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
postnew [5]
3 years ago
5

A square pyramid and a cube have the same surface area. The length of each side of the base of the square pyramid is 10 feet. Th

e width of the cube is 6 feet. What is the slant height of the square pyramid?
Mathematics
1 answer:
Brrunno [24]3 years ago
5 0

Answer:

The answer to your question is 23.2 ft

Step-by-step explanation:

Data

length square pyramid = 10 ft

width of a cube = 6 ft

height of the pyramid = ?

The surface area is equal in both figures.

Formula

Surface area of a cube = 6a²

Surface area of a square pyramid = ab + al = l x l + (l x h) /2

Process

1.- Calculate the surface area of the cube

           Ac = 6(6)² = 6(36)

                            = 216 ft²

2.- Substitute data in the square pyramid formula

           Ap = (10 x 10) + (10h)/2

3.- Equal both areas

               216 = 100 + 5h

- Solve for h

               216 - 100 = 5h

                         116 = 5h

                          h = 116 / 5

- Result

                          h = 23.2 ft                          

You might be interested in
a cold wave hit chicago when the temperature hit 62 f during the cold wave the temperature dropped 2 degrees every hour how many
Vladimir [108]
We start at 62 Fahrenheit. And every hour we drop two degrees. We want to know how long it took for the temperature to drop to 40 Fahrenheit.

If one hour passed, then the temperature dropped two degrees.
If two hours passed, then the temperature dropped 4 degrees.

See the pattern? We can define this as 2h. Where h represents time in hours.
We subtract 2h from 62. 

We can write this as a function. F(h) = 62 - 2h.
Where F is the temperature in Fahrenheit. And h is the hour(s).

Now that we have the formula, let's plug in the value 40 Fahrenheit to see how long it took for the temperature to drop to 40 degrees.

40 = 62 - 2h
Subtract 62 from each side

-22 = -2h
Divide both sides by 2

h = 11

So, it took 11 hours for the temperature to drop to 40 Fahrenheit.
3 0
3 years ago
Can you guys help me on question 8 and 9 :)
Reika [66]

Answer:

for 8 i think its a b and c sorry if am wrong

8 0
3 years ago
Please answer! ill give you brainliest :)
Levart [38]

Answer:

answer what?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 121212 inc
My name is Ann [436]
He will need 17 inches of ribbon.

The diagonal splits the square into two right triangles.  We can then use the Pythagorean theorem to find the length of the diagonal (the hypotenuse of the triangle):

12² + 12² = x²
144 + 144 = x²
288 = x²

Take the square root of both sides:
√288 = √x²
16.97 = x
17≈x
8 0
4 years ago
Ten times the square of a nonzero number is equal to forty times the number. what is the number?
Virty [35]
For the answer to the question, what is t<span>Ten times the square of a nonzero number is equal to forty times the number</span><span>10∗x2=40x</span>the question's statement<span>x2−4x=0</span>simplifyx(x−4)=0factor out an x x=0,x=4 the two solutions
5 0
4 years ago
Other questions:
  • Apple is having a 20% off sale . i bought my new Ipod for 40 pounds how much was it orignally​
    11·1 answer
  • If 5 times the square of an integer is added to 3 times the integer, the result is 2. Find the integer. (Simplify your answer co
    14·1 answer
  • Adapting nd using formulas
    14·1 answer
  • Jill bought a house for $250,000. The expected depreciation of a house is 18% a year. When will her
    15·1 answer
  • Please help <br> For b: T=b/2-g
    11·1 answer
  • A cat had a litter of 5 kittens. If each sex is equally likely, what is the probability that 3 or less were female kittens? 0.31
    6·2 answers
  • 67 to the square root of 78
    10·2 answers
  • Someone please explain to me how to do this ‼️
    10·1 answer
  • If the maximum value of y=-3x² + mx + 10 is 37, find the values of m.​
    9·2 answers
  • 1.3. If Sara draws a red ball and DOES NOT RETURN it, and then she goes to draw a green
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!