devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 30 mm and the height of the pyramid is 18mm. to get the wax for the candle, devin melts blocks of wax that are each 8 mm by 6mm by 5mm. how many of the wax cubes will devin need in order to make the candle? show all formulas and calculations ​

Answer is below. Look at my explanation to understand my answer.

To see if these lengths can make a triangle, we can use the "triangle side theorem."

The formula is:

a + b > c

a + c > b

b + c > a

So, with that being said...

15 → A

36 → B

39 → C

So, we can use the triangle side theorem by adding A & B, A & C, and B & C.

If the side length is greater than C, B, or A, it can make a triangle. But if it isn't greater than C, B, or A, it cannot make a triangle.

So, let's add 15 and 36 to see if it can make a triangle.

15 + 36 = 51

If you read above, C is 39.

So, 51 > 39

15 + 36 > 39 ✓

Let's repeat this process again.

Instead of C, B is what we're now seeing if the sum is greater than it.

15 + 39 = 54

54 is greater than 36...

54 > 36

So it is true.

15 + 39 > 36 ✓

Now, A is what we're seeing if the sum is greater than it.

36 + 39 = 75

75 is greater than 15...

75 > 15

So it is true.

36 + 39 > 15 ✓

So yes, these lengths can make a triangle.

Let me know of any questions or concerns.

Answer:

x ≈ 12.9

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{x}[/tex] ( multiply both sides by x )

x × tan35° = 9 ( divide both sides by tan35° )

x = [tex]\frac{9}{tan35}[/tex] ≈ 12.9 ( to the nearest tenth )

Answer:

In a triangle, sides opposite of congruent angles are congruent.

Answer:

Approximate radius of the given hemisphere is 3 in.

Step-by-step explanation:

Formula to calculate the volume of a hemisphere is given by,

V = [tex]\frac{2}{3}\pi r^{3}[/tex]

Since, volume of the given hemisphere in the picture = 56.52 in²

By substituting the value of V in the formula,

56.52 = [tex]\frac{2}{3}\pi r^{3}[/tex]

Now solve the expression for the value of 'r',

r³ = [tex]\frac{3}{2\pi }(56.52)[/tex]

r³ = 26.99

r = ∛(26.99)

r = 3 in.

Therefore, approximate radius of the given hemisphere is 3 in.

Answer:

The answer is A.

If you look at the x values of the coordinates, you can see that they multiply by 2 when dilated to the next shape.

M (5,0) ---> M' (10,0)   5 to 10 means a scale factor of 2. So A is your answer.

Answer:

76% more

Step-by-step explanation:

If you divide 450/255 then you get 1.76470588 This means that it is 76% more than the old cost. ( The one just means adding money instead if subtracting)

Answer:

8.9cm

Step-by-step explanation:

Volume of a cube = L × L × L = L³

710 = L³

L = ³√710

L= 8.9 cm

The length of each side of Cube is 8.9 cm.

The length is to be multiplied by itself three times to get the volume. The volume is measured in cubic units.

For example, cubic units.

Given:

Volume of a cube is 710 cm.

So, Volume of Cube = l³

710 = l³

l = ∛710

l = ∛ (71 x 10

l = 8.9 cm

Hence, the edge length is 8.9 cm.

Learn more about Volume of Cube here:

https://brainly.com/question/11168779

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Answer:

3/2

Step-by-step explanation:

rate of change (m) can be found in the equation, y= mx+b

So, the rate of change is 3/2

Answer:

95%

Step-by-step explanation:

When a value is multiplied by 0.05 ;

The equivalent percentage decrease on the value is :

(1 - 0.05) * 100%

0.95 * 100%

= 95%

Therefore, Multiplying a value by 0.05 is the same as decreasing by 95%

Here's the solution,

the volume of the given figure is :

=》

[tex]volume \: \: of \: \: (pyramid \: + rectangular \: \: prism)[/tex]

volume of pyramid :

=》

[tex] \dfrac{l \times b \times h}{3} [/tex]

=》

[tex] \dfrac{4 \times 5 \times 6}{3} [/tex]

=》

[tex] \dfrac{120}{3} [/tex]

=》

[tex]40[/tex]

volume of pyramid = 40 cm³

now, volume of rectangular prism :

=》

[tex]l \times b \times h[/tex]

=》

[tex]4 \times 5 \times 2[/tex]

=》

[tex]40[/tex]

volume of rectangular prism = 40 cm³

volume of composite figure = 40 + 40

=》80 cm³

The volume of the composite solid will be 80 cubic cm.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

The volume of the Pyramid will be given as,

V = (1/3) × Base area × height

Then the volume of the geometry will be

V = L x W x H + (1/3) x Base area x height

V = 5 x 4 x 2 + (1/3) x 4 x 5 x 6

V = 40 + 40

V = 80 cubic cm

Thus, the volume of the composite solid will be 80 cubic cm.

More about the geometry link is given below.

https://brainly.com/question/7558603

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50

there are 6 numbers in a dice so the probability of guessing it right is 1/6 and if you roll it 60 times you could expect ten 1's

Answer:

i think its X=108

Step-by-step explanation:

Answer:

x=118°

Step-by-step explanation:

a straight line is 180°

therefore 180-62=x

Answer:

300%

Step-by-step explanation:

21/7=3 This means that 21 is 3 times more than 7.

Answer:

x = 5

Step-by-step explanation:

If you input the y-value into the equation you get x = 5.

-6x-8(-2) = -14

-6x+16 = -14

-6x+16-16 = -14-16

-6x = -30

(-6x)/-6 = (-30)/-6

x = 5

Answer:

70

Step-by-step explanation:

the formula for area of a trapezoid is (a+b)/2*h, where a and b each equal a base and h represents height. the base measurements of this figure are 9 and 11, and the height is 7 inches. in the formula, that is (9+11)/2*7. first, 9+11 is 20, divided by 2 is 10. 10*7=70, so the area is 70 in^2.

Answer:

2

Step-by-step explanation:

you need to see

Answer:

56.7

Step-by-step explanation:

2.7 x 21 = 56.7

Answer:

Answer A.

Step-by-step explanation:

There is a 1/2 chance of getting either heads or tails on a coin since there are only two sides. That means that half of the pairs should contain H and half should contain T.

There is a 1/6 chance of rolling every number on a die. So this needs to be represented with the numbers 1-6 on every pair.

So if we combine both of those, 1-6 being on every pair and H being on half and T being on the other half, we get

1, H

2, H

3, H

4, H

5, H

6, H

1, T

2, T

3, T

4, T

5, T

6, T

Which is answer A.

Answer:

63.554

Step-by-step explanation:

V=pir^2h

r=3.4/2

h=7

V=pi(1.7)^2(7)

=63.554

Answer:

C.

Step-by-step explanation:

Answer:

It will take 1 hour and 25 minutes to pack the 40 hampers

Step-by-step explanation:

Julie can pack 18 hampers in 5 hours

Kyle can pack 14 hampers in 4 hours

Julie and Kyle work together to pack a total of 40 hampers

Work done by Julie in one hour = 18/5

Work done by Kyle = 14/4

Work done all together

14/4 * 4 + 18/5 *5 = 40 * 1/x

14+18/40 = 1/k

K = 40/32 = 1.25 hours

Answer:

29 square feet?

Step-by-step explanation:

yk im like 99.9% sure this is right, but that other 1% is just doubting me. So all I did to solve this was add up teh sides to find the perimeter of the shape, or in this case, the hole in the ground.

my answer is wrong d o. n o t. put my answer down

Answer:

-7,-4,-3,+1,+8

Step-by-step explanation:

The bigger the negative number, the less it's worth

Answer:

-7, -4, -3, +1, +8

Step-by-step explanation:

when it comes to negative numbers the larger number is less than the lower number

Answer:

I believe the answer is -1 (7x-60)(x+4)

Answer:

70 square units

Step-by-step explanation:

this rhombus contains four right triangles with legs of 5 and 7 units

the area of one triangle is:

1/2(7)(5) = 17.5

17.5 x 4 = 70

Answer:

250%

Step-by-step explanation:

177.5 / 71 = 2.5

2.5 x 100 = 250%

Divide the number (177.5) by the number you're trying to find the percent of (71) and multiply by 100 to find the percentage.