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otez555 [7]
3 years ago
5

The length of a rectangle is three times its width. If the area of the rectangle is 192 ft^2, find its perimeter

Mathematics
2 answers:
allochka39001 [22]3 years ago
6 0
Lets x = width
length = 3x

A = length times width
A = x * 3x
192 = 3x^2
192/3 = x^2
64 = x^2
8 = x

so width = 8
length = 3x = 3(8) = 24

P = 2(L + W)
P = 2(24 + 8)
P = 2(32)
P = 64

answer
P = 64 feet
Blababa [14]3 years ago
3 0
Answer: 64 feet.

Explanation:
Perimeter formula: 2l + 2w
Area formula: l•w
Length = 3w
Area = 192 ft^{2}
192 = (3w) • w 
192 = 3w^{2}
192 ÷ 3 = 3w^{2} ÷ 3
64 = w^{2} 
\sqrt{64} = \sqrt{ w^{2} }
8 = w 

Width = 8
Length = 3(8) = 24 
Perimeter = 2(24) + 2(8) = 64 feet.

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The radius of a cylindrical water tank is 6.5 ft, and its height is 17 ft. What is the volume of the tank?
lara31 [8.8K]

Answer:

pi*36*10 = 1131 cubic feet

Step-by-step explanation:

MARK AS BRAINLEST!!

7 0
3 years ago
Read 2 more answers
In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume t
Angelina_Jolie [31]

Answer:

P(X = 0) = 0.027

P(X = 1) = 0.189

P(X = 2) = 0.441

P(X = 3)= 0.343

Step-by-step explanation:

The probability mass function P(X = x) is the probability that X happens x times.

When n trials happen, for each x \leq n, the probability mass function is given by:

P(X = x) = pe_{n,x}.p^{x}.(1-p)^{n-x}

In which p is the probability that the event happens.

pe_{n,x}, is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:

pe_{n,x} = \frac{n!}{x!}

The sum of all P(X=x) must be 1.

In this problem

We have 3 trials, so n = 3

The probability that a wafer pass a test is 0.7, so p = 0.7

Determine the probability mass function of the number of wafers from a lot that pass the test.

P(X = 0) = (0.7)^{0}.(0.3)^{3} = 0.027

P(X = 1) = pe_{3,1}.(0.7).(0.3)^{2} = 0.189

P(X = 2) = pe_{3,2}.(0.7)^{2}.(0.3) = 0.441

P(X = 3) = (0.7)^{3} = 0.343

5 0
4 years ago
An average person in the country needs 2,450 kilocalories(kcal) / day of food to meet their full nutritional needs. The average
OlgaM077 [116]

Answer:

The answer to your question is 0.057 ha

Step-by-step explanation:

Data

Kilocalories needed for a person per day = 2450

Kilocalories produced per hectare = 15737000

Process

1.- Calculate the number of kcal needed per a person for a year

                     2450 kcal ----------------- 1 day

                         x            ----------------- 365 days

                              x = (365 x 2450) / 1

                             x = 894250 kcal

2.- Calculate the amount of land needed

                    15737000 kcal ------------- 1 ha

                        894250 kcal ------------  x

                          x = (894250 x 1) / 15737000

                          x = 0.057 ha

7 0
3 years ago
Please answer this question! 20 points and brainliest!
azamat

Step-by-step explanation:

You have to substitute... 0, 5, & 10, & 3

y = 2x + 3

y = 2(0) + 3

y = 0 + 3

y = 3

(0,3)

y = 2x + 3

y = 2(5) + 3

y = 10 + 3

y = 13

(5,13)

y = 2x + 3

y = 2(10) + 3

y = 20 + 3

y = 23

(10,23)

y = 2x + 3

y = 2(3) + 3

y = 6 + 3

y = 9

(3,9)





5 0
3 years ago
a line with slope 3 passes through point (0,10). What is the y-coordinate of the point on the line with x-coordinate 2
skad [1K]

The y-coordinate is 16

<h3><u>Solution:</u></h3>

Given that a line with slope 3 passes through point (0, 10)

To find the y-coordinate of the point on the line with x-coordinate 2

Which means the point is (2, y)

Let us find the required y co-ordinate using slope formula

<em><u>The slope of line is given as:</u></em>

For a line containing points (x_1 , y_1) and (x_2 , y_2) is given as:

\text {slope}=m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here } x_{1}=0 ; y_{1}=10 ; x_{2}=2 ; y_{2}=y

Given that slope "m" = 3

Substituting the values we get,

\begin{array}{l}{3=\frac{y-10}{2-0}} \\\\ {3=\frac{y-10}{2}} \\\\ {6=y-10} \\\\ {y=10+6=16}\end{array}

Thus the y-coordinate is 16

8 0
3 years ago
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