A cube-shaped box has a volume of 1/8 of a cubic meter. What is the perimeter of each of its
faces?
Given:
The volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex] cubic meter.
To find:
The perimeter of each of its faces.
Solution:
Let "a" be the side length of the cube shaped box. Then the volume of the box is:
[tex]V=(side)^3[/tex]
[tex]V=a^3[/tex]
It is given that the volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex] cubic meter.
[tex]a^3=\dfrac{1}{8}[/tex]
Taking cube root on both sides, we get
[tex]a=\dfrac{1}{2}[/tex]
Now, the perimeter of each face of a cube is:
[tex]P=4a[/tex]
Where, a is the side length of the cube.
Putting [tex]a=\dfrac{1}{2}[/tex], we get
[tex]P=4\times \dfrac{1}{2}[/tex]
[tex]P=2[/tex]
Therefore, the perimeter of each face of a cube-shaped box is 2 meters.
Answer: It's 2 meters
Lucy is planting grass in her front yard and backyard. Her front yard is 20 ft. by 35 ft., and her backyard is 13 ft. by 17 ft. What is the total area of the space in which Lucy will plant grass?
who is the first test tube baby of nepal
Can someone please help me on this please I beg you no links I really appreciate it plz
You buy a car for $16,000. It will decrease in value by 10% each year. How much will it be worth after 4 years?
Answer: 9,600
Step-by-step explanation:
I could possibly did wrong but I shall explain this none the less. I first knew that 10% of 16,000 was 1,600. So then I just timed that by four getting 6,400. I then did 16,000-6,400 getting $9,600. Sorry if I’m wrong
Answer:
$9600
Step-by-step explanation:
10% of 16,000 = 1600
1600*4= 6400
16,000-6,400
= 9600
How to write 8^5 x 8^6 as a single power
Step-by-step explanation:
We know that
[tex]\boxed{\sf a^m\times a^n=a^m+n}[/tex]
[tex] \sf \: {8}^{5} \times {8}^{6} \\ \sf \leadsto \: {8}^{5 + 6} \\ \sf \leadsto {8}^{11} [/tex]
[tex]\sf More\;to\: know{\begin{cases}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{cases}}[/tex]
im honestly too lazy to even attempt to do math anymore. can anyone help me with this question?
Answer:
10÷20= 0.5
10×20=200
10+20=30
Can you conclude from the figure that ABC is similar to DEF? Explain.
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
Two partners starting a new restaurant and the total investment is $67,000. Their investments are in the Ratio 3:4. How much does each investor contribute?
Answer:
One investor should make ABOUT $28714.29 while the other will make about $38285.71
Step-by-step explanation:
67000 x 3/7 =28714.285...
67000 x 4/7 = 38285.714....
Need help on this problem!!
After that incident, the Civil defense team decided to buy new trucks with ladders higher than 100 feet. They found 2 different trucks with the same height of ladders. The first truck costs $145,000 and will cost $0.31 per mile traveled based on the current gas prices. The second truck will cost $160,000 but gets better gas mileage, costing $0.27 per mile. They need to decide which truck is the best deal.
Answer:
the first truck
Step-by-step explanation:
the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000
the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.
so,
I think, this is a very significant number of truck cost compared with gas cost
for the best deal, the first truck is the best choice.
Help me with this please!!!!!!!!
Answer:
I guess it is a rectangle
A fighter jet has traveled 60 miles since take-off. The equation
194. – 60 can be used to determine the total number of miles
the jet has traveled. In the equation, y represents the number of
miles traveled, and I represents the number of minutes traveled.
Which statement best describes the rate of change in the distance
traveled?
A.For every 1 minute, a fighter jet travels 38 miles.
B.For every 1 minute, a fighter jet travels 19 miles.
C. For every 1 second, a fighter jet travels 19 miles.
D.For every 28 minutes, a fighter jet travels 115 miles.
Answer:
C. For every 1 second, a fighter jet travels 19 miles.
Step-by-step explanation:
What is the axis of symmetry of h(x) = –2x2 + 12x – 3?
a. x = –15
b. x = –3
c. x = 3
d. x = 15
We will see that the axis of symmetry is x = 3, so the correct option is c.
How to find the axis of symmetry of a quadratic function?
The axis of symmetry is a line of the form x = a, such that it divides the parabola in two halves.
Particularly, the axis of symmetry passes through the vertex, so the x-value of the vertex is equal to the value of the axis.
Then we only need to find the x-value of the vertex, remember that for a quadratic:
[tex]y = a*x^2 + b*x + c[/tex]
The vertex is at:
[tex]x = -b/2a[/tex]
Then in our case, the vertex is at:
[tex]x = -12/(2*-2) = -12/-4 = 3[/tex]
So the axis of symmetry is x = 3, then the correct option is C.
If you want to learn more about quadratic equations:
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PLEASE HELP ME I REALLY NEED THIS
Tony made 14 decorations for the class party. He made 8 times as many decorations as Jack did, but he lost 2. Which equation could be used to find the number of decorations & Jack
made?
O 8x + 2 = 14
O 8 - 2 = 14
O2 + 8 = 14
O 22-8 = 14
Answer:
It is either a or b. since 8-2 does not equal 14, and 8+2 does not equal 14. I think it is most likely to be a though.
Step-by-step explanation:
how to solve y=-5/2x+4, Y=-1 using substitution
(i need the steps not just the answer)
Answer:
Step-by-step explanation:
- Since y = -1, we will substitute the y variable in the equation for -1.
-1 = -5/2x + 4
- Take away 4 from both sides in order to find out what x equals so we can substitute it.
5 = -5/2x
- turn it into a positive by multiplying each side by -1.
-1(-5 = -5/2x) =
5 = 5/2x
- Divide each side by 5.
1 = 1/2x
- Multiple both sides by 2.
2 = x
- Substitute the variables.
x = 2
y = -1
-1 = -5/2(2) + 4
Dana is planning the school picnic and needs to decide what food vendor to
use. She asks 750 students whether they would rather have a taco truck or a
fruit smoothie cart. The results of the survey are shown in the table.
Taco truck Fruit smoothies Total
120
300
Eighth-graders 180
Ninth-graders 110
90
200
Total
290
210
500
What is the relative frequency of eighth-graders who want fruit smoothies?
26
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Can you please help me solve the question
Answer:
m = 13.86 c = 16
Step-by-step explanation:
Use the 30-60-90 triangle laws.
does anyone know how to solve this problem?
SOMEONE PLEASEEEE HELPPPP?!?!?!?!!?
Answer:
Step-by-step explanation:
Top/Bottom = 12
Sides = 15
Front/Back = 20
20 + 15 + 12 = 47
47 / 1/2 = 23.5
Consider the following set of equations:
Equation M: y = x + 8
Equation P: y = 3x + 6
Which of the following is a step that can be used to find the solution to the set of equations? (4 points)
a
x = 3x + 6
b
x + 8 = 3x + 6
c
x + 6 = 3x + 8
d
x = 3x
Answer:
B. X+8=3x+6
Step-by-step explanation:
You substitute the y value of one equation with the y value of the 2nd equation.
The perimeter of the triangular park shown on the right is 12x - 1. What is the missing length?
Answer:
6x-4
Step-by-step explanation:
c-the missing length
(2x+5)+(4x-2)+c = 12x-1
2x+5+4x-2+c=12x-1
6x+3+c=12x-1
6x+4+c=12x =>4+c=12x-6x =>4+c=6x => c=6x-4
What is the missing length? 6x-4
PLS HELP ASAP
Function g is shown on the graph
Which function represents g
Answer:
Step-by-step explanation:
HELP !!!!!!!!!!!!!!!!
PLEASE I NEED HELP ASAP!!
Answer:
8√2
Step-by-step explanation:
please, help me with this fast!! I'm giving points!!!!
Answer:
Step-by-step explanation:
c circle
for brainiest:):):):):):):)
Answer:
I'm pretty sure 1 is verticle and 2 is complimentary
Step-by-step explanation:
Which step would be used in the proof of the Pythagorean Theorem illustrated below?
a
a
b
o division of areas
o addition of areas
o squaring of areas
multiplication of areas
Answer:
addition of areas
Step-by-step explanation:
The dimensions of a room are 25 ft by 20 ft, respectively. Find the length across the diagonal of the room to the nearest whole number.
A. 20ft
B.25 ft
C.32 ft
D.46 ft
Please help!
pls help!!
1. 5n + 10 = 20 n = ?
2. 36 = 12m m = ?
3. 4a - 12 = 28 a = ?
4. q/5 = 10 q = ?
Answer:
here you go! :))
n= 2
m=3
a= 10
q= 50