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hichkok12 [17]
3 years ago
9

A motorboat takes

Mathematics
1 answer:
nignag [31]3 years ago
5 0
<span>A motorboat takes 3 hours to travel 144 mi going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current? 
----------------
144/3 = 48 mph upstream

</span><span>144/2 = 72 mph downstream
The boat's speed is the average = 60 mph
The current is the difference = 72-60 = 12 mph</span><span>

</span>
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Marks's dad drove 123 miles in 2 hours. At that rate, how many miles would he drive in 5 hours?
mihalych1998 [28]

Answer:

307.5

Step-by-step explanation:

He drove 123 miles in 2 hours. If you go 100 miles in 2 hours that means you went 50 miles in one hour right? Using the same logic we can convert 123 miles in 2 hours to 61.5 miles per hour and then multiply it by 5.

4 0
2 years ago
4x^2-20=5 solve by using the square root property
riadik2000 [5.3K]

Step-by-step explanation:

4x^2 - 20 = 5

4x^2 -25 = 0

4x^2 = 25

2x = 5, or -5

x = 5/2 , or -5/2

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3 years ago
Write expression as a sine or cosine of an angle.<br>cos 94° cos 18° + sin 94° sin 18° ​
MArishka [77]
<h3>Answer:  cos(76)</h3>

=========================================================

Explanation:

The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

cos(A)cos(B) + sin(A)sin(B) = cos(A - B)

cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)

cos(94)cos(18) + sin(94)sin(18) = cos(76)

----------

We can verify this by use of a calculator. Make sure your calculator is in degree mode.

  • cos(94)cos(18) + sin(94)sin(18) = 0.24192
  • cos(76) = 0.24192

Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.

6 0
2 years ago
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X= - 7/2
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3 0
3 years ago
Read 2 more answers
Simplify −0.5(6.5). (5 points) a −3.5 b −3.25 c 3.25 d 3.5
VMariaS [17]

Answer:

B. -3.25

Step-by-step explanation:

Multiplying by 0.5 is the same as divided by 2.

*Dont forget the negative.

-0.5(6.5)= 6.5/-2 = -3.25

5 0
3 years ago
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