What is the length of the parks boundary to the nearest yard

Answer:

given

area of triangle = 48

height(h)=12

base(b) =‽

now,

area of triangle(a) =1/2 base×height

48=1/2 b×12

48=b×6

b=8

Answer:

m + 7

Step-by-step explanation:

→ Collect like terms

3.8m - 2.8m + 7

→ Simplify

m + 7

Answer:

EASY-

Step-by-step explanation:

Answer:

24 ft^2

Step-by-step explanation:

The srface area consisists of 2 triangles and 3 rectangles.

Surface area = 2 * 1/2 *4 * 3 + 1*4 + 1*5 + 1*3

= 12 + 4 + 5 + 3

=  24 ft^2.

Answer:

Step-by-step explanation:

First a translation then a reflection.

Answer:

7 to 49

Step-by-step explanation:

The patterns here are clear, a number times 7. 7 x 7 is 49 so this could be an equation to submit.

Answer:

k = 7h.

Step-by-step explanation:

Each value of k is 7 times the value of h.

So k = 7h.

Answer:

14/9 hours

Step-by-step explanation: 1/2+1/7=9/14, so 1/(9/14)=14/9

Answer:

5 more feet

Step-by-step explanation:

iff you add 5 more feet to 12 ft., you'll get 17 ft., and you can multiply that by 7 to get 119

The area of the flower bed has a radius of 4 feet is 16π or 50.24 square feet.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A circular flower bed in a botanical garden has a radius of 4 feet.

Then the area of the flower bed will be

Area = π r²

Area = π × 4²

Area = 16π

Area = 16 × 3.14

Area = 50.24 square feet.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

400/500 people do not wear glasses.

Step-by-step explanation:

There are a total of 500 people, 100 of those people wear glasses. 500-100=400. Therefore, 400 people do not wear glasses out of the 500 people.

Answer:

500/500-100/500=400/500

I believe it is

Using the histogram, it is found that about 10% of students took less than 40 minutes to complete the exam.

An histogram is a graph that shows the number of times each element of x was observed.

Researching the problem on the internet, it is found that the histogram states that:

10% of 29 is approximately 3, hence about 10% of students took less than 40 minutes to complete the exam.

More can be learned about histograms at https://brainly.com/question/25836450

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Answer:

1.25w

Step-by-step explanation:

w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here  is how to solve it:

[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]

P.S: I anwsered it here:

https://brainly.com/question/27350649

Answer:

1.25

Step-by-step explanation:

There is an invisible 1 whenever you add x, y, w, whatever. So when you add w + .25w you are really adding 1w + .25w. Because these are like terms, they go together and combined 1+.25 is 1.25. I hope this helps.

How fast the distance between them decrease is 16mph

Given the following parameters

Speed of the hiker = 6mph

If is it 3/11 the rate of a cyclist, then the rate of the cyclist will be:

6 = 3x/11
3x = 66

x = 22mph

Distance between them  = 22 - 6

Distance between them = 16mph

Hence how fast the distance between them decreases is 16mph

Learn more on speed here: https://brainly.com/question/4931057

Answer: 28 mph

Step-by-step explanation:

{f(x) ∈ ℝ | f(x) ≥ 3}  is the range of f(x) = |x| + 3

When graphing the following equation shown below:

Answer:

{f(x) ∈ ℝ | f(x) ≥ 3}

Step-by-step explanation:

The range of a function is the output values (y-values).

Absolute value is the distance of x from zero, so it is never negative.  It is denoted by a bar on either side of the term.

Therefore, as |x| ≥ 0 then |x| +3 ≥ 3

Therefore, the range of the function is {f(x) ∈ ℝ | f(x) ≥ 3}

Answer:

[tex]\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

Let's take a look at the unit circle below.

Remmeber that cos represents the x-value and that sin represents the y-value.

We see that:

[tex]sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}[/tex]

Now we just multiply all the together and we get:

[tex]2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}[/tex]

Answer:

80 gummy bears are in 4 servings.

Step-by-step explanation:

2 servings=40 gummy bears

3 servings=60 gummy bears

40+20=60

Add 20 gummy bears for every serving.

5 servings=100 gummy bears

100-20=80 gummy bears are in 4 servings

OR you can also do:

40÷2=20 gummy bears are in each serving

So, 4x20=80 gummy bears are in 4 servings

The number of days in which the air quality index exceed 100 in the year 1988 is 75 days. Then the correct option is B.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The air quality index (AQI) is given by the function.

[tex]\rm n = 1.76t^2-13.32 +41[/tex]

Where n be the number of days the AQI exceeds 100 in a given year.

For [tex]\rm t = -2[/tex], then we have

[tex]\rm n = 1.76(-2)^2-13.32(-2) +41\\\\n = 7.04+26.64+41\\\\n = 74.68 \approx 75[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

See below ↓↓↓↓

Step-by-step explanation:

a) Area of circle with radius 10 units

b) Circumference of circle with diameter 7 units

c) Diameter of circle with area 121π square units

d) Area of circle with circumference 20π units

Area of circle with radius 10 units is 314 square units,

Circumference of circle with diameter 7 units is 22 square units,

Diameter of circle with area 121π square units is 22 units and

Area of circle with circumference 20π units is 314 square units

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

a) Area of circle with radius 10 units

A = πr²

A = 3.14 x (10)²

A = 3.14 x 100

A = 314 sq. units

b) Circumference of circle with diameter 7 units

C = πd

C = 3.14×7

C = 21.98 units

c) Diameter of circle with area 121π square units

A = πr²

121π = πr²

r = √121 = 11 units

d = 2r = 2 x 11 = 22 units

d) Area of circle with circumference 20π units

C = 2πr

20π = 2πr

r = 10 units

A = πr²

A = 3.14 x (10)²

A = 3.14 x 100

A = 314 square units

Hence, Area of circle with radius 10 units is 314 square units, Circumference of circle with diameter 7 units is 22 square units, Diameter of circle with area 121π square units is 22 units and Area of circle with circumference 20π units is 314 square units

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Answer:

A = 240 units²

Step-by-step explanation:

the area (A) of a regular polygon is

A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )

here p = 8 × 6 = 48 ( an octagon has 8 sides ) and a = 10 , then

A = [tex]\frac{1}{2}[/tex] × 48 × 10 = 24 × 10 = 240 units²

Answer:

Step-by-step explanation:

Preliminary task

Draw a regular octagon.

Draw a perpendicular from the side's midpoint to the center. (That is the  apothem).

Draw two radii from the center of the side to the center of of the octagon. The endpoints of these two radii is the endpoints of the octagon's side.

The octagon has 8 such triangles.

Area one triangle

Area = 1/2 * side *  apothem

side = 6

apothem = 10

Area = 1/2 6 * 10

Area = 30

Area of 8 such triangles.

Area = 8 * area of 1 triangle

area 1 triangle = 30

Area of 8 such triangles = 30*8 = 240

Answer 240

Answer:

50

Step-by-step explanation:

The mean splits a data set into 50-50

So the answer is 50

Answer:

4^4 + 4^4 + 4^4 + 4^4=20

4^3 + 4^3=128

I can't get the real answer

but what can

Answer:

3 laps per day

Step-by-step explanation:

Divide 45 laps by 5 days to get how many laps they ran per day

45/5 = 9 laps per day

The tennis players run 6 less laps per day than the soccer players so subtract 6 laps from 9 laps to get their daily laps

6-9 = 3 laps per day

Answer:

107⁰

Step-by-step explanation:

The m<g =107⁰

I hope it helped you

The measure of the angle ∠PGL will be equal to 107 degrees.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

In triangles ΔPGL and ΔNHE,

PG  = NH (given)

GL = HE (given)

If the angle ∠PGL and ∠NHE become congruent, the triangle ΔPGL and ΔNHE will be congruent to each other.

∠PGL = ∠NHE

∠PGL = 107°

The measure of the angle ∠PGL will be equal to 107 degrees.

More about the triangle link is given below.

https://brainly.com/question/25813512

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Answer: -8

Step-by-step explanation:

Answer:

The numbers are

5

and

8

Step-by-step explanation:

We know:

m

−

n

=

3

And we know:

m

+

n

=

13

Next, solve the first equation for

m

:

m

−

n

+

n

=

3

+

n

m

−

0

=

3

+

n

m

=

3

+

n

Then, substitute

3

+

n

for

m

in the second equation and solve for

n

:

m

+

n

=

13

becomes:

(

3

+

n

)

+

n

=

13

3

+

2

n

=

13

−

3

+

3

+

2

n

=

−

3

+

13

0

+

2

n

=

10

2

n

=

10

2

n

2

=

10

2

2

n

2

=

5

n

=

5

Now, substitute

5

for

n

in the solution to the first equation and calculate

m

:

m

=

3

+

n

becomes:

m

=

3

+

5

m

=

8

The solution is:

n

=

5

and

m

=

8

[tex]\text{Let the two numbers be x and y}\\\\x+y=3~~~.....(i)\\\\x-y=13~~~.....(ii)\\\\\text{(i)+(ii):}\\\\x+y+x-y = 3+13\\\\\implies 2x = 16 \\\\\implies x = \dfrac{16}2 = 8\\\\\text{(ii)-(i):}\\\\x-y-x-y=13-3\\\\\implies -2y=10\\\\\implies y= -5\\\\\text{Hence the numbers are }~8~\text{and}~ -5[/tex]

The maximum possible area is 36 square units.

Answer:

36sq Units at max? i think

Step-by-step explanation:

Have a good day!

#ViolentJax~

Answer:

1/6

Step-by-step explanation:

Answer:

208 m²

Step-by-step explanation:

[tex]16 \: m\times 13 \: m = 208 \: {m}^{2} [/tex]

Answer:

20 containers

Step-by-step explanation:

5L =  5000ml

so,

5000/250 = 20 containers

I hope my answer helps you.

fill 5L tank using 250 ml container .

how many full containers are required to fill the tank.

1 L= 1000 mL

1000 mL/250mL = 4

1 L= 4 full containers

4 containers x 5 liters = 20 full containers.

so, 20 full containers are required to fill the fish tank.

There are two different ways to find surface area of square pyramid

1st

[tex]\sf surface \ area \ = \ a^2 + 2(a)(l)[/tex]

2nd

[tex]\sf surface \ area = a^2+2a\sqrt{\dfrac{a^2}{4}+h^2 }[/tex]

Answer:

sample response

Step-by-step explanation: :)

You would first calculate the area of the base, which is length times width. You would then calculate the area of the faces, which is 1 2 (base times height) and multiply the result by 4 for the 4 faces. Finally, add the area of the base and the areas of the faces.