Given:
The figure of a triangle LMN.
P is the centroid of triangle LMN.
To find:
14. Find the value of PN if QN=30.
15. Find the value of PN if QN=9.
Solution:
We know that the centroid in the intersection of medians of a triangle and centroid divides each median in 2:1.
Since P is the centroid it means NQ is the median from vertex N. It means P divides the median NQ in 2:1. So, PN:PQ=2:1.
14. We have QN=30.
[tex]PN=\dfrac{2}{2+1}QN[/tex]
[tex]PN=\dfrac{2}{3}(30)[/tex]
[tex]PN=2(10)[/tex]
[tex]PN=20[/tex]
Therefore, the value of PN is 20 when QN=30.
15. We have QN=9.
[tex]PN=\dfrac{2}{2+1}QN[/tex]
[tex]PN=\dfrac{2}{3}(9)[/tex]
[tex]PN=2(3)[/tex]
[tex]PN=6[/tex]
Therefore, the value of PN is 6 when QN=9.
This is a scale drawing of a Flag. The scale factor of a drawing to the actual flag is represented by the ratio 1:18. What is the area in square inches of the actual flag?
Answer:
648 in²
Step-by-step explanation:
Scale factor of drawing to actual flag = 1 : 18
This means the actual flag is 18 times bigger or larger than the drawing
To obtain the area in square inches of the actual flag :
Multiply the dimension of the drawing by 18 to obtain the actual dimension of the flag, then using the formular for the Area of a rectangle, we can obtain the actual area of the flag.
Actual width = 1 inch * 18 = 18 inches
Actual length = 2 inches * 18 = 36 inches
Actual area of flag = length * width
Actual area of flag = (18 * 36) inches
Actual area of flag = 648 in²
If f(x) = -2x2 + x-5, what is f(3)?
Answer:
f(3) = -20
Step-by-step explanation:
Replace each instance of x in 3^2x -9 =0 with 3:
f(x) = -2x2 + x-5 = f(x) = -2x^2 + x-5 (" ^ " represents "exponentiation")
f(3) = -2(3)^2 + 3 - 5
f(3) = - 18 - 2 = -20
factories fully 6m^2+8mp
Vhen flipping a coin, what is the probability of landings
meads and then heads again?
0.25% chance or 1/4th.
You have a 50/50 chance of getting heads or tails on a throw. .50 for each.
If you do get heads, there's the same chance of getting another heads.
Multiply the .50% chance of getting heads by .50 again, and you end up with a 0.25% chance total of getting heads twice in a row.
Consider the function m(t) =-28/5t.
Angie states that the additive inverse is p(t) = 28/5t and the multiplicative inverse is r(t) = -28/5t . Is one (or both) of Angie’s conclusions correct?
Angie is correct about both inverses.
Angie is correct about neither inverse.
Angie is correct about the additive inverse only.
Angie is correct about the multiplicative inverse only.
this is for today at 11:59 AND I DIDN'T DO IT I AM IN SO MUCH PRESSURE PLS HELP
Answer:
Step-by-step explanation:
cut each of the long boards in half. use a piece from each cut.. for one triangle and the other two pieces of each cute, for the next triangle. Place the longest board on the hypotenuse. then place the next board on one side of the triangle that is being made. line the ends up with each other ... so that the ends make the missing side form a right angle to the side board. Maybe the protractor would help here some. To find the 90° angle. Do the same with the other two pieces and the triangles will be congruent. b/c the Hypotenuses are the same length and one of the sides are also the same length. so then that makes them congruent triangles... hope that makes sense? :/
Answer:
hopefully u got it in x
Step-by-step explanation:
P - 24 = 13 step explanation
Answer:
p = 37
Step-by-step explanation:
The most important step in beginning algebra is to get all the letters on one side and and all the numbers on the other. In This case it is only all the numbers that need to be transferred.
p - 24 + 24 = 13 + 24
p = 37
Suppose the function h(x) = 2x - 9 is translated up 5 units to become a new function,
i(x)
What's the equation of the new function?
A) i(x) = 2x - 4
B) i(x) = 77-9
C) i(x)= 2x- 14
D) i(x)= 7x- 4
Answer:
B
Step-by-step explanation:
Given that the function h(x) = 2x-9 is translated up 5 united to become a new function, i(x)
To find: Equation of new function
The graph of a function can be moved up, down, left, or right by adding to or subtracting from the output or the input.
Adding to the output of a function moves the graph up
Therefore,
Given function is:
h(x) = 2x - 9
Translated up by 5 units
Therefore, new function is:
i(x) = h(x) + 5
i(x) = 2x - 9 + 5
i(x) = 2x - 4
Thus Option B is correct
kyley buys a computer game for $38 she uses a coupon to receive 15% off off the price of the game after the coupon is deducted she must pay 6% sales tax what is the total cost?
Answer:
34.58$
Step-by-step explanation:
TO find the answer we must first find 1% of 38$, which would be .38. so now multiply by 15 and 15% of 38 is 5.7$ so now the cost is 32.3$. Now we find the 6% of sales tax. .38 x 6 = 2.28, now add it all together and you get 34.58$
(っ◔◡◔)っ ♥ Hope It Helps ♥
In the Exercises below, find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.
Answer:
8) scale factor: 3
angles Q & L, S & N, r & M
sides 10 x 3 = 30, 6 x 3 = 18, 13 x 3 = 39
9) scale factor: 0.4
angles B & F, C & G, D & H, A & E
sides 9 x 0.4 = 3.6, 7.5 x 0.4 = 3, 10 x 0.4 = 4, 12 x 0.4 = 4.8
The scale factor for part (8) is 3, angles Q & L, S & N, R & M, for part (9) is 0.4 and angles of pair are congruent B & F, C & G, D & H, A & E
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object, known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
8)
Scale factor for the triangle LMN:
Let's suppose the scale factor is x
3x= 30 ⇒ x = 3
6x= 18 ⇒ x = 3
13x=39 ⇒ x = 3
So the scale factor is 3
Angles Q & L, S & N, R & M
39/13 = 30/10 = 18/6 = 3
9)
Scale factor for the triangle LMN:
Let's suppose the scale factor is y
12y= 4.8 ⇒ x = 0.4
9x= 3.6 ⇒ x = 0.4
10x=4 ⇒ x = 0.4
So the scale factor is 0.4
Angles B & F, C & G, D & H, A & E
4.8/12 = 3.6/9 = 4/10 = 0.4
Thus, the scale factor for part (8) is 3, angles Q & L, S & N, R & M, for part (9) is 0.4 and angles of pair are congruent B & F, C & G, D & H, A & E
Learn more about the scale factor here:
brainly.com/question/22312172
#SPJ2
HELP!!! (the correct answer will be marked as brainliest)
The salary of fast food store branch manager is 3 times more than a part time employee salary, $x per day. Working hours for part time employees are half of the manager's working time, y within a month. If they work 26 days in a month, write the formula for the difference in salary, $z between the two workers in terms of x and y.
Isaiah's family took a road trip to Mount Rushmore. Isaiah slept for the last 290 miles of the trip. If the total length of the trip was 500 miles, what percentage of the total trip had they travelled when Isaiah fell asleep?
Answer:
58%
Step-by-step explanation:
We need to find what percent 290 is of 500.
percent = part/whole × 100%
percent = 290/500 × 100%
percent = 58%
Answer: 58%
A general formula for a parabola is x2=4py. What is the value of p in the equation x2=12y? p=3 p=4 p=6 p=12
Answer:
p = 3
Step-by-step explanation:
The given equation of parabola
[tex]x^2 = 12y[/tex]
The standard parabola equation
[tex]x^2 = 4py[/tex]
Now, all we need to do is compare or equate the above two equations to find the value of p
[tex]4py =12y\\p =3[/tex]
Therefore, the value of p = 3 in the equation asked
Answer:
A general formula for a parabola is x2=4py.
What is the value of p in the equation x2=12y?
A) P=3
Hey guys I really need this answer asap (50 points) and branliest ty
Answer and Step-by-step explanation:
The answer is A. 67.5.
We are told the scale factor of a model train is 1 inch to 13.5 feet.
We multiply the 5 inch model car by 13.5 to get the car size.
5 times 13.5 is 67.5.
#teamtrees #PAW (Plant And Water)
Answer:
we have
1 inch :13.5ft
5in:=13.5×5=67.5ft
option A.67.5ft is a required answer.
Which sign should be used in the circle below so that the value of the expression is 2? [4+8×3]÷(16○2)
Answer:
a subtraction sign belongs in the circle
Step-by-step explanation:
[4+8×3]÷(16-2) is:
[(4+24) ÷ 14] = 28/14 = 2
this is for math n i dont get it, help pls :,)
Answer:
Ella ran 7.5 meters in 5 seconds
Step-by-step explanation:
d=1.5t
d=1.5(5)
d=7.5
I need help please answer correctly
Answer:
AC
Step-by-step explanation:
Answer:
AC
Step-by-step explanation:
It will be AC :))
hope this helps
Where to Dig: The dinosaur's
tail bones are at the solution
point to the system of
equations below.
-2x - 7y = -250
4x - y = 140
Every time you click a point
using the CPS, the equations
below will update. Remember
the solution is the point that
makes both equations true.
-2( x ) - 7(y) = 250 X
4(x ) - (y) = 140 X
Answer:
x=41, y=24
Step-by-step explanation:
Given data
We are given the expression
-2x - 7y = -250
4x - y = 140
Multiply eqn 1 by 1 and eqn 2 by 7 and minus we have
-2x - 7y = -250
- 28x-7y= 980
-30x+0= -1230
-30x=-1230
30x=1230
x= 1230/30
x=41
Put x=41 in eqn 1
-2(41) - 7y = -250
-82-7y= -250
-7y= -250+82
-7y=-168
7y=168
y=168/7
y= 24
A soda can has a diameter of 2.5 inches and is 4.8 inches tallFind the surface area of the soda can. Round to the nearest hundredth.
Answer:
a soda can has diameter 2.5 and 4.8 find surface is divides by 1.98
QUICK
is this correct?
ANSWER QUICK What is the area of the triangle? O 15 in 2 0 24 in 2 0 12 in 2 16 in 2
Answer:
this a answer nogufyoias5 oFos
Answer:
I need this answer as well
Step-by-step explanation:
Evaluate the following expression.
Answer:
79
Step-by-step explanation:
3+9
2
−4
1 Simplify {9}^{2}9
2
to 8181.
6\div 3+81-4
6÷3+81−4
2 Simplify 6\div 36÷3 to 22.
2+81-4
Simplify 2+812+81 to 8383.
83-4
Simplify.
79
One function of a movie projector is to enlarge the image on the film. This procedure is an example of a
Answer:
dilation
Step-by-step explanation:
dilation
CAN SONEONE HELP ME WITH THIS, DONT NEED TO SHOW WORK
Answer:
110
Step-by-step explanation:
measure of arc YX is 35 ×2 = 70
Then 180 - 70 =110 is the measure of WX
determine if the sequence is arithmetic or geometric and determine the common difference/ ratio in simplest form
3,12,21
Answer:
Hello ♡
The answer to your question is :
2,12,21 is an arithmetic sequence with a common difference of +9 between each of them .
Step-by-step explanation:
Good luck ^^
Hope this helps u ;)
A corn field has an area of 28.6 acres. It requires about 15,000,000 gallons of water. About how many gallons of water per acre is that?
Answer:
500,000
Step-by-step explanation:
so here's what's up, because it says about we can round 28.6 acres up to about 30. and there is 15,000,000 water every time. its a rather simple question. because all of the water needs to be divided equally, we must divide 15,000,000 by 30. and that makes a total of 500,000. so your answer is 500,000. but be carful because sometimes you must do the opposite.
Answer:
524,475.5 gallons
Step-by-step explanation:
15,000,000 / 28.6 = 524,475.5 gallons
} ?
What is the value of a + bc when a = 7, b = 4, and c = 1/2
Answer:
9
Step-by-step explanation:
7 + (4 x 1/2)
= 7 + 2
= 9
Answer:
9
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
7+(4*1/2)=2+7=9
How many times larger is (5.4×10^6)than (9×10^3)?
Answer:
600 times
Step-by-step explanation:
5400000 ÷ 9000 = 600
Please I Dont Have A Lot of Time
what is the median, mode, mean, and range
Answer:
(Shown below)
Step-by-step explanation:
The Mean, AKA the average is all of the numbers added up, then divided by how many numbers there were. For example, take this data set:
3, 5, 10, 6, 5, 5
We add up all of the numbers:
3 + 5 + 10 + 6 + 1 + 5 + 5 = 35
Now, we divide by how many numbers there were. Since there were 7 numbers, we do:
[tex]\frac{35}{7} = 5[/tex]
Therefore, 5 is our Mean.
Next up, the Median. Median is just the number in the middle of the data set, but we have to put it from least to greatest. Here it is again:
3, 5, 10, 6, 1, 5, 5
1, 3, 5, 5, 5, 6, 10
As you can see, the 5 is in the middle, so it is our Median.
Now the Mode. The Mode is number that occurs most often. Again, it's easier to put the numbers from least to greatest. The data set:
3, 5, 10, 6, 1, 5, 5
1, 3, 5, 5, 5, 6, 10
So, the 5 is the Mode because it occurs thrice, while the other numbers only occur once. Remember the Mode is what the number is, not how many times it repeats.
Lastly, the Range. The Range is just the difference of the largest number to the smallest number. This one also requires to be from least to greatest.
1, 3, 5, 5, 5, 6, 10
10 - 1 = 9
Therefore, the Range of the data set is 9. I hope this helps you!
Kevin, Carl, and Tom played a game.
• Kevin had 4 more points than Carl.
• Tom had 2 fewer points than Carl.
How many more points did Kevin have than Tom?
(HURRY PLS) !
Answer:
6
Step-by-step explanation:
Kevin Has 4 more tom has 2 fewer them added together is 6