Solve x2+2x+1=17 for x.

Mumz [18]

Answer:

Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.

How far away is the submarine from the two ships? Round to the nearest hundredth of a foot.

The distance from ship A to the submarine is about

feet.

The distance from ship B to the submarine is about

feet.

Step-by-step explanation: answer this and ill answer yours.

7 0

3 years ago

If 2 inches is about 5.08 centimeters, about how many inches is 32 centimeters? Round your answer to the nearest hundredth if ne

tiny-mole [99]

Answer:

12.60 inches

Step-by-step explanation:

Divide 5.08 by 2 to get 2.54. This means that for every 1 inch, there is 2.54 centimeter. Using this rule, we divide 32 by 2.54 to get 12.598 inches, or 12.60 if we round to the nearest hundredth.

3 0

3 years ago

What is the relationship between area in the scale drawing and area on the on the actual tennis court if the scale is 1in.: 5ft.

sveticcg [70]

Given:

Length of the scale = 15.6 in.

Width of the scale = 7.2 in.

Scale of drawing = 1 in. : 5ft.

To find:

The ratio of area of the actual court to the area of the drawing (as a unit rate).

And to check whether it is the same as the ratio of length of the actual court to the length of the drawing.

Step-by-step explanation:

We have,

1 in. = 5ft.

Now, using this scale we get

15.6 in. = (15.6 × 5) ft =78 ft.

7.2 in. = (7.2 × 5) ft = 36 ft.

So, the actual length and width of tennis court are 78 ft and 36 ft respectively.

Area of actual tennis court is

$Area=length\times width$

$Area=78\times 36$

$Area=2808\text{ ft}^2$

The area of drawing is

$Area=15.6\times 7.2$

$Area=112.32\text{ in.}^2$

Now, ratio of area of the actual court to the area of the drawing (as a unit rate) is

$\dfrac{2808}{112.32}=\dfrac{25}{1}=25:1$

Ratio of area is 25:1 and ratio of length is 5:1 both area not same.

Therefore, the ratio of area of the actual court to the area of the drawing (as a unit rate) is 25:1.

7 0

3 years ago

Nita wants to buy a new keyboard for her computer. She will buy the keyboard when it is on sale for under $50\$50 $50 dollar sig

Lerok [7]

Answer:

$k$

Step-by-step explanation:

We are told that Nita wants to buy a new keyboard for her computer. She will buy the keyboard when it is on sale for under $50.

Let k be the price in dollars at which Nita will buy the keyboard. Nita will buy the keyboard when its price is less than 50. So we can write our inequality as:

$k$

Therefore, our desired inequality will be $k$ .

5 0

3 years ago

Read 2 more answers

The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.

Irina-Kira [14]

Answer:

Radius - 4

Apothem - 2

Area - $12\sqrt{3}$ or 20.8

Step-by-step explanation:

Try to draw out my explanation so you know what this looks like.

~~~~

This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...

$12\sqrt{3} \div3 = 4\sqrt{3}$

Now that we know the side lengths, we can get this started!

~~~~

Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.

4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.

$Small=2\sqrt{3} \\Hypotenuse = 4\sqrt{3} \\Long =6$

By the way, the formula for the area can be either of the two:

$A= \frac{1}{2} bh\\or\\A = \frac{1}{2} NAS$

we can easily find the area using the first formula.

$A= \frac{1}{2} (4\sqrt{3} )(6)\\A=12\sqrt{3}$

The radius is the distance from the center to the corners & the apothem is the distance from the center to a side...

So we can divide the big triangle into a mini triangle at the bottom left/right

The height (small leg) of that triangle would be the apothem

The hypotenuse of that triangle would be the radius.

I did the math really quick because this is getting long. Anyhow, the small leg is 2 so is the apothem, and the hypotenus is 4, so is the radius

Happy April Fool's btw, lol.

4 0

3 years ago