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Akimi4 [234]
3 years ago
15

Two ships leave the same port in different directions, forming a 120° angle between them. One ship travels 70 mi. and the other

52 mi. before they each drop their anchors. What is the distance between the ships to the nearest mile?
Mathematics
2 answers:
Sophie [7]3 years ago
7 0
Answer: The distance between the ships will be about 106.04 miles.

To do this problem, we will need to use the Law of Cosines. We have all the values we need, we just have to enter them and evaluate.

Our missing side will be called c and the equation will be:

c^2 = 70^2 + 52^2 - 2(70)(52)(Cos120)
c^2 = 4900 + 2704 + 3640
c^2 = 11244
c = 106.04
m_a_m_a [10]3 years ago
6 0

Answer:

1. A

2. D

3. A, E, F

4. C

Step-by-step explanation:

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enyata [817]

first one if u solve for y is   y=4x-8

solve for x is x =y/4+2

second one is if u solve for y is y=2x

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Step-by-step explanation:

hope this help

4 0
3 years ago
The most popular mathematician in the world is throwing aparty for all of his friends. As a way to kick things off, they decidet
ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

n = 10

r= 2

Substitute the values in the formula

^{10}C_{2}=\frac{10!}{2!(10-2)!}

^{10}C_{2}=\frac{10!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}

^{10}C_{2}=45

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0
3 years ago
How can the logarithmic expression be rewritten?<br><br> Select True or False for each statement.
topjm [15]

Answer:

True, True, False

Step-by-step explanation:

5 0
2 years ago
The formula for the volume of a rectangular prism is V = lwh. Which is the equivalent equation solved for h?​
wel

Answer:

V /(lw) = h

Step-by-step explanation:

V = lwh

Divide each side by lw

V/ ( lw) = lwh/(lw)

V /(lw) = h

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3 years ago
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Aliun [14]

Answer:

Step-by-step explanation:

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3 years ago
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