Chris wants to create a rectangular rose garden in a yard. He has 48 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.

Answer: sqrt(61)

Step-by-step explanation:

For parts a) and c1), refer to the attached picture.

For part b), the distance formula is:

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

Using x1 = -1, y1 = -4, x2 = -6, y2 = 2:

d = sqrt[(-6 + 1)^2 + (2 + 4)^2] = sqrt[25 + 36] = sqrt(61)

Part c2) Another way to find the length of AB without using the distance formula is by drawing the line and measuring it according to the scale.

Part d) This will only work as long as the graph paper is accurately made, and the scale computation is done correctly. However, this will only give approximations, and will not give an exact answer when radicals are involved.

Answer:

5x - 9 = 3

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Answer:

f = 2 1/4c

Step-by-step explanation:

Number of cups of flour is proportional to the number of cakes

Number of cups of flour = f

Number of cakes = c

Therefore,

f = k * c

Where,

k = constant of proportionality

Number of cups of flour = 22 1/2 cups

Number of cakes = 10 cakes

f = k * c

22 1/2 = k * 10

45/2 = 10k

k = 45/2 ÷ 10

= 45/2 × 1/10

= (45*1) / (2*10)

= 45/20

= 2 5/20

k = 2 1/4

The equation is

f = k * c

f = 2 1/4 * c

f = 2 1/4c

Answer:

D

Step-by-step explanation:

Answer:

58 degrees

Step-by-step explanation:

We know that angles on a straight add up to 180 degrees. Therefore:

To find the angle at the top of the triangle do 180-112 = 68

To find the angle at the right side of the triangle do 180 - 126 = 54

We know that angles in a triangle add up to 180 degrees. Therefore:

To find m do 180 - (54 + 68) = 58

Answer:

43.20

Step-by-step explanation:

I hope this is right !

Answer:  3.2 done

Step-by-step explanation:

Answer:

C≈37.7m

Step-by-step explanation:

C=πd=π·12≈37.69911m

Answer:

$8,881.47

Step-by-step explanation:

Answer: x = -29/4

Step-by-step explanation: Let's solve for x.

4x = -29

4x/4 = -29/4

x = -29/4

Answer:

this answer is -1.8

Step-by-step explanation:

because you add and subtract all of them

Answer:

0.9

Step-by-step explanation:

Basic angle =

[tex]cos { }^{ - 1} ( \frac{4}{5} ) = 36.870 \: degrees \\ [/tex]

Therefore,

[tex]theta = 180 + 36.870 = 216.87 \: degrees[/tex]

Therefore,

[tex] \sin( \frac{theta}{2} ) = \sin(108.435 ) = 0.9[/tex]

Answer:

45.4

Step-by-step explanation:

I will do 4 and 5 only. Also, post one problem at a time.

Question 4

Measure of arc GJ = measure of the central angle, which in this case is 90 degrees. So, the measure of arc GJ = 90°.

Question 5

The measure of diameter HJ = 180 degrees.

We need to find the adjacent angle which I will call angle x.

So, x = 180° - 151° = 29 degrees.

Just like Question 4 above, the measure of 29 degrees is the central angle for arc HI.

As you know, HI = the measure of the central angle. So, the measure of arc HI = 29°.

Try the rest on your own.

As you do the rest, keep in mind that the measure of a circle in terms of degrees is 360 degrees. This will help you do the rest of the questions for circle B.

Answer:

282

Step-by-step explanation:

100⋅x=300⋅94

Cross multiply

100

100x

​

Divide both sides by 100

282

Answer:

4x^4y^8

Step-by-step explanation:

Answer:

5/27

Step-by-step explanation:

P(9) = 2/9

P(not 6) = 5/6

2/9 x 5/6 = 10/54 or 5/27

Answer:

B

Step-by-step explanation:

Answer:

90, 91, 92, 93, 94, 95, 96

Answer:

the answer rounded to the nearest tenth is 37.7 cm.

Step-by-step explanation:

Answer:

Triangle GHI is the right angled triangle.

Step-by-step explanation:

A right angled triangle follows the pythagoras theorem where,

h² = p² + b²

h is the longest side.

So,

15² = 12² + 9²

225 = 144 + 81

225 = 225

Hence this follow the pythagoras theorem and is a right angled triangle.

Answer:

(-1.1)

Step-by-step explanation:

i dont if is right just tring yo help

Answer:

B. 3

Step-by-step explanation:

Let's make an equation for this. Our unknown number is x.

x

We are adding 4.

x + 4

Then multiplying by 5.

(x + 4) • 5

It will equal 35.

(x + 4) • 5 = 35

To solve this, divide both sides by 5.

(x + 4) = 7

Now subtract 4 from both sides.

x = 3

This is your answer.

Check this by plugging it back into our original equation.

(x + 4) • 5 = 35

(3 + 4) • 5 = 35

7 • 5 = 35

35 = 35

Your answer is correct.

Hope this helps!

Answer: The swimmer is 26 ft (approximately) away from the lifeguard

Step-by-step explanation: Please refer you the attached diagram.

The lifeguard sitting on the platform is labeled as point P, and the swimmer down below is at point S. The point G is the point directly beneath the lifeguard. So, we have a right angled triangle PSG. Also the angle of depression is 18 degrees, so the angle of sight between the lifeguard and the ground is 72 degrees (that is, 90 - 18 = 72).

Having derived a right angled triangle with two sides and a reference angle, we can now use the trigonometric ratio which is;

CosP = Adjacent/Hypotenuse

The adjacent is the side that lies between the reference angle and the right angle (side PG), while the hypotenuse is the side facing the right angle (side PS). Hence;

Cos72 = 8/g

By cross multiplication we now have

g = 8/Cos72

g = 8/0.3090

g = 25.8899

Approximately, g = 26 ft.

Answer:

Option B is the correct answer

Step-by-step explanation:

[tex] \frac{ {8}^{3} }{ {8}^{6} } = {8}^{3 - 6} = {8}^{ - 3} \\ [/tex]

Answer:

8^-3

Step-by-step explanation:

Cuz the steps r already listed

so just do 3 - 6 = 8^-3

but since the 3 is a negative switch it to the bottom

1/8^3

1/152

Sophie will be 6 years old. Nichole will be 6+28 = 34

It will take 6 years for that to happen. 

You can find this by setting Nichole's age as x and Sophie's age as x + 28 since she will always be 28 years older. 

Now we are looking for a time that Sophie's age is equal to 2 less than 6 times Nichole's age. So we can set up the below equation. 

6(x) - 2 = x + 28

6x - 2 = x + 28

5x - 2 = 28

5x = 30

x = 6

Answer:

[tex] \frac{0.56}{w - 6} [/tex]

Step-by-step explanation:

1) Simplify 4.8 - 2 to 2.8.

[tex] \frac{2.8}{5(w - 6)} [/tex]

2) Simplify.

[tex] \frac{0.56}{w - 6} [/tex]

Therefor, the answer is 0.56/w-6.

Answer:

3/5

4/3

2/1

3/1

Step-by-step explanation:

turn them to ratios and fractions and try to simplify

3/5=3/5

4/3=4/3

2/1=2/1

6/2=3/1

so put the end results in order

so all of them have a bigger numerator than denominator, except one. 3/5. Thats the slowest one.

4/3 isn't quite 2 wholes, but 2/1 is, so 4/3 is second last and 2/1 is second.

3/1 is the first.

Answer:

15 and 4 1/4 pounds of meat to the female tiger

Step-by-step explanation: