What amount of fencing (in feet) is needed?

(b)What is the total cost (in dollars) of the fencing if it costs $1.69 per foot?

Answer:

The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.

Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.

We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.

We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.

Solving for "h", we get h = LSA / (s1+s2+s3)

For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

Answer:

66 students prefer the zoo

Step-by-step explanation:

I got it correct :)

Answer:

Step-by-step explanation:

The answers is Scenic pathway has no sign up fee and a greater cost per day

Answer:

it is option C

Step-by-step explanation:

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1/ a cube and b to the power 4

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The perfect square of the given expression can be created by adding 36 to the expression, then the expression will reduce to,

(x-6)² = x² - 12x + 36

Hence, the correct option is C.

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Answer:

Four tenths

Step-by-step explanation:

You are correct. The dot is on 0.4. the 4 is in the tenths place, so four tenths.

Answer:

D

Step-by-step explanation:

This is a pythagoream thereom question, the area of a square can be found by multiplying the sides. All the sides of a sqaure are the same so we are basically sqauring the side lengths. That is where the [tex]BE^{2}[/tex] and [tex]BH^{2}[/tex] come from. The problem tells us that the area of the two small squares are equal to the one bigger square. And the area of the bigger sqaure can be found by squaring that side EH. So [tex]BE^{2}[/tex]+[tex]BH^{2} =EH^{2}[/tex].

Answer:

For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.

(6, 8)

Step-by-step explanation:

please mark this answer as brainliest

Answer:

10

Step-by-step explanation:

The required interest earned on $5,750 deposited into savings account for 3 1/2 years at an annual interest rate of 4.5% is $905.63.

Principal amount (p) = $ 5750, Rate = 4.5%
Tenure or time = 3 1/2 = 3.5 years. Interest earned to be determined.

Interest is the outlay you pay to borrow money. Interest is often deliberated as an annual percentage of a loan amount.

Here,
[tex]Interest = principle*rate*time[/tex]
Interest = 5750 * 4.5%*3.5
interest = 5750*0.045*3.5
             =  2587.75*3.5
             =  905.63
Intrest earned = $905.63 against $5,750 deposited into savings account for 3 1/2 years.

Thus, the required interest earned on $5,750 deposited into savings account for 3 1/2 years at an annual interest rate of 4.5% is $905.63.

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Answer:

28 sets

Step-by-step explanation:

Because 10x3=30+73=103 then 103+200=303 keep that in mind then you    

                     ^

                 3 sets

Do 549-303=246=25 sets then 25 sets+3sets=28 sets

Answer:

Inequality: 10s + 273 ≥ 549

Answer: s ≥ 27.6

Step-by-step explanation:

Have a good day :)

Answer:

$24,992

Step-by-step explanation:

The equation for simple interest is I = PRT where I is the interest earned, P is the principal deposited/borrowed, R is the rate as a decimal, and T is time in years.

I = (17,600)(0.084)(5)

I = 7,392

The total amount that must be repaid is the interest + the principal:

7,392 + 17,600 = 24,992

Please let me know if you have questions

Answer:

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)

Step-by-step explanation:

Very clear deck :

n1 = 38

x1 = 89.2

s1 = 3.1

Sure seal

n2 = 37

x2 = 92.4

s2 = 3.8

Confidence interval for difference in sample means :

(X1 - X2) ± margin of error

(X1 - X2) ± Tcritical * sqrt(s1²/n1 + s2²/n2))

Using the degree of freedom calculator ; df = 70

Margin of Error : Tcritical * sqrt(s1²/n1 + s2²/n2))

Tcritical at 90% confidence interval, df = 70 = 1.688

Margin of Error = 1.666 * sqrt(3.1²/38 + 3.8²/37)

Confidence interval :

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)

9514 1404 393

Answer:

  11.1

Step-by-step explanation:

The tangent makes a right angle with the diameter at the point of tangency. So, the triangle is a right triangle, and the Pythagorean theorem can be used to find the length of x. The radius is shown as 7.1, so the diameter will be 14.2.

  x^2 + 14.2^2 = 18^2

  x^2 = 122.36

  x = √122.36 ≈ 11.1

The length of the tangent is about 11.1 units.

Answer: I think C.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

42/48=7/8

40/48=5/6

(お役に立てれば！)

Answer:

d

Step-by-step explanation:

please mark as brainliest if correct

thank you

have a great day/night

:)

Answer:

a) Because both sides are perfect squares b) (x-4)² – 28 = 8

(x–4)² = 36

Square root both sides

√(x–4)² = √36

x–4 = 6

x= 10

Step-by-step explanation:

(x–4)(x–4) = 36

x² – 8x+ 16 = 36

x² – 8x – 20 = 0

(x² + 2x)( –10x – 20) = 0

x(x+2) – 10(x+2) = 0

(x+2)(x–10) = 0

x = 10 or –2

x = 10

a.  If the power of x is 2 then the value of x will be 2.

b.  The values of the x are 6 and -2.

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].

a.  If the power of x is 2 then the value of x will be 2. And in the equation the power of x is 2 then the solution for the x will be two.

b.  The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].

On simplifying

Add 28 both the sides, we have

[tex]\rm (x- 4)^2 = 36[/tex]

Taking square root both the sides, then we have

[tex]\rm x- 4 = \pm 6[/tex]

Add 4 both the sides,

[tex]\rm x = \pm 6+ 4\\\\x = 6 + 4, - 6 + 4\\\\x = 10 , -2[/tex]

Thus, the values of x are 6 and -2.

More about the simplification link is given below.

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Answer:

Yes you can.

Step-by-step explanation:

Multiply length x width.

Other:

If you want me to find the exact answer, it is not currently possible as you haven't given me any dimensions.

Answer: 1324 in^2

Step-by-step explanation:

Answer:

Y=-55x + 600

Step-by-step explanation:

Answer:

y = |x| - 4

Step-by-step explanation:

this translates the function y down by 4 as is required

Answer:

1

Step-by-step explanation:

36 months is equal to 3 years.

There are 12 months in a year.

36/12=3

3/3=1

Answer:

The answer is 23 chocolates

Step-by-step explanation:

You do 5 times 5 for her eating 5 chocolates a day for 5 days to get 25 and then you take 48 and subtract it by 25 and you get 23

Answer:

I think it's A, if you just subtract 25 from each top # you should get the right one

edit; yah it's A

Answer:

B is the correct answer

Step-by-step explanation:

Look at the graph. For every day, there should be 25 less containers of peanuts than popcorns. Let X represent popcorns. Everyday, X - 25 should be your amount of peanut containers.

Only A and B works, so now just add the total amount of containers for both peanuts and popcorns.

225 + 200 + 150 + 300 + 200 + 175 + 125 + 275 = 1650

Only B matches the description of 1650 total containers. So, B is your answer.

Answer:

1.12838m or 1.13m

Step-by-step explanation:

hope this helps

Answer:

a = 65 yd is the answer.

Step-by-step explanation:

a = ?

b = 72 yd

c = 97 yd

According to the Pythagoras theorem,

a² + b² = c²

a² + 72² = 97²

a² + 5184 = 9409

a² = 9409 - 5184

a² = 4225

a = 65 yd

∴ a = 65 yd is the length of the missing leg.

Answer:

11

Step-by-step explanation:

Find the length of the hypotenuse of the right triangle with sides 9 and 6

[tex]a^{2} +b^{2} =c^{2} \\9^{2} +6^{2} =c^{2} \\81+31=c^{2} \\\sqrt{117} =c[/tex]

Use c and the height 2 to find the hypotenuse of the triangle with the dotted line

[tex]\sqrt{117} ^{2} +2^{2} =c^{2} \\117+4=c^{2} \\221=c^{2} \\11=c[/tex]

the dotted line is 11