The volume of the rectangular prism is ___ cubic units.

Answer:

6.51 cm

Step-by-step explanation:

Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus    V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.

Since V = V',

4πr³/3 = πR²h

dividing through by π, we have

4r³/3 = R²h

multiplying both sides by 3/4, we have

r³ = 3R²h/4

taking cube-root of both sides, we have

r = ∛(3R²h/4)

Substituting the values of the variables into the equation, we have

r = ∛(3(7 cm)² × 7.5 cm/4)

r = ∛(3 × 49 cm² × 7.5 cm/4)

r = ∛(1102.5cm³/4)

r = ∛(275.625 cm³)

r = 6.508 cm

r ≅ 6.51 cm to 2 decimal places

Answer:

3

Step-by-step explanation:

12÷4=3, so they are 3 inches apart

Answer:

The complete sentence is:

Walnuts stay fresh longer in the refrigerator or freezer.

Step-by-step explanation:

A complete sentence is a sentence that displays a complete idea. It comprises of a subject and a predicate that includes verb too.  

From the given two sentences, the complete sentence is the second sentence. 'Walnuts' is the subject and 'stay fresh longer in the refrigerator or freezer' is the predicate. A complete idea about the freshness of the walnuts have been stated in the sentence. On the other hand, the first sentence is a run-on sentence. In such a sentence, two sentences are merged together. This is done by adding the punctuation mark or coordinating conjunction to merge the sentences.

Answer:

Run-on sentence

Step-by-step explanation:

Answer: 10 x -9 10 + -9

Step-by-step explanation:

Answer:

the answers are 13, ab/2, 20 and 15x²/2

Answer:

1/2 a^2, 1/2 b*a , 20, 7.5x^2

Step-by-step explanation:

Area of right angle triangle = 1/2 height * base so

Area of MSP = 1/2 a^2 , Area of BUC =1/2 a*b

Area of BAC =1/2 8*5 , Area of DRK =1/2 3x*5x =1/2 *15x =7.5x^2

Answer: 24 years old

Answer: C, Both equations have the same potential solutions, but equation A might have extraneous solutions.

Step-by-step explanation:

Answer:

Both equations have the same potential solutions, but equation A might have extraneous solutions.

Step-by-step explanation:

EDGE

Answer:

The answer is -23

Step

Answer:

46.28

Step-by-step explanation:

did the test

Answer:

Area = 970 ft²

Step-by-step explanation:

The shape is composed of a square and a triangle.

Therefore:

Area of the shape = area of square + area of triangle

✔️Area of square = s²

s = 20 ft

Area = 20²

Area of square = 400 ft²

✔️Area of triangle = ½*b*h

b = 20 + 9 + 9 = 38 ft

h = 30 ft

Area of triangle = ½*38*30 = 570 ft²

✅Area of the shape = 400 + 570 = 970 ft²

Answer:

solve for x and that should help match the equation to the correct grapgh, hope this help!

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

hjjh[tex]\leq[/tex]

Answer:

.4

Step-by-step explanation:  

2.7

x

​  

9=  

2.7

x

​  

2.7 9=x  

Cross multiply.

x=0.4276

x=0.4276≈0.4 feet

Answer:

7x^3-7x^2+14x

Step-by-step explanation: hope I helped

Answer:

1k

Step-by-step explanation:

Answer:

Volume= Length × Width × Height

Answer:

C D

Step-by-step explanation:

K/2 simply means k divided by 2. 1/2K also means divided by 2

Answer:

The set of natural numbers is the set of all positive integers, then this set is:

{1, 2, 3, ...}

and the 24th letter of the alphabet is x

Now we want to write the expression given in the sentence "It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"

We can "break" this in parts, so it is easier to understand.

Then:

"...the sum of the first 3 natural numbers..."

is:

1 + 2 + 3

Then:

"...the sum of the first 3 natural numbers, followed by the 24th letter of the alphabet"

This can be written as:

(1 + 2 + 3) + x

Now we can analyze the complete sentence:

"It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"

This is equal to the expression we found above plus one, then we can write this as:

[(1 + 2 + 3) + x] + 1

[6 + x] + 1

6 + x + 1

7 + x

Answer:

24

Step-by-step explanation:

Step-by-step explanation:

yhcugchvhv hyddd wasppp

Answer:

iuytfjgfgjhgyjuhguyhgvgfcfgcjhgvyhjnbm

Step-by-step explanation:

Step- by- step explanation

Answer:

4*3=12

12*4=

3*3=9

9*2=18

18+48=66

Step-by-step explanation:

Answer:

it 12 inches u can thank me later

Answer:

9 inches

Step-by-step explanation:

First we divide 3 by 4, which equals to 0.75. Since 1 foot is equal to 12 inches 0.75x12 is equal to 9.

Answer: D

Step-by-step explanation: Y starts at -4 and ends at 4

Answer:

D

Step-by-step explanation:

math :)

Answer:

60°

Step-by-step explanation:

I think, should be correct all sides = 180

180/3 = 60

Answer:

x = 60

Step-by-step explanation:

This is an equilateral triangle so all angles are 60 degrees

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

24% is the same as 6/25

[tex] \frac{6}{25} \times 40 \\ = \frac{48}{5} = 9.6[/tex]

Answer:

9.6

Step-by-step explanation:

24% of 40 = 0.24 × 40 = 9.6

Answer:

The starting value.

Step-by-step explanation:

In the compound interest equation A(x)= 500(1.07)x, 500 represents the initial balance, or the starting value.