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rosijanka [135]
2 years ago
6

A ship is traveling in a circle around the outside rim of an island surveying a good place to land. If it is 6 miles from a ligh

thouse at the center of the island and 120° from due north, how far has the ship traveled from the most northern tip of the island to the nearest tenth?
12.6 miles
3.1 miles
7.2 miles
20.2 miles
Mathematics
1 answer:
grandymaker [24]2 years ago
8 0

Answer: 12.6 miles

Step-by-step explanation:

Here the ship is doing a circular path.

We know that the ship is 120° from the north, and we want to find the distance that the ship has traveled so far from the most northern tip of the island.

This distance will be equal to the length of the arc of 120°

You can find this as:

Arc = (angle*3.14/180)*radius

arc = (120*3.14/180)*6 miles  = 12.56 miles

Now we need to round it to the nearest tenth, so we need to round it up, and we get 12.6 miles

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How do you calculate surface area of trapezium with an angle<br>​
Kay [80]

Answer:  There are eight steps and two methods. I will be showing you one of them. If you're wondering, I am in 7th grade. I go to K12 online school.

Step-by-step Explanation: 1. Add together the lengths of the bases. The bases are the 2 sides of the trapezoid that are parallel with one another. If you aren’t given the values for the base lengths, then use a ruler to measure each one. Add the 2 lengths together so you have 1 value.[1]

For example, if you find that the top base (b1) is 8 cm and the bottom base (b2) is 13 cm, the total length of the bases is 21 (8 cm + 13 cm = 21 cm, which reflects the "b = b1 + b2" part of the equation).
2. Measure the height of the trapezoid. The height of the trapezoid is the distance between the parallel bases. Draw a line between the bases, and use a ruler or other measuring device to find the distance. Write the height down so you don’t forget it later in your calculation.[2]

The length of the angled sides, or the legs of the trapezoid, is not the same as the height. The leg length is only the same as the height of the leg is perpendicular to the bases.

3. Multiply the total base length and height together. Take the sum of the base lengths you found (b) and the height (h) and multiply them together. Write the product in the appropriate square units for your problem.[3]

In this example, 21 cm x 7 cm = 147 cm2 which reflects the "(b)h" part of the equation.

4. Multiply the product by ½ to find the area of the trapezoid. You can either multiply the product by ½ or divide the product by 2 to get the final area of the trapezoid since the result will be the same. Make sure you label your final answer in square units.[4]

For this example, 147 cm2 / 2 = 73.5 cm2, which is the area (A).

7 0
2 years ago
How many years will it take for the account to reach $18,600? Round your answer to the nearest hundredth
Margarita [4]
 <span>it depends how the interest is calculated, but there's not much of a difference 

assuming its continuously compouned, you use this formula: A(t)=Pe^(rt), where A is the final amount, P is the initial investment, r is the interest, and t is the time in years 

you want to find t such that A(t)=18,600 so 18,600=1000e^(.0675t) 

you need to use logarithm to figure it out, take the natural log of both sides 

the following properties will come into use: 

ln(a*b)=ln(a)+ln(b) 
ln(a^b)=bln(a) 
ln(e)=1 

taking the natural log 

ln(18,600)=ln(1000e^(.0675t)) 

ln(18,600)=ln(1000)+ln(e^.0675t) 

ln(18600)=ln(1000) + .0675t 

now solve for t: t= (ln(18600)-ln(1000))/.0675 

t=43.31</span>
4 0
2 years ago
What is the solution set to, "Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each da
Anastaziya [24]

Answer:

Katie will collect more than 100 seashells in 5 and a half days.

Step-by-step explanation:

Katie already has 34 seashells in her collection.

Each day, she finds 12 more seashells on the beach.

Let x be the number of days Katie is collecting seashells.

In x days, she will collect 12x seashells.

In total, she will collect 34+12x seashells.

Katie wants to collect over 100 seashells, so

34+12x> 100

Solve this inequality. Subtract 34:

34+12x-34>100-34\\ \\12x>66\\ \\2x>11\\ \\x>5 \dfrac{1}{2}

Katie will collect more than 100 seashells in 5 and a half days.

3 0
3 years ago
∛(8+3√21) + ∛(8-3√21)<br><br> solve without calculator
kykrilka [37]

Answer:

1

Step-by-step explanation:

I was thinking about it and I prepared my paper and pen and started typing the problem but then I realized this...

<u>8</u><u>+</u><u> </u> and <u>8</u><u>-</u>

Then I was like

OK....

5 0
3 years ago
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Plz help I’ll give brainliest
enot [183]

Answer:

1) not possible 2)f(x)=-2y+2 3)4

Step-by-step explanation:

2x-3=2x-16

6 0
2 years ago
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