In a triangle, the point where the medians intersect, known as the centroid, divides each median into two segments in a 2:1 ratio. In this context, only the measurement of segments 3 and 6 fit this property.
Explanation:The median of a triangle is a segment joining a vertex to the midpoint of the opposite side. In this question, we are considering segments of a median, so we're considering the vertex of the triangle to the centroid (where medians intersect) and from the centroid to the midpoint of the opposite side.
The key property of medians in a triangle is that the centroid, or point of intersection, divides each median into two segments in the ratio 2:1. This means the distance from a vertex to the centroid is twice the distance from the centroid to the midpoint of the opposite side.
From the provided segments, only 3 and 6 fit this principle. This means the distance from the vertex to the centroid is 3 (representing two-thirds of the median) and the distance from the centroid to the midpoint of the opposite side is 6 (representing one-third of the median).
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A share of stock costs $83.60. The next day, the price increases $15.35.
The following day, the price decreases $4.75. What is the final price?
Answer:
Step-by-step explanation: okay do your going to add 83.60 and 15. 35 then subtract 4.75
The final price of the stock is 94.2 dollars.
What is the correct way of simplifying an expression ?The correct way of simplifying an expression is first we will solve what is inside the brackets then we will solve the divisions then we will do the multiplications the we will do the additions and in last we will do the subtractions.
According to the given question
A share of stock costs $83.60. The next day, the price increases $15.35
∴ The price next day is
= (83.60 + 15.35) dollars
= 98.95 dollars.
The following day the price decreases to 4.75 dollars
∴the price of the stock on the following day is
= (98.95 - 4.75) dollars
= 94.2 dollars.
We can also do the following question in this manner also
A share of stock costs 83.60 dollars next day next day it increases by 15.35 dollars and the following day it decreases by 4.75 dollars
∴ The final price is
= ( 83.60 + 15.35 - 4.75) dollars
= 94.2 dollars.
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The sum of two numbers is 138 one number is 20 less than the other find the numbers
Answer:
The answer is 59 & 79
Step-by-step explanation:
59+79=138
79-20=59
59+20=79
Find the values of x in this equation: x-15/x=2
Answer:
The values of x are -3 and 5
Step-by-step explanation:
we have
[tex]x-\frac{15}{x}=2[/tex]
Multiply by x both sides to remove the fraction
[tex]x^{2} -15=2x\\\\x^{2} -2x-15=0[/tex]
The formula to solve a quadratic equation of the form
[tex]ax^{2} +bx+c=0[/tex]
is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]x^{2} -2x-15=0[/tex]
so
[tex]a=1\\b=-2\\c=-15[/tex]
substitute in the formula
[tex]x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-15)}} {2(1)}[/tex]
[tex]x=\frac{2(+/-)\sqrt{64}} {2}[/tex]
[tex]x=\frac{2(+/-)8} {2}[/tex]
[tex]x_1=\frac{2(+)8} {2}=5[/tex]
[tex]x_2=\frac{2(-)8} {2}=-3[/tex]
therefore
The values of x are -3 and 5
Answer:
E.
-3, 5
Step-by-step explanation:
Choose the property of addition that justifies the equation.
(6 + x) + 8 = 6 + (x + 8)
(Choose one)
Answer:
Associative
Step-by-step explanation:
Associative property is the one that says that when 3 or more numbers are summed, the grouping of such numbers has no effect on the result of the sum. It is:
(a + b) + c = a + (b + c) for every a, b and c real numbers.
identify the range of the function
Answer:
(-4, 0)
Step-by-step explanation:
range applies to the y values.
The lowest y value it hits is -4, while the highest is 0.
Therefore, range is (-4, 0)
Northwest molded mold plastic handles which cost 0.20 per handle to mold. The fixed cost to run the molding machine is $ 7396 per week. If the company sells the handles for $4.20 each, how many handles must be molded and sold weekly to break even?
Answer:
1849 handles
Step-by-step explanation:
Break Even is the point when costs = profit
Since each handle takes $0.20 to make (cost) and they sell it for ($4.20), the profit from each handle is:
Profit = 4.20 - 0.20 = $4
The weekly costs are $7396. Break even would mean to gain this amount from selling handles (profit).
So, from each handle, we get $4 and to make $7396, we would need:
7396/4 = 1849 handles
$75 dinner; 18% tip
please help me!
Answer:
88
Step-by-step explanation:
Answer:
$13.50
Step-by-step explanation:
So your total would be $88.50
y equals 3/8 x+ 12 write the equation in standard form using integers
Answer:
-3x + 8y - 96 = 0
Step-by-step explanation:
Standard form is ax + by + c = 0.
Converting from standard to slope-intercept form:
ax + by + c = 0
by = -ax - c
y = -a/b x - c/b
Compare the conversion formula to y = 3/8 x + 12.
In the equation, the slope is 3/8, which is the result of -a/b.
a= -3 and b=8
In the equation, 12 is a result of -c/b.
If b is 8:
-c/b = 12
-c/8 = 12
-c = 96
c = -96
Test a= -3 and b=8 and c= -96 in standard form converts to y=3/8 x+ 12
ax + by + c = 0
-3x + 8y - 96 = 0
-3x + 8y = 96
8y = 3x + 96
y = 3/8 x + 96/8
y = 3/8 x +12
This is correct. Therefore a= -3, b=8 and c= -96.
The standard form is -3x + 8y - 96 = 0
? ÷ 5 = 6 solve an equation
Answer: 30
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
you do 5x6 and that gives you 30 and then to double check your answer you do 5 divided by 30 :)
4.
(5x2)(-4x3)
the 2 and the 3 are exponents
Answer:
-20x⁵Step-by-step explanation:
[tex](5x^2)(-4x^3)=\bigg(5\cdot(-4)\bigg)(x^2x^3)\\\\\text{use}\ a^na^m=a^{n+m}\\\\=-20x^{2+3}=-20x^5[/tex]
how do you re-write 0.7 repeating as a simplified fraction?
Answer:
7/10
Step-by-step explanation:
because .7*10 = 70 and it would be 70/100 so you simplify it to 7/10
Answer:
[tex]\frac{7}{9}[/tex]
Step-by-step explanation:
Given
0.77......
We require 2 equations with the repeating part after the decimal point.
let x = 0.77.... (1) ← multiply both sides by 10
10x = 7.77.... (2)
Subtract (1) from (2) thus eliminating the repeating decimal
9x = 7 ( divide both sides by 9 )
x = [tex]\frac{7}{9}[/tex]
5. Mike weighs 200 pounds and plans to
lose 1.5 pounds a week. Jeff weighs 180
pounds and plans to lose 0.5 pounds a
week. When will Mike and Jeff weigh the
same?
Answer:
20 weeks
Step-by-step explanation:
200-1.5x=180-.5x
20=1x
X=20
You are buying six notebooks that total $10.94. There is a 5% sales tax. What is the total amount of your purchase?
Answer:
Step-by-step explanation:
5%= 0.05
10.94x0.05= 0.547
10.94+0.547= 11.487
Round to hundredths place (cents go two decimal places)
=11.49
Evaluate [tex]\frac{d}{2}[/tex] + [tex]\frac{c}{3}[/tex] for c = 6 and d = 10.
A. 6
B. [tex]\frac{16}{5}[/tex]
C. 7
D. 10
Answer:
C) 7
Step-by-step explanation:
10/2=5
6/3=2
---------
5+2=7
A group of 4 friends shares 2 packs of gum equally. There are 8 pieces of gum in
each pack. Which set of equations shows how many pieces of gum, g, each
friend receives?
2 x 8 = 16
16 x 4 = g
2 x 8 = 16
16 : 4 = g
4 x 2 = 8
8:8=g
4 x 2 = 8
8 x 8 = g
Done →
Answer:
Each friend receives 4 pieces of gum. The answer is B).
Step-by-step explanation:
2 packs of gum=2*8=16 pieces of gum in total,
16/4=4
The correct answer is 4 gums
⇒each pack of gums contains 8 gums.
⇒there are 2 packs of gums
⇒total number of gums is 8×2=16
∴ each friend receives [tex]\frac{16}{4}[/tex]=4
so; g=4
What is the formula of the unitary method?
The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit by the number of units to get the necessary value
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how can I find the slope of a negative slope
Step-by-step explanation: To find the slope of a line with a negative slope, we would use the ratio rise/run between any two points that are on that line.
Let's look at an example which I have provided in the image attached. I have labeled two points which are points A and B.
Notice however that to get from point A to point B, we must first go down 3 units so we say that our rise is -3. From there we move 4 units to the right so our run is 4. So our slope or rise over run is -3/4.
Can anyone help me solve this Algebra 2 Problem, i literally cant figure it out
Answer:
Zeros : 1 , -1, 3
Degree : 4
End Behaviour : At x-> ∞ f(x) -> ∞ and x->-∞ f(x) -> ∞
Y - intercept : -3
Extra Points: (0,-3), (2,-3)
Step-by-step explanation:
f(x) = 0 to find the zeros
[tex]Therefore (x+1)(x-1)^{2} (x-3) = 0[/tex]
Clearly x = -1,1,3
Here 1 is a repeating root as it is (x-1)²
Degree is highest power of x in f(x)
Clearly it is x*x²*x = x⁴ is the maximum power of x
Thus degree is 4
Looking at end behavior we substitute x->∞ and x-> -∞
Clearly f(x)>0 as all terms are positive and f(x)->∞
Similarly when x->-∞
f(x)>0 as 2 terms are -ve and their product is positive thus f(x)-> ∞
Y-Intercept is f(0)
f(0) = (0+1)(0-1)²(0-3) = 1*1*-3 = -3
Thus Y-Intercept is -3
Substitute x = 0 , 2 for extra points
Thus f(0) = -3
and f(2) = -3
Thus points on the graph (0,-3), (0,2)
We can use all this information to draw a graph remember that 1 is a repeating root so that will be a point of minima. The graph is a parabola that passes through x-axis at x = -1, 3.
Factor completely x2 - 16y2
Answer:
(x+4y)(x-4y)
Step-by-step explanation:
Since
[tex]\large a^2-b^2=(a+b)(a-b)[/tex]
we can see that
[tex]\large x^2-16y^2=(x+4y)(x-4y)[/tex]
2 sin^2 theta + 3 cos theta = 3
Answer:
θ = ±π/3 + 2kπ
θ = 0 + 2kπ
Step-by-step explanation:
2 sin² θ + 3 cos θ = 3
Use Pythagorean identity:
2 (1 − cos² θ) + 3 cos θ = 3
2 − 2 cos² θ + 3 cos θ = 3
0 = 2 cos² θ − 3 cos θ + 1
Factor:
0 = (2 cos θ − 1) (cos θ − 1)
cos θ = 1/2
θ = ±π/3 + 2kπ
cos θ = 1
θ = 0 + 2kπ
ASAP! A biologist is to set up an aquarium in his laboratory. He intends to buy 11 piranhas and 5 sharks. He has a budget of £200. If p represents one piranhas and s one shark, write down an equation for the price of one piranhas in terms of the price of sharks.
Answer:
[tex]p=\frac{200-5s}{11}[/tex]
Step-by-step explanation:
Let
p ---> the price of one piranhas
s ---> the price of one shark
we know that
The price of one piranhas multiplied by 11 plus the price of one shark multiplied by 5 must be equal to the budget of £200
so
The linear equation that represent this situation is
[tex]11p+5s=200[/tex]
Solve for p
That means ----> isolate the variable p
subtract 5s both sides
[tex]11p=200-5s[/tex]
Divide by 11 both sides
[tex]p=\frac{200-5s}{11}[/tex]
Identify the standard form of a circle equation x^2+2x+y^2-2y=2
Answer:
The standard from of the expression is: [tex](x +1)^2 + (y-1)^2 = (2)^2[/tex]
Step-by-step explanation:
Here the given expression is :
[tex]x^2+2x+y^2-2y=2[/tex]
Now, the standard form of a circle is given as :
[tex](x-h)^2 + (y -k)^2 = r^2[/tex]
Here, (h,k) = Coordinates of Center, r = Radius
Also, use the algebraic identity:
[tex](a \pm b)^2 = a^2 + b^2 \pm 2ab\\[/tex]
Now, converting the given expression in the standard form, we get:
[tex]x^2+2x+y^2-2y=2[/tex]
Add 2 on both sides of the equation, we get:
[tex]x^2+2x+y^2-2y +2=2 + 2\\\implies x^2+2x + 1 + y^2-2y + 1 = 4\\\implies (x^2+2x + 1 )+ (y^2-2y + 1) = 4\\\implies (x +1)^2 + (y-1)^2 = (2)^2[/tex]
So, here the standard from of the expression is:
[tex](x +1)^2 + (y-1)^2 = (2)^2[/tex]
Center coordinates here are (h,k) = ( -1 ,1) and Radius = 2 units
Maria says if I multiply the current temperature by 4 and then subtract 40 the results is the same as 3 times the current temperature Richard says the current temperature is 20 degrees is Richard correct
Answer:
No, Richard is incorrect, the current temperature is 40 degrees.
Step-by-step explanation:
4x-40=3x
4x-3x=40
x=40
Which set of ordered pairs is a function?
A. (1,2) (3,4) (5,6) (3,-4)
B. (8,4) (4,3) (2,2) (8,1)
C. (2,5) (3,10) (4,15) (5,20)
D. (2,4) (2,3) (2,1) (2,0)
Answer:
OPTION C
Step-by-step explanation:
An element in the domain should be mapped to exactly one element on the co-domain. Also, every element in the domain should be mapped to an element in the co-domain.
These two conditions are satisfied to call a relation, a function.
Two different elements in the domain can be mapped to the same element in the co-domain. But the same element in the domain cannot be mapped to two different elements in the co-domain.
A) (1,2), (3,4), (5,6), (3,-4)
Here, the element '3' is mapped to 4 and -4. So, this is not a function.
B) (8,4), (4,3), (2,2), (8,1)
'8' is mapped to 4 and 1. So, it is not a function.
C) (2,5), (3,10), (4,15), (5,20)
All the elements in the domain are mapped to an element in the co-domain. Also, every element in the domain has exactly one image in the co-domain. So, this relation is a function.
D) (2,4), (2,3), (2,1), (2,0)
The element '2' has more than one image. Clearly, it contradicts the definition of a function.
So, only OPTION C is the answer.
HELP!!!!!
Drag each expression to show whether the product is less than 1, equal to 1, or
greater than 1
Answer:
2X2/5 is less than 1
6X 1/5 is more than 1
4 X 1/4 is equal to 1
8 X 2/5 is more than 1
4 X 2/9 is less than 1
5 X1/4 is more than 1
Step-by-step explanation:
Answer:
Expressions less than 1
2×2/5, 4×2/9
Expressions that are equal to 1
4×1/4
Expressions that are greater than 1
6×1/5, 8×2/5, 5×1/4
Step-by-step explanation:
Given the first expression
2×2/5
= 4/5
= 0.8<1
0.8 is less than 1
- for the expression 6× 1/5
6×1/5
= 6/5
= 1.2>1
1.2 is greater than 1
- for the expression 4×1/4
= 4/4
= 1
This expression is equal to 1
- For 8×2/5
= 16/5
= 3 1/5
= 3.2>1
3.2 is greater than 1
- For the expression
4×2/9
= 8/9
= 0.89<1
0.89 is less than 1
- For the expression 5×1/4
= 5/4
= 1.25>1
1.25 is greater than 1
What is 3 divided by 6.3
Answer:
3/6.3=0.476190
Step-by-step explanation:
Answer:
.47 or 10/21
Step-by-step explanation:
3/6.3 = 10/21 or .47
4/7 = 7/x solve for x
Answer:
x=49/4
Step-by-step explanation:
4/7=7/x
cross product
7*7=4*x
49=4x
x=49/4
is it possible for a figure to have 90° rotational symmetry but not 180° rotational symmetry.
Answer:
Well, It is but not because..rotation symmetry, and a square has -turn (or 90-degree) rotation symmetry. As you may have already observed, many figures have 180-degree rotation symmetry but no other rotation symmetry. A figure has 180-degree rotation symmetry if it looks the same when turned halfway around...Soo yeah..I think I am right, So sorry if I'm wrong.
Step-by-step explanation:
Yes, a figure can have 90° rotational symmetry but not 180° rotational symmetry.
Explanation:Yes, it is possible for a figure to have 90° rotational symmetry but not 180° rotational symmetry. To understand this, think about the number '6'. If you rotate it 90° clockwise, it looks exactly the same, but if you rotate it 180°, it becomes '9'. So, the figure has 90° rotational symmetry but not 180° rotational symmetry.
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9.85×s;s=4 how do i solve this step by step
Answer:
39.40
Step-by-step explanation:
5 × 4 = 20 so you put down the 0 and carry the 2, 8 × 4 = 32 + 2 = 34 so you put down the 4 and carry 3, 9 × 4 = 36 + 3 = 39 so you put down 39. Don't forget to put the decimal place 2 spaces away from the answer. So you get 39.40.
The drawing can also help.
The cloth top of the gazebo in Mr. Chang’s backyard has ripped from weathering. He needs to know the area of the cloth so he can replace it.
How much cloth, in square feet, will Mr. Chang need, assuming he does not need to replace the cloth at the bottom of the figure?
60
96
120
156
Answer:
The correct answer is A. 60 square feet.
Step-by-step explanation:
1. Let's review the data provided to us for solving the question:
The gazebo in Mr. Chang's backyard, according to the figure, is a square pyramid because its base is a square of 6 feet as length of its sides.
Length of the sides of the base = 6 feet
Slant length = 5 feet
Height = 4 feet
2. How much cloth, in square feet, will Mr. Chang need, assuming he does not need to replace the cloth at the bottom of the figure?
Area of a square pyramid = Base area + 1/2 Perimeter * Slant length
Replacing with the real values, we have:
Area of a square pyramid = 6 * 6 + 1/2 (6 + 6 + 6 + 6) * 5
Area of a square pyramid = 36 + 1/2 (24) * 5
Area of a square pyramid = 36 + 12 * 5
Area of a square pyramid = 36 + 60
Area of a square pyramid = 96 feet ²
3. But remember than Mr. Chang doesn't need to replace the cloth at the bottom of the gazebo.
So we need to subtract the area of the base to the area of the square pyramid:
Area of the square pyramid - area of the base
Area of the base = 6 * 6 = 36 feet ²
96 feet ² - 36 feet ² = 60 feet ²
The correct answer is A. 60 square feet.
Answer:
60
Step-by-step explanation:
e d g e n u I t y
Challenger Elementary School has 800 students. Every Wednesday, 12 percent of the students stay after school for Chess Club. How many students attend Chess Club on Wednesdays?
Answer: help me on my question
Step-by-step explanation:write the answer then submit it and thanks tou