Ask question

Ask question

All categories

3 years ago

12

A boat leaves a port and heads straight East for 12 miles then turns straight south for another 7 miles then stops. If another b

oat wants to
meet the first boat, how far must it travel from the port and how many degrees south of an easterly heading must it point itself.

1 answer:

dlinn [17]3 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

How do I solve please help me out

adoni [48]

You by combing like terms

8 0

3 years ago

Box A contained 1.67 kg of flour. Box B contained 8600 g of flour. After same amount of

rjkz [21]

Answer:

The amount of flour added to each box was 0.64 kg

Step-by-step explanation:

Let

x ----> the amount of flour added to each box in kg

Remember that

1 kg=1,000 g

8,600 g=8,600/1,000=8.6 kg

we know that

The linear equation that represent this situation is

(8.6+x)=4(1.67+x)

Solve for x

8.6+x=6.68+4x

4x-x=8.6-6.68

3x=1.92

x=0.64 kg

3 0

3 years ago

At a water park, 4 out of 20 tickets sold were child tickets. What percentage of the tickets were child tickets?

jeyben [28]

Answer:

20%

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

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

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

2 years ago

The base of the 37 foot ladder is 9 feet from the wall of a building. will the top of the ladder reach a window ledge 35 feet ab

AnnZ [28]

Answer:

The answer to your question is Yes.

Step-by-step explanation:

The math in this problem is that we need to use the Pythagorean theorem to solve it. Pythagorean theorem is part of trigonometry a branch of Maths.

Data

base = 9 ft

length = 37 ft

height = ?

Pythagorean theorem

c² = a² + b²

length = c

base = a

height = b

37² = 9² + b²

-Solve for b

b² = 37² - 9²

-Simplify

b² = 1369 - 81

b² = 1288

-Result

b = 35.88

-Conclusion

The ladder will reach a height higher than 35 ft.

8 0

3 years ago