a national park is a rectangle that is 33 miles wide and 56 miles long.how long is a diagonal road through the park

Answer:

A = 1/2 b * h

b = 2A / h

b = 12

Step-by-step explanation:

Remark

The formula starts out as

A = 1/2 * b * h  

You want to rearrange it to show b by itself.

Formula

Multiply by 2

2A = b * h            

Divide by h

2A/h = b

Part C

b = 2A / h

A = 36 mm^2

h = 6 mm

b = 2*36 / 6

b = 72 / 6

b = 12 mm

Answer:

0.3h

Step-by-step explanation:

Answer: at 4 months the cost for each gym is $250

Step-by-step explanation:

At 4 month, the cost for each gym is $250

The y axis of the graph represents the membership cost and the x axis represent the number of month.

The lines representing gym A and B intersect at (4, 250).

The point where the lines intersect is when the cost and the month for each gym are the same.

Therefore, at 4 month, the cost for each gym is $250

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Answer:

5 minutes costs 5.20 10 minutes cost 7.20 $20 gets you 42 minutes

Step-by-step explanation:

for 5 and 10 multiply the number of minutes by the price per minute then add 3.2 base fee.  5*.4=2 +3.2=5.2      10*.4=4 +3.2=7.2

For $20 subtract the 3.2 base fee (16.8) and divide that by the .4 a minute fee to get 42 which would be 42 minutes.

Answer:

10

Step-by-step explanation:

Note that when there are two negative signs directly next to each other, you are adding:

[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex]

Simplify:

[tex]\sqrt{100} = \sqrt{10 * 10} = 10[/tex]

10 is your value for the given expression

Answer:

Step-by-step explanation:

Answer:

point form : (9,2) equation form : x=9 y=2

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

A. First you look along the x-axis and then the y-axis to find coordinate A, doing this we could see that point A is (-3,-2)

B. Do the same for this question. Go along the x-axis to 3 and then go up 4 spaces along the y-axis, and mark an x to inicate that its their.

Answer:point a is at (-3,-2)

Step-by-step explanation:

Step-by-step explanation:

9x8= 72

therefore 36 x 2 are the products

9 n^2 - 36n + 2 n -8

9 n( n-4) + 2( n- 4)

therefore the two factors are

( 9 n +2) ( n-4)

Answer:

28, let me know if you got it right

Answer:

53°

Step-by-step explanation:

not sure what you mean by nearest degree but use the cosine ratio to get the answer.

in ΔCDE we have the hypotenuse and adjacent side so use cosine ratio : cos C= 45/75

<C=cos^1 (45/75)

<C= 53°

Answer:

1) x = 14

2) x = 25

Step-by-step explanation:

1)

3x - 2 + 50 = 90

3x + 48 = 90

3x = 42

x = 14

2)

4x + 2 + 78 = 180

4x + 80 = 180

4x = 100

x = 25

Answer:

Step-by-step explanation:

Given

5.8 ( x - 11.8) = 0

5.8x - 68.44 = 0

5.8x = 68.44

x = 68.44 / 5.8

x = 11.8

Hope it helps :)

Answer:

To find

[tex] = > [/tex]

The value of x. in the Equation =>5.8(x -11.8) = 0

Step-by-step explanation:

[tex]5.8(x - 11.8) \\ = > 5.8x - 68.44 = 0 \\ = > 5.8x =0 + 64.44 \\ = > 5.8x = 64.44 \\ = > x = 64.44 \div 5.8 \\ = > 11.8[/tex]

Hence,

Answer:

B. (-3+5i)(1)= -3+5i

Step-by-step explanation:

The multiplicative identity property states that any number or polynomial times 1 will be equal to itself. In answer B, a polynomial is multiplied by 1 and then equals itself. None of the other answers have 1 as a term, and therefore cannot be correct.

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

[tex]f(x)=\frac{e^7^x+\sqrt{3}}{2}[/tex]

[tex]y=\frac{e^7^x+\sqrt{3}}{2}[/tex]

[tex]x=\frac{e^7^y+\sqrt{3}}{2}[/tex]

[tex]2x=e^7^y+\sqrt{3}[/tex]

[tex]e^7^y=2x-\sqrt{3}[/tex]

[tex]7y=ln(2x-\sqrt{3})[/tex]

[tex]y=\frac{ln(2x-\sqrt{3})}{7}[/tex]

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

[tex]g(f(x))[/tex]

[tex]g(\frac{e^7^x+\sqrt{3}}{2})[/tex]

[tex]\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}[/tex]

2s cancel.

[tex]\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}[/tex]

The natural log and e cancel.

[tex]\frac{7x+\sqrt{3}-\sqrt{3}}{7}[/tex]

[tex]\sqrt{3}[/tex]s cancel.

[tex]\frac{7x}{7}[/tex]

7s cancel.

[tex]x[/tex]

Hope this helps!

Answer:

18 ft and 24 ft

Step-by-step explanation:

3:4

6:8

9:12

12:16

15:20

18:24, 18+24=42

The two  lengths into which the cable is divided is 18 and 24.

Given that,

Based on the above information, the calculation is as follows:

The first length be

[tex]= 42 \times 3 \div (3 + 4)[/tex]

= 18

And, the second length be

[tex]= 42 \times 4 \div (3 + 4)[/tex]

= 24

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Answer:

don't know but I think these is the answer =

17

Step-by-step explanation:

90 - 73 = 17

Answer:

√(564×564)=√564²=±564

Answer:

[tex]±564.[/tex]

Step-by-step explanation:

[tex] \sqrt{564 \times 564} [/tex]

[tex] \sqrt{ {564}^{2} } [/tex]

[tex]±564.[/tex]

It already is to the nearest cent. 25 cents.

Answer:

0

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The solution is, the required value is cot(π/3) = √3/3

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

we know that,

note :

cot a = cosa /sina

here,

so : cot(π/3) = cos(π/3)/sin(π/3)

but : cos(π/3) = 1/2  

and   sin(π/3) = √3 /2

now, we get,

cot(π/3) = (1/2) / (√3 /2)

             = (1/2)×(2/√3 )

             = 1/√3

             = (1×√3)/( √3 ×√3)

             = √3/3

Hence, The solution is, the required value is cot(π/3) = √3/3

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Answer:

Here's a screenshot. Hope this helps

Answer:

i think

]-infinte,1[u]1,+infinte[

[tex] \implies \sf \boxed{ \sf7.71}[/tex]

The remainder is 5 when 54 is divided by 7.

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

Given:

We have to divide 54 by 7.

So, the division is

                            7 | 54 | 7

                                  49

                              -_____

                                     5

Then, the remainder is 5 because we do not have number further and 5 is smaller than divisor.

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Answer:

Radius=7.5cm

Diameter=15cm

Step-by-step explanation:

The radius is half of the diameter which is the length of the circle measured across (or through I guess), so the radius is what is shown 7.5, and the radius doubled (x2) is the diameter so 7.5x2 = 15.

HOPE THAT HELPS AND MAKES SENSE! :)

Answer:

90

Step-by-step explanation:

Answer:

am preety sure the total s 40%

Step-by-step explanation:

Answer:

it's A and C

(4, -8) and (-1,7)

Step-by-step explanation:

y = -3x + 4

A. works

x = 4

y = -8

-3(4) + 4

-12 + 4 = -8

B. doesn't work

x = 2

y = -10

-3(2) + 4

-6 + 4 = -2

C. works

x = -1

y = 7

-3(-1) + 4

3 + 4 = 7

D. doesn't work

x = -3

y = 4

-3(-3) + 4

9 + 4 = 13

it's A and C

(4, -8) and (-1,7)

Answer:

Step-by-step explanation:

Let the missing percentage be x%

We can also write that as x/100

According to the question,

[tex]125 \times \frac{x}{100} = 200 \\ 125x = 200 \times 100 \\ 125x = 20000 \\ x = \frac{20000}{125} \\ x = 160[/tex]

Answer:

Include the areas of five faces.

The surface area that will be painted is 376 ft2.

Step-by-step explanation:

Answer:

Include the areas of five faces

The surface area that will be painted is 376 ft2.

2 and 4

Answer:

C

Step-by-step explanation:

first cube :

4 × 3 × 6 = 72 m³

second cube :

4 × 4 × 4 = 64 m³

sum of both cubes :

72 + 64 = 136 m³ ( C )

Answer:

4/15

Step-by-step explanation:

To simplify this question, to make it easier to be solved, we try and make sure that all the fractions have the same denominator. This is done by saying

4/5

2/3

8/15

2/5

From the aforelisted numbers, the highest denominator is 15, and thus, we try to make all the denominators 15

4/5 * 3/3 = 12/15

2/3 * 5/5 = 10/15

8/15 * 1/1 = 8/15

2/5 * 3/3 = 6/15

I multiplied it that way, so that it's decimal value doesn't change, even as it gives us the required fraction.

From the new crop of fractions, we have

12/15

10/15

8/15

6/15

If there's anything, we can tell that the sequence is reducing in a -2/15 rate, and thus, our next sequence has to be 4/15