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likoan [24]
3 years ago
11

Mark wants to fence 4 rectangular gardens, each with a length of 9 1/4 feet and a width of 4 1/2feet. What is the length of fenc

ing mark needs to surround all 4 gardens
Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0

Answer:

110 ft  

Step-by-step explanation:

The length of fencing is four times the perimeter of one garden.

The formula for the perimeter of a rectangle is  

P = 2l + 2w

The total perimeter for all four rectangles is

P = 4× (2l + 2w) = 8l + 8w

Data:

 l = 9¼ ft

w = 4½ ft

Calculation:

P = 8l + 8w = 8×9¼ + 8×4½ = 72⁸/₄ + 32⁸/₂ =(72 + 2) + (32 + 4) = 74 + 36 = 110 ft

The total length of fencing is 110 ft.

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arsen [322]

Answer: 16t^6−40t^3+25 is the answer

first lets set the equation as a binomial *remember 2 binomial= trinomial*

so its going to look something like..........

(4t^3-5) (4t^3-5)

now we do the foil method so 4t^3* 4t^3= 16t^6 (add exponents)

do the same for the other terms:

4t^3*-5= -20t^3

-5*4t^3= -20t^3

-5*-5= 25

now the whole equation is...

16t^6-20t^3-20t^3+25 (combine like terms like -20t^3 and -20t^3)

therefor the answer is... 16t^6-40t^3+25

4 0
3 years ago
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 26 feet a
Setler [38]

Answer:

3183.96 ft^3

Step-by-step explanation:

let pi = 3.14

volume of a cylinder is base * height

find the base: (area of circle)

height is given

container A:

circle area = 530.66

multiply 530.66 by the height (13)

530.66 * 13 = 6898.58

container B:

circle area = 530.66

multiple 530.66 by the height (19)

530.66 * 19 = 10082.54

Find empty space:

10082.54-6898.58 = 3183.96

4 0
2 years ago
Please Help!
vaieri [72.5K]

You're given an if-then statement which has the structure

"If A, then B"

where A and B are some events.

The converse of this kind of statement reverses the roles of A and B, so that it would say

"If B, then A"

Not to be confused with the inverse, which is the negation of both events and says

"If <em>not</em> A, then <em>not</em> B"

as well as the contrapositive, which is the converse of the inverse, and says

"If <em>not</em> B, then <em>not</em> A"

A bi-conditional statement is sort of a combination of the original statement and the converse, one that says both

"If A, then B"

as well as

"If B, then A"

which means that given either A or B, the other one is also true. Typically this gets condensed into one statement in the form

"A if and only if B"

(and sometimes "if and only if" is abbreviated "iff")

For the given statement,

"If a person is the 44th President of the United States, then that person is Barack Obama"

the converse would be

"If a person is Barack Obama, then that person is the 44th President of the United States"

Then a bi-conditional version of this statement would be

"A person is the 44th President of the United States <em>if and only if</em> that person is Barack Obama"

6 0
3 years ago
SomEone <br> PLEASE HELP ME!!!!
Lesechka [4]

We have a law in geometry called ((power of a node)) the formula is:

fe \times fd =  {gf}^{2}

according to the formula:

9(FD)=12^2 ==> FD=144/9=16

8 0
3 years ago
An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonet
Nonamiya [84]

Answer:

Probability = 0.108375

Step-by-step explanation:

Given

Let the probability of false positive be represented with p

p = 0.15

Required

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We have that:

p = 0.15

The  probability that a trustworthy person do not fail the test (q) is:

q = 1 - p

q = 1 - 0.15

q = 0.85

The required probability implies that:

The first person did not fail: i.e. 0.85

The second person did not fail: i.e. 0.85

The third person failed: i.e. 0.15

This is then calculated as:

Probability = 0.85 * 0.85 * 0.15

Probability = 0.108375

<em>Hence, the probability that the first false positive occurred at the third person is 0.108375</em>

6 0
3 years ago
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