1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vredina [299]
3 years ago
7

A cube shaped terrarium has a volume of 27/64 cubic feet. What is the length of its sides?

Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0
A cube is a 3 dimensional object with 6 square faces. All its sides are the same length, there fore the volume is equal to s^3 where s is the side length.

s^3 =  \frac{27}{64}

To solve for s, take the cube root of both sides.

\sqrt[3]{s^3}= \sqrt[3]{ \frac{27}{64} }

s= \frac{3}{4} feet
You might be interested in
Is an estimate for the percent of a number always,sometimes or never greater than actual percent of the number
posledela
It would be sometimes because it can be 82.2% but if you round it the closest one would be 80% if it was 84.7% its closer to 85 so it would be 85% I hope I helped you out rate the answer if I got it right thanks!
3 0
3 years ago
Given: Triangle ABC : triangle ADB. AB =24, AD =16 <br> Find: AC
RoseWind [281]

Answer:

<h2>AC = 36.01</h2>

Step-by-step explanation:

Given ΔABC and ΔADB, since both triangles are right angled triangles then the following are true.

From ΔADB, AB² = AD²+BD²

Given AB = 24 and AD = 16

BD² = AB² - AD²

BD² = 24²-16²

BD² = 576-256

BD² = 320

BD = \sqrt{320}

BD = 17.9

from ΔABC, AC² = AB²+BC²

SInce AC = AD+DC and BC² = BD² + DC² (from ΔBDC )we will have;

(AD+DC)² = AB²+ (BD² + DC²)

Given AD = 16, AB = 24 and BD = 17.9, on substituting

(16+DC)² = 24²+17.9²+ DC²

256+32DC+DC² =  24²+17.9²+ DC²

256+32DC = 24²+17.9²

32DC = 24²+17.9² - 256

32DC = 640.41

DC = \frac{640.41}{32}

DC = 20.01

Remember that AC = AD+DC

AC = 16+20.01

AC = 36.01

6 0
3 years ago
Rachael has a rope 5 m 32 cm long that she cut into two pieces. One piece is 249 cm long. How many centimeters long is the other
satela [25.4K]

1 m = 100 cm, so 5 m = 500 cm plus the 32 cm, so she has a rope that is 532 cm long.

532 - 249 = 283 cm

So the other piece of rope is 283 cm long.

4 0
3 years ago
Write the missing exponent <br><br> 256 = <br><img src="https://tex.z-dn.net/?f=%20%7B%3F%7D%5E%7B4%7D%20" id="TexFormula1" titl
antiseptic1488 [7]

Answer:

4^4

Step-by-step explanation:

256\div4=64\div4=16\div4=4

4\times4\times4\times4=256

4^4=256

Hope this helps.

3 0
2 years ago
This is URGENT. Please answer this question including every step thanks.
Likurg_2 [28]
(a) x = 4  
First, let's calculate the area of the path as a function of x. You have two paths, one of them is 8 ft long by x ft wide, the other is 16 ft long by x ft wide. Let's express that as an equation to start with. 
A = 8x + 16x
 A = 24x 
 But the two paths overlap, so the actual area covered will smaller. The area of overlap is a square that's x ft by x ft. And the above equation counts that area twice. So let's modify the equation by subtracting x^2. So:
 A = 24x - x^2 
 Now since we want to cover 80 square feet, let's set A to 80. 80 = 24x - x^2 
 Finally, let's make this into a regular quadratic equation and find the roots.
 80 = 24x - x^2
 0 = 24x - x^2 - 80
 -x^2 + 24x - 80 = 0 
 Using the quadratic formula, you can easily determine the roots to be x = 4, or x = 20. 
 Of those two possible solutions, only the x=4 value is reasonable for the desired objective. 
 (b) There were 2 possible roots, being 4 and 20. Both of those values, when substituted into the formula 24x - x^2, return a value of 80. But the idea of a path being 20 feet wide is rather silly given the constraints of the plot of land being only 8 ft by 16 ft. So the width of the path has to be less than 8 ft (the length of the smallest dimension of the plot of land). Therefore the value of 4 is the most appropriate.
5 0
3 years ago
Read 2 more answers
Other questions:
  • What's the answer to question 10 and 11
    15·1 answer
  • Leena knits 10 rows in 12 min. At this pace, how long will it take her to knit the next 25 rows? Enter your answer in the box.
    14·2 answers
  • True of false? A corollary is a statement that can be easily proved using a theorem.
    6·1 answer
  • An exterminator must treat the perimeter of a house for insects. If the house is 90 feet long and 30 feet wide, what is the tota
    11·1 answer
  • Evaluate 4ac for a = 1 and c = 12
    7·2 answers
  • Multiply
    11·1 answer
  • Luis computed his taxable income for last
    8·1 answer
  • What is the surface area of the solid...?​
    11·1 answer
  • can someone help me solve this problem? math problem: stephanie earned $85 in 4 hours of work, she wants to buy a new computer f
    9·1 answer
  • Please help me surface area!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!