When the length of each edge of a cube is increased by 1 cm, the volume is increased by 37 cm3.
What is the length (in centimeters) of each edge of the original cube?
Answers
original length =3cm
Answer:
solution given;
let length be x
its
volume be x ³
we have when length is increased by 1cm volume increased by 37cm³ so
(x+1)³=x³+37cm³
x³+1³+3x²+3x=x³+37
3x²+3x-36=0
3(x²+x-12)=0
x²+4x-3x-12=0
x(x+4)-3(x+4)=0
(x+4)(x-3)=0
either
x=-4 rejected
or
x=3cm
The length (in centimeters) of each edge of the original cube will be 3.
How do you calculate the volume of a cube?Assume the side length of the cube under consideration is L units. The volume of the cube is then equal to L³ cubic units.
We have when length is increased by 1 cm volume increased by 37 cm³, so from the given condition the equation formed as;
(L+1)³=L³+37 cm³
Open the bracket and apply the necessary identities;
L³+1³+3L²+3L=L³+37
3L²+3L-36=0
3(x²+x-12)=0
Applying the factorization method;
L²+4L-3L-12=0
L(L+4)-3(L+4)=0
(L+4)(L-3)=0
L=-4 cm (Negative length is not possible.)
L=3cm
Hence,the length (in centimeters) of each edge of the original cube will be 3.
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Related Questions
I don’t know how to solve the question so can you explain how you did it so I don’t have to come back on this app.
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—Explanation—
•] You can calculate how much you save by simply moving the period in 10.00 percent two spaces to the left, and then multiply the result by $16 as follows: $16 x .10 = $1.60 savings.
•] you get the final price by simply deducting .10 from 1 and multiplying it by $16 as follows: (1 - .10) x $16 = $14.40 final price.
B
Manuel is leaving Boston to go on a hike at Mt.
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Please help worth 10 points
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Answer:
2.5%
Step-by-step explanation:
ahhh has to be 20 characters
I would say 50 percent
In the figure ,PS bisects angle RPT.If PS//QR then prove that:PQ=PR
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please answer asap NO SCAM LINKS.
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How do I solve this ...........................
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Answer:
proportion: 3/2 roses = 38.70, (3/2)/38.70 = 1/x, x = 25.80 dollars I believe
Step-by-step explanation:
Grandma received 0.25 liters of medicine from her doctor. The directions asked her to take one teaspoonful 3 times daily until it is finished. A full teaspoon has a capacity of 4 ml. Grandma started taking her medicine on November 20th. What date should the medicine finish?
Answers
Answer:
Dec 10
Step-by-step explanation:
0.25 liter = 250 ml
4 ml * 3 = 12 ml
250/12 = 20.83 days
Nov 20 - Nov 30: 11 days
Dec 1 - Dec 9: 9 days
On December 9, she can still take her 3 doses.
By December 9, she will have taken 12 ml per day for 20 days for a total of 240 ml. She has 10 ml left for Dec 10th.
On Dec 10, she will take 2 doses of 4 ml and 1 dose of 2 ml, and she will finish the medicine.
Mrs. Miller and 8 of her closest friends are taking a
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Write and solve a multiplication equation to show
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Answers
Answer:
f f f f f ff f f ff f f ff f f f f f f
Step-by-step explanation:
In ADEF, the measure of ZF=90°, the measure of ZD=69°, and FD = 64 feet. Find
the length of DE to the nearest tenth of a foot.
Answers
9514 1404 393
Answer:
178.6 ft
Step-by-step explanation:
The definitions of the trig functions tell you ...
Cos = Adjacent/Hypotenuse
cos(69°) = FD/DE
DE = FD/cos(69°) ≈ (64 ft)/0.3584
DE ≈ 178.6 ft
Hal and Renee play the following game: A bag has 14 tiles in it, , each with a letter from the phrase the probability on it. Hal and Renee take turns drawing a tile, recording the letter, and placing the tile back in the bag. Renee earns a point if she draws a vowel. Hal earns a point if he draws a consonant. They decide that the letter y can be a vowel or a consonant. Which statement best explains whether or not the game is fair?
A) The game is fair because both Hal and Renee will get a point if the letter y is drawn.
B) The game is not fair because the probability of Hal drawing a winning letter is more than the probability of Renee drawing a winning letter.
C) The game is fair because Hal and Renee have the same probability of drawing a winning letter.
D) The game is not fair because the probability of Hal drawing a winning letter is less than the probability of Renee drawing a winning letter.
(SOMEONE PLEASE HELP ME)
Answers
Answer:
B
Step-by-step explanation:
There are more consonants in the phrase than vowels so Hal has a better chance of pulling a winning letter. Also, before any tiles have been drawn, Hal has a 9/14 chance of pulling a winning tile while Renee has a 5/14 chance.
Option B is correct.
As given the bag has 14 tiles, each with a letter from the phrase the probability on it.
What is probability?
Probability is nothing but the ratio of number of favorable outcome and total number of outcomes.
Now,
As we know a phrase always consist of vowels and consonants and the number of consonants is always greater than vowels.
Therefore, Hal has better chance of pulling a willing letter. Also before any tiles have been drawn, so Hal has a 9/14 chance of pulling a winning tile while Renee has a 5/14 chance.
Hence, option B is the correct option.
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Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution. Explain. Show your work. plzzz help me ill give yo a brainlyiest
Answers
Answer:
Solution;
given equation : 3.67 = c - 2.13
On solving equation, we get
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c = 5.8
Hence, Janae solution is incorrect. So I disagree.
Answer: No because the answer is c =5.8 or 5.80
Step-by-step explanation:
Add 2.13 to both sides. 3.67 + 2.13 = 5.80
Find the difference
Answers
Answer:
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Step-by-step explanation:
5x² - 1x² = 4x²
8x - 6x = 2x
2 + 3 = 5
= 4x² - 2x + 5
WILL MAKE BRAINLIEST!!!
write the equation given the slope and y-intercept
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2.) m= 1/4, b=0
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Answers
2) y=1/4x
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V.
Simplify the expression using the distributive property.
14.
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I’m
Answers
Answer: 6x-15
Step-by-step explanation: 3 times 2x equals 6x and 3 times -5 equals 15, which makes 6x-15
Answer:
6x-15
Step-by-step explanation:
Distributive property means that you would be distributing.
So, 3 · 2x = 6x
3 · -5 = -15
You cannot simplify any further, so the final answer is 6x - 15.
Let me know if you need further clarification, and if this helped, feel free to award a Brainliest :P
What are vertical angles? If ZA and ZB are vertical angles, what is true about their
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Answers
Answer:
45 i think
Step-by-step explanation:
[tex]\huge{ \mathbf{ \underline{ Answer }\: \: ✓ }}[/tex]
Vertical Angles are pair of two angles opposite to each other formed by two lines intersecting each other. And they have equal measures.
So, if [tex]\angle A[/tex]\angle B[tex][/tex] are vertical angles then they have equal measures .
[tex] \large\boxed{ \angle A = \angle B}[/tex]
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
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Answers
Answer:
1.83 (the 3 keeps going so I simplified it)
Step-by-step explanation:
11/6 = 1.8333333333 (keeps going...)
:))
Original price New price Calculation Converted to fraction over 100 % change
$20
$16
20 - 16
20
=
4
20
4 20
20 100
$20
$15
Answers
Answer:
1.20%
2.25%
Step-by-step explanation:
in 2.i converted to fraction over 100 and I've changed to percentage.I think that's what you needed hope it helps.
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Answers
Answer:
The population would be 11,656 after 13 years.
Step-by-step explanation:
We can do the equation 7000(1+4/100)^13
Hope it helps :)
Identify the slope in y=-1/3x + 2
Hint: y = mx + b
1. -1/3
2. 2
3. -2/3
4. 1
Answers
Answer:
A) -1/3
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = -1/3x + 2
m = -1/3
There are 13 students in the class if every student in the class recycled one piece of paper each school day for the whole school year how many pieces of paper would get recycled versus go in the trash? (There are 172 school days per school year)
Answers
Answer:
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The area of a triangle is 36 square inches. What is the height of the triangle if the base length is 8 inches? (3 points) a 8 inches b 9 inches c 12 inches d 6 inches
Answers
9514 1404 393
Answer:
b. 9 inches
Step-by-step explanation:
The area of a triangle is given by ...
A = 1/2bh
Solving for h, we get ...
h = 2A/b
h = 2(36 in²)/(8 in) = 72/8 in
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The height of the triangle is 9 inches.
-12 + 45
25 + -77
Theres more in pic
Answers
Answer
|-12|+|45|=|12|+|45|= 12+45=57
Step-by-step explanation:
When you take the absolute value of a negative number it is the same thing as taking as a positive number. The absolute value is just that number. Once you teach the absolute value of each number perform the operation given In the problem.
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Answers
answer = 8+16+12+8+14 = 58
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there is a 6/64 probability of selecting a piece of the 6th flavor
Combining Like Terms:
11z+17-7z-6
Answers
4z+11
Step-by-step explanation:
11z-7z=4z
17-6=11
Answer:
4z+11 final answer
Step-by-step explanation:
11z+17-7z-6 this is the Q
11z-7z+17-6
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Answer and explain deeply thank you so much! I’ll mark brainliest
Answers
Let me know if this doesn’t make sense
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle is 5 cm. Find the area of the quadrilateral
Answers
Answer:
60cm^2
Step-by-step explanation:
We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...
K = sr
where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.
K = (12 cm) (5cm) = 60 cm²
_____
A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.
-x+4=-9 help me please
Answers
Answer:
-13 = x
Step-by-step explanation:
:))
Answer: x = 13
Step-by-step explanation:
First subtract -4 on both sides because your adding by 4
-x + 4 = -9
- 4 -4
The 4 - 4 cancels out
So, -9 - 4 is -13
Then we change the sign because we cannot leave x negative.
-x = -13
x = 13
254,817- 13?,125=118,692
Answers
Answer:
118,692
Step-by-step explanation:
jennifer got a box of chocolates the box is a rectangular prism the measurments are 3in x 4in x 5in what is the surface area of the box of chocolates
Answers
Answer:
90
Step-by-step explanation:
A) 79.2
C) 11.9
B) 8.9
D) 11.6
Answers
Answer:
789
Step-by-step explanation: