Keshawn's bank account had a balance of $40.51 last month. This month he won a cash prize of $73.95 for winning a competition. How much money does Keshawn have at the end of the month if there are no other transactions?

The given question can be solved by applying the cosine rule. Therefore, Sailboat A is 12.61 miles away from the starting point. Thus it is the farthest from the starting point.

a. To determine the distance of sailboat A from the stating point.

Applying the cosine rule to the path traveled by sailboat A, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ

   = [tex]5^{2}[/tex] + [tex]8^{2}[/tex] - 2(5*8) Cos (180 - 29)

   = 25 + 64 -80 * -0.8746

[tex]c^{2}[/tex] = 89 + 70

[tex]c^{2}[/tex] = 159

c = [tex]\sqrt{159}[/tex]

  = 12.6095

Thus, the distance of sailboat A from starting point is 12.61 miles.

b. To determine the distance of sailboat B from the stating point.

Applying the cosine rule to the path traveled by sailboat B, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ

   = [tex]8^{2}[/tex] + [tex]5^{2}[/tex] - 2(5*8) Cos (180 - 51)

   = 64 + 25 -80 * -0.6293

[tex]c^{2}[/tex] = 89 + 50.344

   = 139.344

c = [tex]\sqrt{139.344}[/tex]

  = 11.8044

c = 11.80 miles

Thus, the distance of sailboat B from starting point is 11.80 miles.

Comparing the distances of the sailboats from the starting point, sailboat A is farther from the starting point.

A sketch is attached to this answer for better reasoning.

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Answer:

she will have 3/4 cups left over

Step-by-step explanation:

1 1/2 times 12 is 18

Answer:

7 and 1 / 2

Step-by-step explanation:

xy = 9

( 1 / x ) = 4 ( 1 / y )

y = 4x

x ( 4x ) = 9

4x^2 = 9

x = 3 / 2

( 3 / 2 ) y = 9

y = 6

6 + ( 3 / 2 ) = 7 and 1 / 2

The two numbers are 3/2 and 6.

The reciprocal of a number is this fraction flipped upside down.

Given that, The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number.

Let the numbers be a and b.

ab = 9.......(i)

1/a = 4/b

a = 4b..........(ii)

Using (i) in (ii)

4b×b = 9

b² = 9/4

b = 3/2

a×3/2 = 9

a = 6

Hence, The two numbers are 3/2 and 6.

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Answer:B

Step-by-step explanation:

[33] x = 140° & y = 118°

    The lines are parallel, sso we can tell that y will equal 118° degrees because of corresponding angles. Then for x, we can add the non-adjacent angles together, 118° + 22° = 140°

[35] x = 26° & y = 64°

    x will be 180° - 90° - 64° = 26° because a triangle's angles are equal to 180° and the box represents a 90° angle. y is equal to 64° because the lines are parallel, and if we "flip" one of the triangles around we can see that y and 64° are corresponding angles. (to check, we add 26° + 64° + 90°, and it does equal 180°!)

[37] Unfortunately, in this photo I cannot see the problem.

Have a nice day! - I saw you asking for help on this, I'm sorry, I was asleep ;-;

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:y = 4x - 5

Step-by-step explanation:

point slope form is in the form of y = mx + b. m is the slope so we plug thatin and have the equation y = 4x + b. since we also have a point on the line we can plug those into the equation too. -1 = 4 * 1 + b.

now we simplify that through algebra.

-1 = 4 + b

b= -5

sp we get b and we can say the equation is y = 4x -5

Answer:

(7, 4)

Step-by-step explanation:

In this case, where we reflect W(7, -4) over the x-axis, the x-coordinate of the reflection is the same:  7.  But the -4 becomes +4 through this reflection.

Reflected point is (7, 4)

Answer:

n

Step-by-step explanation:

2n - n ← factor out n from each term

= n(2 - 1)

= n × 1

= n

Answer: 3z+6

Step-by-step explanation:

(3) (z+2)

(3) (z)+(3) (2)

3z+6

Answer:

  a) b^3

  b) x^3

Step-by-step explanation:

It can be helpful to think of the exponent as specifying the number of times the base is a factor in the product. Of course, common factors in the numerator and denominator cancel.

  [tex]\dfrac{b^7}{b^4}=\dfrac{b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b}{b\cdot b\cdot b\cdot b}=b\cdot b\cdot b=b^{7-4}=\boxed{b^3}[/tex]

__

  [tex]\dfrac{x\cdot x^5}{x^2\cdot x}=\dfrac{x\cdot x\cdot x\cdot x\cdot x\cdot x}{x\cdot x\cdot x}=x\cdot x\cdot x=x^{6-3}=\boxed{x^3}[/tex]

Answer:

ANSWER MEEEEE

Step-by-step explanation:

What am I supposed to help with. You didn't put anything.

Answer:

Step-by-step explanation:

6

Answer:

free energy, in thermodynamics, energy-like property or state function of a system in thermodynamic equilibrium. Free energy has the dimensions of energy, and its value is determined by the state of the system and not by its history.

Answer:

24c-14

Step-by-step explanation:

to find the perimeter, simply add up the values of the three sides:

(7c-5) + (7c-5) + (10c-4) = 7c-5+7c-5+10c-4 = (7c + 7c + 10c) + (-5 -5 -4) = 24c -14

Answer:

Step-by-step explanation:

A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?

----

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

We use the inverse formula

base = 2A : height

2 * 27 : 6 = 9

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

check

6 * 9 : 2 = 27

the answer is good

Answer:

They are both the same line

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

w+13-[tex]\frac{2w}{3}[/tex]=16

w · [tex]\frac{3}{3}[/tex] -[tex]\frac{2w}{3}[/tex]+13=16

[tex]\frac{w}{3}[/tex]+13=16

[tex]\frac{w}{3}[/tex]=3

w=9

Step-by-step explanation:

the way I understand the description :

C is below B. they are on a kind of straight hill, and there is a straight "road" going up from C to B.

then, at B there is an antenna or other firm of mast going straight up.

therefore, this is not a right-angled triangle with 90 degrees at B (as it would be, if this would be in a flat plane).

but because it goes downhill from B to C the angle is 105 degree.

(a)(i)

now, imagine, there would be a horizontal plane either at B or at C. AB would have a true 90 degree angle with this plane. so, what is the angle of CB with this plane ?

this angle is the "excess" of the 90 degrees, as CB angles down from the horizontal plane at B, or angles up with the same angle from the horizontal plane at C.

what is the "excess" of 105 degrees vs. the standard 90 degrees ? 105 - 90 = 15 degrees.

(a)(ii)

the extended Pythagoras for not right-angled triangles :

c² = a² + b² - 2ab×cos(B)

B being the angle opposite of the Hypotenuse c.

so, we have

c² = 15² + 10² -2×15×10×cos(105) = 225 + 100 - 300×cos(105) =

= 325 - 300×cos(105) = 402.6457135...

c = 20.06603383... ≈ 20 m

Answer:

6 feet and 8 inches

Step-by-step explanation:

1 foot = 12 inches

Answer: 6ft & 8 inches

Step-by-step explanation: 12 inches = 1 feet

2 feet = 24

3 feet = 36

4 feet = 36

5 feet = 60

6 feet = 72

80 - 72 = 8

6ft & 8 inches

Answer:

9

Step-by-step explanation:

Answer:

5 pounds

Step-by-step explanation:

54.89 - 49.75 = 5.14

Then once that was rounded is turned to 5 pounds

Answer:  5.14 pounds, A

Step-by-step explanation:

54.89 - 49.75 = 5.14 pounds

Answer:

Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.

Hope this helps :)

Answer:

Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.

Step-by-step explanation:

Yw

Answer:

Area: 9 in.²

Step-by-step explanation:

Area of square: side²

=> Area of Square tile: 3²

=> 9 in.²

Hoped this helped.

Answer:

9

Step-by-step explanation:

To find the area of a square, multiply both sides.

3*3=9

Answer: 1/2

Step-by-step explanation:

No matter which midsegment you created, it will be one-half the length of the triangle's base (the side you did not use), and the midsegment and base will be parallel lines!

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The slope of the given line is its constant of proportionality ~

so, let's find the slope ~

The required value is ~ 4

Answer: (3x+1) (2x-5)

Answer:

7.5 g salt

10g yeast

50 ML oil

450 ML water

Step-by-step explanation:

You would do 1/4 of the amount of (insert ingredient amout) added to the total (insert ingredient amount)