Please help me guys I need ur help
A cube has a surface area of 96 square inches. If 16 cubes are
combined to make a rectangular prism, what is the volume of the
rectangular prism?
Answer:
Step-by-step explanation:
A cube has 6 square faces with equal areas by definition. So a cube with a surface area of 96 units would have the surface area of each side be 96/6 = 16 square units.
Because each face of a cube is a square, it has 4 equal sides. This means that each side of the square is 16/4 = 4 units in length. Since each side of the square face is also an edge of the cube, and the way to calculate the volume of a cube is (length of an edge)^3, this means that the volume of the cube must be 4^3 = 64 cube units.
Volume of Cube = 64 cube units.
The volume of the rectangular prism formed by 16 cubes of each surface area of 96 square inches is 1024 inches³
Volume of a cube
volume of a cube = l³
where
l = side lengthTherefore,
Surface area of a cube = 6l²
Hence,
96 = 6l²
l² = 96 / 6
l = √16
l = 4 inches
Therefore,
volume of each cube = 4³ = 64 inches³
16 cubes forms the rectangular prsim. Therefore,
volume of rectangular prism = 16(64) = 1024 inches³
learn more on volume here: https://brainly.com/question/22992939
Genevieve is 3 years older than twice her brother's age. Genevieve is 21 years old. Write an equation to find her brother's age.
The equation that represents Genevieve's brother is y = 18/2.
What is the equation that represents Genevieve's brother age?The equation that represents Genevieve's age:
21 = 3 + 2Y
Where Y represents Genevieve's brother age
In order to determine the required equation, make y the subject of the formula
21 - 3 = 2y
18 = 2y
y = 18/2
To learn more about linear functions, please check: https://brainly.com/question/26434260
Convert the following to logarithm form. *PLEASE GIVE EXPLANATION*
300% of what number is 75?.
Answer:
25
Step-by-step explanation:
Find the number by dividing 75 by 3, since 75 is the number tripled.
75/3
= 25
So, 300% of 25 is 75.
Answer:
25
Step-by-step explanation:
300% * x = 75
300/100 * x = 75
x = 75 * 100/300
x = 25
Help needed asap will give brainliest
The answer is the atomic mass. Hope this helps!!
Answer:
Neutrons and protons make up the atoms atomic mass.
A number cube has 6 different faces, numbered 1 to 6. All faces have an equal probability of being rolled. What is the probability of rolling a 5?
please no links or weird pictures!
Answer:
its a 1/6 chance
Step-by-step explanation:
each face has a 1/6 chance of being rolled since there are 6 faces
Answer:
Answer:
40.2 % to the nearest tenth.
Step-by-step explanation:
Probability( 6 on one roll = 1/6).
Probability (6 on first roll and NOT 6 on the next 5 rolls) = 1/6 * (5/6)^6
= 3125/46656
= 0.06698
Only 1 six rolled can happen in 6 different ways ( where the 6 is on the second, third roll etc.)
So the required probability is 0.06698 * 6 = 0.40188.
Step-by-step explanation:
Found this
To the nearest hundreth, what is the length of line segment AB?
1.) 2.45
2.) 2.16
3.) 7.75
4.) 8.25
Answer:
option (4)
Step-by-step explanation:
Calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(2, 2) and (x₂, y₂ ) = B(- 6, 4)
AB = [tex]\sqrt{(-6-2)^2+(4-2)^2}[/tex]
= [tex]\sqrt{(-8)^2+2^2}[/tex]
= [tex]\sqrt{64+4}[/tex]
= [tex]\sqrt{68}[/tex]
≈ 8.25 ( to 2 dec. places )
I need help please! DON'T USE LINKS! WILL BE REPORTED
9514 1404 393
Answer:
222 cm²
Step-by-step explanation:
The surface area can be found using the formula ...
A = 2(LW +H(L+W))
To minimize fraction nonsense, we'll let H be the fraction.
A = 2(12·8 +(3/4)(12 +8)) = 2(96 +15) = 222
The surface area of the prism is 222 square centimeters.
Josie is looking at buying a new phone for $800.If she does not want to pay the entire $800 she has the option of buying the phone for a $150 deposit and making 12 monthly payments of $75 each. If Josie chooses the payment plan what will be the percent increase on the original cost of the phone?
Answer:A 131.25%
Step-by-step explanation:
HELP ASAP PLEASE!
Write a rule for the sequence.
4, 8, 16, 32, ...
Start with 4, and multiply by 2 repeatedly.
Start with 4, and add 8 repeatedly.
Start with 4, and add 2 repeatedly.
Start with 2, and multiply by 4 repeatedly.
A company created a census to see the impact of pollution in its state. The company attempted to interview every resident of the state. The people it interviewed are an example of a _____.
A.) survey
B.) population
C.) sample
D.) census
explain how to evaluate simplify and convert to radical form (x^3/8)^3/4
Answer:
[tex](x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}[/tex]
Step-by-step explanation:
Given
[tex](x^\frac{3}{8})^\frac{3}{4}[/tex]
Required
Convert to radical form
[tex](x^\frac{3}{8})^\frac{3}{4}[/tex]
Evaluate the exponents
[tex](x^\frac{3}{8})^\frac{3}{4} = x^\frac{3*3}{8*4}[/tex]
[tex](x^\frac{3}{8})^\frac{3}{4} = x^\frac{9}{32}[/tex]
Split the exponent
[tex](x^\frac{3}{8})^\frac{3}{4} = (x^9)^\frac{1}{32}[/tex]
Apply the following law of indices
[tex](x^a)^\frac{1}{b} = \sqrt[b]{x^a}[/tex]
So, we have:
[tex](x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}[/tex]
15 points need ASAP
Write and solve a proportion to answer the question.
Eric scored 94% on a science test. If the test was out of 50 points, how many points did he earn? Show work.
(Answers just for points will result in a report)
Answer:
What is 94 out of 200 as a percentage?
47
Percentage Calculator: 94 is what percent of 200? = 47.
Step-by-step explanation:
sorry if it is not correct :(
A cylindrical water towers has a diameter of 15 meters and a height of 5 meters. About how many gallons of water can the gallon contain?
Answer:
233445.54 gallons
Step-by-step explanation:
Given data
Diameter= 15m
Radius= 7.5m
Height= 5m
Let us first find the volume
the volume of a cylinder is given as
V= πr^2h
substitute
V= 3.142*7.5^2*5
V= 3.142*56.25*5
V=883.6875 m^3
Hence the volume in gallons is
233445.54 gallons (from conversion tables)
Each side of an equilateral triangle measures 30cm. Find the length of an altitude, a , of the triangle?
Answer:
[tex]X=25.98cm[/tex]
Step-by-step explanation:
From the question we are told that:
Length of each side [tex]l=30cm[/tex]
Let the triangle be divide by two form a right angle triangle with base angles as [tex]90 \textdegree[/tex](angle of perpendicularity) and [tex]60 \textdegree[/tex] (angle on each vertices of an equilateral triangle)
Generally the equation for the Altitude X is mathematically given by
Trigonometric Rule
[tex]X=30sin60[/tex]
[tex]X=15\sqrt{3}[/tex]
[tex]X=25.98cm[/tex]
find the measure of the indicated angle to the nearest degree
B. 47°
hope this helps :)
Answer:
A) 71°
Step-by-step explanation:
indicated angle =
[tex]sin^{-1} \frac{51}{54} = sin^{-1}0.94[/tex]
jane leaves her bicycle at 8:00 AM, traveling at an average speed of 15mph. her brother frank leaves home in his car at 10:30 AM, traveling the same route as Jane at an average speed of 40 mph. at what time will they meet? i will give brainliest
Answer: 11:00
Step-by-step explanation:
Answer: 11:00
Step-by-step explanation:
I need help with both of these if you know any of them them helppp me pls will give 20 points
Answer:
1) B. similar
2) D. (4, 2)
Step-by-step explanation:
1)
When a figure is dilated, the shapes will be similar. Reflected is another transformation so that's wrong. Same size and congruent is wrong since that would have to make the dilated size equal which can't since it's contradicting.
2)
B: (4, -2)
Reflection across the x-axis:
(x, y) → (x, -y)
(4, -2) → (x, -y)
(4, 2)
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEE PLSSSS
Answer:
Ur question? Itz incomplete
If ACFE = APTR, then ZF =
Than Zf will equal prt or irt
solve: 3(p - 1) = 3p + 2
Answer: solve for p or solve for the inequality of p??
Solve 3n – 4= 14
Put the steps in order to solve the equation from first to last.
n = 6
Add 4 to both sides
Divide both sides by 3.
Answer:
n = 6
Step-by-step explanation:
Given
3n - 4 = 14 ( add 4 to both sides )
3n = 18 ( divide both sides by 3 )
n = 6
Find the value or X. Round your answer to the nearest tenth.
Answer:
x = 9.3
Step-by-step explanation:
tan 25° = x/20
0.4663 = x/20
x = 9.3
I need this done thanks!
Step-by-step explanation:
Median= n+1/2 ( if n is even )
So,
10+1/2=11/2=5.5
Therefore,
135 is your second answer
Spread of the data = in the above mentioned picture the wave given to find the spread of the data
Hope it helps
help plss need help with this
9514 1404 393
Answer:
2y
Step-by-step explanation:
Eliminating parentheses, we have ...
30x +30y -30x -28y
Grouping like terms gives ...
(30x -30x) +(30y -28y)
Simplifying leaves ...
0x +2y
2y
98x24(100-2)x24 using the distributive property
Answer:
98 x 24 = 2352
2352 x 2400 = 5,644,800
2352 x (-48) = - 112,896
5,644,800 - 112,896 = 5,531,904
5,531,904 x 24 = 132,765,696
Step-by-step explanation:
15 = 5(x +2 )
x=
ill mark brainliest and 20 points
Answer:
x=1
Step-by-step explanation:
15 = 5(x +2 )
15/5= 3
3-2= 1
x=1
you are starting your own small business in Albuquerque. you borrow $10,000 from the bank at 9% rate for 5 years. find the interest you will pay on this loan.
Answer:
2,455
Step-by-step explanation:
Your monthly payment on a personal loan of $10,000 at a 9% interest rate over a 5-year term would be $208. You would pay $2,455 in total interest over the life of this loan.
Hope this helps! c:
Simplify: 3 + ³√64 I have to put 20 charcters so here
Answer:
If (x+3) ³ = 64,what is the value of x?
(x+3)3=64
⟹(x+3)3=26=(22)3=43
⟹x+3=4
⟹x=1
Step-by-step explanation:
can i have brainliest