Three of the sides will require fencing and the fourth wall already exists.

If the farmer has 180 feet of fencing, what are the dimensions of the region with the largest area?

Answer:

False

Integers are whole numbers, therefore they are not irrational, True

False

False

Hope this helps!

Answer:

Answer attached

Step-by-step explanation:

1. False, all whole numbers are integers.

2. All integers are rational numbers.

3. False, all whole numbers are rational number.

4. False, not all integers are whole numbers.

Answer:

angle DEG=47+30(sum of two interior opposite angle is equal to the exterior angle formed)

DEG=77 degree

DEF+47+30=180(being sum of interior angle of a triangle)

DEF+77=180

DEF=180-77

DEF=103 degree

measure of each angle is 60 degree

Step-by-step explanation:

Answer:

9. 103

10. 77

11. 60

Step-by-step explanation:

remember a triangle and supplementary angles equal 180 degrees

Answer:

[tex]S = \{1,2,3,4,5,6\}[/tex]

Step-by-step explanation:

Given

Roll of a single die

Required

The sample space

On a single die, we have the following numbers: [tex]1,2,3,4,5,6[/tex]

Each of these numbers represent possible outcomes.

So, the sample space is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

Answer:

Equilateral

Step-by-step explanation:

The three little lines represent that all sides are equal which is an equilateral triangle

Answer:

x = C - By over A

Step-by-step explanation:

To solve for x, we need to isolate the variable.

Ax + By = C

Focusing on the left side of the equation (this is to isolate x), we can see that By is the farthest from x, and that it's adding. So we subtract from both sides. The -By would cancel out +By, which would leave us with.

Ax = C - By

Here we see that A is multiplying x, opposite of multiplication is division, so we divide both sides by A, which would give us:

x = C - By over A

Step-by-step explanation:

the area of shaded region =

the area of square - the area of 1 circle

= (12×12) - (3.14 × 6²)

= 144 - 113.04

= 30.96 => 31 sq. unit

Answer:

B

Step-by-step explanation:

We can write

[tex]4=\sqrt{\frac{3v}{3.14*8}}\\4^2=\frac{3v}{25.12}\\16*25.12=3v\\401.92=3v\\133.9733333333333=v[/tex]

Answer:

5 / 12

11 / 36

Step-by-step explanation:

The sample space for 2 dice = 6² = 36

Number of outcomes where sum is less than 7 = 15

Probability = required outcome / Total possible outcomes

P(obtaining a sum less Than 7) = 15 / 36 = 5/12

Number of outcomes where Sum of individual outcome is less than 20 = 11

P(sum of individual outcome less than 20) = 11/ 36

Answer:

is it only my or is the picture like static

Step-by-step explanation:

Answer:

2450

Step-by-step explanation:

You have the size of one of the playgrounds area's, but remember, there are 2. So double your answer.

Answer:

m<SQP=124°

Step-by-step explanation:

Hi there!

We're given ΔQRS, the measure of <R (90°), and the measure of <S (34°)

we need to find m<SQP (given as x+72°)

exterior angle theorem is a theorem that states that an exterior angle (an angle on the OUTSIDE of a shape) is equal to the sum of the two remote interior angles (the angle OUTSIDE of a shape will be equal to the sum of 2 angles that are OPPOSITE to that angle).

that means that m<SQP=m<R+m<S (Exterior angle theorem)

substitute the known values into the equation

x+72°=90°+34° (substitution)

combine like terms on both sides

x+72°=124° (algebra)

subtract 72 from both sides

x=52° (algebra)

however, that's just the value of x. Because m<SQP is x+72°, add 52 and 72 together to get the value of m<SQP

m<SQP=x+72°=52°+72°=124° (substitution, algebra)

Hope this helps!

Answer:

0.25

Step-by-step explanation:

5 divided by 20 is what you need to do to get that

Answer:

LB=7701 3

degrees

Answer:

26, 40  and 6 is not a possible triangle

Step-by-step explanation:

X = 30°

The triangle in the circle as one angle of the main triangle and it is equilateral indicated by the slashes meaning all angles are 60°. (Every triangle has a total of 180°) the next angle is made from a tangential line the forms a 90° right angle with one of the radii in the circle meaning the main triangle has 1 angle of 60°, 1 angle of 90°, and that means that angle X is 30°.

Answer:

triangle ABD is a equilateral triangle.

so each angle is 60°

<ADB=60°

<BAD=60°

again

we have

CD is perpendicular to AD[tangent on the arc is perpendicular to the radius]

:. ADC=90°

°

again

In triangle ADC

<A+<B+<C=180°[sum of a interior angle of a traingle is 180°]

60°+90°+x=180°

x=180°-150°

x=30°

is a right answer.

Answer:

y = 1/3x - 4

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify

Slope m = 1/3

y-intercept b = -4

Step 2: Write Equation

Substitute variables into general form

y = 1/3x - 4

Answer:

Maximum Profit = 13050

when

The Toy company sells Jordan Size hoops = 7

The Toy company sells Shaq Size hoops = 3

Step-by-step explanation:

Given - The Toy Company sells two types of kids' basketball hoops, Jordan size and Shaq size.  A neighborhood needs no more than 10 Jordan sizes and Shaq sizes all together. The  Company requires the neighborhood to order at least 2 Jordan sizes and at least 3  Shaq sizes. The Toy Company makes a profit of $1,350 on the Jordan size and $1,200  on the Shaq size.

To find - What is the maximum profit they can make given the constraints  above?

Proof -

Let us assume that,

The Toy company sells Jordan Size hoops = x

The Toy company sells Shaq Size hoops = y

Now,

Given that,  A neighborhood needs no more than 10 Jordan sizes and Shaq sizes all together.

⇒x + y ≤ 10

Now,

Given that,  The  Company requires the neighborhood to order at least 2 Jordan sizes and at least 3  Shaq sizes.

⇒ x ≥ 2

   y ≥ 3

Now,

Given that,

The Toy Company makes a profit of $1,350 on the Jordan size and $1,200  on the Shaq size.

So,

The objective function becomes

Z = 1350x + 1200 y

So,

The Linear Programming Problem (LPP) becomes

Maximize Z = 1350x + 1200 y

Subject to

x + y ≤ 10

x ≥ 2

y ≥ 3

x, y ≥ 0

We will Solve the LPP by Graphical method.

The graph is as follows :

The points on the Boundary are -

A(2, 8)

B(2, 3)

C(7, 3)

So,

Points (x,y) Objective function value  ( Z = 1350x + 1200y)

B(2,3)            1350(2) + 1200(3) = 6300

C(7,3)           1350(7) + 1200(3) = 13050

A(2,8)                 1350(2) + 1200(8) = 12300

So,

Maximum value = 13050 at point C(7,3)

∴ we get

Maximum Profit = 13050

when

The Toy company sells Jordan Size hoops = x = 7

The Toy company sells Shaq Size hoops = y = 3

Answer:  $18.19.

You'll have to set this up as two separate problems. First, we want to take 15% off the original $20 bill. To do this, you're going to multiply 20 by .15, which gives you $3. So, 15% off $20 is $17.

Now, we want to find 7% of the new bill, so we're going to multiply 17 by .07 to get $1.19, and add it to the $17, making the final bill $18.19. You could also multiply $17 by 1.07 to get your final total without the extra step in the middle, but only do that once you're comfortable with the math.

Answer: 19.2inches³

Step-by-step explanation:

The volume of a cone is calculated as:

= 1/3πr²h

where,

π = 3.14

r = radius = diameter/2 = 3.5/2 = 1.75

h = height = 6

Volume = 1/3πr²h

= 1/3 × 3.14 × 1.75² × 6

= 19.2325

= 19.2inches³

Therefore, the volume of the cone-shaped sandwich is 19.2inches³.

Answer:

June - August

Step-by-step explanation:

First count all of the Temperature values!

1. 40 + 45 + 58 + 69 + 78 + 88 + 92 + 90 + 82 + 70 + 57 + 45 = 814

2. now divided by the amount of months!

3. the average answer is 66 and 67!

Mmm, I'm stuck in this point! Just try June - August

But this is how you can find the average with a graph!

Answer: 10

Step-by-step explanation:

the 6 digit in 63,700 is 60,000 and the 6 digit in 76,000 is 6,000.

60,000 / 6,000 is 10.

Answer: 10 ten

Step by step explanation:

Answer:

He was an Anti-federalist

Step-by-step explanation:

Answer:

Anti-federalist

Step-by-step explanation:

The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.

Answer:

Angle 3 is 80°

Step-by-step explanation:

it is a vertically opposite angle to angle 2, which is 80°

Answer:

[tex](x-2)^2+(y+4)^2=25[/tex]

Step-by-step explanation:

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x-coordinate of the center, k is the y-coordinate of the center, and r is the radius of the circle.

The given circle has:

x-coordinate of center: 2

y-coordinate of center: -4

radius: 5

Meaning h = 2, k = -4, r = 5

Substitute into the general eqn.

[tex](x-2)^2+(y+4)^2=5^2=25[/tex]

Answer:

[tex] I = \dfrac{1}{3}sin(3x) - 3cos(x) + C[/tex]

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

[tex]\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]

[tex]\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}[/tex]

Answer:

[tex]\displaystyle \large{\frac{\sin 3x}{3} - 3\cos x + C}[/tex]

Step-by-step explanation:

We are given the indefinite integral:—

[tex]\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx}[/tex]

Important Formulas

[tex]\displaystyle \large{\int f(ax+b) \ dx = \frac{1}{a} F(ax+b) + C}\\\displaystyle \large{\int \cos(ax) \ dx = \frac{1}{a} \sin (ax) + C \ \ \tt{(a \ \ is \ \ a \ \ constant.)}}\\\displaystyle \large{\int \sin x \ dx = - \cos x + C}\\\displaystyle \large{\int [f(x) \pm g(x)] \ dx = \int f(x) \ dx \pm \int g(x) \ dx}\\\displaystyle \large{\int kf(x) \ dx = k \int f(x) \ dx \ \ (\tt{k \ \ is \ \ a \ \ constant.})}[/tex]

Therefore, from the integral, apply the properties above:—

[tex]\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \int \cos 3x \ dx + \int 3 \sin x \ dx}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \int \cos 3x \ dx + 3 \int \sin x \ dx}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \frac{1}{3} \sin 3x + 3\cdot -\cos x + C}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \frac{\sin 3x}{3} - 3\cos x + C}[/tex]

Hence, the solution is:—

[tex]\displaystyle \large \boxed{\frac{\sin 3x}{3} - 3\cos x + C}[/tex]

the answer is 8 because 60÷8=8

Answer:

the missing angle would be 17 inches. I am not exactly sure but if the leg a and leg b were calculated with those 2 numbers then the other side(known as hypotenuse) should be 17 inches

Answer:

h(3)=-6

Step-by-step explanation:

sub 3 into all the positions which variable X is present

[tex]h(3) =( 2 \times 4) - (4 \times 2) - 2(3)[/tex]

[tex]h(3) = 8 - 8 - 6[/tex]

[tex]h(3) = - 6[/tex]

Probability helps us to know the chances of an event occurring. The number of black, blue, green and red marbles in the bag are 4, 3, 2, and 1 respectively.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given Joanne has 10 marbles in a bag. Also, she does an experiment whose results are as follows:

The number of black marbles in the bag is equal to the product of Probability of getting a black marble and the number of marbles. Therefore,

The number of black marbles = (24/60)×10 = 4

The number of blue marbles in the bag is equal to the product of Probability of getting a blue marble and the number of marbles. Therefore,

The number of blue marbles = (18/60)×10 = 3

The number of green marbles in the bag is equal to the product of Probability of getting a green marble and the number of marbles. Therefore,

The number of green marbles = (12/60)×10 = 2

The number of red marbles in the bag is equal to the product of Probability of getting a red marble and the number of marbles. Therefore,

The number of black marbles = (6/60)×10 = 1

Hence, the number of black, blue, green and red marbles in the bag are 4, 3, 2, and 1 respectively.

Learn more about Probability:

https://brainly.com/question/795909

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