URGENT!!!! A ship sails due east from point A for 30 miles. It then
adjusts its course 10° to the north and travels 20 miles to point
B. How far is point A from point B? Estimate the answer to the
nearest tenth. Don't forget the units.

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Answer:

  (a) 38.3 m horizontal distance

  (b) 82.1 m high

Step-by-step explanation:

I like a graphical solution to this problem (attached).

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If you define h as the horizontal distance to the tower, and t as its height, you can write two equations. Since these sides are adjacent and opposite the given angles, the tangent relationship is useful.

  tan(65°) = t/h

  tan(40°) = (t -50)/h

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Multiplying both equations by h and substituting for t, we have ...

  h·tan(40°) = h·tan(65°) -50

  h = 50/(tan(65°) -tan(40°)) . . . . solve for h

  h ≈ 38.3022

Then the tower height is ...

  t = h·tan(65°) ≈ 82.1394

The tower is about 38.3 m distant and 82.1 m high.

Answer:

3.75 cm³

Step-by-step explanation:

Each cube has equal sides of 1/2 cm

Length of the rectangular prism = 1/2 cm * 5

= 2.5 cm

Width of the rectangular prism = 1/2 cm * 2

= 1 cm

Height of the rectangular prism = 1/2 cm × 3

= 1.5 cm

Volume of the rectangular prism = length × width × height

= 2.5 cm * 1 cm * 1.5 cm

= 3.75 cm³

Volume of the rectangular prism = 3.75 cm³

Answer:

There are 245 expected defective chips in the batch

Step-by-step explanation:

From the question, we have that in a batch of computer chips, it is expected that a third is defective

Now, in this present batch, there are 735 chips

The number of defective chips is a third of this

Thus, we have the number of defective chips as;

1/3 * 735 = 245 chips

Answer:

4) A) cuttings

5) B) pollinated

9) C) heredity

Step-by-step explanation:

Answer:

1) A.

2) B.

3) C.

I hope this helps.

Please mark me the Brainliest!

Answer:

If you slice a rectangular pyramid parallel to the base, you get a smaller rectangle as the cross-section.

Answer:

A rectangle

Step-by-step explanation:

A cross section parallel to the base of a pyramid will be a similar shape as the base of the pyramid.  In this case, a rectangle.

Answer:

If I got this wrong pls dont get mad but I think the answer 150

Answer:

400 grams

Step-by-step explanation:

If the equation is density = mass / volume, fill it out to find mass

10 = x / 40

400 = x

x = 400 g

Answer:2 feet i think?

Step-by-step explanation:

sorry need points

ANSWER: the amount an individual earns after subtracting all expenses, taxes and costs.

Answer:

He gave 46 to Tom

Step-by-step explanation:

He started is 51 notebooks- 15 + 17 + 19 = 51

He then gave some away until he only had 5 left 51 - 5 = 46

He gave 46 to Tom

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

(2p^3 · 2p)^2  We are gonna be simplifying

(4p^4)^2

Step 2

(4p^4)(4p^4)

16p^8

So therefore your answer would be 16p^8

Hope this helps

Answer:

728 km / lit

Step-by-step explanation:

kilometers per liter = kilometers / liters

k/l = 484848 / 666

kilometers per liter = 728

Answer: The answer is 8 kilometers

Step-by-step explanation:

khanacademy

Answer:

Step-by-step explanation:

8x^3 - 12x^2 - 2x + 3

4x^2(2x - 3) - 1( 2x - 3)

(4x^2 - 1)(2x - 3)

(2x - 1)(2x + 1)(2x - 3)

Answer:

[tex](2x - 1)(2x + 1)(2x - 3) \\ [/tex]

Step-by-step explanation:

[tex]8 {x}^{3} - 12 {x}^{2} - 2x + 3 \\ 4 {x}^{2} (2x - 3) - 1(2x - 3) \\ (4 {x}^{2} - 1)(2x - 3) \\ ( {2}^{2} {x}^{2} - {1}^{2} )(2x - 3) \\ (2x - 1)(2x + 1)(2x - 3)[/tex]

hope this helps you

can I have the brainliest please?

Answer:37 1/2

Step-by-step explanation:

You need to undo the volume and then find the surface area. you need to find the thing before the volume byy eversing S^3 then you do the foumla to get 37 1/2

Answer: I need more context

Step-by-step explanation:

Answer:

It would probably be C

Answer:

2 miles

Step-by-step explanation:

Given that :

Distance from home to store and back = 1/2 mile

In a week :

Number of times he walked from home to store and back = 1 time

Number of times she rode to store and back = 3 time

Note distance does not change whether she rode or walked:

Hence,

miles walked = 1/2 miles * 1 = 1/2 miles

Miles biked = 1/2 miles * 3 = 3/2 miles

Total Number of miles :

(1/2 + 3/2) = (1 + 3) /2 = 4/2 = 2 miles

Answer:

32/3 cubic

Step-by-step explanation:

D.32/3

32/3=32:2= D.8 units

Answer: This means that the population increased a 20% between the year 2000 and the year 2010.

Step-by-step explanation:

In this case, we have that 25,000 is the 100%.

Now we want to know which percentage represents 30,000

Let's suppose that the percentage is X.

Then we can have a system of equations:

30,000 = X

25,000 = 100%

To find the value of X, we can take the quotient of these two equations:

30,000/25,000 = X/100%

(30,00/25,000)*100% = X = 120%

Then in the 2000 we had a 100%, and in the 2010 there was a 120%.

The difference is:

120% - 100% = 20%

This means that the population increased a 20% between the year 2000 and the year 2010.

Answer:

119.816

Step-by-step explanation:

Given the data :

123.6, 225.1, 324.8, 422.9, 524.2

Mean absolute deviation (MAD) :

Σ|x - m| / n

m = mean = ΣX / n

n = same size = 5

m = 1620.6 / 5 = 324.12|

[|123.6 - 324.12| + |225.1 - 324.12| + |324.8 - 324.12| + |422.9 - 324.12| + |524.2 - 324.12|] / 5

= 119.816

Answer:

x=68

Step-by-step explanation:

let y equal the vertical angles

49+55+ y= 180

y=76

vertical angles are equal

35+76+x=180

x=68

Answer:

4) 6(x+3y)

5) 3b(a+c)

6) 6a(x−2y)

7) 6a(a−2)

8) 7x(x−4)

9) 5x(3x+5y)

Step-by-step explanation:

6x+18y

you find what goes into that number

for example 6 goes into 18, 3 times

so you can keep the 6

next you put the x and plus stays the same

as we said before 6 goes into 18, 3 times so we put the 3 and y next

so this is the equation

6(x+3y)

6 times x = 6x

6 times 3 = 18

y and plus stay the same

brackets shows that your timesing the numbers

i hope this makes sence tried my best not to waffle :)

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Answer:

  B.  3, 4, 5

Step-by-step explanation:

The Pythagorean triple (3, 4, 5) is the only Pythagorean triple that is an arithmetic sequence. It is also the triple with the smallest integers. It is useful to remember this triple, as it is seen a lot in algebra, geometry, and trig problems.

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Side length 1, 2, 3 do not form a triangle.

Side lengths 5, 6, 7 form an acute triangle.

Side lengths 3, 4, 5 form a right triangle.

Answer:

Given pentagon

Sum of interior angles:

Sum of exterior angles is same for any polygon:

Given hexagon

Sum of interior angles:

Sum of interior angles of a given hexagon: