Thomas wants to put a fence around a rectangular garden that is 12 feet long and 7 feet wide. How much fencing will he need?

Answer:

74

Step-by-step explanation:

A= Least common multiple of 12,24,36

Factors of 12 = 2*2*3

Factors of 24 = 2*2*2*3

Factors of 36 = 2*2*3*3

A = 2*2*2*3*3 = 72

B = Lowest prime number = 2

A+B = 72+2 = 74

[tex]For \: x = -1 , y = 2(-1) + 3 = 1 [/tex]

[tex]For \: x = 0, y = 2(0) + 3 = 3[/tex]

[tex]For \: x = -3, y = 2(-3) + 3 = -3[/tex]

[tex]For \: x = 2, y = 2(2) + 3 = 7 [/tex]

Answer:

So, friend Let me solve the question for you :

let's use disturbutive property

67 x 5 - 67 × 3

67 × (5-3)

67 ×2 = 134

Step-by-step explanation:

Hope it. helps PISas Markbrainliest

Answer:

You got paid $40.20

Step-by-step explanation:

First let's find out how many 5's they gave him:

$67 (brother's money) ÷ 5 = 13.4 (how many times they paid him)

Now we find out how much money they gave you:

$3 (how much they give you) x 13.4 = $40.20 (your total money)

Answer:

The height of the plane is 405 meters

Step-by-step explanation:

Trigonometric Ratios

The situation can be represented as shown in the image below. The ground, the height H, and the direct distance to the plane to the shipwreck form a right triangle, where the trigonometric ratios stand.

Since the known distance is adjacent to the angle, and the required height is opposite to the given angle, we use the tangent ratio, defined as:

[tex]\displaystyle \tan\ x=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan 5^\circ=\frac{H}{4629}[/tex]

We need to find H, so we solve for H:

[tex]H=4629\cdot\tan5^\circ[/tex]

H=405 m

The height of the plane is 405 meters

Answer:

steps B and D

Step-by-step explanation:

the correct chart is below :)

The steps which must be switched to put the proof in order are steps B and D

Since [cos(θ) + isin(θ)]k + 1

= [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1

= [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]

= cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]

= cos(kθ + θ) + isin(kθ + θ)

= cos[(k + 1)θ] + isin[(k + 1)θ]

Since the step after A is [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)] = D, and the step after C is cos(kθ + θ) + isin(kθ + θ) = B.

So, steps B and D must be switched.

The steps which must be switched to put the proof in order are steps B and D.

Learn more about De Moivre's theorem here:

https://brainly.com/question/11889817

Answer:

3x²-1

Step-by-step explanation:

f(x) = x²

g(x) = 3x-1

[g·f](x)

g(f(x))

3(x²)-1

Answer:

124.35 X 6.75

Step-by-step explanation:

The total cost of Anya's purchase of home improvement hardware is 132.74  dollars.

What is percentage?

The percentage is the value per hundredth.

It is given that, the sales tax is 6.75% which is not there in the home improvement hardware which cost 124.35 dollars to Anya.

The total cost of purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,

= (106.75/100)×124.35 dollars.

= 1.0675×124.35 dollars.

= 132.74 dollars.

learn more about percentage here :

brainly.com/question/24159063

#SPJ5

Answer:

86.9

Step-by-step explanation:

This is because after the decimal point, it goes to the tenths place and then the thousands place, therefore, if you round it, it would be 86.9.

Answer:

300,000,000

10,000,000

700,000

60,000

3,000

20

9

Step-by-step explanation:

Answer:

x ax-s can be horizontal and top

y axis is bottom

Step-by-step explanation:

Answer:

157.6

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

From the question:

Mean = 140

Standard deviation = 40

Recidivism score = x score = ??

z = z score of 67th percentile = 0.44

Hence,

0.44 = x - 140/40

Cross Multiply

0.44 × 40 = x - 140

17.6 = x - 140

x = 140 + 17.6

x = 157.6

Therefore, his corresponding recidivism score is 157.6

Answer:

(-15)

Step-by-step explanation:

(-7) - 8 = (-15) (Range is the difference between Max and Min Value)

please follow me and mark as brainliest

Answer:

Step-by-step explanation:

Slope= -3/1

plot from point  (-2,4)

Answer:

Step-by-step explanation:

Just so that we have something to work with, the length of the longest day (June 22) in Acron Ohio is 15 hours 8 minutes and 9 seconds on the 20th of June of this year. The number we get won't be this accurate, but it will tell us if we have done it correctly. The tricky part is when to use the radians.

cos(0.1309 H) = -0.4336 tan (40o 46 minutes)  I have assumed this is in radians. It won't work any other way. The measurement cannot be in degrees which will give a negative tan from the minus sign out in front. The cos being minus will make things even worse.

cos(0.1309 H) = -0.4336 tan (40 46/60  )

cos(0.1309 H) = -0.4336 tan (40.766666667)

cos(0.1309 H) = -0.4336 * -0.074173405

cos(0.1309 H) = 0.032161588

0.1309 H = cos-1(0.032161588)

0.1309 H =  1.538629191

H = 1.538629191 / 0.1309

H = 11.754 which is no where near 15 hours, but it is what the numbers give.

I would suggest that you go to your instructor for the other two. Work this one out until you get somewhere near 11.7 hours.

The other two cities should come to something near  this answer.  

Answer:

11/200

Step-by-step explanation:

This is the correct answer boo

Answer:

is this the question ?

Step-by-step explanation:

Answer:

A. 40x + 10y + 10z = $160

B. 8 Roses, 2 lilies and 2 irises

C.

1. 20x + 5y + 5z = $80

2. 4x + y + z = $16

3. 8x + 2y + 2z = $32

Step-by-step explanation:

Cost for each flower = $160/5 = $32

So we have $32 for each bouquet consisting of 12 flowers each.

Roses = x = $2.50 each

lilies = y = $4 each

irises = z = $2 each

8x + 2y + 2z = $32

8($2.50) + 2($4) + 2($2) = $32

$20 + $8 + $4 = $32

$32 = $32

a. Maximum budget is $160

40x + 10y + 10z = $160

40($2.50) + 10($4) + 10($2) = $160

$100 + $40 + $20 = $160

$160 = $160

b. From above

8x + 2y + 2z = $32

8 Roses, 2 lilies and 2 irises

c. No. There are other solutions If total cost is not limited

1. 20x + 5y + 5z

20($2.50) + 5($4) + 5($2)

$50 + $20 + $10

= $80

2. 4x + y + z

4($2.50) + $4 + $2

$10 + $4 + $2

= $16

3. 8x + 2y + 2z

8($2.50) + 2($4) + 2($2)

$20 + $8 + $4

= $32

Answer:

4 cans of paint

Step-by-step explanation:

Half of a can = 1/8 of the outside of the house.

2 halves = whole can of paint

8/2=4

4 cans of paint

Answer:

1) 20

Step-by-step explanation:

40% percent of this number is only a small amount.

20

Step-by-step explanation:

40 percent of this number is a small amount

Complete question :

Find the standard deviation of the following data. Round your answer to one decimal place.

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Answer:

1.833

Step-by-step explanation:

Given the data :

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Standard deviation (s) = Sqrt[Σx²*f(x) - E(x)²]

E(x) = (0*0.2) + (1*0.3)+(2*0.1)+(3*0.1) + (4*0.1) + (5 * 0.2) = 2.2

Sqrt[Σx²*f(x) - E(x)²]: [(0^2 * 0.2)+(1^2 * 0.3)+(2^2 * 0.1)+(3^2 * 0.1) + (4^2 * 0.1) + (5^2 * 0.2)] - 2.2²

Sqrt(8.2 - 4.84) = 1.833

Answer: If we multiply then I guess it’s 26*3=78 and 78*20=1,560

Step-by-step explanation:

Answer:

0.96

Step-by-step explanation:

Given that the a die is rolled 8 number of times.

[tex]n[/tex] = 8

Probability of getting a 6 on roll of a die,  [tex]p=\frac{1}{6}[/tex]

Probability of not getting a 6 on roll of a die,  [tex]q=1-p=1-\frac{1}{6}=\frac{5}{6}[/tex]

Probability of getting 6 three or fewer times:

[tex]P(r \le 3)=P(r=0)+P(r=1)+P(r=2)+P(r=3)[/tex]

Formula:

[tex]P(r=k)=_nC_k.p^k.q^{n-k}[/tex]

Putting the values using this formula:

[tex]P(r \le 3)=_8C_0.\frac{1}{6}^0.\frac{5}{6}^{8-0}+_8C_1.\frac{1}{6}^1.\frac{5}{6}^{8-1}+_8C_2.\frac{1}{6}^2.\frac{5}{6}^{8-2}+_8C_3.\frac{1}{6}^3.\frac{5}{6}^{8-3}\\\Rightarrow P(r \le 3)=1.\frac{5}{6}^{8}+8.\frac{1}{6}.\frac{5}{6}^{7}+28.\frac{1}{36}^2.\frac{5}{6}^{6}+56.\frac{1}{216}.\frac{5}{6}^{5}\\\Rightarrow P(r \le 3)=0.23+0.37+0.26+0.1=\bold{0.96}[/tex]

Answer:

$13.5

Step-by-step explanation:

l= P×R×T/100

I= 12,500×9×12/100

l= $13,5

The interest earned for his investment after 12 years is $13,500.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.

Given that, P=$12,500, rate of interest=9% and time period=12 years.

Here, simple interest = (12500×9×12)/100

= 1350000/100

= 13,500

So, the interest is $13,500

Therefore, the interest earned for his investment after 12 years is $13,500.

To learn more about the simple interest visit:

https://brainly.com/question/25845758.

#SPJ3

Answer:

C

Step-by-step explanation:

Answer:

AB is 13

Step-by-step explanation

Answer:

Step-by-step explanation:

(p²)²+2²

(p²+2)²-2p²2

(p²+2)²-4p²

(p²+2)²-(2p)²

(p²+2-2p)(p²+2+2p)