1. A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are:

(3, -2), (3, 4), and (−3, 4).

The city planner wants to put a tree at the orthocenter of the park. What are the coordinates of the tree?
2. The city planner wants to put a flower bed at the centroid of the park. What are the coordinates of the tree?
3. picture below

Explanation:

In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).

Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 9.

With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).

Our denominator here is 52 - the number of cards from which we can pull 1.

Our numerator is both all the diamonds, 13 cards, and all the nines, 4 cards, but we need to subtract 1 to account for the double counting of the 9 of diamonds.

In all we get:

13+4 - 1/52 =

≈  16/52

=4/13

Answer: 0.3077

Probabilities are used to determine how likely an event is, to happen. The probability of drawing a 9 or diamond is: 4/13

In a standard deck of cards, we have:

[tex]n = 52[/tex] --- There are 52 cards in total

[tex]n(9) = 4[/tex] ---- Cards with number 9 are 4

[tex]n(Diamond) =13[/tex] ---- there are 13 diamonds

[tex]n(9\ n\ Diamond) = 1[/tex] ---- Diamond cards with number 9

The probability of drawing a 9 or diamond is:

[tex]P(9\ or\ Diamond) = P(9) + P(Diamond) - P(9\ n\ Diamond)[/tex]

So, we have:

[tex]P(9\ or\ Diamond) = \frac{n(9)}{n} + \frac{P(Diamond)}{n} - \frac{n(9\ n\ Diamond)}{n}[/tex]

This gives:

[tex]P(9\ or\ Diamond) = \frac{4}{52} + \frac{13}{52} - \frac{1}{52}[/tex]

Take LCM

[tex]P(9\ or\ Diamond) = \frac{4+13-1}{52}[/tex]

[tex]P(9\ or\ Diamond) = \frac{16}{52}[/tex]

Simplify

[tex]P(9\ or\ Diamond) = \frac{4}{13}[/tex]

Hence, the probability of drawing a 9 or diamond is: 4/13

Read more about probabilities at:

https://brainly.com/question/24297863

Step-by-step explanation:

PQR = PRQ = 2x ° ( base angle of an isosceles are equal ) .

therefore

PQR + PRQ + QPR = 180° ( sum of angles in a triangle )

2x + 2x + 40 = 180

4x + 40 = 180

subtract 40 from both sides

4x = 140

divide through by 4

x = 35°

Answer:

26 trees

Step-by-step explanation:

Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?

Given:

b + 2c + 3j

Where,

b = number of hours Ben spends chopping

c = number of hours Cam spends chopping

j = number of hours Justin spends chopping

Substitute the below into the given expression

b = 8 hours

c = 3 hours

j = 4 hours

b + 2c + 3j

= 8 + 2(3) + 3(4)

= 8 + 6 + 12

= 26 trees

They chopped down 26 trees altogether

Answer: 37!!!

Step-by-step explanation:

1. 50% equals .5 in decimal form.

When converting a percentage to decimal, divide by 100 or move the decimal point to the left twice.

2. The word of means multiply so we multiply .5 by 74.

3. We get 37!

hope this helped, brainliest plsss :))))

I was the first one!

Answer:

23/12 hours or 1.9167 hours

Step-by-step explanation:

We are told that Sam can clean the pool in 5 hours. This implies 1:5

Also, his coworker Glenn can clean the same pool in 7 hours. This implies 1:7

Since it's the same pool, let's generate a workrate formula.

Thus;

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

Where x is the amount of time used by both of them to clean 1 pool

Simplifying it, we multiply each term by 35 to get;

7x + 5x = 35

12x = 35

x = 35/12

We are now told that One day Sam

started to clean the pool by himself and worked for an hour.

Thus, remaining time after Sam worked 1 hour is; (35/12) - 1 = 23/12 hours

Thus, time they both used to finish cleaning the pool is 23/12 hours

The perimeter of the triangle ABC will be 54 units.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In the diagram, AC is parallel to RP.

Then the triangle ABC and RBP will be similar.

Then the ratio of the corresponding sides will be constant.

BP / 10 = 7 / 14

      BP = 5

Then the perimeter of the triangle ABC will be

Perimeter = 7 + 14 + 18 + 10 + 5

Perimeter = 54 units

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

Answer:

(-8;7) ---> (8;7)

x changes sign. y stays with the same sign

............

Answer:

angle 8

Step-by-step explanation:

Follow Me Please

I belive it is assets

Answer:40

Step-by-step explanation:

Answer:

the answer is 40cm^2

Step-by-step explanation:

i multiply them

4.83 x 8.18 = 39.5094

the estimate is 40

Answer:

$420.25

Step-by-step explanation:

Total earnings of the week

[tex] = 400 + 3 \% \: of \:675 \\ \\ = 400 + 0.03 \times 675 \\ \\ = 400 + 20.25 \\ \\ = \$ 420.25[/tex]

Answer:

g(1)=0

Step-by-step explanation:

g(1)=4-2(3-1)

g(1)=4-2(2)

g(1)=4-4

g(1)=0

Answer:

the answer to this question is c

Answer:

C

Step-by-step explanation:

We have the system of equations:

[tex]\displaystyle -2x+5y=19 \\\\ y=-\frac{5}{6}x-\frac{1}{6}[/tex]

And we want to use the graph to approximate the solution to the system.

Remember that, graphically, the solution to a system of equations is where the two graphs intersect.

We can see that the point at which the two lines intersect is in QII.

Hence, x is negative and y is positive.

The only choices that satisfies these conditions are B or C.

However, for B, -5/2 is -2.5. As we can see from the graph, the x-coordinate of the point of intersection is less than -3.

Hence, the only choice left is C. -13/4 also is -3.25, fulfilling our condition.

So, our final answer is C.

Answer:

C. p

Step-by-step explanation:

Given the expression p - q = 0

We are to find the value of q

Substract p from both sides;

p - q - p = 0 - p

-q = - p

Multiply both sides by -1

-(-q) = -(-p)

q = p

Hence the correct solution is q = p

Answer:

$192

Step-by-step explanation:

That's all I

got

Answer: x=14,-7

Step-by-step explanation:

Answer:

25% , 6/24 , .25

Step-by-step explanation:

The total number of chocolates in the box are 24 and the number of plain chocolates is 6. 6/24 is .25 in decimal and 25% in percentage

Answer:

Out of

Step-by-step explanation:

A two-word phrase used to show division in a word problem.

Out of is a two-word phrase which is used to show division in a word problem.

Word problems in mathematics often use words such as divided by, per, average, split into, cut into, quotient of, ratio of to denote division (÷)

Answer:

D, a quotient.

Step-by-step explanation:

The sign ÷ indicates a quotient.

Answer:

D.

Step-by-step explanation:

You are dividing the two numbers which gives you a quotient

Answer:

-1 > -2

Step-by-step explanation:

-9 ÷ (3(3) > -2

-9 ÷ 9= -1

-1 > -2

this is true

Answer:

There are 5 terms

Step-by-step explanation:

each number is its own term

Answer:

79/28

Step-by-step explanation:

i have no clue-

Answer:

I do

Step-by-step explanation: