Jan wants to lay sod on this lot. How
much sod does he need?
In sq.ft.
Type in your response.

Answer:

n=15, 35/28=15/12

Step-by-step explanation:

28/12=2.33

35/2.33= 15

Answer:

yes it is a function

Step-by-step explanation:

Mathematics

In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Answer:

False

Step-by-step explanation:

A function has only 1 y value for any given x value.

You can use the "vertical line test" to check if a graph is of a function.  Move a vertical line (you can use the edge of a ruler) from left to right across the graph.  If at any point the line intersects the curve in two or more places, the curve is not a function.

Answer:

a. 113.1 cm^3.

b. 339.29 cm^3.

c. 18 cm.

d. 508.94 cm^3.

e. 169.65 cm^3.

Step-by-step explanation:

a. (4/3) * pi * (3^3) = (4/3) * pi * 27 = 36 * pi = 113.0973355, which is about 113.1 [tex]cm^{3}[/tex].

b. 113.0973355 * 3 = 339.2920066, which is about 339.29 cm^3.

c. Since the radius of a tennis ball is 3 cm, the diameter is 6 cm. There are three tennis balls, and the diameters added up become the height of the cylinder. 6 + 6 + 6 = 18 cm.

d. pi * (3^2) * 18 = pi * 9 * 18 = pi * 162 = 508.9380099, which is about 508.94 cm^3.

e. 508.9380099 - 339.2920066 = 169.6460033, which is about 169.65 cm^3.

Hope this helps!!

Answer:

d

Step-by-step explanation:

Answer:

69242/3 or 23080.666667

Step-by-step explanation:

2345 is multiplied by 2. Then the result is divided by 6. Then 22299 is added to the final result.

2345 × 2

= 4690

4690/6

= 2345/3

2345/3 + 22299

= 69242/3

Answer:

d:48:(48+36)

Step-by-step explanation:

cause the length PT corresponds to PQ so the value of PT which is 48 corresponds with the value of PQ which is 48+36 I guess

Option d 48:(48+36) is the correct option.

Given that:

Statements that Nora wrote are:

Statement Reason

1. Segment ST is parallel to segment RQ Given

2. Angle QRS is congruent to angle TSP Corresponding angles formed by parallel lines and their transversal are congruent

3. Angle SPT is congruent to angle RPQ Reflexive property of angles

4. Triangle SPT is similar to triangle RPQ Angle-Angle Similarity Postulate

5. 60: (60+x) = ?

It is the property that a line intersecting and cutting a triangle which is parallel to a side of that triangle has those cuts with proportionate measures.

In the given figure, the above fact is shown symbolically as:

[tex]\dfrac{PS}{PR} = \dfrac{PT}{PQ}\\[/tex]

Thus we have :

[tex]\dfrac{60}{60+x} = \dfrac{48}{48+36}\\[/tex]

Thus Option d  48:(48+36) is the correct option.

Learn more here:

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Answer:

4

Step-by-step explanation:

Well first we need to plug in 10 for g and h for 5.

4 - .25(10) + .5(5)

4 - 2.5. + 2.5

1.5 + 2.5

= 4

Thus,

the answer is 4

Hope this helps :)

Answer:

4

Step-by-step explanation:

We are given the expression:

4 - 0.25g + 0.5h

We know that g= 10 and h=5. Therefore, we can substitute 10 and 5 into the expression.

4-0.25(10)+0.5(5)

Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

First, multiply 0.25 and 10

4-2.5+0.5(5)

Next, multiply 0.5 and 5

4-2.5+2.5

Next, subtract 2.5 from 4

1.5+2.5

Finally, add 1.5 and 2.5

4

4 - 0.25g + 0.5h when g=10 and h=5 is 4.

Answer:

(a) y =  3x + 2; (b) (0,2); (c) y = 3x - 8; (d) (2,-2)

(e) Area of ∆ABC = 30; (f) Area of ABCD = 40

Step-by-step explanation:

(a) Equation of AD

(i) Slope of AB

m₁ = (y₂ - y₁)/(x₂ - x₁) = (6 - 8)/(8 - 2)= -2/6 = -⅓

(ii) Slope of AD

m₂ = 3

(ii) y-intercept

y = 3x + b

8 = 3(2) + b= 6 + b

b = 2

The equation of AD is y = 3x + 2.

(b) Coordinates of D

The coordinates of D are (0,2).

(c) Equation of perpendicular bisector of AB

(i) Mid-points of AB

x = ½(x₂ + x₁) = ½(8 + 2) = ½(14) = 5

y = ½(y₂ + y₁) = ½(6 + 8) = ½(14) = 7

The coordinates of the mid-point are (5,7).

Slope = 3

y = mx + b

7 = 3(5) + b = 15 + b

b = 7 - 15 = -8

The equation of the perpendicular bisector is y = 3x - 8.

(d) Coordinates of C

C is at the intersection of BC and the perpendicular bisector of AD.

 y = 3x -    8

3y = 4x - 14

3y = 9x - 24

 0 = 5x - 10

5x = 10

 x =   2

 y = 3(2) - 8  = 6 - 8 = -2

The coordinates of C are (2,-2).

(e) Area of ∆ABC

A = ½bh = ½ × 10 × 6 = 30

(f) Area of ABCD

Area of ∆ACD = ½bh = ½ × 10 × 2 = 10

Area of ABCD = ∆ACD + ∆ABC =10 + 30 = 40

Answer: Ask the king to draw first and read it. Explain that if the king selects "leave" the PM's choice could only be "stay". It is then unnecessary for the PM to draw. It avoids embarrassing the king in his lie, demonstrates the PM's intelligence, and keeps his job.

Step-by-step explanation:

Answer: Intersection of A and B = 2

Step-by-step explanation:

Total cards = 52

Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.

Total cards having 6 on them = 4

[There are 4 suits of two different colors red and black.]

Total  black playing card =26

Intersection of A and B = Black cards having 6 = 2

hence, Intersection of A and B = 2

Answer:

Step-by-step explanation:

[tex]In -an-obtuse -triangle;R^2>P^2+Q^2\\\\Largest-side = R\\\\.2nd -largest side =Q\\\\3rd -largest = P\\\\R^2>P^2+Q^2\\15^2 >6^2+8^2\\225>36+64\\225>100[/tex]

I hope it helps :)

Answer:

when there are a lot of options

to experiment

to test

Step-by-step explanation:

Answer:

$8

Step-by-step explanation:

It says P = per ball (which will be a number, n, for balls times the fixed price) plus a set entrance fee. So we find that the price per ball is $0.80, so 10 balls cost $8.

Answer:

$8

Step-by-step explanation:

Answer: 445 triangles can be form with 15 dots of a circle (I hope good luck)

Step-by-step explanation:

Answer:

455

Step-by-step explanation:

There are 15 points on a circle.

We need three points to form a triangle

Therefore the number of triangles = 15 choose 3 ​= 15!/(3!x12!)​ = (15x14x13)/(3x2x1) = 5x7x13 = 455

Hence the number of triangles formed is 455

Answer:

Each side is 5 cm

Step-by-step explanation:

What you are being told is that the figure is a rhombus. The two sides of a right triangle are 1/2 the size of the diagonals.

a = 3

b = 4

c = the side length of the rhombus.

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

Take the square root of 25

sqrt(c)^2 = sqrt(25)

c = 5

Answer: B. 9.69892 × 10^7

You'd have to move the imaginary decimal at the end of the number 96,989,200 seven times in order to get only one number that isn't zero before the decimal point.

Answer:

C. 2 to the 4'th power

Step-by-step explanation:

2x2x2x2 is 4 2's, the number of 2's indicates the power, so the answer would be 2 to the power of 4 because there are 4 2's

Hope this helps, If you have any questions, feel free to ask.

Have a good day! :)

Answer:

C 2 to the power of 4

Step-by-step explanation:

There are 2*2*2*2* 4 of the 2 so 2 to the power of 4

Greetings from Brasil...

Here we have application of Trigonometry

COS β = adjacent side ÷ hypotenuse (H)

bringing to our problem....

COS A = AC ÷ H

But we dont have AC.... We have to use Pitagoras:

AB² = AC² + BC²

AC² = AB² - BC²

AC = √(AB² - BC²)

AC = √(10² - 8²)

AC = √(100 - 64)

AC = √36

So

COS A = AC ÷ H  ⇔ COS A = AC ÷ AB

COS A = 6/10

Answer: B) 3/5

Step-by-step explanation:

Cos = adjacent/hypotenuse

Thus, the cos is AC/AB.

Because of Pythagorean Theorem, AC^2=AB^2-BC^2.  Let AC be x.

[tex]x^2=10^2-8^2\\x^2=100-64\\x^2=36\\x=6[/tex]

Thus, the cos is 6/10, or 3/5

Answer:

Arav is 30 and Pawan is 40

Step-by-step explanation:

We can call Arav's age x and Pawan's age x + 10, therefore we can write the following equation:

1/7((x + 10) - 5) = 1/5(x - 5)

1/7(x + 5) = 1/5(x - 5)

5(x + 5) = 7(x - 5)

5x + 25 = 7x - 35

-2x = -60

x = 30 so x + 10 = 40

Answer:

Step-by-step explanation:

The values ​​of the cosine function are represented by the axis OX of the goniometric circumference (circumference centered at the origin and of radius 1). Therefore the cosine is zero for the 90º and 270º angles.

Answer:

2 tickets left

Step-by-step explanation:

12✖️29=348

350-348=2

Answer:

If they play the maximum number of games, there will be two tickets left over.

Step-by-step explanation:

For this problem, I used long division.

350 divided by 12 comes out to be 29.

29 is the maximum number of games they could play.

29 times 12 is 348.

350 (the total number of tickets) minus 348 (number of tickets used) comes out to be two.

Hope this helps! Brainliest would really help me out :)

Answer:45

Step-by-step explanation:

Answer:

B. 30 square units

Step-by-step explanation:

Edge 2021

Answer with explanation:

After dilation about the origin(0,0) with the scale factor of 'k" , the image of the original point (x,y) becomes (kx,ky)

From the given graph, the coordinates of point C = (0,6)  [Since it lies on y-axis , the x-coordinate is zero]

After a dilation about the origin(0,0) with the scale factor of [tex]\dfrac{1}{2}[/tex], the new point will be [tex](\dfrac{1}{2}\times0,\dfrac{1}{2}\times6)=(0,3)[/tex]

Now plot this point on y-axis at y=3 as given in the attachment.

A system of inequalities can be solved graphically.

See attachment for the required graph

The inequalities are given as:

[tex]\mathbf{x +3y > 6}[/tex]

[tex]\mathbf{y \ge 2x + 4}[/tex]

The options are not given.

So, I have attached the graph that illustrates the solution to the system of inequalities

From the graph, we have the solutions as:

Read more about graphs of inequalities at:

https://brainly.com/question/15748955

Answer:

for exapmle:  (2, 5)          {5=2•2.5}

                       (8, 20)        {20=8•2.5}  

                       (-5,  -12.5}    {-12.5=-5•2.5}

Step-by-step explanation:

    -3y+3x    -3y+3x

            ÷2     ÷2

Answer:

neither

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

f(x)=-2x-5

Let x = 3

f(3) = -2 *3 -5

     = -6 -5

     = -11

Answer and Step-by-step explanation:

According to the given situation, The r-value associated with the ordered pairs for the linear function is very nearest to zero which does not results in adequate presentation of the outcome.

A quadratic model could properly comprise of a combination of data, as the set of data has a turning point.

This result in data rises and falls which represents the graph of quadratic's graph

A linear representation is not the best way to show the data from the equation as derived from the regression calculator.

Note that when plotted on a graph, it will show an upside down u kind of shape, and it as such look linear is not a good choice.  

Note also that the r-value is linked with the ordered pairs for the linear function as it is said to be closer to zero and thus, it does not show an adequate depiction of the outcome.

Therefore, A linear representation is not the best way to show the data from the equation as derived from the regression calculator.

Learn more about from

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#SPJ2

Answer:

541.67m²

Step-by-step explanation:

Step 1

We find the third angle

Sum of angles in a triangle = 180°

Third angle = Angle V = 180° - (63 + 50)°

= 180° - 113°

Angle V = 67°

Step 2

Find the sides x and v

We find these sides using the sine rule

Sine rule or Rule of Sines =

a/ sin A = b/ Sin B

Hence for triangle VWX

v/ sin V = w/ sin W = x / sin X

We have the following values

Angle X = 50°

Angle W = 63°

Angle V = 67°

We are given side w = 37m

Finding side v

v/ sin V = w/ sin W

v/ sin 67 = 37/sin 63

Cross Multiply

sin 67 × 37 = v × sin 63

v = sin 67 × 37/sin 63

v = 38.22495m

Finding side x

x / sin X= w/ sin W

x/ sin 50 = 37/sin 63

Cross Multiply

sin 50 × 37 = v × sin 63

x = sin 50 × 37/sin 63

x = 31.81082m

To find the area of triangle VWX

We use heron formula

= √s(s - v) (s - w) (s - x)

Where S = v + w + x/ 2

s = (38.22 + 37 + 31.81)/2

s = 53.515

Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)

Area of the triangle = √293402.209

Area of the triangle = 541.66614164081m²

Approximately to the nearest tenth = 541.67m²

Answer:

Players probabilities of winning are 4/7 , 2/7, 1/7 which of course sum to 1.

Step-by-step explanation:

The coin theoretically could give a very large number of tails first so each person's probability is made up of an infinite series.

P(1st person wins) = P(H) + P(TTTH) + P(TTTTTTH) + . . . etc

= 1/2 + (1/2)^4 + (1/2)^7 + (1/2)^10 + . . .

This is a geometric series with first term a = 1/2 and common ratio r = 1/8

Using formula a/(1 - r) this is (1/2)/(7/8) = 4/7

P(2nd person wins) = P(TH) + P(TTTTH) + P(TTTTTTTH)

= (1/2)^2 + (1/2)^5 + (1/2)^8 + . . .

Geometric series with sum (1/4)/(7/8) = 2/7

P(3rd person wins) = P(TTH) + P(TTTTTH) + P(TTTTTTTTH) + . . .

= (1/2)^3 + (1/2)^6 + (1/2)^9 + . . .

Geometric series with sum (1/8)/(7/8) = 1/7

Players probabilities of winning are 4/7 , 2/7, 1/7 which of course sum to 1.

Hope this helped!