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
Choose the correct simplification of the expression (a^2 multiplied by b^5)^3
A^6/b^15
A^5/b^8
A/b^15
A^6/b^11
Answer:
1
Step-by-step explanation:
the first one because if you take the expression that you want, and expanding it out, you will get the first one.
Answer:
A
Step-by-step explanation:
(a^2)^3 (b^5)^3
The powers multiply when written like this. They don't add.
a^6 b^15
A
is x²-x divisible by 2?
Answer:
Yes
Step-by-step explanation:
There are two cases: Case 1: x is even, so x can be modelled as a generic number 2n, where n is a positive integer. Clearly this product is divisible by two. ... Hence, it is safe to generalise that the term x²-x is divisible by 2 for any positive integer x.
Answer:
Step-by-step explanation:
No, because [tex](x^2-x)/2[/tex] does equal [tex]x^2/2-x/2[/tex]. Honestly, it really depends on the value of x, as it provide whether or not the expression is divisible by 2.
PLEASE HELP ME WITH THIS I NEED IT DONE I'LL GIVE BRAINLIEST!!!!!!
PLEASE DONT SEND ME FILES OR LINKS. NO INCORRECT ANSWERS!!
Answer:
Correct answer A
Step-by-step explanation:
40% model cars of 45 models is 18 model cars (the rest is model airplanes)
45-18 =27
27 model airplanes
The base of a ladder is 10 feet from the side of a building. The top of the ladder reaches a window that is 24 feet above the ground, What is the length of the ladder? A. 14 ft B. 22 ft C. 26 ft D. 34 ft
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Pythagorus theorem,
here, the perpendicular height = 24 ft and the base = 10ft ,
hence then length of the ladder is the Hypotenuse.
so we get as,
[tex]l \: = \sqrt{ {24}^{2} + {10}^{2} } [/tex]
[tex]l \: = \sqrt{576 + 100} [/tex]
[tex]l \: = \sqrt{676} [/tex]
hence, l = 26 ft
so the length of the ladder is 26 feets.
Answer: 26
Step-by-step explanation:
Please please help me I will give brainileist
Answer:
26
Step-by-step explanation:
Average = all the numbers added together then divided by the amount of numbers in the equation
21+24+25+25+26+26+26+26+27+29= 255
Since there are ten numbers in this equation, divide the sum by 10
25.5
round up
26
the diagram shows a track composed of a rectangle with a semicircle on each end. the area of the rectangle is 4,000 square meters. what is the perimeter of the track?
Answer:14400
160
=
90
Step-by-step explanation: 90
⋅
π
=
90
π
→
If you are using an approximation such as 3.14 for
π
, multiply that by 90
Add
160
⋅
2
to the circumference since the lengths of the rectangle are also part of the perimeter.
160
⋅
2
=
320
90
π
+
320
Can somebody help me with one of these i literally don’t get it.
Answer:
basically multiply the height and the base (area), using the two numbers shown. Just add for perimeter. Just use a calculator, no one really cares about doing it them selves
Step-by-step explanation:
Answer:
Step-by-step explanation:
What fraction of the large square is the purple square?
Answer: I don't what you are asking it should be in color but if you don't know it is 1/7 of the square
Step-by-step explanation:
Which statement best describes the association between the measures?
Answer:
the answer should be c
Step-by-step explanation:
positive association is just asking whether the line is positive or not. Since it's increasing (going from left to right) it's positive. Outliers refer to the two dots that are reallly far away from the rest.
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Answer:
B
Step-by-step explanation:
i believe it's plot 1 & 2
The triangles in the diagram are similar.
Vad
H
Which proportion is set up correctly?
GH
CA
GO
TA
GH
TC
GO
TA
ОО
AG
OH
CT
GO
TA
Answer:
GH/TC = GO/TA
Step-by-step explanation:
write these numbers in order of size starting with the smallest number. 5 to the power of -1, 0.5, -5, 5 to the power of 0
Answer:
5^-1, 0.5, 5^0
Step-by-step explanation:
Convert all numbers so that they have the same format.
5^-1 = 0.2
5^0 = 1
Compare:
0.2 < 0.5 < 1
This would be the order of size starting with the smallest.
Make sure you use the numbers in the problem and not the ones that were simplified.
If you send ppl links- I hope your phone can only charge at an angle
Anyways my discord is rosexlyn#6833 so add me hœs
Answer:
nah
Step-by-step explanation:
10th grade level LT1
Answer:
36
AE / AD = AB / AC
51 / 51 + 17 = x / x + 12
51 / 68 = x / x + 12
51 ( x + 12) = 68x (After cross multiplication)
51x + 612 = 68x
612 = 68x - 51x
612 = 17x
x = 612/17 = 36
[tex]\mathtt{: )}[/tex]
Use the quadratic formula to find the roots of x 2 + 2x − 7
Answer:
-1+2[tex]\sqrt{2}[/tex], -1-2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
How much would each orange weigh if the total weight of all the oranges were distributed equally?
Answer:
Weight of each orange = Total weight of all the oranges ÷ Number of oranges
Step-by-step explanation:
Given: Total weight of all the oranges were distributed equally
To find: weight of each orange
Solution:
As total weight of all the oranges were distributed equally,
Number of oranges × weight of each orange = Total weight of all the oranges
Therefore,
Weight of each orange = Total weight of all the oranges ÷ Number of oranges
can anyone help with this question
Answer:
162, sorry if this is wrong
Step-by-step explanation:
I’m having trouble understanding this, if anyone could help me understand it I’d greatly appreciate it.
Answer:
x = angle left of (4x+5) [ᴄᴏʀʀᴇsᴘᴏɴᴅɪɴɢ ᴀɴɢʟᴇs]
So, x + (4x+5) =180° [sᴜᴘᴘʟᴇᴍᴇɴᴛᴀʀʏ ᴀɴɢʟᴇs]
[tex](4x + 5 )+ x = 180 \\ 4x + 5 + x = 180 \\ 5x + 5 = 180 \\ 5x = 180 - 5 \\ 5x = 175 \\ x = \frac{175}{5} \\ x = 35[/tex]
=> ˢᵒ ᵗʰᵉ ᵛᵃˡᵘᵉ ᵒᶠ ˣ ⁱˢ ᵉᵠᵘᵃˡ ᵗᵒ 35
Find the length of x.
Evaluate: |9 - 3k| = 3
Answer:
k=2,4
Step-by-step explanation:
The sun causes a flagpole to cast a shadow that measures 85 ft. from the base of the pole. At the same time of the day, a 6.5 ft. tall basketball player casts a shadow that measures 9.75 ft.
The basketball player’s little sister is 3.5 ft. tall. At the same time of the day, determine her shadow’s length to the nearest tenth of a foot.
Answer:
Length of the shadow of player's sister is 5.25 feet.
Step-by-step explanation:
From the figure attached,
AB represents the basketball player and DE is his little sister.
Height of basketball player = 6.5 ft
Length of shadow of the player = 9.75 ft
Height of player's sister = 3.5 ft
Since, ΔABC and ΔEDC are the similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{ED}{DC}[/tex]
[tex]\frac{6.5}{3.5}= \frac{9.75}{x}[/tex]
x = [tex]\frac{9.75\times 3.5}{6.5}[/tex]
x = 5.25 ft
Therefore, length of the shadow of player's sister is 5.25 feet.
Find the area I will mark the BRAINEST
Answer:
84 or 90 i say 90
Step-by-step explanation:
thses are the closest ones
Are the pink arcs congruent?
Answer:
Yes, they are congruent.
Step-by-step explanation:
Supplementary angles equal up to 180°.
70+40 = 110
180 - 110 = 70.
Angle BAE is 70°.
And, angle ADC is 70° as well.
Therefore, the pink arcs are congruent.
Find g(x), where g(x) is the translation 4 units down of f(x)=x2. Write your answer in the form a(x–h)2+k, where a, h, and k are integers. g(x)=
Answer: g(x) = (x+3)^2
The answer should be in the form of a(x-h)2 + k.
Since we are not translating up or down, the k value is 0. We will not be adding any values to the outputs of the original equation here. a will equal 1 since no stretches are occurring. So we are left with the h value.
f(x) = x2 is given.
g(x) = a horizontal translation of 3 units left. This means that the h value is -3, because in order to move left, you need to take 3 away from all x values (inputs). So the point (2,4) on f(x) would become (-1,4) on g(x).
How do we write this?
g(x) = f(x-h) where h = -3.
So this is g(x) = f(x - (-3)) = f(x+3)
g(x) = (x+3)^2
Each event uses a standard deck of playing cards. The cards are chosen at random and put back after each draw.
Match each event with its theoretical probability.
You choose a red card.
You choose the queen of hearts.
You choose a club.
You choose a 5, 6, or 7. 11 :: 3 13 52
PUT THEM IN ORDER! AND I'LL GIVE YOU "⭐"
Answer:
See below
Step-by-step explanation:
The probability of choosing a red card is 1/2. Half of the cards are hearts/diamonds and half of the cards are clubs/spades.
The probability of choosing the queen of hearts is 1/52. There is one queen of hearts in a 52 card deck.
The probability of choosing a club is 1/4. 1/4 of the cards are clubs, 1/4 are spades, 1/4 are diamonds, 1/4 are hearts.
The probability of choosing a 5, 6, or 7 is 3/13. There is a 5, 6, 7 in all 4 sets, clubs, spades, hearts, and diamonds. So there are 12 total cards that either read 5, 6, or 7 out of the 52 total cards. 12/52 simplifies to 3/13.
Jayda is buying notebooks for school the cost of each notebook is $1.75 write an equation that shows the cost of Jada's notebook C in terms of the other notebooks N that she buys
Answer:
1.75*C=N
Step-by-step explanation:
N=Notebooks
C=Cost
N= 4
Another volume question and dw it’s not a test its just a assignment that just stress me out
Answer:
volume = 337.2 ft³
Step-by-step explanation:
volume = base x height = 84.3 x 4 = 337.2 ft³
Please help ASAP thanks:)!!!!!
Answer:
I think its
Step-by-step explanation:
left second one
It's for my sister she wants me to do it HELP HER
Answer:
I think its the second one
Step-by-step explanation:
Sorry if im wrong
PLEASE HELP FAST! problem is attached as a picture!
Answer: (4 , 5.5)
Step-by-step explanation: it is 1:3 on the line AB