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2 years ago

A boat travels 45 miles east (right) then 60 miles north (up), how far is it from the starting point?

2 answers:

7 0

A boat travels 45 miles east then 60 miles north, how far is it from where it started. Draw this. The hypotenuse of the right triangle is the square root (45^2)+(60^2)=square root of 2025=3600=square root of 5625, or 75 miles.

Lera25 [3.4K]2 years ago

6 0

Answer:

ok, the boat traveled on 2 lines of a triangle, so use the

Pythagorean Theorem to determine the third side.

75 miles

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Please look at the question in the picture it’s a statistics problem

zubka84 [21]

The probability of the door opening within three attempts is the answer. C

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2 years ago

Hardy is packing his book collection into a box. Each book measures 4inches by 6 inches by 1 inch. The box he uses measures 24 i

netineya [11]

Answer:

1. 192 books.

2. 96 books.

3. 24 books.

Step-by-step explanation:

1. Let's find the volume of each book and the volume of the box, this way:

Volume of a book = 4 * 6 * 1 = 24 inches ³

Volume of the box = 24 * 24 * 8 = 4,608 inches ³

2. If Hardy fills the box completely, what is the greatest number of books that fit into the box?

Greatest number of books = Volume of the box/Volume of a book

Greatest number of books = 4,608/24

Greatest number of books = 192

3. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.

The height of the box is 8 inches, so it can only can hold 2 or 8 layers of books, since the books are 4 * 6 * 1 inches.

Greatest number of layers = Height of the box/Width of a book

Greatest number of layers = 8/1 = 8

Minimum number of layers = Height of the box/Height of a book

Minimum number of layers = 8/4 = 2

Upon saying that, we have:

Number of books per layer = Greatest number of books/Minimum number of layers

Number of books per layer = 192/2 = 96

4. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.

Number of books per layer = Greatest number of books/Number of layers

Number of books per layer = 192/8

Number of books per layer = 24

Note: Same answer to question 14559894, answered by me today.

5 0

3 years ago

Find the value of x x° 66° 117°

pogonyaev

Answer:

x = 51 degrees

Step-by-step explanation:

Keep in mind, the angles of a triangle add up to 180 degrees.

A flat line also equals 180 degrees.

First, we should find the lower left angle. We know that 117 plus that angle is going to be 180, since it's a flat line.

180 - 117 = 63

Now, we just need to find angle x. (All 3 of our angles should add up to 180, knowing this, we can put it in an equation)

63 + 66 + x = 180

Then, you solve for x:

(63+66) + x = 180

129 + x = 180

-129 -129

x = 51

Hope this helps :)

5 0

3 years ago

$650 is invested in an account earning 8.6% interest (APR), compounded monthly. Write a function showing the value of the accoun

IRISSAK [1]

Answer:

The value of the acount after t years is of $A(t) = 650(1.0072)^{12t}$

The annual growth rate is of 0.72%.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$650 is invested in an account earning 8.6% interest (APR), compounded monthly.

This means that $P = 650, r = 0.086, n = 12$ . So

$A(t) = P(1 + \frac{r}{n})^{nt}$

$A(t) = 650(1 + \frac{0.086}{12})^{12t}$

$A(t) = 650(1.0072)^{12t}$

The value of the acount after t years is of $A(t) = 650(1.0072)^{12t}$

Annual growth rate

1.0072 - 1 = 0.0072 = 0.72%

The annual growth rate is of 0.72%.

5 0

2 years ago

could you possibly help me with this question? (its not part of a graded assignment, just a review from an online course of mine

Virty [35]

Let:

x = Pounds of walnuts in the mix.

Each pound of walnuts costs $0.80. thus x pounds of walnuts cost 0.8x dollars.

Each pound of cashews costs $1.25 and the mix will contain 8 pounds of cashews, so the cost is 8*$1.25 = $10

The total cost of the mix is, therefore: 0.8x + 10 dollars.

We are also given the pound of mix costs $1.00 and we have a total of 8 + x pounds, so the total cost of the mix is 1*(8 + x) dollars.

Equating both costs:

0.8x + 10 = 1*(8 + x)

Operating:

0.8x + 10 = 8 + x

Subtracting x and 10:

0.8x - x = 8 - 10

Simplifying:

-0.2x = -2

Dividing by -0.2:

x = -2/(-0.2)

x = 10

Answer: 10 pounds

8 0

1 year ago

A boat travels 45 miles east (right) then 60 miles north (up), how far is it from the starting point?​

A boat travels 45 miles east (right) then 60 miles north (up), how far is it from the starting point?