All categories

4 years ago

The surface area of a square pyramid is 136 square inches. The base is 4 inches. What is the slant area

1 answer:

4 0

34 inches. How you work it out would be base x height. This means to work out the height, you divide the total area by the base. 136/4 is 34

You might be interested in

How many permutations of the 26 letters of the English alphabet do not contain any of the strings fish, rat, or bird

NARA [144]

The number of permutations of the 26 letters of the English alphabet that do not contain any of the strings fish, rat, or bird is 402619359782336797900800000

Let

$\mathcal{E}=\{\text{All lowercase letters of the English Alphabet}\}\\\\B=\overline{\{b,i,r,d\}} \cup \{bird\}\\\\F=\overline{\{f,i,s,h\}} \cup \{fish\}\\\\R=\overline{\{r,a,t\}} \cup \{rat\}\\\\FR=\overline{\{f,i,s,h,r,a,t\}} \cup \{fish,rat\}$

Then

$Perm(\mathcal{E})=\{\text{All orderings of all the elements of } \mathcal{E}\}\\\\Perm(B)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing bird}\}\\\\Perm(F)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing fish}\}\\\\Perm(R)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing rat}\}\\\\Perm(FR)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing both fish and rat}\}\\$

Note that since

$F \cap R=\varnothing$ , $Perm(F)\cap Perm(R)\ne \varnothing$

But since

$B \cap R \ne \varnothing$ , $Perm(B)\cap Perm(R)= \varnothing$

and

$B \cap F \ne \varnothing$ , $Perm(B)\cap Perm(F)= \varnothing$

Since

$|\mathcal{E} |=26 \text{, then, } |Perm(\mathcal{E})|=26! \\\\|B|=26-4+1=23 \text{, then, } |Perm(B)|=23!\\\\|F|=26-4+1=23 \text{, then, } |Perm(F)|=23!\\\\|R|=26-3+1=24 \text{, then, } |Perm(R)|=24!\\\\|FR|=26-7+2=21 \text{, then, } |Perm(FR)|=21!\\$

where $|Perm(X)|=\text{number of possible permutations of the elements of X taking all at once}$

and

$|Perm(F) \cup Perm(R)| = |Perm(F)| + |Perm(R)| - |Perm(FR)|\\= 23!+24!- 21! \text{ possibilities}$

What we are looking for is the number of permutations of the 26 letters of the alphabet that do not contain the strings fish, rat or bird, or

$|Perm(\mathcal{E})|-|Perm(B)|-|Perm(F)\cup Perm(R)|\\= 26!-23!-(23!+24!- 21!)\\= 402619359782336797900800000 \text{ possibilities}$

This link contains another solved problem on permutations:

brainly.com/question/7951365

6 0

3 years ago

Help I can’t figure it out.

polet [3.4K]

The discount price would be $21.98

The final price would be $124.56

yw, mwah

7 0

3 years ago

Lisa wants to buy a computer, this computer costs $400, its on sale for 30% off, if you buy it before 9AM to get an additional 1

STatiana [176]

Answer:

hope this helps A chair that costs $210 was reduced by 40% for a one-day sale. After the sale, the sale price was ... SALE. tmsysWOW!$10 OFF ... off. 1.83. 169 99. Buy 1 Large Cheese Pizza for $12.50,. Get the 2nd for 1 offi ... Tai has a coupon for 20% off his total. Tax is. 8.25%. Find the total cost of Tai's purchase after the discount and tax.

Step-by-step explanation:

7 0

3 years ago

PLEASE HELP! THIS IS AN EASY QUESTION!!!

Elenna [48]

Answer:

about 23 units

Step-by-step explanation:

8 0

3 years ago

A large container holds 8 gallons of water. After 56 minutes the container only has 1 gallon of water left. At what rate is the

Korvikt [17]