Given:
Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).
To find:
The intersection point of all the medians of the triangle ABC.
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 ABC are A(-3,0), B(3,0) and C(0,4).
[tex]Centroid=\left(\dfrac{-3+3+0}{3},\dfrac{0+0+4}{3}\right)[/tex]
[tex]Centroid=\left(\dfrac{0}{3},\dfrac{4}{3}\right)[/tex]
[tex]Centroid=\left(0,1.333...\right)[/tex]
Round each coordinate to the nearest tenth.
[tex]Centroid=\left(0,1.3\right)[/tex]
The coordinates of required point are (0,1.3). Therefore, the correct option is C.
what is computer answer
Step-by-step explanation:
A programmable electronic device that performs mathematical calculations and logical operations, especially one that can process, store and retrieve large amounts of data very quickly; now especially, a small one for personal or home use employed for manipulating text or graphics, accessing the Internet, or playing games or media is computer.
Hope it helps :)❤
4 Isabel is designing a new fish tank that is shaped like a triangular prism with lateral faces made of glass. A model of the fish tank and its dimensions are shown below. 10 in 8 in 1 6 in 8 in What is the lateral surface area of Isabel's fish tank?
Answer: 192 in2
AL=(a+b+c)h=(10+8+6)·8=192
i’ll give u brainliest!!
what is the area of shape 1, 2 and 3
Answer:
Shape 1: 25.915
Shape 2: 102.85
Shape 3: 142
Step-by-step explanation:
For shape 1, you have to divide 7.1 to get half the width of the triangle. You get 3.55 from that, and then finding the triangle itself you have to do 7.3*3.55 to get 25.915. For shape 2, you first do the harder parts (the triangles) and since there is two of them we don't need to half the width of each triangle. But first to get the width, we need to do 20-17.4=2.6. But since there are 2 triangles we need to divide that by 2 to get 1.3. Then you multiply that by 5.5 to get the final area of both triangles which is 7.15. Next you simply find the rectangle which is 17.4*5.5=95.7. You add the triangles area to get 102.85. Finally for shape 3 you simply do 7.1*20=142.
Answer:
after u get ur answers, u add up all the numbers to get ur total
Step-by-step explanation:
Amy want to buy a desk. The original price is 60$. It is on
sale for 10%. How much will amy save?
Answer:
20.40
Step-by-step explanation:
Answer:
10 dollars. I think.
Step-by-step explanation:
If the temperature is 77 F what is it in Celsius
Answer:
25 degrees celcius
Step-by-step explanation:
Can someone please help me out with this I’ll mark u brainliest
Answer:
Angles on a straight line
180-156= 24
a=24 degrees
Answer: 24
180-156=24
a= 24
hope this helps:
a line should equal to 180°
The ratio of blue to red for a purple paint made by
28
mixing 24 oz of red with 28 oz of blue.
Answer:
28:24
Step-by-step explanation:
Blue to red is 28:24 or 7:6.
ummmmmmmmmmmmmmmmmmmmmmmmmm help pls
Answer:
[tex]\displaystyle m=\frac{-5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, 2)
Point (4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{-3-2}{4-2}[/tex]Subtract: [tex]\displaystyle m=\frac{-5}{2}[/tex]What is the greatest common factor of 3 and 6?
3
6
18
36
Answer:
36
Step-by-step explanation:
the greatest common factor is 36 because
3 times 12 is 36
6 times 6 is 36
pls mark be brainliest!!
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{3}}}}[/tex]
[tex] \sf{Step - by - step \: explanation}[/tex] :
[tex] \sf{Factors \: of \: 3 = \: 1 \: \times 3}[/tex]
[tex] \sf{Factors \: of \: 6 = 1 \times 2 \times 3 }[/tex]
G.C.F = Common prime factors = 1 × 3 = 3
Hence , the Greatest Common Factor ( GCF ) of 3 and 6 is 3 .
⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
✑ Explore more !!
GCF is also called Highest Common Factor ( HCF ) and the Greatest Common divisor ( GCD ) . The GCF of any numbers can be obtained by using two methods. They are :
1. Prime Factorization method
The steps for finding GCF by this method are :
First of all , find the prime factor of each numbers.Take out the common prime factors of given numbers.Multiply those all common prime factors and the number which is obtained is GCF. If there is no any common prime factor existing , then 1 is considered as GCF of those numbers.2. Division method
The steps for finding GCF by this method are :
Divide the larger number by smaller one.In case of remaining remainder , divide the first divisor by that remainder.Again if remainder leaves , divide the second divisor by the remainder.Repeat the process until the remainder becomes the zero. So , that the last divisor is the GCF.Hope I helped ! ♡
Have a wonderful day / night ツ
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hi people here hi hi oya
Answer:
Hi How are you doing today???
Answer:
Hello there, how are you doing?
Step-by-step explanation:
Someone please do this!
Answer:
£518.42
Step-by-step explanation:
While on vacation in Bloomington, Ashley went out for a dinner that cost $20. If sales tax in Bloomington is 10% and Ashley left a 15% tip on $20, what was the total cost of her meal?
Answer:
$25
Step-by-step explanation:
Given that:
Cost of Ashley's dinner in Bloomington = $20
Sales tax = 10%
Tip = 15% on $20
To find:
Total cost of the meal ?
Solution:
Let us find the sales tax first of all.
Sales tax is 10% of the total bill.
Therefore, sales tax = 10% of $20
[tex]\Rightarrow \dfrac{10}{100}\times 20\\\Rightarrow \$2[/tex]
Tip left is 15% of the total bill.
Therefore, tip = 15% of $20
[tex]\Rightarrow \dfrac{15}{100}\times 20\\\Rightarrow \$3[/tex]
Now, total cost of the meal = Food cost + Sales tax + tip
Total cost of the meal = $20 + $2 + $3 = $25
A rectangle is 2 times longer than it is wide. The diagonal of the rectangle is 15 cm. What is the width of the
rectangle?
A block of silver is weighing 8 ounces is worth $104. What is the unit rate for the Value of silver in one ounce
Answer:
Blockof silver's wieghing = 8 ounces
total rate = $104
therefore, one ounce=$104/8= $13
Which whole number is Square root 42 close to
Answer:
√42 = about 6.48 ....... so it's closer to 6
Step-by-step explanation:
Answer: 6 because you would have to round it off
Step-by-step explanation:
please help i dont understand this at all. if you could also elaborate too
Answer:
∠A = 115°
∠B = 65°
∠C = 115°
∠D = 65°
Step-by-step explanation:
The figure given is of parallelogram.
We need to find measure of each interior angle.
We are given:
∠A = (2x-15)°
∠B = x°
∠C = (2x-15)°
∠D = x°
We need to find measure of ∠A , ∠B, ∠C, ∠D
We know that sum of all angles of parallelogram = 360°
So, we can write: ∠A +∠B+ ∠C+ ∠D = 360°
Now putting their values and finding value of x first:
[tex]2x-15+x+2x-15+x=360\\Combining\:like\:terms:\\2x+x+2x+x-15-15=360\\6x-30=360\\6x=360+30\\6x=390\\x=\frac{390}{6}\\x=65[/tex]
So, we get x= 65
Now finding measure of each angle:
∠A = (2x-15)° = 2(65)-15 = 130-15 = 115°
∠B = x° = 65°
∠C = (2x-15)° = 2(65)-15 = 130-15 = 115°
∠D = x°= 65°
Answer is:
∠A = 115°
∠B = 65°
∠C = 115°
∠D = 65°
A box without cover is to be constructed from a rectangular cardboard measuring 6 cm by 10 cm by cutting out four square corners of length x cm. Let V represent the volume of the box. Express the volume V of the box in terms of x, writing the equation in factored form.
Answer:
60xcm^3
Step-by-step explanation:
6 times 10 times x
60x
Estimate the product/quotation of the problem below
724÷87
Select the correct answer.
The function g(x) = x^2 is transformed to obtain function h:
h(x) = g(x) + 1.
Which statement describes how the graph of h is different from the graph of g?
A. The graph of his the graph of g vertically shifted up 1 unit.
B. The graph of his the graph of g vertically shifted down 1 unit.
C. The graph of his the graph of g horizontally shifted left 1 unit.
D. The graph of h is the graph of ghorizontally shifted right 1 unit.
Answer:
A. The graph of his graph of g vertically shifted up 1 unit.
Step-by-step explanation:
h(x) = g(x) + 1
h(x) = x² + 1
The graph shifted up 1 unit.
Answer:
A. The graph of his graph of g vertically shifted up 1 unit.
Step-by-step explanation:
h(x) = g(x) + 1
h(x) = x² + 1
The graph shifted up 1 unit.
Estimate 44 + 33 =
decimals
Answer:
My estimate is 70, but the answer towards 33 plus 44 is 77
Please correct me If i am wrong
Step-by-step explanation:
Please answer this question
Answer:
Properties of operations help a lot in solving problems related to integers and rational numbers. Step-by-step explanation: ... These properties are used to solve problems involving rational numbers as well as integers. These properties are associative,commutative, distributive and identity.
Step-by-step explanation:
pls give me brainliest
Select all ratios equivalent to 2:5
Answer:
Sorry but ummm... you forgot to add a screenshot... :/
Step-by-step explanation:
Maybe post that question again with a screenshot
Answer:
16 : 40
Step-by-step explanation:
it is the only option that will work
Solve for the values of x and y. Round the answers to the nearest hundredth.
Answer:
x = 26, y = 19
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{ST}{NP}[/tex] = [tex]\frac{RS}{MN}[/tex] , substitute values
[tex]\frac{x}{13}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 13 )
x = 26
and
[tex]\frac{MP}{RT}[/tex] = [tex]\frac{MN}{RS}[/tex] , substitute values
[tex]\frac{y}{38}[/tex] = [tex]\frac{16}{32}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 38 ( divide both sides by 2 )
y = 19
what is the answer for 2/3 z = -6
Answer:
z=−9
Step-by-step explanation:
Let's solve your equation step-by-step.
2/3z =−6
Step 1: Multiply both sides by 3/2.
(3/2)*(2/3z)=(3/2)*(−6)
z=−9
plz give brainlyest
s + 2.5s + 2.5s - 3.3 =
Answer: 6s-3.3
Step-by-step explanation:
Answer:
[tex]s=0.55[/tex]
Step-by-step explanation:
[tex]6s=3.3\\s=\frac{3.3}{6}\\s=0.55[/tex]
Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)
Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.
Answer:
again i can not see the given point
Step-by-step explanation:
An account with an initial deposit of 3,500 earns 7.25% annual interest, compounded continuously. How much will the account be worth after 30 years? Round to the nearest cent.
Answer: $28,575.05
Step-by-step explanation:
Formula: FV = (1+r/n)^nt
FV = future value of the deposit
P = principal or amount of money deposited
r = annual interest rate (in decimal form)
n = number of times compounded per year
t = time in years.
3,500(1+7.25%)^30=28,575.05468
help me im so sad determine the values of X for which f(x) is defined
Answer:
[tex]f(x) = \frac{(2x - 1)(3x - 2)}{9x - 4} \\ open \: brackets \\ = \frac{(6 {x}^{2} - 4x - 3x + 2) }{9x - 4} \\ = \frac{6 {x}^{2} - 7x + 2 }{9x - 4} \\ let \: x \: be \: 1 \\ f(1) = \frac{(6 - 7 + 2)}{(9 - 4)} \\ = \frac{1}{5} [/tex]
find QR. help please and thank you<3
Answer:
QR = 1.3
Step-by-step explanation:
Sides TQ and TS are congruent, thus Δ QST is isosceles.
RT is a perpendicular bisector, that is it bisects QS at right angles, thus
QR = RS = 1.3
The measure of length of QR is 1.3 units.
What is an isosceles triangle?Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.
In the given triangle TQS, QT=TS=4.7 units, so triangle TQS, isosceles triangle.
In isosceles triangle TQS, TR is the perpendicular bisector.
Then QR=RS= 1.3 units
Therefore, the measure of length of QR is 1.3 units.
To learn more about an isosceles triangle visit:
https://brainly.com/question/10147636.
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If x = 2, y = -1, Simplify and find the value of x(2) - 3 (x(2) + y(2) - 4).
Answer:
I think it would be -4x-6y+12
Answer:
10
Step-by-step explanation:
Plug in the values to "x" and "y" and solve.
Solve:
2(2) - 3(2(2) - 1(2) - 4)
2(2) - 3(4 - 1(2) - 4)
2(2) - 3(4 - 2 - 4)
2(2) - 3(-2)
4 - 3(-2)
4 + 6
10
Your answer would be 10.
