The diagram shows a plan for fencing off a section of a public park to make a dog park. A wall that separates the park from a highway will form one side of the dog park. The other 3 sides, shown as dotted lines, will be fenced. How much fencing is needed to make the dog park?

Step-by-step explanation:

Using trignometry, we have cosθ = Adjacent / Hypotenuse = 3/5.

Hence θ = cos-1(3/5) = 53.1° (A).

Answer:

C.

Step-by-step explanation:

Negative exponents on the top is equivalent to them being positive in the bottom.

Answer:

5.5 cm/minute

Step-by-step explanation:

Given that,

The yellow turtle country covered 33 cm in six minutes.

To find unit rate, divide distance covered by the time.

Here, distance = 33 cm

Time, t = 6 minutes

[tex]R=\dfrac{33\ \text{cm}}{6\ \text{minutes}}\\\\=5.5\ \text{cm/minutes}[/tex]

Hence, the unit rate is 5.5 cm/minute. It means, Courtney covered 5.5 cm in one minute.

Answer:

Lower Limit = 2m-L

Step-by-step explanation:

Given that,

The mid value of class = m

Upper limit in the frequency table = L

We need to find the lower limit of the class.

The mid value of a class is given by :

[tex]\text{mid-value}=\dfrac{\text{lower limit + upper limit}}{2}\\\\m=\dfrac{L+\text{lower limit}}{2}\\\\2m=L+\text{lower limit}\\\\\text{lower limit}=2m-L[/tex]

Hence, the lower limit of the class is 2m-L.

Answer:

m = 2/3

b = -1

y = 2/3x - 1

Step-by-step explanation:

Answer:

y=2/3x-1

Step-by-step explanation:

Answer:

∠ 1 = 70°, ∠ 2 = 140

Step-by-step explanation:

110° and the adjacent angle inside the triangle are supplementary, then

angle = 180° - 110° = 70°

Since 2 sides of the triangle are congruent, then the triangle is isosceles

Thus the 2 base angles are congruent, then

∠ 1 = 70°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 2 is an exterior angle of the triangle, thus

∠ 2 = 70° + 70° = 140°

Given :

The diagonals of rhombus ABCD intersect at E.

∠CAD = 20°.

To Find :

The angle ∠CDA.

Solution :

We know, diagonals of a rhombus bisects each other perpendicularly.

So, ∠DEA = 90°.

In triangle ΔEAD :

∠EAD + ∠AED + ∠EDA = 180°

20° + 90° + ∠EDA = 180°

∠EDA = 70°

Now, we know diagonal of rhombus also bisect the angle between two sides .

So, ∠CDA = 2∠EDA

∠CDA = 2×70°

∠CDA =140°

Therefore, ∠CDA is 140°.

Answer:

Step-by-step explanation:

Given the elevation h (in feet) of the balloon modeled by the function h(x)=−6x+330, we can calculate the time it takes the balloon to reach the ground. The hot air balloon hits the ground at h(x) = 0.

Substitute h(x) = 0 into the modeled expression and find x as shown;

h(x)=−6x+330

0 = −6x+330

6x = 330

Divide both sides by 6

6x/6 = 330/6

x = 55 seconds

Hence the hot air balloon hits the ground after 55 seconds

Answer:

y=3x or x=y/3

Step-by-step explanation:

81, y divided by 3 is equal to 27.

5Step-by-step explanation:

Answer:

1 hotdog cost $2.25

1 popcorn cost $3.5

Step-by-step explanation:

Let the price of hotdog be and that of popcorn be p

For the first hour;

15p + 14h = 84 •••• (i)

for the second hour;

18p + 16h = 99 •••••(ii)

so we want to solve these two equations simultaneously

In equation 1,

14h = 84-15p

h = (84-15p)/14

Simply insert this into equation ii

18p + 16(84-15p)/14 = 99

Multiply through by 14

252p + 1344 - 240p = 1386

1386-1344 = 252p-240p

12p = 42

p = 42/12

p = $3.5

to get cost of hotdogs;

h = (84-15p)/14

Substitute p = 3.5

h = (84-52.5)/14

h = 31.5/14

h = 2.25

10 feet = 120 inches

120 divided by 8 = 15

you can have 15 shelves in the room

Answer:

104

Step-by-step explanation:

8(rt 13)(rt 13)

8(13)

104

Answer:

A

Step-by-step explanation:

thats my best guess, but im not positive sorry if im wrong!

Answer:

Part 1:    7/3 degrees/hour

Part 2:    28/3 degrees

Step-by-step explanation:

Part 1:

3 1/2 degrees per 1 1/2 hours =

= (3 1/2)/(1 1/2)

= (7/2) / (3/2)

= 7/2 * 2/3

= 7/3 degrees/hour

The rate is 7/3 degree per hour

Part 2:

In 4 hours, the temperature goes up 4 times what it goes up in 1 hour.

4 hours * 7/3 degree/hour = 28/3 degrees

Answer: 60%

Step-by-step explanation:

if the coat is 25 dollars, 10% of the coat is 2.50

15 dollars /2.5=6

you saved 60 percent

Answer:

x=7 y=-2

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

Answer:

2 B l x Pattinson f s rıhtım dese rüyamın merhaba canım 53 nasılsın nasılsın bir yöntem

Answer:

45

Step-by-step explanation:

its hard o type but trust me

Answer:

45

Pencils: 18

Pens: 27

Step-by-step explanation:

for every 2 pens there is 3 pencils

to have 18 pens ou multiply by 9

what you do to one you do to the other so just multiply the pencil by 9 so,

9 x 3 = 27

there is 18 pens and 27 pecils

PENS AND PENCILS:

18 + 27 = 45

Answer:

With the amount of fuel she has, she can drive 120 km which will take 2 hours.

Step-by-step explanation:

You need to figure out which information is necessary for this problem and which is not.

The fuel tank has 20 L.

The car drives 6 km per L.

20 L * 6 km/L = 120 km

She can drive 120 km with the amount of fuel she has.

She is driving at 60 km/h.

speed = distance/time

time * speed = distance

time = distance/speed

time = (120 km)/(60 km/h) = 2 hours

Answer: With the amount of fuel she has, she can drive 120 km which will take 2 hours.

Answer:

Number of 3 point goals = 85

Number of 2 point goals = 3(85) - 62 = 193

Number of free throws = 3(85)- 32 = 223

Step-by-step explanation:

Given that :

2 point goals

Number of 3 point goals = x

Number of 2 point goals = 3x - 62

Number of free throws = 3x - 62 - 30 = 3x - 32

3x + 2(3x - 62)+ 3x - 32= 864.

3x + 6x - 124 + 3x - 32 = 864

12x = 864+ 124 + 32

12x =1020

x = 1020 / 12

x = 85

Number of 3 point goals = 85

Number of 2 point goals = 3(85) - 62 = 193

Number of free throws = 3(85)- 32 = 223

Answer:

1/2 minute

Step-by-step explanation:

We can use a ratio to solve

1/3 bottle     1 bottle

------------   = --------------

1/6 minute    x minutes

Using cross products

1/3x = 1/6 *1

1/3 x = 1/6

Multiply each side by 3

3 * 1/3x = 3 * 1/6

x = 3/6

x = 1/2

1/2 minute

Answer:

30 seconds (1/2 minute)

Step-by-step explanation:

We are given that,

Amount of water filled in 1/6 minute = 1/3

Now, Let the time taken to fill the whole bottle with water be x

Hence,

Through the ratio method we get,

1/3:1/6 : : 1:x

Hence, we need to multiply the extremes and the means together and equalize them.

Hence,

x/3=1/6

x=(1/6)×3

x=(1/2) minute or 30 seconds

Answer:

[tex]8x-5+2x\dfrac{x}{y}[/tex] = [tex]\dfrac{8xy-5y+2x^2}{y}[/tex]

Step-by-step explanation:

In this question, we need to simplify [tex]8x-5+2x\dfrac{x}{y}[/tex]

We can convert elements to fractions.

[tex]8x=\dfrac{8xy}{y},\:5=\dfrac{5y}{y}[/tex]

= [tex]\dfrac{8xy}{y}-\dfrac{5y}{y}+\dfrac{2x^2}{y}[/tex]

As the denominators are equal, we can combine the fractions as follows :

=[tex]\dfrac{8xy-5y+2x^2}{y}[/tex]

Hence, the simplified form is : [tex]8x-5+2x\dfrac{x}{y}[/tex] = [tex]\dfrac{8xy-5y+2x^2}{y}[/tex]

Answer:

1. -4

2. 10

3. -19

4. 5

Step-by-step explanation:

1. 5 + -9= -4

2. -3 + 13 = 10

3. -8 + 11 = -19

4. 6 + -1 = 5

Answer:

1.70$

Step-by-step explanation:

$4.15-$2.45

=1.70$

Answer:

$1.70

Step-by-step explanation:

If you subtract the price of one pack of candy canes from how much money he has you get $1.70

(hope this helps)

Answer:

Rs 16000

Step-by-step explanation:

Given that :

Price at which typewriter was sold = Rs 13718

Compound Depreciation rate = 5%

Time = 3 years

Amount paid for typewriter 3 years ago

Using the relation :

Final amount = Initial amount(1 - r/n)^nt

n = number of compounding times per period

Rate = r = 5% = 0.05

t = time

A = Final amount = 13718

Initial amount = original purchase price (p)

Therefore ;

13718 = p(1 - 0.05)^3

13718 = p(0.95)^3

13718 = p * 0.857375

13718 = 0.857375p

p = 13718 / 0.857375

P = Rs 16000

Amount paid at the time of purchase = 16000