Given:
In triangle XYZ, P is the centroid of triangle XYZ, YP = 8, QP = 5, YZ = 10.
To find:
The measure of median YS.
Solution:
We know that a centroid divides a median in 2:1.
P is the centroid and YS is the median. So,
[tex]YP:PS=2:1[/tex]
Let the measure of YP and PS are 2x and x.
It is given that the measure of YP is 8.
[tex]2x=8[/tex]
[tex]x=\dfrac{8}{2}[/tex]
[tex]x=4[/tex]
[tex]PS=4[/tex]
Now, the measure of YS is:
[tex]YS=YP+PS[/tex]
[tex]YS=8+4[/tex]
[tex]YS=12[/tex]
The measure of median YS is 12 units. Therefore, the correct option is (a).
PLS HELP GIVING BRAINLIEST FOR THE CORRECT ANSWER (NEEDS ANSWER IN 5 MINUTES OR ELSE NO BRAINLIEST)
What is the last digit of the sum of 11+21+31+...+991?
Answer:
9
Step-by-step explanation:
99/2 × (11+991) = 49,599
Determine the value of x in the given figure help
Answer:
x = 25
Step-by-step explanation:
The angles in a triangle must add up to 180 degrees, so:
180 - (53 + 27) = 100
100 ÷ 4 = 25
The factors of the quadratic function g(x) are (5x – 1) and (x + 4). What are the solutions to the equation g(x) = 0?
Answer:
The solutions to the equation are [tex]x = \frac{1}{5}[/tex] and [tex]x = -4[/tex]
Step-by-step explanation:
The factors of the quadratic function g(x) are (5x – 1) and (x + 4).
This means that:
[tex]g(x) = 0[/tex]
[tex](5x - 1)(x + 4) = 0[/tex]
So
[tex]5x - 1 = 0[/tex]
[tex]5x = 1[/tex]
[tex]x = \frac{1}{5}[/tex]
And
[tex]x + 4 = 0[/tex]
[tex]x = -4[/tex]
The solutions to the equation are [tex]x = \frac{1}{5}[/tex] and [tex]x = -4[/tex]
Please help me with the correct answer
Solve (x - 3)^2=5
Answer:
It's B.
Step-by-step explanation:
Evaluate the equation
83.49 = 3.3x
How did you get your answer?
Answer:
x = 25.3
Step-by-step explanation:
83.49 = 3.3x
divide both sides by 3.3
x = 25.3
Calculate the difference between the two times.
alarm clock number 1
8: 15 am. or pm
alarm clock number 2
3: 30 am or pm.
if u want to spam the answer then I will report u
Answer:
7 hours and 15 minutes
Step-by-step explanation:
8:15 to 3:15 is 7 hrs then just add the remaining 15 minutes to get to 3:30.
what is the average rate of change?
Answer:
D
Step-by-step explanation:
In the figure QRST, point Q has coordinates Q(-3,-5). If you translate the figure
1 unit left and 6 units up, what are the coordinates of the translated point Q!?
Answer: (-4,1)
Step-by-step explanation:
(-3 - 1, -5 + 6)= (-4,1)
Find the kinetic energy of a 0.145-kg baseball that is thrown at a speed of 40 meters per second.
Answer:
Step-by-step explanation:
You can use the general expression as:
K = 1/2mv²
With your data:
K = 1/2(0.145)(40)²=
The roof of a gazebo is a regular octagonal pyramid. If the base of the pyramid has sides of 0.5 meters and the slant height of the roof is 1.9 meters, find the area of the roof. (roof is lateral surface area)
Answer:
The area of the roof is 3.80 m².
Step-by-step explanation:
The lateral surface area of an octagonal pyramid is given by:
[tex]A = 2s(\sqrt{4h^{2} + 5.828s^{2}})[/tex] (1)
Where:
s: is the length of the base edge = 0.5 m
h: is the height
We can find the height from the slant height (S = 1.9 m):
[tex] S = \sqrt{h^{2} + 1.457s^{2}} [/tex] (2)
By solving equation (2) for "h" we have:
[tex] h = \sqrt{S^{2} - 1.457s^{2}} = \sqrt{(1.9)^{2} - 1.457(0.5)^{2}} = 1.80 m [/tex]
Now, we can calculate the area of the roof (equation 1):
[tex]A = 2s(\sqrt{4h^{2} + 5.828s^{2}}) = 2*0.5(\sqrt{4(1.80)^{2} + 5.828(0.5)^{2}}) = 3.80 m^{2}[/tex]
Therefore, the area of the roof is 3.80 m².
I hope it helps you!
Sorry to bug ya'll but I don't get this..can you help me?
Answer:
3q + q + 12 OR 4q + 12
q = 8
Step-by-step explanation:
What is the difference between the area of the larger circle in the area of the smaller circle leave your answer in terms of pi
Answer:
Area= π(R^2-r^2)
Step-by-step explanation:
Although I can't find the attached file
Let the radius of the large circle be R
And the radius of the small circle be r
Area of large circle is
Area= πR^2
Area of small circle is
Area= πr^2
The difference is
Area= πR^2- πr^2
Area= π(R^2-r^2)
The plans of a building are drawn to a scale of 1 : 150.
(a) Find the actual length, in metres, represented by 42 cm on the plan. [1]
(b) The actual length of the diagonal of a hall is 33 m. Find its length, in cm, on the plane
Kindly send the calculations too
(a).
i hope it's help thanks
1. The points ( − 4, − 4), ( − 4, 4), (4, 4), and (4, − 4) form a square on a coordinate plane. How long is a side length of the square
Answer:
Length of one side is 8 units
Step-by-step explanation:
Given
The centre of this square is positioned at the origin as visible form the four co-ordinates
All the four co-ordinates are such that they are 4 units along the x-axis and 4 units along the y-axis.
Let us take the following two co-ordinates - (4,4),(4,−4). The X value for these two co-ordinate points is 4 and the Y values are such that one point has y = 4 and the other has y = -4 i.e 8 units in between.
Thus, length of one side is 8 units.
please help im very very desperate
Answer:
Exponential
Step-by-step explanation:
If it were quadratic, y-axis would fall and rise in points, so its not quadratic.
If it were linear, it would have a pattern with a rise/over formula, and it doesn't go in a pattern, so the only answer left is: Exponential.
Answer:
Exponential
Hope this helps!
Ok so i have graphed these values and this is the graph i got which appears to be exponential:
Which of the following is a unit for area?
◦ m 3
◦ inches
◦ feet
◦ cm 2
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
✏ cm²⋆┈┈。゚❃ུ۪❀ུ۪❁ུ۪❃ུ۪❀゚ུ۪。┈┈⋆
[tex] \sf \: The \: unit \: used \: for \: area \: is \hookrightarrow \boxed{ \bf \: {cm}^{2} }[/tex]
Find the unit rate in the following scenarios, and explain how you solved.
1. In 6 days, the temperature dropped 18 degrees. How many degrees per day did the temperature drop?
no links<3
Answer:
3 degress per day
Step-by-step explanation:
18/6=3 sorry for the bad spelling
What is linear equation???
Answer:
an equation between two variables that gives a straight line when plotted on a graph. In mathematics, a linear equation is an equation that may be put in the form {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}+b=0, } where x_{1}, \ldots, x_{n} are the variables, and {\displaystyle b, a_{1}, \ldots, a_{n}} are the coefficients, which are often real numbers.
The sales tax rate on a new vehicle is 6% if the vehicle is 8,000 then how much will be charged for sales tax
Answer:
The tax on the car equals $480, based on a 6% rate.
Step-by-step explanation:
Giving the following information:
Tax rate (t)= 6% = 0.06
Purchase price= $8,000
To calculate the tax (T), we need to use the following formula:
Tax= tax rate*purchase price
Tax= 0.06*8,000
Tax= $480
The tax on the car equals $480, based on a 6% rate.
If one side of a regular pentagon is represented by 3x + 1 , what is the perimeter of the pentagon?
Answer:
5(3x+1) or 15x+5
Step-by-step explanation:
A regular pentagon has 5 sides of equal length. The perimeter is the sum of the lengths of those sides. We can use multiplication to find the sum of 5 of the same value:
P = 5(3x +1)
Perhaps you want it expanded. Using the distributive property, we multiply each term in parentheses by 5:
P = 15x + 5
Can you help me Round this ??
Answer:
It is 0.67
If the number after the number you want to round is bigger than 5 then the number would be added with 1
A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours?
plz help
Answer:
133 windows in 7 hours
Step-by-step explanation:
38 divided by 2 and you get 19
19 x 7 = 133
Answer:
133 windows
Step-by-step explanation:
First, you would want to find how many windows he can clean in 1 hour.
You know that 38 windows = 2 hours.
To do this, divide both sides by 2 (to get 1 hour). You will get 19 windows = 1 hour.
Now to find 7 hours, multiply both sides of 19 windows = 1 hour by 7 (to get 7 hours). You will get 133 windows cleaned in 7 hours.
5.5555 pounded to the nearest
hundredth
IS
Answer:
5.55000
Step-by-step explanation:
i think
Answer:
5.56
Number:
5.555
Nearest:
Hundredths (2 decimals)
Mode: Round
=5.56
The size of a cell is typically found by capturing an image under a microscope then
using software to measure its diameter. Two cells are measured using this method:
Cell M: 7.65 x 10-3 centimeters
Cell N: 9.1 x 10-4 centimeters
What's the difference between the diameters of the two cells? Express your answer
using scientific notation.
Answer:
The difference is 6.74 * 10^-3 centimeters
Step-by-step explanation:
Firstly, we need to write the numbers as they would occur normally
we have this as;
7.65 * 10^-3 = 0.00765
9.1 * 10^-4 = 0.00091
So by subtracting, we have it that we subtract the value of the diameter of the cell N from that of the cell M since it is a bigger number
we have this as;
0.00765 - 0.00091 = 0.00674 and in scientific form is 6.74 * 10^-3 centimeters
what's your answer????/????????/////??
Answer:
Top right
Step-by-step explanation:
The two sides are parallel to each other. :)
A picture that measures 7 inches
by 7 inches is being framed.
The area of the picture with
frame is 81 square inches.
What is the width of the frame?
Answer:
The width of the frame is 2 inches
Step-by-step explanation:
The given dimensions of the picture = 7 inches by 7 inches
The area of the picture, A₁ = 7 in. × 7 in. = 49 in.²
The area of the given picture and the frame, A₂ = 81 square inches
Let 'w' represent the width of the frame and whereby the picture is a square, we have;
The area of the picture with the frame, A₂ = 81 in.² = (7 + w) × (7 + w)
A₂ = 81 = (7 + w) × (7 + w) = 49 + 14·w + w²
49 + 14·w + w² - 81 = 0
w² + 14·w - 32 = 0
(x + 16)·(x - 2) = 0
∴ x = -16 or x = 2
Given that 'x' is a natural number, we have;
The width of the frame, x = 2 inches.
Anyone know how to do this
Answer:
c or a
Step-by-step explanation:
Answer:
A(-3,-1)-----A'(-1,2)
B(2,1)------B'(4,4)
here
x is increased by -1--3=2
and
y is increased by2--1= 3
so
A.(x',y')=(x+2,y+3)
In what quadrant is the point (-7, -16)?
Help!!!!!
Answer:
Those points are in Quadrant 3
solve 6-2x=3
(bensjdkmenskkw)
Answer:
answer: 4.5
Step-by-step explanation:
2x=3+6
2x=9
x=9/2
x=4.5
Answer:
x= [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
6-2x=3
-2x=3-6
-2x=-3
x= [tex]-3/-2[/tex]
x= 3/2 or 1.5
Scott works on cars. He charges $35 for each car plus $13 per hour. Yesterday he worked for 5 hours on 3 different cars. How much money did he make?
Answer:
170
Step-by-step explanation:
35 x 3cars= 105 13 x 5hours= 65 105+65= $170