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Mashcka [7]
3 years ago
7

Find the ares of a sector with the central angle of 200 and a diameter of 5.3 cm. Round to the nearest tenth

Mathematics
1 answer:
lana66690 [7]3 years ago
6 0

Answer:

12.3

Step-by-step explanation:

In order to find the solution.

1. You need to memorize the formula for the area of a sector, which is

   (central angle/360) * pi (r)^2

2. You then plug in the variables carefully.

    * You were given the diameter. Transform the diameter into radius by diving the diameter by two

     (200/360) * pi (2.65)^2

3. Simplify and round to nearest tenth

    12.3

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A ship leaves port and travels due west for 30 knots, then changes course to S 30° W and travels 50 more knots. Find the bearing
leva [86]

Answer:

  232°

Step-by-step explanation:

There are a couple of ways to find the desired direction. Perhaps the most straightforward is to add up the coordinates of the travel vectors.

  30∠270° +50∠210° = 30(cos(270°), sin(270°)) +50(cos(210°), sin(210°))

  = (0, -30) +(-43.301, -25) = (-43.301, -55)

Then the angle from port is ...

  arctan(-55/-43.301) ≈ 231.79° . . . . . . . 3rd quadrant angle

The bearing of the ship from port is about 232°.

_____

<em>Comment on the problem statement</em>

The term "knot" is conventionally used to indicate a measure of speed (nautical mile per hour), not distance. It is derived from the use of a knotted rope to estimate speed. Knots on the rope were typically 47 ft 3 inches apart. As a measure of distance 30 knots is about 1417.5 feet.

5 0
3 years ago
-52 times the difference between a number and 14 is equal to the number plus 3
xenn [34]
X=number looked for
we have this equation:
-52(x-14)=x+3
we solve this equation:
-52x+728=x+3
-52x-x=3-728
-53x=-725
x=-725/-53=725/53 ≈13,68

Solution: 725/53

To check:
the difference between 725/53 and 14=725/53  - 14=(725-742)/53=-17/53
-52 times the diference is= -52(-17/53)=884/53
The number plus 3=725/53 + 3=(725+159)/53=884/53
3 0
3 years ago
Simplify [view attached image]
pav-90 [236]

<u>Given</u>:

The given expression is (\sqrt{5})( \sqrt[3]{5})

We need to simplify the given expression.

<u>Simplification</u>:

Let us simplify the given expression.

Rewriting the given expression, we have;

5^{\frac{1}{2}} \cdot 5^{\frac{1}{3}}

Let us apply the exponent rule \:a^b\cdot \:a^c=a^{b+c}, we get;

5^{\frac{1}{2}+\frac{1}{3}}

Taking LCM, we have;

5^{\frac{3+2}{6}}

Simplifying, we get;

5^{\frac{5}{6}}

Thus, the simplified value of the given expression is 5^{\frac{5}{6}}

Hence, Option a is the correct answer.

6 0
3 years ago
A store charges 7% sales tax. Which expression can be used to find the total cost of an item with a price of p?
sergiy2304 [10]

Answer:

0.07.

Step-by-step explanation:

Below. Lets say 1 is 100 dollars sale tax. If 1 is 100 7 would be 7.00

4 0
3 years ago
If point N is the incenter of triangle HIJ, Angle KHN = 15*, Angle KIL = 66®, and Angle LJN = 27. What is the degree measure
jenyasd209 [6]
It looks like there aren't many great matches for your search
6 0
3 years ago
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