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Alona [7]
3 years ago
10

Tom starts at point A and then walk 3km east to point B and then walks 4km north to point C calculate the bearings and distance

of point C to point A
Mathematics
1 answer:
sergejj [24]3 years ago
4 0

Answer:

5km

Step-by-step explanation:

Please check the attached image for a diagram explaining this question

The distance from A to C can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

3² + 4²

= 16 + 9

= 25

determine the square root of 25

√25 = 5km

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Ken started a savings account for school. He plans on spending 10% of the money he earns for leisure activities. He needs to hav
uranmaximum [27]

Answer:

$2,400

Step-by-step explanation:

Ken intends to start a savings account

10% = leisure spending

This means 90% = Expenses for school

Let us represent the amount he must save as : x

Hence in other for him to have $2,160 in his savings account, the amount Ken must earn is calculated as:

90/100 × x = $2,160

Cross Multiply

90x = $2,160 × 100

x = ($2,160 × 100) ÷ 90

x =$2,400

Therefore, the amount Ken has to earn to have the amount needed for school is $2,400

5 0
2 years ago
The area of a square garden is 49 ft^2. How long is each side of the​ garden?
schepotkina [342]

Answer:

7

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
In one city, taxi company A charges $5 plus $0.35/km travelled. Taxi company B charges $3.50 plus $0.50/km.
lions [1.4K]

Answer:

If you are asking for the equations, Company A would be 0.35x + 5 and Company B would be 0.50x + 3.50. :)

Step-by-step explanation:

3 0
2 years ago
Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.
jenyasd209 [6]
The function is f(x)=x^3-11x^2+36x-36.

To find the x-intercepts, we need to factorize the function. A very good idea is to first try the factors of 36:

f(1)=1-11+36-36, not 0

f(2)=8-44+72-36=-36+72-36=0. Here we have our first root (2).

Now we cad divide f(x) by (x-2) which will give us a quadratic expression, which we can factorize easily (if the discriminant is non negative).

We can also try some other factors of 36. Indeed we can check that 

f(3)=27-99+108-36=135-135=0, 
and
f(6)=216-396+216-36=0.

Thus, f(x)=(x-2)(x-3)(x-6). Note that if we expanded the right hand side expression, the constant term would be the product of the constants 2, 3, 6.

This is the reason why in the first place we looked at the factors of 36 for the possible zeros of f(x).


Thus, the x-intercepts are (2, 0), (3, 0), (6, 0), or 2, 3, 6. 

The y-intercept is f(0), which is -36.


Note that f(0)<f(2) because f(0)=-36 and f(2)=0. This means that at the left side, the graph is coming from - infinity. Similarly, 

we can check that f(10)=1000-1100+360-36=224> f(6). That is, to the right of our rightmost root, the graph is getting larger.

Thus, the end behaviors are: the graph goes to + infinity as x goes to + infinity, 

and it goes to minus infinity as x goes to - infinity.
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3 years ago
1651.43 rounded to the nearest hundred
ikadub [295]

Answer:

1600

Step-by-step explanation:

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2 years ago
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