Answer:
The dimensions of the original cube are 16 in x 16 in x 16 in
Step-by-step explanation:
Let
x ----> the length side of the original cube
The surface area of the cube is equal to
[tex]SA=6b^2[/tex]
where
b is the length side of the cube
we know that
The dimensions of a cube are reduced by 4 inches on each side and the surface area of the new cube is 864 square inches
so
The length side of the new cube is
[tex]b=(x-4)\ in[/tex]
substitute in the formula of surface area
[tex]SA=6(x-4)^2[/tex]
[tex]SA=864\ in^2[/tex]
so
[tex]6(x-4)^2=864[/tex]
Simplify
[tex](x-4)^2=144[/tex]
take square root both sides
[tex](x-4)=(+/-)12[/tex]
[tex]x=4(+/-)12[/tex]
[tex]x=4(+)12=16\ in[/tex]
[tex]x=4(-)12=-8\ in[/tex] ----> the length side cannot be a negative number
therefore
The dimensions of the original cube are 16 in x 16 in x 16 in
To find the dimensions of the original cube, set up an equation using the surface area of the new cube and solve for the original side length.
Explanation:To find the dimensions of the original cube, we need to work backwards.
First, let's find the surface area of the original cube. If we reduce each side of the cube by 4 inches, the new side length would be 'x-4'. The surface area of the new cube is given as 864 square inches. So we have the equation: (x-4)^2 = 864 Solving this equation, we find that the side length of the original cube is 22 inches.
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I don't get this I need help
What is the y-intercept of the graph that is shown below?
(–2, 0)
(–1, 2)
(0, 4)
(4, 0)
Answer:
The correct answer is C- (0,4)
Step-by-step explanation:
edge 2021
The y-intercept of the given graph is (0,4).
What is y-intercept?The y-intercept is the point where the graph intersects the y-axis.
Given a graph, where a straight line is intersecting x-axis at -2 and y-axis at 4.
So, x-intercept = (-2,0)
y-intercept = (0,4)
Hence, The y-intercept of the given graph is (0,4).
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You are heating liquid in a chemistry lab. Four minutes ago, the temperature of the liquid was -4 degrees Celsius. Since then, it has been going up at a steady rate of 2 degrees per minute.
A. Write an equation that tells you the relationship between temperature and time at any given time. Designate the current time as 0.
B.Use your equation to predict the temperature of the liquid 15 minutes from now.
Four football fans took turns driving the distance from new York to Oklahoma to see a big game
R=5(CA−0.3) solve for c
Final answer:
To solve the equation R=5(CA−0.3) for C, divide both sides by 5, add 0.3 to both sides and then divide by A.
Explanation:
To solve the equation R = 5(CA - 0.3) for C, you would first divide both sides of the equation by 5 to isolate the (CA - 0.3) term on one side:
R / 5 = CA - 0.3
Next, you would add 0.3 to both sides of the equation to get CA by itself:
(R / 5) + 0.3 = CA
Finally, to solve for C, you would divide the entire equation by A, assuming A is not zero:
C = [(R / 5) + 0.3] / A
a cube has a volume of 8 cubic inches what is the length of each edge of the cubes
The length of each edge of the cube is 2 in.
Given:
Volume of cube = [tex]8 in.^{3}[/tex]
*image of a cube is shown in the attachment.
Recall:
Formula for volume of a cube is given as:
[tex]V = a^{3}[/tex]
where,
[tex]a =[/tex] length of each edge of the cube
[tex]V = 8[/tex]
Plug in the value into the formula to find a.
[tex]8 = a^{3}\\\sqrt[3]{8} = \sqrt[3]{a^{3} } \\2 = a\\a = 2[/tex]
Therefore, the length of each edge of the cubes is 2 inches.
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Which letter would it be ??
A game normally cost $53.00, but Isabel used a coupon and got the game for $37.10. The coupon was for what percent off.
what will be the 15th shape in the pattern. .
the expression 6xi³(4xi+5) is equivalent to what?
Sydney has piles of 10 stickers sheets. She has 100 sheets in all. How many piles does she have?
The scale on the map says that 1.5 cm represents 40 miles. On the map the distance between Columbia, SC and Atlanta is 7 cm. Which is the correct proportion to use for finding the real distance between the cities?
A) none of these
B)
1.5
40
=
7
x
C)
1.5
7
=
x
40
D)
40
1.5
=
7
x
Find and compare the unit prices. Which one is the better buy?
3 for $1.00
Or
10 for 3:00
Plz answer both parts ibe been really stuck on this one :)
a carp can travel at a speed of 3 7/10 miles per hour . At this rate , how far can a carp travel in 2 ½ hours?
A number minus 6 equals 12
I need help I don’t get the question
Rewrite as a square or a cube:
3 3/8 =_____
1 11/25=_____
Answer:
3 3/8=1.5^3
1 11/25= 6/5^2
Step-by-step explanation:
i just tried until i got it
i hope this helps
brainliest?
0.3•10^4 is it scientific notation why or why not?
No, this is not scientific notation. Scientific notation has a number multiplied by 10 to the power of something. But, that number has one digit in front of the decimal point. Since, here, there are none, this is not a number in scientific notation.
Jim drove 153 miles in 3 hours. If he can keep the same pace, how long will it take him to drive 1377 miles?
the nth term of a sequence is n+7 . what are the first 3 terms of the sequence
Answer:
First 3 terms of the sequence are:
8,9,10
Step-by-step explanation:
The nth term of a sequence is n+7 .
We have to find the first three terms of the sequence
First term(n=1) = 1+7 =8
Second term(n=2) = 2+7 =9
Third term(n=3) = 3+7 =10
Hence, first 3 terms of the sequence are:
8,9,10
There are 946 milliliters in a quart. There are 2 pints in a quart. How many milliliters are in a pint?
Answer:
Find out the how many milliliters are in a pint .
To prove
As given
There are 946 milliliters in a quart.
There are 2 pints in a quart.
Thus
946 milliliters = 1quart = 2 pint
Than
946 milliliters = 2 pint
[tex]1\ pint = \frac{946}{2}\ millilitre[/tex]
1 pint = 473 millilitre
Therefore 473 milliliters are in a pint .
Answer:
there are 473
Step-by-step explanation:
jane, andre, and marIA pick apples. andre picks three times as many pounds as maria. Jane picks two times as many pounds as andre. the total weight of apples is 840 pounds. how many pounds of apples does andre pick?
Rosaries cat weights 9.8 pounds. Her dog weighs 25.4 pounds. What's the weight of both animals combined.
Farmer bob has a lot of chickens and pigs. If the pigs and chickens had the total of 17 heads and 46 legs, how much of each animal does farmer bob have?
Angle MNO is rotated 90 degrees counterclockwise about the origin to form angle M'N'O'. Which statement shows the measure of angle M'N'O'?
m∠ M'N'O' = 90 degrees
m∠ M'N'O'= 180 degrees
m∠ M'N'O' = 2 ⋅ m∠MNO
m∠ M'N'O' = m∠MNO
Answer:
The answer is m∠ M'N'O' = m∠MNO
Step-by-step explanation:
If the Angle MNO is rotated 90 degrees counterclockwise about the origin. The new angle formed by ' will be the same as the rotation doesn't alter neither the shape or size of the figure. Therefore, we can conclude that MNO and M'N'O' are congruent (Same lenght and angle).
How many 1760 got in 4710
"The correct answer is 2.675.
To find out how many times 1760 is contained within 4710, we simply divide 4710 by 1760:
[tex]\[ \frac{4710}{1760} = 2.675 \][/tex]
This means that 1760 is contained exactly 2 times in 4710 with a remainder.
The decimal part (0.675) represents the fraction of the third 1760 that is not complete.
To express this as a fraction, we can write 0.675 as [tex]\(\frac{675}{1000}\),[/tex] which can be simplified by dividing both the numerator and the denominator by 125, giving us [tex]\(\frac{5.4}{8}\) or \(\frac{27}{40}\)[/tex] when expressed in lowest terms. Therefore, 4710 contains 2 complete sets of 1760 and a partial set equivalent to [tex]\(\frac{27}{40}\)[/tex] of 1760."
0.009 is 1/10 of which decimal
Hank estimated the width of the door to his classroom in feet. What is a reasonable estimate?
given a right cone with radius r and slant height s, what does the formula pi rs represent
The formula πrs represent the lateral surface area of the cone.
Step-by-step explanation:Lateral surface area--
The lateral surface area of a solid ( i.e. a three dimensional object) is the area of all the sides of the solid excluding the area of the base as well as top of the solid.
If r is the radius of the cone and s is the slant height of the cone then the lateral surface area of the cone is given by the formula:
[tex]Lateral\ surface\ area=\pi rs[/tex]
We want to partition 100 mL into 10 equal parts. How many milliliters should we pour in each cup?