A farmer is planting a circular garden with a radius of 32 feet and needs to know the area to determine how many plants to purchase.

What is the area of the garden?

Use 3.14 for π.

Enter your answer, as a decimal, in the box.

Answer:

your answer is 12

Step-by-step explanation:

Base 7 Area 42

Using the formula

A= hb over 2

Solving for hb

hb=2A

b=2·42

7=12

hope this is not to confusing but the answer is 12.

The angle RAT which is made with AR and AT line and shown in the figure of protector, measures 30 degrees.

Protector is the most useful device to measure the angle between two lines. To measure the angle between two lines using the protector following steps is followed:

In the given figure, The angle Between AR and AT line is 30 degrees shown in protector.

Thus, the angle RAT which is made with AR and AT line and shown in the figure of protector, measures 30 degrees.

Learn more about the protector here:

https://brainly.com/question/1161640

#SPJ1

Answer:

D

Step-by-step explanation:

6(6.4)^2

=245.76

245.76 rounded = 245.8

Answer:

Option D, [tex]245.8\ units^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area

[tex]A = l * w[/tex]

[tex]A = 6.4\ units * 6.4\ units[/tex]

[tex]A = 40.96\ units^2[/tex]

Step 2:  Determine the surface area

We know that we have 6 sides of equal area that means that we can just use [tex]6 * 40.96\ units^2[/tex]  which gives us [tex]245.76\ units^2[/tex].

Answer: Option D, [tex]245.8\ units^2[/tex]

Answer: 4

Step-by-step explanation: Mode is highest occurring number

Answer:

The empirical rule, also known as the 68 - 95 - 99.7 rule, is a statistical rule that states that in regular distribution, virutally every piece of data will fall within three standard deviations. More specifically, 68% of the data will be within one standard deviation of the mean, 95% will lie in two standard deviations, and 99.7% will be within three standard deviations.

Step-by-step explanation:

Explanation above.

hope this helps :)

Answer:

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

Step-by-step explanation:

Answer:

CB = sqrt  (4a^2 + 6b^2)

Step-by-step explanation:

Using distance formula

d^2  = ( x1-x2)^2   +  (y1-y2)^2

d^2 = (3a - -a)^2    +  (b - -5b )^2

d^2 = (4a)^2      +      (6b)^2        

Answer: [tex]CB = \sqrt{16a^2 + 36b^2}\\\\[/tex]

Work Shown:

[tex]d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\CB = \sqrt{(3a-(-a))^2 + (b-(-5b))^2}\\\\CB = \sqrt{(3a+a)^2 + (b+5b)^2}\\\\CB = \sqrt{(4a)^2 + (6b)^2}\\\\CB = \sqrt{16a^2 + 36b^2}\\\\[/tex]

If that doesn't work, then your teacher may only want the stuff in the green box. So that would be either b-(-5b), or b+5b, or 6b

Answer: 90 students

Step-by-step explanation:

I got this question on my test, and the answer was 90

100% verified! :D

Answer:

x² + 8x + 7

Step-by-step explanation:

A = bh

B = x + 7

H = x + 1

A = (x+7)(x+1)

= x² + x + 7x + 7

= x² + 8x + 7

Circular equations are typically organized like this:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We're given:

Plug the given information into the formula:

[tex](x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-1)^2=(\sqrt{14})^2\\(x+5)^2+(y-1)^2=14[/tex]

[tex](x+5)^2+(y-1)^2=14[/tex]

Answer:

804.2

Step-by-step explanation:

Formula
[tex]\pi r^{2}[/tex]

plug in

[tex]\pi *16^{2}[/tex]

≈ 804.24772

round to nearest tenth

≈ 804.2

Answer:

256/3π

Step-by-step explanation:

Volume of Sphere: [tex]\frac{4}{3}\pi r^3[/tex]

So by subbing into the equation:

[tex]\frac{4}{3} \pi 4^3[/tex] = 4/3π x 64 = 256/3 π

Answer:

x=16 or x=2

Step-by-step explanation:

[tex]x^{2}[/tex]=18x-32

-[tex]x^{2}[/tex]  -[tex]x^{2}[/tex]

[tex]x^{2}[/tex]-(18x-32)=0

[tex]x^{2}[/tex]-18x+32=0

Factorize

x         2

x         16

(x-16)(x-2)

x-16=0

+16    +16

x=16

or

x-2=0

+2   +2

x=2  

Answer:

$ 439.19

Step-by-step explanation:

Volume of a cylinder =   pi r^2 h        r =  .5 ft     h = 20 ft

        V = pi (.5^2)(20)

   multiply V * 27.96 to get  $ 439.19

To build a scale model we must take into account the original measurements of the original house.

A scale model is a tool that allows us to build a structure with a smaller or larger size than the original that we take as a reference.

To build a scale model we must take into account all the measurements of the original object, in this case a house to be able to reduce it adequately to a smaller scale.

For example, if its sides are 30 meters long by 2 meters high and we want to make a scale of half the size, we must make its sides 15 meters long by 1 meter high.

Learn more about scale model in: https://brainly.com/question/19512201

Answer:

16.5 m

Step-by-step explanation:

The triangle shown in the figure is a right triangle, so we can use the Pythagoreas Theorem.

a² + b² = c²

a² + 32² = 36²

a² + 1024 = 1296

a² = 272

a = √272

a = 16.5

Answer: 16.5 m

Answer:

80%

Step-by-step explanation:

We can generalize from a specific example.

Let's assume that the season is 100 games long.

We have played 75% of the season, which is 75 games

We have won 40% of the games that we have played, so we have won 40% of 75 games, which is 30 games.

So, we must have lost 45 games.

To finish the season with as many wins as losses, of the 25 games we have left to play, we will have to win 20 games and lose 5.

To win 20 out of the last 25 games will be 20/25  =  0.80  =  80%

We will see that the real exchange rate is approximately 1.447 markas per U.S. dollar.

Here we need to perform a change of units procedure.

We know that the price of a refrigerator in Bosnia is 1964 markas, while in the US is $1357.

Then we can write the relation:

1964 markas = $1357

Now, we want to find the value in markas for a single dollar, then we divide both sides by 1357 to get:

(1964 markas)/1357 = $1357/1357

1.447 markas = $1

This means that the exchange rate is 1.447 markas per U.S. dollar.

If you want to learn more about changes of units, you can read:

https://brainly.com/question/9032119

Answer:

centre = (2, - 3 ) and radius = 5

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 4x + 6y - 12 = 0 ( add 12 to both sides )

x² + y² - 4x + 6y = 12 ( collect x/ y terms )

x² + 4x + y² + 6y = 12

using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(-2)x + 4 + y² + 2(3)y + 9 = 12 + 4 + 9

(x - 2)² + (y + 3)² = 25 ← in standard form

with (h, k ) = ( 2, - 3 ) and r = [tex]\sqrt{25}[/tex] = 5

Answer:

center of the circle = (2, -3)

radius of the circle = 5

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given equation:

[tex]x^2+y^2-4x+6y-12=0[/tex]

Collect like terms:

[tex]\implies x^2-4x+y^2+6y-12=0[/tex]

Add 12 to both sides:

[tex]\implies x^2-4x+y^2+6y=12[/tex]

Complete the square for both variables.

Add 4 to both sides for x.  Add 9 to both sides for y.

[tex]\implies x^2-4x+4+y^2+6y+9=12+4+9[/tex]

[tex]\implies (x^2-4x+4)+(y^2+6y+9)=12+4+9[/tex]

Factor the two variables:

[tex]\implies (x-2)^2+(y+3)^2=25[/tex]

Therefore:

Circular equations are organized like this:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We're given:

To find the equation of this circle, we must determine two things:

To determine the radius of the circle, find the distance between the given endpoints and divide by 2:

(6, 0) and (-6, 0)

⇒ There are 6 units between (0,0) and (6,0).

⇒ There are 6 units between (0,0) and (-6,0).

⇒ 6 + 6 = 12; the diameter of the circle is 12 units

⇒ 12 / 2 = 6

Therefore, the radius of the circle is 6 units.

To determine the center of the circle, find the midpoint of the given endpoints:

(6, 0) and (-6, 0)

⇒ The midpoint occurs at the very middle of these two points. The distance between the midpoint and (6,0) is equal to the distance between the midpoint and (-6,0).

⇒ We identified earlier that there are 6 units between (0,0) and (6,0), and that there are 6 units between (0,0) and (-6,0).

Therefore, the center of the circle is (0,0).

Plug the center and the radius into the equation:

[tex](x-h)^2+(y-k)^2=r^2\\x^2+y^2=6^2\\x^2+y^2=36[/tex]

[tex]x^2+y^2=36[/tex]

To find the percentage, we must move the decimal place to the right two times. After doing this, 0.66 written as a percentage is 66%.

Answer:

66%

Step-by-step explanation:

All you do is put the decimal places two please to the right or do the number times 100.     .66 times 100= 66%

Answer:

17

Step-by-step explanation:

I took the test

Answer:

x=-2

Step-by-step explanation:

isolate the variable and the numbers

Answer:

-2

Step-by-step explanation:

4+3(x-2)=2x-4

distibute 3 to (x-2)

4+3x-6=2x-4

simplify

3x-2=2x-4

add -4 (becomes +4) to -2

3x+2=2x

subtract 3x

2=-x

divide the negative

-2=x

Answer:

(C)  [tex]\frac{4x^{4} }{y{6}}[/tex]

Step-by-step explanation:

#1

Area of base=1/2(2.8)(4.2)

Volume:

#2

Area of base

Volume:-

Answer:

Volume of a prism = area of base × height

⇒ V = Bh

Question 7

The base of this prism is the triangle.

Area of a triangle = 0.5 × base × height

Given:

Therefore:

[tex]\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 4.2} \cdot \boxed{\sf 2.8}) \cdot 7\\ & = \sf \boxed{\sf 41.16}\:m^3\end{aligned}[/tex]

Question 8

The base of this prism is a regular hexagon.

Area of a hexagon = 0.5 × apothem × perimeter

Given:

Therefore:

[tex]\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 6.1} \cdot 7 \cdot 6) \cdot \boxed{\sf 14}\\ & = \sf 128.1 \cdot \boxed{\sf 14}\\ & = \sf \boxed{\sf1793.4}\:cm^3\end{aligned}[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Circumference of the wheel is :

[tex]\qquad \tt \dashrightarrow \:c = 2 \pi r[/tex]

Number of revolutions = 13, and distance travelled is 65 m.

So, we can infer that :

[tex]\qquad \tt \dashrightarrow \:c = \frac{distance \: covered}{number \: of \: revolutions} [/tex]

Now, equate both the equations ~

[tex]\qquad \tt \dashrightarrow \:2 \pi r = \frac{distance \: covered}{number \: of \: revolutions} [/tex]

[tex]\qquad \tt \dashrightarrow \:2 \pi r = \frac{65}{13} [/tex]

[tex]\qquad \tt \dashrightarrow \:2 \pi r = 5[/tex]

[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{2 \pi} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{3.14 \times 2} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{6.28} [/tex]

[tex]\qquad \tt \dashrightarrow \:r \approx0.8 \: m[/tex]

[tex]\qquad \tt \dashrightarrow \:r \approx80 \: cm[/tex]

[ To the hundredth place : 0.796 m ]

Answer:

35

Step-by-step explanation:

i got it  on khan

Answer: 18

Step-by-step explanation: I got it on the Khan test don't trust the first one. ,,ԾㅂԾ,,

Answer: try the US cellar field

Home plate is 400ft

Field fence height is 8ft

Angel of elevation is 0.85

Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

h=vt-16t²+s

t= -b/2a

t= -2/.4

t=5 seconds

h= -0.2(5)²+2(5)

h= -0.2(25)+10

h= -5+10

h= 5ft

It takes 5 sec. to reach its max height so it will take 5 sec. to hit the ground so 5+5=10 10 sec. total.