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jasenka [17]
3 years ago
11

3 1 -- + -- =4 8Pls answer quickly

Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

Answer:

79

Step-by-step explanation:

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6) Two boats set off from X at the same
lord [1]

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = \frac{distance}{time}

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

              = 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

              = 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

a^{2} = b^{2} + c^{2} - 2bc Cos A

x^{2} = 45^{2} + 35^{2} - 2(45 x 35) Cos 90^{o}

   = 2025 + 1225 - 3150 (0)

   = 3250

x = \sqrt{3250}

  = 57.0088

x = 57.0 m

The distance between the two boats after 2.5 hours is 57 m.

4 0
3 years ago
An equation for the depreciation of a car is given by y=A(1-r)t where y=current value of the car.A=original cost r=rate of depre
Ann [662]
<h3>Answer: Approximately 6.58 years old</h3>

The more accurate value is 6.57881347896059, which you can round however you need. I picked two decimal places.

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

Explanation:

Let's pick a starting value of the car. It doesn't matter what the starting value, but it might help make the problem easier. Let's say A = 1000. Half of that is 1000/2 = 500.

So we want to find out how long it takes for the car's value to go from $1000 to $500 if it depreciates 10% per year.

The value of r is r = 0.10 as its the decimal form of 10%

t is the unknown number of years we want to solve for

---------------------------

y = A(1 - r)^t

500 = 1000(1 - 0.1)^t

500 = 1000(0.9)^t

1000(0.9)^t = 500

0.9^t = 500/1000

0.9^t = 0.5

log( 0.9^t ) = log( 0.5 )

t*log( 0.9 ) = log( 0.5 )

t = log( 0.5 )/log( 0.9 )

t = 6.57881347896059

Note the use of logs to help us isolate the exponent.

6 0
3 years ago
A certain paint is to be mixed with 3 parts yellow to 2 parts blue. Twelve gallons of mixed paint are needed.
aksik [14]

Answer:

4.8

There You go

7 0
3 years ago
Read 2 more answers
Rab has trouble remembering the difference between addition of a positive and
vesna_86 [32]

Addition of a positive and negative number always means that you are going to subtract the number e. g. 4+-1 = 3. However, multiplication of a positive and negative number means the answer is always negative e. g. 5 x - 3 = - 15.

5 0
3 years ago
How do i solve 2(x-5)+3x=15
Savatey [412]
The answer is x=5 do u need steps?
5 0
3 years ago
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