Five metal cubes with sides of 5 cm are
melted and casted into
a spherical ball. Find the
volume of the sphere that is formed

Answer: 3z+6

Step-by-step explanation:

(3) (z+2)

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

3z+6

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:

  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]

[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:

im a teacher sorry not giving answer only hint

explanation:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

thank you

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!

Answer:

she will have 3/4 cups left over

Step-by-step explanation:

1 1/2 times 12 is 18

Answer:

n

Step-by-step explanation:

2n - n ← factor out n from each term

= n(2 - 1)

= n × 1

= n

Answer:

The formula is generally represented equationally as ( y - Y1 ) = m( X - X1 ) so now let's substitute the points plotted on the graph.

it is equal to (y - 4) = m(x - 0)

and now we look for the slope

m = y2 - y1/ x2 - x1

which can be directly substituted according to every line connecting each x value to a certain y value.

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: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:

9

Step-by-step explanation:

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:

They are both the same line

Step-by-step explanation:

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:

z = 15

y = 8

x = 7

Step-by-step explanation:

All of the angles added together equal 180.

4z + 4z + 4z = 180

z = 15

3y - 1 = 23 ( all sides equal each other because all angles equal each other )

y = 8

2x + 9 = 23 ( similar to how I found y )

x = 7

I hope this helps!!

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

Answer:

$3,466.12 Hope this helped.

Answer:

6x - 6

Step-by-step explanation:

(2x + 6) + (4x - 12) ← remove parenthesis

= 2x + 6 + 4x - 12 ← collect like terms

= (2x + 4x) + (6 - 12)

= 6x + (- 6)

= 6x - 6

Exactly what was your answer for a

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.

For more references on reciprocal numbers, click;

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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)

Answer:

Range: 6,500

The difference between the largest and the smallest number.

Mode: 12,000

The number that appears most.

Mean: 11,000

Because its the average of all numbers

Median: 9,500

The middle number

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:

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:

Step-by-step explanation:

6

It will take about 1 month or 2 months for the baby to start moving since a pregnancy takes 9 months so the most logical thing is that the baby starts to move between 1 month or 2 months

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