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
Olegator [25]
3 years ago
11

Find the surface area of a pyramid with a square base with dimensions 100 mm by 100 mm and height of 75 mm.

Mathematics
1 answer:
Reil [10]3 years ago
8 0

To solve for the surface area of the pyramid, we make use of the formula:

A= l w + l [sqrt ((w / 2)^2 + h^2)] + w [sqrt ((l / 2)^2 + h^2))

where,

l and w are the base of the pyramid = 100 mm

h is the height of the pyramid = 75 mm

 

Substituting the given values into the equation:

A= 100 * 100 + 100 [sqrt ((100 / 2)^2 + 75^2)] + 100 [sqrt ((100 / 2)^2 + 75^2))

A = 10,000 + 100 (sqrt 2575) + 100 (sqrt 2575)

A = 20,148.90 mm^2

 

Therefore the surface area of the pyramid is about 20,149 mm^2.

You might be interested in
Assume that there are 2 trials.
vampirchik [111]
Answer: The p(success) = 0.6

Your question is a little unclear, but I believe you are asking about the probability that at least one of the trials in the experiment were successful.

If that is the case, you simply have to add the probability of 1 success with the probability of 2 successes.

That is 0.48 +  0.16 = 0.64

Rounding our answer to one decimal place gives us 0.6.
7 0
2 years ago
Read 2 more answers
Which of the following could be true if y ≤ -75?
Charra [1.4K]

Answer:-74

Step-by-step explanation: When you are in the megatives, less is more! So -74 is actually greater then -75

6 0
3 years ago
Let M be the set of all nxn matrices. Define a relation on won M by A B there exists an invertible matrix P such that A = P BP S
Sophie [7]

Answer:

Recall that a relation is an <em>equivalence relation</em> if and only if is symmetric, reflexive and transitive. In order to simplify the notation we will use A↔B when A is in relation with B.

<em>Reflexive: </em>We need to prove that A↔A. Let us write J for the identity matrix and recall that J is invertible. Notice that A=J^{-1}AJ. Thus, A↔A.

<em>Symmetric</em>: We need to prove that A↔B implies B↔A. As A↔B there exists an invertible matrix P such that A=P^{-1}BP. In this equality we can perform a right multiplication by P^{-1} and obtain AP^{-1} =P^{-1}B. Then, in the obtained equality we perform a left multiplication by P and get PAP^{-1} =B. If we write Q=P^{-1} and Q^{-1} = P we have B = Q^{-1}AQ. Thus, B↔A.

<em>Transitive</em>: We need to prove that A↔B and B↔C implies A↔C. From the fact A↔B we have A=P^{-1}BP and from B↔C we have B=Q^{-1}CQ. Now, if we substitute the last equality into the first one we get

A=P^{-1}Q^{-1}CQP = (P^{-1}Q^{-1})C(QP).

Recall that if P and Q are invertible, then QP is invertible and (QP)^{-1}=P^{-1}Q^{-1}. So, if we denote R=QP we obtained that

A=R^{-1}CR. Hence, A↔C.

Therefore, the relation is an <em>equivalence relation</em>.

4 0
3 years ago
PLZ HELP <br> Which polynomial is written in standard form?
kotykmax [81]
I’m pretty sure it looks like it’s D
4 0
3 years ago
A product is made up of three parts that act independently of each other. If any of the parts is defective, the product is defec
natali 33 [55]

Answer:

The probability that a product is defective is 0.2733.

Step-by-step explanation:

A product consists of 3 parts. If any one of the part is defective the whole product is considered as defective.

The probability of the 3 parts being defective are:

P (Part 1 is defective) = 0.05

P (part 2 is defective) = 0.10 P (part 3 is defective) = 0.15

Compute the probability that a product is defective as follows:

P (Defective product) = 1 - P (non-defective product)

= 1 - P (None of the 3 parts are defective)

= 1 - P (Part 1 not defective) × P (Part 2 not defective) × P (Part 1 not defective)

=1-[(1-0.05)\times(1-0.10)\times (1-0.15)]\\=1-[0.95\times0.90\times0.85]\\=1-0.72675\\=0.27325\\\approx0.2733

Thus, the probability that a product is defective is 0.2733.

3 0
2 years ago
Read 2 more answers
Other questions:
  • Pls help a brother out!
    14·2 answers
  • 2 (k + 2) = 8k - 5 - 3k
    9·2 answers
  • Shelley delivered 12 newspapers after 20 minutes and 36 papers after 60 minutes what is the independent variable and the depende
    15·1 answer
  • 809÷62 check for reasonableness
    15·1 answer
  • Find the slope of the line that contains (1,6) and (10, -9).
    8·2 answers
  • Can sumbody help meh wit dis plz
    15·2 answers
  • Math practice <br> Will give brainest if correct
    6·1 answer
  • I need help with this question, i will give branliest
    13·2 answers
  • If I have a 52 degree angle, what would be the COMPLEMENTARY angle measure.
    8·1 answer
  • What is the slope of the line in the graph below?<br> (look at picture)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!