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
Murljashka [212]
1 year ago
13

A diagonal of a cube measures StartRoot 294 EndRoot cm. The diagonal of a face measures 14 cm. What is the length of an edge of

the cube? Round to the nearest tenth of a centimeter.
Mathematics
1 answer:
hram777 [196]1 year ago
5 0

The side of the edge of the cube is 9. 9cm

<h3>How to determine the length</h3>

Given that the diagonal of a cube measures the square root of 294cm and the diagonal of a face measures 14cm

To find the edge of the face, we know that the face of the cube is a square

Formula for diagonal of a square = \sqrt{2a}

Where is the side of the square

We then have,

\sqrt{2a}  = 14

Make 'a' the subject

a = \frac{14}{\sqrt{2} }

Simplify the surd

a = \frac{14}{\sqrt{2} } × \frac{14}{\sqrt{2} }

a = \frac{14\sqrt{2} }{2}

a = 7\sqrt{2}

a = 9. 9cm

Therefore, the side of the edge of the cube is 9. 9cm

Learn more about a cube here:

brainly.com/question/1972490

#SPJ1

You might be interested in
Adam is 4 years old his brother is half his age how old will the younger brother be when Adam is 50
Debora [2.8K]
The younger brother will be 48 when Adam is 50
8 0
3 years ago
Read 2 more answers
Find how many years it would take for an investment of $3700 to grow to $6000 at an annual interest rate of 6.2% compounded semi
lorasvet [3.4K]

Answer:

  7 years 11 months

Step-by-step explanation:

The future value formula for the value of a principal P invested at annual rate r compounded n times yearly for t years is ...

  FV = P(1 +r/n)^(nt)

For the given numbers, we want to find t:

  6000 = 3700(1 +.062/2)^(2t)

Dividing by 3700 and taking the logarithm, we get ...

  6000/3700 = 1.031^(2t)

  log(60/37) = 2t·log(1.031)

Dividing by the coefficient of t gives ...

  t = log(60/37)/(2log(1.031)) ≈ 7.92 . . . . . years

It will take about 7 years 11 months for the investment to grow to $6000.

7 0
2 years ago
Maymona book club is ordering new novels, She knows that the total cost of 6 books is $90, and 10 books cost $150. Write an equa
aleksandr82 [10.1K]

Answer:

Y=15x

Step-by-step explanation:

<h2>Okay so let's approach this problem!</h2><h2 />

X is books and Y is total cost

Let's find the slope!

Y2-Y1/ X2-X1

Just replace

\frac{150 - 90}{10 - 6}

\frac{60}{4}  = 15

The slope is 15

y = 15x + b

Now replace x and y with coordinates and solve

150 = 15(10) + b \\ 150 = 150 + b \\  - 150 \\ 0 = b

The final equation:

y = 15x

That's it! If you have any questions please ask! Brainliest Appreciated.

6 0
2 years ago
Divide 29 into two parts so that the sun of the squares of the parts is 425.Find the value of each Part.
Taya2010 [7]

Answer:

13 and 16

Step-by-step explanation:

let the 2 parts be x and y, then

x + y = 29 → (1) and

x² + y² = 425 → (2)

From (1) → x = 29 - y → (3)

substitute x = 29 - y into (2)

(29 - y)² + y² = 425 ( expand factor )

841 - 58y + y² + y² = 425 ( rearrange into standard form )

2y² - 58y + 416 = 0 ← in standard quadratic form

divide all terms by 2

y² - 29y + 208 = 0

Consider the factors of 208 which sum to - 29

These are - 13 and - 16, hence

(y - 13)(y - 16) = 0

equate each factor to zero and solve for y

y - 13 = 0 ⇒ y = 13

y - 16 = 0 ⇒ y = 16

substitute these values into (3)

x = 29 - 13 = 16 and x = 29 - 16 = 13

The 2 parts are 13 and 16


4 0
3 years ago
Read 2 more answers
Which equation could be used to find the length of the hypotenuse?
Komok [63]

Answer:

<h3>(base)² + (altitude)² = (hypotenuse) ²</h3>

Therefore,

2²+5² = c² will be matched.

7 0
2 years ago
Other questions:
  • Will the border line of the graph of y &lt; - 2 + 4x + 5 be a solid line or a broken<br> line?
    14·1 answer
  • Draw a set of objects where you can find a fractional part of the group using the total number of objects and by using subgroups
    8·1 answer
  • How many cookies did the baker make before he opened the store? WILL GIVE BRAINLIEST
    8·2 answers
  • Someone please help ASAP will give brainliest
    9·2 answers
  • Which function is increasing?
    5·2 answers
  • Siri round each number to the place of the underlined digit 7.158 The underlined number is five
    5·1 answer
  • Write the x-intercept of the graph of -6x + y = 8.
    6·1 answer
  • Determine the coordinates of the y-intercept of the function shown in the graph.
    7·1 answer
  • Help with number 5 please
    12·1 answer
  • Plz help me I dont understand
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!