A metallic sphere is immersed in water in a cylindrical container causing a rise in the level of water by 7.5cm if the cylinder has a base radius of 7cm find the radius of the sphere to 2 decimal places
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
in rst, the measure of t=90°, the measure of r=9°, and tr=2.7 feet. find the length of st to the nearest tenth of a foot.
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
find the volume of the solid figure
Answer:
Volume= Length × Width × Height
Mr. Enloe uses a 3-foot-long piece of wood to build a square frame. Mr. Enloe cuts the wood in 4
pieces of equal length. What is the length, in inches, of each piece of wood?
12 inches
9 inches
36 inches
13.5 inches
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.
Multiply
7x(x^2-x+2)
Answer:
7x^3-7x^2+14x
Step-by-step explanation: hope I helped
which graph represents the function f(x) = 3x-2/x-2?
Answer:
solve for x and that should help match the equation to the correct grapgh, hope this help!
Step-by-step explanation:
2. A coin purse contains d dimes and q quarters. There are 20 coins in the purse, and the total value of the coins is $4.25. Which system of equations represents this situation?
A {d + q = 4.25
{0.1d + 0.25q = 20
B {d + q = 20
{0.1d + 0.25q = 4.25
C {d + q = 20
{d + q = 4.25
a quantity of y varies partly as x and partly as the square of x. when x=2 ,y=14 and when x=5, y=65. Find y when x=-2
Which comparison of the two equations is accurate?
Equation A: Sqrt x^2 + 3x-6 - Sqrt X+2
Equation B: Sqrt x^2 + 3x-6 = Sqrt x+2
O Both equations have different solutions because the square root of a number is not the same as the cube root of a
number
O Both equations result in different equations after eliminating the radicals, so they have the different solutions.
O Both equations have the same potential solutions, but equation A might have extraneous solutions.
Both equations have the same potential solutions, but equation B might have extraneous solutions.
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
La suma de las edades de Pedro y su hijo son 84 años. Hace 6 años la edad de Pedro era 3 veces la edad de su hijo.
¿Qué edad tiene el hijo actualmente?
a) 34 años
b) 29 años
c) 24 años
d) 19 años
Es una pregunta de un examen en la que me quede estancado porque me da 32 o otra forma me da 30 pero ninguna es la opcion
Answer: 24 years old
Solve the equation 18+a= -5
Answer:
The answer is -23
Step
A car museum wants to increase its collection by 20%. Currently the museum has 120 cars in its collection. How many cars would the museum need to add over the next year to meet its goal?
Answer:
24
Step-by-step explanation:
Write two numbers that multiply to the value on top and add to the value on the bottom.
Answer: 10 x -9 10 + -9
Step-by-step explanation:
find the value of x. need quickly plz help
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
please help taking a test!!
which describes the function graphed below?
Answer: D
Step-by-step explanation: Y starts at -4 and ends at 4
Answer:
D
Step-by-step explanation:
math :)
A map represents every 4 miles with 1 inch. If a school and a bank are actually 12 miles apart, how far apart are they on the map, in inches?
Answer:
3
Step-by-step explanation:
12÷4=3, so they are 3 inches apart
The diagram shows a cuboid.
8 cm
15 cm
20 cm
What is the volume of the cuboid?
Answer:
mdndmdkdkdkdkd
Step-by-step explanation:
kdkdkdjfjfk
HELPPPPSJSHS
The graph of a quadratic function is shown on the grid below.
Which coordinates best represents the vertex of the graph?
helppp i really need help will give brainliest
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
Can someone help me with Tuesday’s question??
Answer:
B
Step-by-step explanation:
In the compound interest equation, A(x)= 500(1.07)x, what does the 500 represent?
The starting value
the growth factor
the amount in the account after x years
the annual rate of interest
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.
Intrigue and drama are standard features of her writing, her next book should keep readers on edge.
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:
I need help me please and ASAP!!!!!
Answer:
C D
Step-by-step explanation:
K/2 simply means k divided by 2. 1/2K also means divided by 2
24% of 40
I need it worked out pls thank uuu:)
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
CT fffgghjkjhhgggggg
Step-by-step explanation:
yhcugchvhv hyddd wasppp
Answer:
iuytfjgfgjhgyjuhguyhgvgfcfgcjhgvyhjnbm
Step-by-step explanation:
Step- by- step explanation
Find the area in the pic please!!
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
Find the interest on a loan of $5000 for two years at 9%
Answer:
1k
Step-by-step explanation:
It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet. Please help
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
PLEASE HELP (question is in picture)
Answer:
4*3=12
12*4=
3*3=9
9*2=18
18+48=66
Step-by-step explanation:
Complete the pattern: 2×4=8 20×4=80 200×4=800 2000×4=