Point O is a centroid of the triangle LMN. If OM=38 cm, what is MP?
a.) 114 cm
b.) 19 cm
c.) 57 cm
d.) 25.5 cm

Point O Is A Centroid Of The Triangle LMN. If OM=38 Cm, What Is MP?a.) 114 Cmb.) 19 Cmc.) 57 Cmd.) 25.5

Answers

Answer 1

9514 1404 393

Answer:

  c.)  57 cm

Step-by-step explanation:

The centroid divides the median into parts with a 2:1 ratio.

  OM : OP = 2 : 1

  OM : MP = 2 : (2+1) = 2 : 3

As a fraction with MP on top, this is ...

  MP/OM = 3/2

  MP = (3/2)OM = 3/2×(38 cm)

  MP = 57 cm

__

Comment on the answer choices

Often, you can eliminate a number of the choices in a multiple-choice question just by testing whether they are reasonable. Here, the longer part of a line segment has length 38, so the whole segment will not be shorter than that. The choices 19 and 25.5 make no sense.

The remaining choices are 114 cm and 57 cm. The former is 3 times the length of the given segment, which the drawing tells us is unreasonable.

The only reasonable choice offered is 57 cm.


Related Questions

A radio arm saw has a circular cutting blade with a diameter of 10 inches and it spins at 2000rpm if there are 12 cutting teeth per inch on the cutting blade how many teeth cross the cutting surface each second

Answers

Answer:

12565.11 teeth approximately cut cross the cutting surface per seconds.

Step-by-step explanation:

Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).

The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw

Number of teeth on saw = 12 x 10π = 120π.

To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.

So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33

Therefore, we have

33.33 x 120π ≈ 12565.11 teeth

Tom's Ice Cream Shop sold 7 sundaes with nuts and 5 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?

Answers

Answer:

20 : 28

5 : 7 = 20 : 28. And 7 is a fourth of 28.

Alfie has £10 note He buys 3 pens costing 1.45 each and some pencils costing 90p He gets 2.05 change. How many pencils did he buy?

Answers

Answer:

4 pencils

Step-by-step explanation:

Note=  pencils costing 0. 90p

Given data

Balance= £10

pen= 3*1.45= £4.35

pencils=0.90p

change= £2.05

2.05= 10-4.35-90p

solve for p

2.05= 5.65-90p

collect like terms

5.65-2.05= 0.90p

3.6=90p

divide both sides by 90

p=3.6/0.90

p=4

Kyle's house has a taxable value of $139,000. His property tax rate is 0.25%. How much will Kyle have to pay in property taxes?
What is the answer????

Answers

Answer:

$347.50

Step-by-step explanation:

0.25% of 139000 = 0.0025 × 139000 = 347.5

FOR 40 POINTS!!!!! PLEASE ANSWER THE QUESTION!!!!!!!! And i will mark you brainlist

Classify the deposit investment:

You want to put a $30,000 down payment on a storefront for a new business that you plan on opening in 5 years. How much should you deposit quarterly into an account with an interest rate of 1.23%, compounded quarterly?

Answers

Answer:

jayfeather friend me

Step-by-step explanation:

$203,904

What amount would you have if you deposited $1,800 a year for 30 years at 8 percent (compounded annually)? $1,800 113.28 = $203,904 (TVM Table-Page 41) 5.

It is $203,904 hope I am right

Please help me. 25 points.

Answers

Rounding to the nearest tenth is 5 and the height is 9 inches
8 inches = 4.5(4) = 18 feet

2/2 = 4.5/2 = 2.25 feet


Which means, if we add the product and quotient up, we’ll get 20.25 feet for the total height.


I believe it’s already rounded up.

NEED HELP ASAP!!!
Use Pythagorean Theorem to solve. Round to the nearest tenth *
7.2 cm
2.1 cm
х

Answers

Answer:

7.5

Step-by-step explanation:

A squared + B squared = C squared

7.2 squared + 2.1 squared = C squared

=7.5

Question 6(Multiple Choice Worth 4 points)
(05.07 MC)

The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win. Comparing the location of the game and the number of wins, a correlation coefficient of 0.891 is calculated. What would this imply about the football team winning at home?

The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, but causation cannot be determined.
The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, and a causal relationship exists between the team playing at home and winning.
The scatter plot would not be represented by a line of best fit with a positive slope. There is a weak correlation between the football team playing at home and winning.
There is no causation and almost no correlation between the football team playing at home and winning.

Answers

Answer:

The scatter plot would closely resemble a straight line with a positive slope, but causation  cannot be determined.

Step-by-step explanation:

Recall that causation and correlation are 2 different things. Say Taller people usually had a name that started with the letter “A” It's a correlation, but a name does not determine the height, so it's not causation. (I took the test and got it right too.)

The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning would be imply about the football team winning at home.

What is a correlation coefficient?

It is an index that measures correlation between two variables, assuming values between -1 and 1.

If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.

If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

It also is the slope of the line of best fit.

The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win.

Comparing the location of the game and the number of wins, a correlation coefficient of 0.891 is calculated.

The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.

Learn more about straight line here:

https://brainly.com/question/21872285

#SPJ4          

what are the expressions that are equivalent to 2x + 3x + 8 - 3x - 2​

Answers

Answers that equivalent to the expression 2x+3x+8-3x-2 would be the choices A and C. If you notice, in choice A, you have just combined all the like terms which results in 2x+6 and in Choice C, you have combined all your constants and the the two terms 2x and 3x resulting in 5x-3x+6 which all remain equivalent to he original given expression

ILL MARK YOU EXTRA POINTS PLS HELP Point A is at (-1, -9) and point B is at (2, 4).
What is the midpoint of line segment AB?

Answers

Answer:

it's (1/2, -5/2)

Step-by-step explanation:

you can use the midpoint formula.

so do -1+2/2 , -9 +4/2 and then solve and you get the answer

x > -2

A number line going from negative 2 to positive 2.

Check all that are solutions of the inequality.
A. -2
B. 0
C. -3.75
D. 4 and two-fifths
E. 1.999
F. 347,595

Answers

Answer:

B, E

Step-by-step explanation:

0 and 1.999 are greater than -2 yet within the number line

Answer:

0

4 and two-fifths

1.999

347,595

Step-by-step explanation:

Got it right.

Hope this helps!!!

Witch one would you pick


be honest

starbucks, bobo, tallys world , or boba... you pick say in order what your favs and what you get from there

Answers

Answer:

I prefer Starbucks, and I get the Cookies and Cream Frappuccino.

Step-by-step explanation:

Because it taste good

Answer:

Pumpkin spice latte from Starbucks ( when they have it ) or mango boba

Step-by-step explanation:

A grain trader buys the following amounts from three suppliers: 3,200 pounds, 7,200 pounds and 600 pounds. What is the total weight of this purchase

Answers

1. You know that the grain trader buys from three suppliers: 3,200 pounds, 5,100 pounds and 700 pounds.
2. Then, to calculate the total weight of his purchase you only need to add the pounds shown in the problem, as you can see below: THE ANSWER IS B!

The total weight of the grain purchase is 5.5 tons when grain trader buys the following amounts from three suppliers: 3,200 pounds, 7,200 pounds and 600 pounds.

To find the total weight of the grain purchase in tons, we need to convert the weight from pounds to tons and then sum them up.

Given the weights from the three suppliers:

Supplier 1: 3,200 pounds

Supplier 2: 7,200 pounds

Supplier 3: 600 pounds

To convert pounds to tons, we divide the weight in pounds by the conversion factor of 2,000 (since there are 2,000 pounds in a ton).

Supplier 1's weight in tons: 3,200 pounds / 2,000 = 1.6 tons

Supplier 2's weight in tons: 7,200 pounds / 2,000 = 3.6 tons

Supplier 3's weight in tons: 600 pounds / 2,000 = 0.3 tons

Now, we can calculate the total weight by summing up the weights from each supplier:

Total weight in tons: 1.6 tons + 3.6 tons + 0.3 tons = 5.5 tons

Therefore, the total weight of the grain purchase is 5.5 tons.

To know more about total weight click here :

https://brainly.com/question/32839030

#SPJ2

someone plz help me plz

Answers

Answer:

38.5

Step-by-step explanation:

First do 77/2 then you get 38.5, if anything is wrong please tell me!!

Hi! need help asap xx

Answers

Answer:

C

Step-by-step explanation:

The 3 triangles are all similar.

Using the 2 inside then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 → C

Answer:

C) x = 6

because this is a right triangle

=> we have:

(12² + x²)(3² + x²) = (15x)²

<=> 1296 + 153x² + x⁴ = 225x²

<=> x⁴ - 72x² + 1296 = 0

<=> (x² - 36)² = 0

<=> x² = 36

=> x = 6

Divide.Enter the quotient in simplest form

7/10 divided by 4/5

Answers

Answer:

7/8

Step-by-step explanation:

7/10 divided by 4/5 = 7/10 x 5/4 = 35/40 divided by 5/5 = 7/8

the answer is 7/8 and that is in the simplest form

Redraw the graph so that it is not misleading.​

Answers

Answer:

you need to redraw the left axis

Step-by-step explanation:

if you notice on the left axis the numbers do not increase by the same amounts, it goes up .10, then .20, then .30, etc

if should go up the same amount each time to accurately show the data

so it should go from 3.10 to 3.20 to 3.30 to 3.40 etc

Solve for c 4(3+c)+c=c+4

Answers

Answer:

c= -2

Step-by-step explanation:

Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°

Answers

Answer:

Step-by-step explanation:

x=5

y=-5

Hence it lies in 4th quadrant.

x=r cos θ

5=r cos θ  ...(1)

y=r sin θ

-5 =r sin θ  ... (2)

square and add

(5)²+(-5)²=r²(sin ²θ  +cos ²θ  )

r²=25+25=50

r=±5√2

dividing

tan θ=-5/5=-1=-tan 45°=tan (180-45),tan(360-45)

θ=135°,315°

so polar coordinates are (5√2,315°) and (-5√2,135°)

X=5 Y=-5 is the answer I think?

1 over 8 as a negative exponent

Answers

Answer:

8⁻¹

Step-by-step explanation:

1/x = x⁻¹

8^-1 is the answer......

pls help me for brainless
and 60points

Answers

Answer:

2nd

Step-by-step explanation:

Answer:

the orange one

Step-by-step explanation:

3x^2+x-2

3x^2 cant be broken down more because its a prime number. the only thing that can change is the x^2. the main difference between the blue and orange one is that the blue one has the second sign incorrect.

find the area of the shape

Answers

Answer:

787.5

Step-by-step explanation:

23×14=322

A=a+b /2h=15+34 /2·19=465.5

322+465.5=787.5

As a mixed number in its simplest form :)

4 1/2 ÷ 3/5

Answers

Answer:7.5

Step-by-step explanation:

Answer:

7 1/2

Step-by-step explanation:

Apply the distributive property to create an equivalent expression. 5 × ( − 2 w − 4 )

Answers

Answer:

5(-2w)-(5x4)

Step-by-step explanation:

Answer:

5(-2w)-(5x4)

Step-by-step explanation:                                                                                  Hope this helps Can I be the Branliest?

Someone please help with this asap!! I will mark brainliest if it's right! Serious answers only !!!

Answers

Answer:

1) given

2) given

3) definition of vertical angles

4) AAS

Step-by-step explanation:

1) given

2) given

3) definition of vertical angles

4) AAS

is the answer to the question

Piece of Cake!
Solve this problem:
A cake has 79 slices.
Harry ate 47 slices; Jack ate 14 slices; Dave ate 10 &
Mary ate 8 slices.
What fraction of the cake is remaining?

Answers

Answer:

none/0

Step-by-step explanation:

they ate all the cake.

now harry is gonna get sick

Answer:

79/79 or 1

Step-by-step explanation:

47+14+10+8=79

If Harry, Jack, Dave, and Mary all ate 79 slices in total, then there would be no more cake left since there are only 79 slices. The fraction answer would be 79/79 or 1, because they 79/79 is equivalent to 1.

i suck at fractions..............................

Answers

That would be 6 and 3/8

Determine whether the function is proportional or nonproportional. y = 3x -
1*
May someone please explain how to do this

Answers

Answer:

y=1/2x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

Simplify each expression by combining like terms
-3x + 12x =

Answers

Answer:

9x

Step-by-step explanation:

hshdhdhdxhhxhxhxhxhxhxhxhhxhxhxhhx

Answer:

9x or 15x

Step-by-step explanation:

-3x + 12x = 9x

-3 + 12 = 9,

or if you just straight out add

-3x + 12x = 15x

Can someone solve this please: 54.69 rounded to the nearest integer

thank you <3​

Answers

Answer:

55

Step-by-step explanation:

55
Rounding up to an integer is rounding up to a whole number, 55 would be the nearest whole number!
Other Questions
1. Thad bought 8 notebooks that cost $3.79 each. If he gave the cashier a $50 bill, how much change did he get back from the purchase?2.Lucy purchases a car for $16,314.40. If she makes a payment each month for the next 40 months, how much will she pay each month. (enter your answer as $dollars.cents) HELP ME PLEASE! I need this ! 1. Who were the two countries fighting one another in the war?A . France and Britain. B . The Netherlands and SpainC . Spain and FranceD . Britain and the Netherlands help SOMEONE PLEASE HELP WILL GIVE 25 POINTS HELPP (2) this is due in 4 mintues When solid copper reacts with aqueous silver nitrate, the products are copper (II) nitrate and silver metal. Howmany grams of silver would be produced from 83.94 grams of silver nitrate? (2.99548) x (1.8342) What was one of the major reasons for the War of 1812?fishing rightsprotection of the coastlineconquer of Canadatrade routes If Earth's history has lasted 4.6 billion years (4600 million years), and one calendar year has365 days, how many years would be represented by one calendar day? The full House of Representatives approved a bill by a majority vote. Is the bill dead or alive why is monarchy important? A Flag for ReviewWhich statement expresses a theme from the excerpt?A.Winter is a cold and solemn time of year.B.Children bring joy and laughter into a home.lyC.Strong friendships are unaffected by age and time.D.Memories of old friends bring loneliness andlonging.it How does a fungus get food?Question 1 options:both autotroph and heterotrophNeither. It doesn't eat!autotrophheterotroph A 18.5 gram sample of metal was added to a graduated cylinder that hadan initial volume of 45.50 mL. The water level raised to 54.10 mL. Usingthis information, calculate the density of the metal. * Where on earth did life first begin? what is a Local wind Need help guys please What is density?1. a measure of salinity2. the weight of water3. the amount per unit volume of a particular material4. the amount of salt in water Raheem's entire workout consisted of 15 minutes of warm-up exercises, 30 minutes of lifting weights,and 45 minutes on the treadmill.What is the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout? a. 1:1. b. 1:3. c.1:9. d.3:10