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2 years ago

A ship is stationary at sea.

Mathematics

1 answer:

Leni [432]2 years ago

8 0

The distance of the yacht from the ship is 35 km

<h3>How to determine the distance?</h3>

See attachment for the diagram that represents the given parameters.

The distance of the yacht from the ship is then calculated using the following law of cosine.

YS^2 = ST^2 + YT^2 - 2 * ST * YT * cos(T)

This gives

YS^2 = 24^2 + 12^2 - 2 * 24 * 12 * cos(155)

Evaluate the exponents and the products

YS^2 = 576 + 144 + 522

Evaluate the sum

YS^2 = 1242

Take the square root of both sides

YS = 35

Hence, the distance of the yacht from the ship is 35 km

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Erin invested 15000 some at 5 percent and some at 8 percent annual interest if she recieves an annual return of 930 dollars how

eduard

.08x+.05(15000-x)=930
.08x+750-.05=930
.08x-.05x=930-750
.03x=180
X=180/.03=6,000 at 8%
(15000-6000)=9000 at 5%

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3 years ago

Which statement correctly identifies the line of reflection?

Alchen [17]

Answer:

the triangles are reflected across the line y= -x

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Step-by-step explanation:

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3 years ago

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Answer:

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4 years ago

Match these together

MrMuchimi

1. C
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3. B
3. D

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6 0

3 years ago

A man has 1 coins in his pocket, all of which are dimes and quarters. Aif the total value of his change is $2.75, how many dimes

VLD [36.1K]

Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Variable x: number of dimes in his pocket.

Variable y: number of quarters in his pocket.

He has a total of 14 coins, hence:

x + y = 14 -> y = 14 - x.

They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:

0.1x + 0.25y = 2.75

Since y = 14 - x:

0.1x + 0.25(14 - x) = 2.75

x = (0.25*14 - 2.75)/0.15.

x = 5.

y = 14 - x = 14 - 5 = 9.

There are 5 dimes and 9 quarters in his pocket.

More can be learned about a system of equations at brainly.com/question/24342899

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2 years ago