Given:
Vertices of a triangle are D(0,5), E(2,0) and F(-4,2).
To find:
The intersection point of medians DG and EH.
Solution:
We know that, intersection point of all the medians of a triangle is called centroid.
The formula of centroid is
[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]
Vertices of a triangle are D(0,5), E(2,0) and F(-4,2). So, the centroid of the triangle is
[tex]Centroid=\left(\dfrac{0+2+(-4)}{3},\dfrac{5+0+2}{3}\right)[/tex]
[tex]Centroid=\left(\dfrac{-2}{3},\dfrac{7}{3}\right)[/tex]
[tex]Centroid=\left(-0.666...,2.333\right)[/tex]
Round each coordinate to the nearest tenth.
[tex]Centroid=\left(-0.7,2.3\right)[/tex]
Therefore, the correct option is C.
how to find the trigonometric ratio
Answer:
tanZ° = 3/4
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Identify Variables
Angle θ = Z
Opposite Leg XY = 21
Adjacent Leg YZ = 28
Step 2: Find Trig Ratio
Substitute [tangent]: tanZ° = 21/28Simplify: tanZ° = 3/4Where to finds test answers on mathspace before you do the test?
Step-by-step explanation:
You can use web browser to type your answer into mathspace. The following browsers supports mathspace.
Chrome, MacOS safari, Microsoft edge .
can you help me the first person will get brainliest
Answer:
put the equations in tiger math
Step-by-step explanation:
Andy found these used cars prices in the newspaper.
Answer:
11,000
Step-by-step explanation:
Average or Mean= sum of goods/ total number of goods
Average= 6,000+12,000+20,000+8,000+9,000/5
= 55,000/5
= 11,000
49x + 9 = 49x + 83
PLEASE quickkkk i need a specific explanation on how to do this
Answer:
Step-by-step explanation:
49x + 9 = 49x +83
-49x -9
---------------------------
74
Using differentials, the approximate change in the value of f(x) = x2 + 4x - 1 as x changes from 3 to 3.1 is
O 0.1.
O 1.
O 10.
O 100
The approximate change in the value of the function will be 10. Then the correct option is C.
What is the average rate change of a function?It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The function is given below.
f(x) = x² + 4x - 1
The average rate is calculated as,
Average rate = [f(3.1) - f(3)] / [3.1 - 3]
Average rate = [(3.1² + 4(3.1) - 1) - (3² + 4(3) - 1)] / 0.1
Average rate = (21.01 - 20) / (0.10)
Average rate = 1.01 / 0.10
Average rate = 10.1
Average rate ≈ 10
The approximate change in the value of the function will be 10. Then the correct option is C.
More about the average rate change of a function link is given below.
https://brainly.com/question/23715190
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What is the slope of the linear equation y=x+10
a. Slope=m=10
b. Slope=m=1
c. Slope=m=5
d. Slope=m=11
Answer:
slope = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 10 ← is in slope- intercept form
with slope m = 1
can someone anyone please help me asap
Answer:
the answer is option : D
Step-by-step explanation:
multiply 9 with the given hrs to find the correct one
Number Lines
F is between E and G. EF= 9 and FG= 11. what is the length of EG?
Answer:
20
Step-by-step explanation:
EG = EF + FG
Its given in the question that -
• EF = 9
• FG = 11
So,
EG = 9 + 11 = 20
8h + (-6.7d) - 15+ 4d-2.6h.
Answer:
5.4h-2.7d-15
Step-by-step explanation:
8h minus 6.7d minus 15 plus 4d minus 2.6h
using the knowledge or principle of algebra
5.4h minus 2.7d minus 15
find the probability that a number chosen at random from the integers between 5 and 16 inclusive is a multiple of 3 or a mutiple of 2
Answer: Numbers between 5 and 16 are:-
6, 7, 8, 9, 10, 11, 12, 13, 14 , 15 and 16.
Therefore, total number of outcomes =11
Numbers inclusive between 5 and 16 which are divisible by 2 or 3 are-
6 , 8, 9 ,10 ,12, 14 and 15.
Number of favourable outcomes = 7
Therefore, probability of getting a number which is either a multiple of 2 or 3 is:
p(e) = \frac{7}{11}p(e)=
11
7
HENCE, THE REQUIRED PROBABILITY IS = 7 / 11.
Step-by-step explanation: does this help?
A plane can travel 640 miles against the wind in the same time it can travel 800 miles with the wind. If the plane can fly 180 mph in calm air, what is the speed of the wind? If x represents the speed of the wind, which expression represents the time it takes for the plane to travel the 640 miles against the wind?
1. 640/x
2. 640/(x+180)
3. 640/(180-x)
3. Abdoul has $100 in his bank account and he adds $50 each month.
Answer:
$600
Step-by-step explanation:
Multiply 50, 12 times, you get 600. Add 100, and you get 700.
Answer is $700
There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles! HELP
Answer:
8 kilometers
Step-by-step explanation:
Since 5 is half of 10, then do 16/2 to find how many kilometers.
Answer:
8
Step-by-step explanation:
16 kilometres in 10 miles (divide by 10 to find 1)
1.6km 1 mile
8(times1.6 by 5) 5 miles
please mark as brainliest!!!
A 25 foot ladder leans against a house. How far
is the foot of the ladder from base of the building
if the top of the ladder is 20 feet from the ground?
A. 20 ft
B. 15 ft
C. 18 ft
D. 10 ft
Answer:
x=15
Step-by-step explanation:
this is the choices
88
70
110
120
Answer:
110
Step-by-step explanation:
Y and X have to equal 180
70+x+180
=110
i need help now its due right now can anyone help me
Answer:
(2,-3)
Step-by-step explanation:
I thought you'd actually have to calculate it but I guess they just wanted to give you guys a graph lol
Can somebody plz help solve for each question what x =?(only if u know how to do it) thanks :)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD!!
Answer:
7)x=11
8)x=16
9)n=12
10)m=13
11)n=8
12)m=3
Step-by-step explanation:
Answer:
7= 11. 8=16. 9=12. 10=13 11=8. 12=3
Step-by-step explanation:
7= 9+2=11
8=12+4=16
9=9+3=12
10=8+5=14
11=7+1=8
12=3+0=3
Fill in the blanks needs to be done by 9:30!!
Answer:
1. Straight line
2. mx+b
3. slope , y intercept
4. dont know sorry
Step-by-step explanation:
Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relationship between Wilson's age (w) and Mary's age (m):
w = m + 6
w = 5m − 10
Which is a possible correct method to find Wilson's and Mary's ages?
Solve w + 6 = 5w − 10 to find the value of w.
Write the points where the graphs of the equations intersect the x axis.
Solve m + 6 = 5m − 10 to find the value of m.
Write the points where the graphs of the equations intersect the y axis.
Answer:
no 4=f
Step-by-step explanation:
dwfn sdv and it appers to be marys age ;)
think before you do something rude
Answer:
C. Solve m + 6 = 5m - 10
Step-by-step explanation:
Wilson is 6 years older than Mary.
(MARY's age + 6 = WILSON's age)
Wilson's age is 10 years less than five times Mary's age.
(MARY's age * 5 - 10years = WILSON's age)
(Mary is 4 years old and Wilson is 10:
4 + 6 = 10
4(5) = 20 - 10 = 10
just in case you were curious)
Good luck!!
To the nearest millimeter, a cell phone is 135 mm long and 51 mm wide. What is the ratio of the width to the length?
Answer:
51:135
common factor is 3
51/3 = 17
135/3 = 45
17:45
1.) Which of the following is closest to 1?
A.
B.
9
10
C.
D. 98%
99
E.
100
8
Answer:
Step-by-step explanation:
98% it is the only percent and it is close to one
3 balloon + 2 cakes = £19
9 balloon + 3 cakes = £42
work out:
1 balloon in £
1 cake in £
Step-by-step explanation:
3 balloons + 2 cakes = £19
=> 9 balloons + 6 cakes = £57 (multiply by 3)
9 balloons + 6 cakes = £57
- (9 balloons + 3 cakes = £42)
=> 3 cakes = £15, 1 cake = £5.
Therefore 3 balloons + 2(£5) = £19,
3 balloons = £9, 1 balloon = £3.
Hence each balloon is £3 and each cake is £5.
HElP MEh PleZ
A scuba diver descends below the surface of a lake at a rate of 12 feet per minute. What integer represents the depth of the diver after 4 minutes?
Since this scuba diver descends below the surface of a lake at a rate of 12 feet per minute, an integer which represents the depth of the diver after four (4) minutes is 48 feet.
What is the rate of change?The rate of change can be defined as a type of function that describes the average rate at which a quantity decreases or increases with respect to another quantity.
Mathematically, the rate of change for the depth covered by this scuba can be calculated by using this formula;
Rate of change = Depth/time
Making depth the subject of formula, we have:
Depth = Rate of change × time
Substituting the given parameters into the formula, we have;
Depth = 12 × 4
Depth = 48 feet.
Read more on rate of change here: brainly.com/question/15648128
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How many solutions are there to the following equation?
5 ( x-3 ) - 3x = 8x - 15 - 6x
A) exactly two solutions
B) exactly one solution
C) no solution
D) infinitely many solutions
Answer:
D) infinitely many solutions
Step-by-step explanation:
5 ( x-3 ) - 3x = 8x - 15 - 6x
5x - 3x - 15 = 8x - 6x - 15
2x - 15 = 2x - 15
2x = 2x
Since, equations of both lines are same. Therefore, there are infinitely many solutions.
Answer:
D
Step-by-step explanation:
Given
5(x - 3) - 3x = 8x - 15 - 6x
5x - 15 - 3x = 2x - 15
2x - 15 = 2x - 15
Since both sides are the same then any real value of x will be a solution.
That is there are infinitely many solutions
A jar contains 21 marbles: 8 white, 3 green, and 10 red. Write the described ratio in simplest form.
A. number of white marbles to number of green marbles.
Answer:
The question you posted was a bit confusing for me, but I'm assuming that you want the simplified ratio of the number of white marbles to the number of green marbles.
The answer would be 8:3.
Step-by-step explanation:
There are 8 white marbles and 3 green marbles, so you get 8:3. And since 8 and 3 are relatively prime, no simplifying is needed.
The answer is 8:3.
Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer: c
Step-by-step explanation: a parrelagram has each side parrel
Answer:
B. - it has four right angles
Last month, a car dealer sold 50 cars. This month, 60 cars were sold. Find the percent increase in sales.
Answer:
the sale is an increase of 10 cars. 10 is 20% of 50 so therefore the dealer had an increase of 20% in sales.
Here is a set of signed numbers: 7, -3, LaTeX: \frac{1}{2}1 2, -0.8, 0.8, LaTeX: -\frac{1}{10}− 1 10, -2 Order the numbers from least to greatest. Group of answer choices 7, 0.8, 1/2, -1/10, -0.8, -2, -3 -3, -2, -0.8, -1/10, 1/2, 0.8, 7 -1/10, 1/2, -0.8, 0.8, -2, -3, 7
Answer:
[tex]-3, -2, -0.8, -\frac{1}{10} ,\frac{1}{2}, 0.8, 7[/tex]
Step-by-step explanation:
Given
[tex]7, -3, \frac{1}{2}, -0.8, 0.8, -\frac{1}{10}, -2[/tex]
Required
Order from least to greatest
[tex]7, -3, \frac{1}{2}, -0.8, 0.8, -\frac{1}{10}, -2[/tex]
Convert 1/2 and -1/10 to decimals
[tex]7, -3, 0.5, -0.8, 0.8, -0.1, -2[/tex]
Negative numbers are always the least of all numbers.
In the given list, the negative numbers are:
[tex]-3, -0.8, -0.1, -2[/tex]
The higher the magnitude of a negative number, the smaller it is.
--------------------------------------------------------------------------------------------
Take for instance: -7 and -8.
-8 has a magnitude of 8 and -7 has a magnitude of 7.
Because 8 > 7 (the magnitudes), then
-8 < -7
--------------------------------------------------------------------------------------------
Using the above analysis:
[tex]-3, -0.8, -0.1, -2[/tex] from least to greatest is:
[tex]-3, -2, -0.8, -0.1[/tex]
Considering the positive numbers:
[tex]7, 0.5, 0.8[/tex]
From least to greatest, it is:
[tex]0.5, 0.8, 7[/tex]
Merge the negative and the positive numbers:
[tex]-3, -2, -0.8, -0.1,0.5, 0.8, 7[/tex]
Convert 0.5 and -0.1 back to fractions
[tex]-3, -2, -0.8, -\frac{1}{10} ,\frac{1}{2}, 0.8, 7[/tex]
Need a little help here.
Answer:
sorry i will answer if you make me branlyist
Step-by-step explanation:
