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.
Can someone plz help!!!! :(
Answer:
60 degress
Step-by-step explanation:
How I got it:
1. Find out the angel of each side. 360 divded by 6 = 60
2. Get the answer of 60
Advice:
-Make an polygon using paper and rotate it. (Use protractor and ruler if your gonna do it)
Which set of numbers describe the side length of a right triangle
Answer: 3,4,5
Step-by-step explanation:
5² = 3² + 4²
25 = 9 + 16
25 = 25
The set of numbers 3, 4, and 5 describe the side length of a right triangle.
Option C is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Set of numbers:
1, 2, 3
2, 3, 4
3, 4, 5
4, 5, 6
We need to find the set of numbers that describe the side length of a right triangle.
We will apply the Pythagorean theorem to all the sets of numbers.
Using 1,2,3.
1² = 2² + 3²
1 = 4 + 9
1 = 13
2² = 1² + 3²
4 = 1 + 9
4 = 10
3² = 1² + 2²
9 = 1 + 4
9 = 5
This is not true.
Similarly,
Set of numbers: 2,3,4 and 4,5,6 are not true.
Using 3, 4, 5
5² = 3² + 4²
25 = 9 + 16
25 = 25
This is true.
Thus,
The set of numbers 3, 4, and 5 describe the side length of a right triangle.
Option C is the correct answer.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ2
HELP!! Shelley creates a logo using two similar icicle triangle shown below what is the length of side s in centimeters
Answer:
s = 12cm
Step-by-step explanation:
Since these are similar triangles, in order to find a missing side, you have to find the constant of proportionality
14/8 = 21/s >> cross multiply
14s = 168 >> divide both sides by 14 to get s alone
s = 12
another way to find the answer......
Step-by-step explanation:
You still have to find the constant of proportionality, it's just going to be a bit faster this way
14/8 = 1.75
21/1.75 = 12
s = 12
It costs $60.00 to rent the gymnasium, plus $5.00 per person. What would be the total cost to rent the gymnasium for 40 people?
Pleaseee help me ASAP, I’m confused and if you are too please don’t just answer for the credits at least read carefully then try to help :(
Answer:
BBEFI or HLast one could be either "Prove" or "CPCTC"
Please help quickly I will give brainlist
Answer:
a. 73%
b. 73:100
c. 0.73
d. 73/100
Step-by-step explanation:
If you are only talking about the shaded part out of the total number of squares then these are your answers
73 out of 100 is 73%
73:100 is the ratio
73/100 = 0.73 is the decimal
73/100 is the fraction
helpppppp i took a pic because just in case yall don't understand
Answer:
last one
Step-by-step explanation:
the last one because it cannot be expressed as a fraction.
Mary buys 8 cupcakes for $6 and Pete buys 12 cupcakes for $9. Who got the better deal PER cupcake or did they spend the same amount per cupcake?
Answer:
Step-by-step explanation:
Mary spends 8*6=48 dollars
Pete spends 9*12=108
Mary got a better deal per cupcake
Answer:
They spent the same amount per cupcake ($1.33)
Step-by-step explanation:
To solve this, we need to find the unit rate of cost per cupcake. To do that, we divide 8 by 6 and divide 12 by 9. When we do that, we get 1.33 for both. That means they spent the same amount per cupcake ($1.33).
7:5 is equivalent to 21: ?
Answer:
7:5 is the same as 21: 15
Step-by-step explanation:
21/7 = 3 and 3*5=15
i divided 21 by 7 to see how many times it was multiplied to get there, so i could do the same thing to the 5
I hope this helps :)
Answer:the answer is 15
Step-by-step explanation:
I got it right lol
k ( n ) = | n + 1 | − 1 ; Find k ( 4 )
Answer:
4
Step-by-step explanation:
Kate started with a piece of bubblegum that was 5/8 in wide. She later blew a bubble that was 2 7/8 in wide. How much wider was Kates bubble than the original price
Answer:
9/4 or 2 1/4
Step-by-step explanation:
2 7 /8 -5/8 which gives you 9/4
Ji Sunn spent $24 at the local farmer’s market. She bought apples that cost $4 per pound and raspberries that cost $6 per pound. Which equation can be used to represent the amount of raspberries, r, in terms of apples, a?
r = 4 minus two-thirds a
r = 4 + two-thirds a
r = 6 minus three-halves a
r = 6 + three-halves aThe formula for electrical power is P = I V. Which is the equivalent equation solved for i?
One number is 7 more than twice another tumber. The sum of the numbers is 22. What is
one of the numbers?
Answer:
5
Step-by-step explanation:
for the question, let's make a variable
Assume one number is X and we can get a equation like this:
X + 2X+7 = 22
X + 2X = 22 - 7
3X = 15
X = 5
Find value of m for which (-3)*
for which (-3ght X (-3) =(-35
9514 1404 393
Answer:
m = -3
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) + a^(b+c)
__
[tex](-3)^{m+2}\times(-3)^5=(-3)^4\\\\(-3)^{m+2+5}=(-3)^4\\\\m+7=4 \qquad\text{equate exponents}\\\\\boxed{m=-3} \qquad\text{subtract 7}[/tex]
A coordinate plane with Number of Text Messages on the x-axis and Number of Minutes Used on the y-axis, with points plotted at, (10, 20), (20, 40), (30, 60), and (40, 80).
A prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, the number of text messages sent and received. Is there a direct variation? Which equation represents the relationship?
Yes, y = 2x.
Yes, y = 20x.
No, y = x + 10.
No, y = x + 20.
Answer:
y=2x or "A" is correct
Step-by-step explanation:
35 : ? = 20 : 24
QUICKLY PLEASE!!
Answer:
35:42=20:24
Hope this helps!
I NEED HELP PLZ ANSWER THIS
Answer:
A
Step-by-step explanation:
(✓x)^5
(x^1/2)^5
x^5/2
BRAINLEST to whoever
Solve the given proportion
X= ?
Answer:
49
Step-by-step explanation:
I need help with this math problem
what is 15% of $58?
Answer:
15% of 58
15÷100×58
may this help u
Answer: $ 8.70
Step-by-step explanation: 0.15 x 58 = 8.7
What is the slope of the line through (0,5) and (-2, -1)?
(0.5)
3
2
X
2
4
-4 -3
+(-2,-1)
-1
-2
-3
A. -3
O
B. -
o
C. 3
O
D.
10
PREVIOUS
Answer: 3
Step-by-step explanation:
*Slope formula*
Y2 - Y1 / X2 - X1
-1 - (5) / -2 - (0) = -6/-2 = 3
The number 1-50 are placed in a bag. What is the probability of selecting:
A) a number greater than 50______
B) multiple of 5________
C) a prime number _________
D) a composite number_______
A: 0
B: 10/50
C: 15/50
D: 34/50
Answers:
A) 0B) 1/5 = 0.2C) 3/10 = 0.3D) 17/25 = 0.68Nearly all of those answers involve a fraction form and an equivalent decimal form.
===========================================
Work Shown:
Part A
The largest number in the bag is 50, so we cannot select anything larger than that. The probability of getting something larger than 50 is 0% which converts to the decimal form 0
----------------------------
Part B
List out the multiples of 5 to get {5,10,15,20,25,30,35,40,45,50}
Note how 50/5 = 10, which shows there are 10 multiples listed above.
We have 10 items in that set out of 50 items in the set {1,2,3,...,49,50}. The probability of getting a multiple of 5 is 10/50 = 1/5. This converts to the decimal form 0.2
----------------------------
Part C
The prime numbers between 1 and 50 are:
{2,3,5,7,11,13,17,19,23,29,31,37,41,43,47}
There are 15 items in that list out of 50 items in the bag, so 15/50 = (5*3)/(5*10) = 3/10 is the answer. Converting to decimal form gets us 3/10 = 0.3
----------------------------
Part D
There are 50 items in the bag and 15 primes. This means there are 50-15 = 35 composite items. Well this is close to the actual count. It turns out that the number "1" is not composite, and it's not prime either. So we really have 35-1 = 34 composite values.
We get 34/50 = (17*2)/(25*2) = 17/25 as the answer. That converts to 17/25 = 0.68
y=−2x+4 Complete the missing value in the solution to the equation. ( −2) Need it quick no explanation need.
Answer:
1 is missing value..... .....
ASAP PLEASE!!!
Graph the equation.
y-3 = -x + 4)
Answer:
i think the correct answer is letter D im not sure
Step-by-step explanation:
–7 y = –28
Answer:
y = ?
Answer the ? Mark pls
Answer:
y=4
Step-by-step explanation:
-28 divided by -7 equals to 4
Hope this helps!!
Answer: y = 4
Step-by-step explanation:
-7y/-7 = -28/-7 So, Both the -7's cancel out and your left with y= you divide -28 by -7. When you divide both of the numbers you get a positive 4.
If x and y vary directly, and x = 12 when
y = 4, what is the value of x when y = 1 ?
Answer:
3
Step-by-step explanation:
Answer: x = 3
Step-by-step explanation:
y for x
4 for 12
1 for ?
Cross multiply
4? = 12 x 1
4? = 12
Divide both sides by 4
? = 3
When y = 1, x = 3.
Hope that helped!
2x + 4 / 3 = -8 please help
Answer:
X= -14/3
Step-by-step explanation:
Subtract \frac{4}{3}
3
4
from both sides.
2x=-8-\frac{4}{3}
2x=−8−
3
4
2 Simplify -8-\frac{4}{3}−8−
3
4
to -\frac{28}{3}−
3
28
.
2x=-\frac{28}{3}
2x=−
3
28
3 Divide both sides by 22.
x=-\frac{\frac{28}{3}}{2}
x=−
2
3
28
4 Simplify \frac{\frac{28}{3}}{2}
2
3
28
to \frac{28}{3\times 2}
3×2
28
.
x=-\frac{28}{3\times 2}
x=−
3×2
28
5 Simplify 3\times 23×2 to 66.
x=-\frac{28}{6}
x=−
6
28
6 Simplify \frac{28}{6}
6
28
to \frac{14}{3}
3
14
.
x=-\frac{14}{3}
x=−
3
14
So what the answer for “Kelly has $5.38 in her account before receiving her $832.19 paycheck. She writes checks for rent and car insurance in the amounts of $359.82 and $72.38. She also withdraws $30. What is her current balance?” ? Please I need this answer right away please
Answer: $375.37
Step-by-step explanation:
From the question, we are told that Kelly has $5.38 in her account before receiving her $832.19 paycheck. We are further told that she writes checks for rent and car insurance in the amounts of $359.82 and $72.38 and that she also withdraws $30.
Her current balance will be:
= $5.38 + $832.19 - $359.82 - $72.38 - $30
= $375.37
Her current balance is $375.37
Help me!!! PLEASE (I only have 13 points)
Answer:
0.6 ÷ 0.3 - Option 2.
0.2 × 0.9 - Option 3.
Carlos is making three cakes. One cake requires 3/4 of a cup sugar. How much sugar will he need to make all three cakes?
A. 3
B. 9/12
C. 2 1/4
D. 4
Answer:B.9/12
Step-by-step explanation:
Answer:
2 1/4 cups
Step-by-step explanation:
3/4 is for one cake, if Carlos is making 3 times that amount of cakes, Carlos needs three times the amount of sugar. So, our equation is:
3/4 x 3 = 9/4
9/4 = 2 1/4 or 2.25
So, Carlos needs 2 1/4 cups of sugar for 3 cakes
If M
then mABC = [ ? ]
Answer:
135
Step-by-step explanation:
m(abc)= m(abd) +m(dbc) = 65+60 =135
