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1 year ago

Two patrol boats leave Cape May at the same time, the same speed, but on different bearings. One has bearing 41°45

Mathematics

1 answer:

VMariaS [17]1 year ago

8 0

Based on the information given, the computation shows that the distance between them is 2.47 miles.

<h3>Solving the distance.</h3>

Since one has bearing 41°45', this will be: = 41° + (45/60) = 41° + 0.75 = 41.75°.

The other has bearing 59°13'. This will be:

= 59° + (13/60) = 59° + 0.22 = 59.22°.

The difference of the angles will be:

= 59.22° - 41.75°

= 17.47°

Let the distance between them be represented by c. Therefore, we'll use cosine law to solve the question. This will be:

c² = a² + b² - 2ab cos 17.47°

c² = 20² + 20² - (2 × 20 × 20 × 0.19)

c² = 6.07459

c = 2.47

Learn more about distance on:

brainly.com/question/2854969

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Will give 15 points and brainliest

pentagon [3]

Answer:

1331π cm³

Explanation:

$\sf V_{cylinder} = \pi (radius)^2 (height)$

Here given:

radius: 11 cm
height: 11 cm

Hence find volume:

$\sf \rightarrow\pi (11)^2 (11)$

$\sf \rightarrow 121\pi ( (11)$

$\sf \rightarrow 1331\pi \quad \approx \:\:\ 4181.46 \ cm^3$

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7 months ago

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The measure of one angle of an octagon is two times smaller that of the other seven angles. What is the measure of each angle?

Anestetic [448]

Answer:

7 of the angles measure 144 degrees each and one angle measures 72 degrees

Step-by-step explanation:

Let

x -----> represent the measures of the seven same-size angles,

x/2 ----> represent the measure of the one that is "two times smaller."

we know that

The sum of internal angles of a polygon can be calculated as:

$S=180^o(n-2)$

where

n is the number of sides of the polygon

In this case

n=8 (octagon)

substitute

$S=180^o(8-2)=1,080^o$

The linear equation that represent this problem is

$\frac{x}{2}+7x=1,080$

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$\frac{15x}{2}=1,080\\\\15x=2,160\\\\x=144^o$

$\frac{x}{2}=72^o$

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7 of the angles measure 144 degrees each and one angle measures 72 degrees

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2 years ago

How do I factorise an expression

ololo11 [35]

It factorises to -
4(x+6)

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2 years ago

Ped

Stells [14]

So the correct statement is:

" The GCF of the numbers in each term in the expression is 2"

<h3></h3><h3>How to rewrite the expression as a product?</h3>

Here we have the expression:

12d - 26c

To rewrite ti as a product, we need to find the greatest common factor between 12 and 26.

The decomposition of these two numbers is:

12 = 2*2*3

26 = 2*13

The greatest common factor between the two numbers is 2, then we can rewrite:

12d - 26c = 2*(6d - 13c)

So the correct statement is:

" The GCF of the numbers in each term in the expression is 2"

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1 year ago

Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi.

marishachu [46]

Answer:

$\huge\boxed{\sf d = 141\ feet}$

Step-by-step explanation:

<u>Given Data:</u>

Circumference = C = 443 ft

<u>Required:</u>

Diameter = d = ?

<u>Formula:</u>

d = C / π

<u>Solution:</u>

d = 443 / 3.14

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1 year ago

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