The courtyard of an apartment complex is represented by the vertices T(4, 1), U(30, 11), and V(17, 36). Each unit represents 1 meter. A bench is located at the centroid of the courtyard. Which ordered pair gives the coordinates of the centroid?

Answer:

The slope is 1

Step-by-step explanation:

Point slope equation is y-y1/x-x1

-2-(-1)/-3-(-2)

-2+1/-3+2

-1/-1=+1

Answer:

7

Step-by-step explanation:

Answer: 5.2

Step-by-step explanation:

3*7 = 21

21/5 = 4.2

Answer:

1. 2 3

x-9 , 2×+3

Step-by-step explanation:

sana makatulong po

Answer:

Step-by-step explanation:

The area is the product of the length and width

Width = ?

The width is 2 3/20 m

Answer:

3:6:4

Step-by-step explanation:

We are given that

Number of apples in the basket=12

Number of pears in the basket=24

Number of oranges in the basket=16

We have to find the ratio of apples, pears and oranges in the  basket.

[tex]12=4\times 3[/tex]

[tex]24=4\times 3\times 2[/tex]

[tex]16=4\times 2\times 2[/tex]

HCF (12,24,16)=4

Now, divide each number by HCF

Then, we get

3:6:4

Therefore, the ratio of apples, pears and oranges in the  basket.

3:6:4

Answer:

[tex]n + d = 368[/tex]

[tex]0.05n + 0.10d = 28.40[/tex]

Step-by-step explanation:

Given

[tex]Total = 368[/tex]

[tex]Value = \$28.40[/tex]

Required

Determine the linear equations to represent the scenario

Represent nickel with n and dimes with d

So, the total is:

[tex]n + d = 368[/tex]

[tex]1\ nickel = \$0.05[/tex]

[tex]1\ dime = \$0.10[/tex]

So, the value is:

[tex]0.05n + 0.10d = 28.40[/tex]

Hence, the linear equations are:

[tex]n + d = 368[/tex]

[tex]0.05n + 0.10d = 28.40[/tex]

The system of linear equations and solution can be used to represent the number of nickels and dimes Matthew has in his collection is n + d = 368 0.05n + 0.1d=28.4  168 nickels and 200 dimes.

Given that,

Based on the above information, the calculation is as follows:

n + d = 368

So,

d = 368 - n

And,

0.05n + 0.10d = 28.40

0.05n + 0.10(368 - n) = 28.40

0.05n + 36.8 - 0.10n = 28.40

0.05n = 8.4

n = 168

So, d = 368 - 168

= 200

Therefore we can conclude that the correct option is A.

Learn more: brainly.com/question/16115373

A is 0.

B is 7.

C. is 3.

D is 0.

I dont know E.

F is 3.

G is 0.

Answer:

15.1 $

Step-by-step explanation:

Answer:

Rotational Symmetry

Step-by-step explanation:

Parallelograms have no lines of symmetry. But they do have rotational symmetry at 180°.

Answer: 1 1/4

Step-by-step explanation:5/4 is an improper fraction so it can not be simplify aymore but you can write it as a mixed number. 5/4 as an improper fraction is 1 1/4 .

Hope it helps :)

Answer:

19.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2-4

5x+6

15-(x+3)

2(x-7)

Hope this is correct

Answer:

12/sin90'=b/sin67'

12sin67'=bsin90'

b=12sin67/sin90'

Step-by-step explanation:

sister ,we can use the law of sines. since we have the angle of elevation and assume the wall makes a right  angle with the ground, our angle opposite the ground is 180-[90+23=67

hope this is  helpful for you

Step-by-step explanation:

Find 2r:

11 x 11 = 121

Multiply 2r with pi:

121 x 3.141592654 = 380.1327111

= 380.13 (Nearest hundredth)

I kind of forgot my 6th grade geometry, so I'm sorry if it is wrong.

Answer:

380.13

Step-by-step explanation:

(2r)

2. Multiply 2r (with Pi)

3. 121 x 3.141592654

= 380.1327111

NEAREST HUNDREDTH

= 380.13

ANSWER----------------------------

Answer:

A or B i hope this helps! sorry

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It goes up as it goes right so not A or B. Not D as it is a straight line.

Answer: The cost of loan for Mr. Moh = $6083.48,

Mr.Moh paid $2083.48 interest at the end of the 3 years.

Step-by-step explanation:

Cost of a loan includes original amount and the interest charged on it.

Formula to calculate accumulated amount after t years:

[tex]A=P(1+r)^t[/tex], where P= original amount, r=rate of interest.

Here, P= $4000 , r= 15%= 0.15, t = 3 years

[tex]A=4000(1+0.15)^3\\\\=4000(1.15)^3\\\\=4000\times1.52087\approx6083.48[/tex]

Cost of loan = $6083.48

The cost of loan for Mr. Moh = $6083.48,

Interest = A-P = $(6083.48-4000)= $ 2083.48

Hence, Mr.Moh paid $2083.48 interest at the end of the 3 years

Answer:

1/2×b×h

1/2×7×4 =area

a=14

give brainlist

Answer:

A=(l*w)/2

a=7*4/2

A=28/2=14

the answer is 14 I think

Answer:

[tex]2x^2 + 2x[/tex]

Step-by-step explanation:

Multiply into the parentheses.

Simplify:

[tex]x(2x + 2)[/tex]

Answer:

p = (5t)/9

Step-by-step explanation:

9 mins ---------- 5 pages

1 min -------------5/9 page

t mins ------------5/9 x t pages

thus

p = (5t)/9

Answer:

4 / 3

Step-by-step explanation:

slope formula: (y2 - y1) / (x2 - x1)

(13 - 1) / (6 + 3)

12 / 9

4 / 3

Answer:

9

Step-by-step explanation:

k  = 6

3k - 9  = 3*6 - 9

           = 18 - 9

            = 9

Answer:

Age of Nicole x= 24 years

Age of Donald = y = 48 years

Step-by-step explanation:

Suppose x represents Age of Nicole in years and y represents age of Donald in years

Sum of their ages is 72, therefore

[tex]x+y=72[/tex] -------------- (1)

Nicole is half as old as Donald

[tex]x= \frac{y}{2}[/tex]   ------------------ (2)

Substitute x=y/2 in equation (1)

[tex]\frac{y}{2} +y = 72 \\3y = 2(72) \\y = \frac{144}{3} \\y= 48 \ years[/tex]

Now put y=48 in equation (2)

[tex]x =\frac{48}{2} \\x=24[/tex]

We must to remember what is the standard form of equation of straight line. It looks like that:

Ax+By+C=0.  A,B and C it's coefcients; x and y - it's variables.A and B must not be equal to zero at same time.This condition can be writen like this: (A^2+B^2) not equal to zero.

We know that x=2 ("after two hours") and y=15 ("velocity of the cyclist is 15 km/h")

AND

x=5 ("after five hours") and y=12 ("velocity of the cyclist is 12 km/h").

Lets look at standart form and give the values on variables.1. 2A+15B+C=0

2. 5A+12B+C=0and it is system.let's subtract the bottom equation from the top  -3A+3B=03A=3BA=B.So we can choose any value for A and B, just A=B.I choose for A=B=1.Our equation takes the formx+y+C=0

x+y=-C

and if we giving the value to variables, we can find coefficients "C".

5+12=-CC=-17.

Standart form is:x+y-17=0. ---- answer for Part A.

and the graph of this function is a straight line.For find the answer to Part B, we need to prolong our straight line into the perpendicular vertical line wich contain x=12.

In the point of the intersection of the lines, you must to turn at right angle to axis OY and to come at the value in the axis OY, it's will be the velocity after 12 hours

Answer:

When y=32, x=16.5

Step-by-step explanation:

Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4.

We are given:

x varies inversely with y

We can write it as: [tex]x\:\alpha \:\frac{1}{y}[/tex]

[tex]x=\frac{k}{y}[/tex]

We have x = 132, when y=4

We can find value of k by using these values

[tex]x=\frac{k}{y}\\132=\frac{k}{4}\\k=132*4\\k=528[/tex]

We need to find x when y=32

[tex]x=\frac{k}{y}\\x=\frac{528}{32}\\x=16.5[/tex]

So, when y=32, x=16.5

Answer: $24.50

Step-by-step explanation:

Since the shirts were on sale for $19.95 each, both shirts would cost:

= $19.95 × 2

= $39.90

We are further told that he saved a total of $9.10. This means the original cost for both shirts would be:

= $39.90 + $9.10

= $49.00

Then, the original price for each one would be:

= $49.00 / 2

= $24.50

Answer:

I believe it would be inches.

Step-by-step explanation:

When companies are describing screen size, they always measure from one corner to the other and use inches.