Jamal and Cleo mow lawns together, Jamal can mow an average lawn in 60 minutes by
himself. Cleo would take 90 minutes for the same job. How long would it take both of
them together to mow one (1) lawn

Answer:

Circumference = 2 x 3.14 x radius = 27 (in)

=> radius = 27/(2 x 3.14) = 4.3 (in)

=> Area = 3.14 x radius^2 = 3.14 x 4.3^2 = 58.1 (in2)

Answer:

58 inches^2

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi *radius^{2}[/tex]

To work out the area of this circle you would first need to divide the circumference of 27 by pi, this gives you 8.594. This is because the formula for the circumference is: [tex]\pi *diameter\\[/tex] and so by dividing the circumference by pi we are isolating the value of the diameter.

Then now that we have worked out the diameter we can now begin to work out the area, however in order to work out the area we must work out the radius. You can do this by dividing the diameter by 2, which gives you 4.297.

Then to work out the area you would multiply pi by the radius of 4.297 squared, this gives you 58.01 [tex]inches^{2}[/tex].

The next step is to round it to the nearest whole number, this gives you 58.

1) Divide 27 by pi.

[tex]27/\pi =8.594[/tex]

2) Divide 8.594 by 2.

[tex]8.594/2=4.297[/tex]

3) Multiply pi by 4.297 squared.

[tex]\pi *4.297^{2} =58.01[/tex]

4) Round to the nearest whole number.

58 square inches

Answer: 7/24

Step-by-step explanation: Think of the 2 as 2/1.

When dividing by a fraction, we can simply change, we can simply change the multiplication sig to division and take the reciprocal of the second fraction or flip the second fraction.

So our problem can be rewritten as [tex](\frac{7}{12})[/tex] [tex]x[/tex] [tex](\frac{1}{2})[/tex].

Now multiplying across the top and bottom we get 7/24.

Answer:

7/24

Step-by-step explanation:

the guy was right! (also khan said so)

Answer: 3 feet by 10 feet rectangle

===========================================================

Explanation:

Assuming this garden is a rectangle, it has dimensions L and W which are the length and width respectively.

perimeter of rectangle = 2*(length+width)

P = 2*(L+W)

26 = 2(L+W) ... plug in given perimeter

26/2 = L+W .... divide both sides by 2

13 = L+W

13-W = L  .... isolate L by subtracting W from both sides

L = 13-W

------

Area of rectangle = Length*Width

A = L*W

A = (13-W)W .... replace L with 13-W

A = W(13-W)

A = 13W - W^2 ..... distribution

30 = 13W - W^2 .... plug in given area A = 30

W^2 - 13W + 30 = 0 ... get everything to one side

(W - 10)(W - 3) = 0 ...... factor

W-10 = 0 or W-3 = 0 ...... zero product property

W = 10 or W = 3

----------

If the width is W = 10, then

L = 13-W

L = 13-10

L = 3 is the length

Or if the width is W = 3, then

L = 13-W

L = 13-3

L = 10 is the length

Either way, this is a 3 ft by 10 ft rectangle

--------

Check:

Area = length*width = 10*3 = 30 square feet

perimeter = 2(length+width) = 2*(10+3) = 2*13 = 26 feet

or you could say

perimeter = L+W+L+W = 10+3+10+3 = 13+13 = 26 feet

we get the correct area and perimeter, so this confirms our answer.

Answer:

The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]

Step-by-step explanation:

I am going to assume you meant to write

[tex](x-3)^2+(y-1)^2 = 8[/tex]

Since if both variables were x it would not be a circle:

Then you can find the center and radius using the general formula of a circle:

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

where the center is at (h,k) and r is the radius

Therefore:

The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]

Answer:

The answer is 541.8 cm³

Step-by-step explanation:

you just have to multiply the measures of each side:

(8.8)(4.7)(13.1) = 541.8

Answer:

the answer and explanation is in the picture

please like and Mark as brainliest

hope this helps

Answer:

about 904.78

Step-by-step explanation:

πr^2h pi(6)^2 * 8

Answer:

[tex]y = 18 \: \: degrees[/tex]( vertically opposite angles)

[tex]x = 64 \: \: degrees[/tex]

[tex]y + z + x = 180 \\ 18 + z + 64 = 180 \\ 82 + z = 180 \\ z = 180 - 82 \\ z = 98 \: \: degrees[/tex]

Answer:

a

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

GCF=4

Step-by-step explanation:

It's 4

24/4=6

40/4=10

60/4=15

You can't go any higher because there is no GCF of 6, 10, and 15.

I hope this helps you

Answer:

To begin to answer your question you would need to know that the formula for the volume of a rectangular prism is the following: [tex]V=lwh[/tex]. Now its just a manner of substitutions.

Step-by-step explanation:

[tex]V=605 \text{in}^3[/tex]

Then one can also state the following:

[tex]V=(x+2)(4x-1)(2x+5)[/tex]

Following up with this substitution:

[tex]605=(x+2)(4x-1)(2x+5)[/tex]

Proceeding with a FOIL procedure:

[tex]605=(4x^2+8x-x-2)(2x+5)[/tex]

[tex]605=8x^{3}+34x^{2}+31x-10[/tex]

[tex]0=8x^{3}+34x^{2}+31x-615[/tex]

Using PRZs:

[tex]PRZs=\frac{\text{Factors of Constant Term}}{\text{Factors of Highest Power}}=\frac{\pm 1,\pm 3, \pm 5, \pm 41, \pm 615}{\pm 1, \pm 2, \pm 4, \pm 8}[/tex]

By graphing it one can identify that 3 is a solution so plugging it in and using synthetic division.

[tex]\begin{array}{ccccc}3|& 8 & 34 & 31 & -615\\ \ \ |& & 24 & 174 & 615 \\ & 8 & 58 & 205 &0 \end{array}\\[/tex]

Giving the following the polynomial:

[tex]0=(x-3)(8x^2+58x+205)[/tex]

Now one can evaluate the discriminant of that quadratic:

[tex]58^2-4(8)(205)=-3196[/tex]

Because it is negative one knows that it produces imaginary solutions. Therefore the only real solution is [tex]x=3[/tex]. Therefore the dimension of the box is the following: [tex]5\text{in},11\text{in}, 11\text{in}[/tex]

b is two fifths of c, so we make this a ratio with c = 1.

The ratio of b:c is 2/5 : 1

We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,

so we get the ratio of a to c as 3/4 : 1

Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:

3 : 8/5 : 4

Now multiply the 3 numbers by 5 to remove the denominator  of 5 in b:

15 : 8 : 20

Now we can check using the equations:

b is 2/5 of c:  20 x 2/5 = 40/5 = 8 This is true.

4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.

The ratios is 15 : 8: 20

Answer:

D) as x approaches neg. infinity, y approaches neg. infinity

Step-by-step explanation:

This is because you get to negative x infinity which is towards the right, you see that the y value is going down sharply as well towards the direction of negative infinity in y direction (x direction is right to left and y direction is up and down)

Answer:

D one Edge 2021 ;))

Step-by-step explanation:

Answer:

i really dont know

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The slope (rate of change) are 2/5 or .4 for both of them

30x and 12 have a common factor of 6.   So yes, this might have been the result of distributing the 6 in

6(5x - 2)

Answer:

30x - 12 = 2(15x - 6)

30x - 12 = 3(10x - 4)

30x - 12 = 6(5x - 2)

Step-by-step explanation:

30 and 12 have these factors in common: 2, 3, 6

There are three possible answers.

30x - 12 = 2(15x - 6)

30x - 12 = 3(10x - 4)

30x - 12 = 6(5x - 2)

Answer:

D

Step-by-step explanation:

The name for the angle shown is  ∠D and ∠CDE.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

An angle is formed when two straight lines or rays meet at a common endpoint.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Angles formed by two rays lie in the plane that contains the rays.

Angles are also formed by the intersection of two planes.

The name of the angle are ∠D and ∠CDE.

Hence, the name for the angle shown is  ∠D and ∠CDE.

To learn more on Coordinate Geometry click:

https://brainly.com/question/28182497

#SPJ2

Answer:

[tex]y=1,\:y=-1[/tex]

Step-by-step explanation:

[tex]y^2+14=3y^2\cdot \:5\\\y^2+14-14=3y^2\cdot \:5-14\\y^2=15y^2-14\\y^2-15y^2=15y^2-14-15y^2\\-14y^2=-14\\\frac{-14y^2}{-14}=\frac{-14}{-14}\\y^2=1\\\\y=\sqrt{1},\:y=-\sqrt{1}\\y=1,\:y=-1[/tex]

Answer:

y = ± 1

Step-by-step explanation:

Given

y² + 14 = 3y² × 5, that is

y² + 14 = 15y² ( subtract y² from both sides )

14 = 14y² ( divide both sides by 14 )

1 = y² ( take the square root of both sides )

± [tex]\sqrt{1}[/tex] = y , that is

y = ± 1

Thus y = - 1 or y = 1

Answer:

73°

Step-by-step explanation:

the measure of two complementary angles add up to 90

so We need to solve this equation to get the measure of its complementary angle :

x + 17 = 90

then

x = 90 - 17

  = 73

Answer:

[tex]x2 - 12 = 37[/tex]

Step-by-step explanation:

Add 12 to both sides:

[tex]x2 - 12 + 12 = 37 + 12[/tex]

Simpilfy:

[tex]x2 = 49[/tex]

Simplify:

[tex]2x^{2} = 49[/tex]

Simplify:

[tex]\frac{2x^{2} }{2} = \frac{49}{2}[/tex]

[tex]x^{2} = \frac{49}{2}[/tex]

For x^2 = f(a) the solutions are x = [tex]\sqrt{f(a)} , - \sqrt{f(a)}[/tex]

x = [tex]\sqrt{\frac{49}{2} } , x = -\sqrt{\frac{49}{2} }[/tex]

-[tex]\sqrt{\frac{49}{2} } = -\frac{7\sqrt{2} }{2}[/tex]

x = [tex]\frac{7\sqrt{2} }{2} , x = -\frac{7\sqrt{2} }{2}[/tex]

Hope I helped, may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

[tex]x = 7 \\ x = - 7[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 12 = 37 \\ {x}^{2} = 37 + 12 \\ {x}^{2} = 49 \\ x = \sqrt{49} \\ x = 7 \\ x = - 7[/tex]

Answer:

31

Step-by-step explanation:

The formula to calculate the area of a trapezoid is as follow:

4 * (8 + 16) * 1/2

Answer:

trapezoid area :(a+b)/2 ×h

(16+ 8)/2 ×4

=48

Answer:

1. Option A is correct (A = length x width)

2. Option B is correct ( A = base x height/2)

Hope this helps

:)

Answer:

undefined

Step-by-step explanation:

We can find the slope of a line using two points by

m = (y2-y1)/(x2-x1)

   = (-9- -4)/(-4 -  -4)

    = (-9+4)/(-4+4)

   = -5/0

When we divide by zero, our solutions is undefined

The slope is undefined

Answer:

Gross pay per week = $234

Federal income tax = $421.2

Social security = $174.96

Medicare =$40.71

net pay per week = $181

Total gross pay = $2,808

Total net pay = $2172

Step-by-step explanation:

Hi, to answer this question, first, we have to calculate Angela gross income per week:

18 hours per week x $13 per hour = $234 per week (gross)

234 x 12 =2,808

Amount taken ; multiply weekly gross pay by each percentage discount in decimal form (divided by 100)

Federal income tax = 234 x (15/100) = $35.1  (in 12 weeks = 35.1 x 12 = $421.2)

Social security = 234 x (6.2/100)= $14.508 (in 12 weeks = 14.5 x 12 = $174.96)

Medicare = 234 x (1.45/100)=$3.393  (in 12 weeks = 3.39x 12 = $40.71)

Total amount taken (per week)= 35.1+14.508+3.393=$53.001

Net pay per week = 234-53 = $181

For the total gross pay we have to multiply the weekly gross pay by the number of weeks (12)

Total gross pay = 234 x 12 =$2,808

Total net pay = 181 x 12 = 181 per week x 12 = $2172

Answer:

[tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Step-by-step explanation:

Vertical stretch or shrink

[tex]y=c \cdot f(x)[/tex]

a stretch by a factor of c if  c>1

a shrink by a factor of c if c<1

c is the factor

We are given that factor = 1/6 <1

So, Vertical shrink

So, [tex]y = \frac{1}{6} \cdot f(x)[/tex]

We are given that [tex]f(x) = (x + 1)^2[/tex]

So,[tex]y=\frac{1}{6}(x+1)^2[/tex]

Option D is true

Hence [tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Answer:

ƒ(x) = (1∕6x + 1)^2

Step-by-step explanation:

Answer:

When you divide by 10^3, the decimal point moves three places to the right. When you multiply by 0.001, the decimal point moves three places to the right. So, both equal .0777

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Convert degrees into radians

[tex]\frac{degrees}{1}*\frac{\pi }{180}[/tex]

[tex]\frac{52}{1}*\frac{\pi}{180}[/tex]

[tex]\frac{52\pi}{180}[/tex]

[tex]\frac{13\pi}{45}[/tex]

Step 2:  Find the arc length

[tex]S = r\theta[/tex]

[tex]S=(3)(\frac{13\pi}{45})[/tex]

[tex]S = \frac{39\pi}{45}[/tex]

[tex]S=\frac{13\pi}{15}[/tex]

Answer: Option B

Answer: The volume is 480 in^3

Step-by-step explanation:

v= lwh

v= 12 * 5 * 8

v= 480 in^3

Answer:

Volume of the rectangular prism = [tex]480in.^{3}[/tex]

Step-by-step explanation:

Formula for the volume of a rectangular prism= Ah, where A= base area

                                                                                               & h= height

Base area(A)= Length×Width

                    = 12in.×8in.

                    = [tex]96in.^{2}[/tex]

Since height=5in.,

Volume= [tex]96in.^{2}[/tex]×5in.

            = [tex]480in.^{3}[/tex]

Hope this helps!!!

Pls mark as brainliest

Answer:

Step-by-step explanation:

3/4 * 2 = 1 1/2

The factory made two batches of granola bars.

Answer:

192

Step-by-step explanation:

Add 8 started from 2 and keep going till you hit 192.

Answer:

a1 = 2      d = 8

n = 13

an = a1 + d(n-1)

a(13) = 2 + 8(13-1)

2 + 8(12)

2 + 96 = 98

Step-by-step explanation:

1. identify the terms

2. write down the arithmetic sequence formula and then replace the letters with their values.

3. do parenthesis first, then multiply by d.

4. add them together to get the 13th term