3 years ago

84 is 75%, how much is 100%

Afina-wow [57]

La respuesta es 112, es una regla de tres simples

6 0

4 years ago

DESPERATELY NEED HELP

In-s [12.5K]

Remark

You must use the sin law to find this.

$\dfrac{Sin(75)}{22} = \dfrac{Sin(x)}{12}$

Multiply through by 12

12 * $\dfrac{Sin(75)}{22} = \dfrac{Sin(x)}{12}$ *12

$\dfrac{12*sin(75)}{22} = \text{sin(x)}$

0.5269 = sin(x)

Now you have to use the inverse of the sine function.

Use your calculator for that

2nd F

sin-1

(0.5269)

= 31.79 degrees. <<<<<< Answer.

There sometimes is a second answer. I don't think there is in this case.

3 0

3 years ago