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?
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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Find l.
10 in.
l
l = [?] ir
1
1
6 in.
Answer:
[tex]l=\sqrt{109}[/tex] in
Step-by-step explanation:
[tex]l^{2} =r^{2} +h^{2} \\\\l^{2} =3^{2} +10^{2} \\\\=90+100\\\\l^{2} =109\\\\l=\sqrt{109}[/tex]
hope it helps....
A toy car is dropped n a graduated cylinder with 15 mL of water. You look at the level after the car is in the cylinder and see that it is now 32mL The car weighs 279 What is its density
Answer:
The Answer is D= 7.47gLmL
Step-by-step explanation:
My work is in the screenshot below
if i have 2 pans of brownies and i give away 1 5/6. How many browniea do i have left? in a fraction?
Answer: Multiply
2 * 1 5/6
Convert 1 5/6 into an improper fraction:
2 * 11/5
Multiply:
22/5
Convert to mixed number:
4 2/5
So 22/5 or 4 2/5 of a pan of brownies was left.
Answer:
1/5
Step-by-step explanation:
Use the diagram to complete the statements.
The measure of minor arc EF i
The measure of angle DAB is
35.5
.5
71
109
Answer:
EF is 109
DAB is 54.5
Step-by-step explanation:
Applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°What is the Central Angle Theorems?The central angle theorem states that:
Measure of intercepted arc = 1/2(measure of inscribed angle)Measure of central angle = measure of intercepted arcThus:
Measure of minor arc EF = m∠ECF = 109°
m∠DAB = 1/2(109°) [m∠ECF = m∠BAD = 109°]
m∠DAB = 54.5°
Therefore, applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°Learn more about central angle theorem on:
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5th grade math. correct answer will be marked brainliest
Answer: C and for the bottom is 3*3/8=9/8=1 1/8
Step-by-step explanation: hoped this helped :)
11 divided by 6 please help
Answer:
1.83 (the 3 keeps going so I simplified it)
Step-by-step explanation:
11/6 = 1.8333333333 (keeps going...)
:))
Vx
Which two figures have the same number of lateral faces?
O sphere and cylinder
O triangular prism and rectangular prism
O rectangular prism and cube
O triangular prism and cylinder
What is the solution to this equation?
8x - 5(x - 3) = 18
A. x = 7
B. x = 5
C. x = 11
D. x = 1
SUBMIT
Answer:
D
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
Answer:
90
Step-by-step explanation:
Please help worth 10 points
Answer:
2.5%
Step-by-step explanation:
ahhh has to be 20 characters
I would say 50 percent
What are vertical angles? If ZA and ZB are vertical angles, what is true about their
measures?
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]
-x+4=-9 help me please
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
Select two days on which mike ran a total of 6 5/6 miles.
Saturday and sunday.............
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
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.
Find the percent of change from 32 feet to 79 feet. Round to the nearest tenth, if necessary. Then state whether the percent of change is percent of increase or percent of decrease.
Answer:
71 1/4%
Step-by-step explanation:
I think the change is percentage increase. the method of finding percentage iincrease is increase over percentage increase x 100%
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.
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.
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
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)
Answer:
dont know the answer but as i see, 13 student in class and each have 1 peice so 13 per day. you said 172 days so, 172 multiply 13 is 2236. its your answer
jasonran 4 miles in 30 minutes which of the following is an equivalent rate of running
Answer:
10 miles in 75 minutes
Step-by-step explanation:
URGENT HELP Graph f(x) = 3|x - 5| + 1 (please put picture of the answer graphed)
Answer:
Step-by-step explanation:
I uploaded a picture of the graph, but you can go to the site, Desmos. Just plug in your equation, and you will get the equation graphed.
Plz, help. In the picture below.
Answer:
I don't know sorry
Step-by-step explanation:
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)
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
Answer:
Solution;
given equation : 3.67 = c - 2.13
On solving equation, we get
c = 3.67 +2.13
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
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
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
h = 9 in
The height of the triangle is 9 inches.
A town has a population of 7000 and grows at 4% every year. What will be the population after 13 years, to the nearest whole number?
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 :)
53 POINTS!!!!!!!!!!!!!
Does anyone know what the answer?
Answer:
x = 7
Step-by-step explanation:
Hi,
7x - 7 = 4x + 14
3x - 7 = 14
3x = 21
x = 7
I hope this helps :)
Identify the slope in y=-1/3x + 2
Hint: y = mx + b
1. -1/3
2. 2
3. -2/3
4. 1
Answer:
A) -1/3
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = -1/3x + 2
m = -1/3
Use the factor tree to find the prime factorization of 100.
What is the prime factorization of 100?
2 x 5
2 x 2 x 5 x 5
2 x 5 x 10
10 x 10
Answer:
2 * 2 * 5 * 5
Step-by-step explanation:
100 = 2 * 50
= 2 * 2 * 25
= 2 * 2 * 5 * 5