Answer:
ANSWER
Let A(4,6), B(0,4), C(6,2) be the vertices of the given △ABC.
Let P(x,y) be the circumcentre of △ABC. Then,
PA=PB=PC⟹PA
2
=PB
2
=PC
2
Now, PA
2
=PB
2
(x−4)
2
+(y−6)
2
=(x−0)
2
+(y−4)
2
x
2
+y
2
−8x−12y+52=x
2
+y
2
−8y+16
8x+4y=36
2x+y=9 .......(1)
Again, PB
2
=PC
2
(x−0)
2
+(y−4)
2
=(x−6)
2
+(y−2)
2
x
2
+y
2
−8y+16=x
2
+y
2
−12x−4y+40
12x−4y=24
3x−y=6 .....(2)
Solving equation 1 and 2, we get,
x=3,y=3
Therefore, the coordinates of circumcentre of △ABC are P(3,3).
Circumradius = PA=
(4−3)
2
+(6−3)
2
=
10
units
Hope it is helpful to you
help please!!
Solve for r in the following equation: 5r−r−9=15
What does the equation look like now?
Use your answer and finish solving the equation for r.
r=
Answer:
r=6
Step-by-step explanation:
subtract r from 5r to get 4r, and add 9 to the other side, 4r=24, divide 24 by 4 to get 6
what is rounded to the nerest tenth in 3.2649
Answer:
3.3
Step-by-step explanation:
The .2 is the tenths place, so you use the hundredths place (the 6A) to turn the .2 into a .3
Answer:
3.3
Step-by-step explanation:
0.847 times 3.54
What does it equal
Answer: 2.99838 or rounding to nearest whole number it is 3
Step-by-step explanation:
What’s the 84th term of the arithmetic sequence -5, 15, 35
Answer:
a₈₄ = 1655Step-by-step explanation:
15-(-5) = 20 and 35-15=20 so d=20
[tex]a_n=a_1+d(n-1)\\\\a_1=-5\\d=20\\\\a_{84}=-5+20(84-1)=-5+20\cdot83=-5+1660=1655[/tex]
If k(x) = 2x² -3.Vx, then k(9) is
Answer:
159
Step-by-step explanation:
k (9) = (2 * [tex]9^{2}[/tex]) - 3
= (2 * 81) - 3
= 162 - 3
= 159
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of $26. Option B is a commission rate of 10% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
Step-by-step explanation:
12,500.
Step-by-step explanation:
We have been given that a salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $25. Option B is a commission rate of 8% on weekly sales.
First of all we will find amount earned by salesperson with option A.
\text{Option A earnings}=40\times 25=1000Option A earnings=40×25=1000
The salespersons earns $1000 through option A.
Let x be the amount of weekly sales.
8% of x should be equal to 1000 for salesman to earn the same amount with the two options.
\frac{8}{100}x=1000
100
8
x=1000
0.08 x=10000.08x=1000
x=\frac{1000}{0.08}x=
0.08
1000
x=12500x=12500
Therefore, the salesman needs to make a weekly sales of $12,500 to earn the same amount with two options.
David's Bikes rents bikes for $11 plus $5 per hour. Mary paid $51 to rent a bike. For how many hours did she rent the bike?
Help please!
A.
B.
C.
D.
Answer:
it is b
Step-by-step explanation:
bc it is the one thing that i had right to start with
Solve for x in the equation x^2-12x+36 = 90
Answer:
x = 6 +3√ 10 , 6 − 3 √ 10
decimal form
X= 15.48683298...
For the function f(x) =
= X + 5, what is the ordered pair for the point on the graph
when x = 4?
Answer:
F=9
Step-by-step explanation:
Need help.
plz show steps
Answer:
-4
Step-by-step explanation:
1) 30% of the 210 7th graders at CBJ said they were planning to leave town for
Spring Break. How many students are NOT planning on leaving town? *
Answer:
30% of 210 is 63
Step-by-step explanation:
Answer:
209.7
Step-by-step explanation: i dont know what ur really asking for which i understand all u have to do simplify the expressions
What would happen to the particles in liquid if you decrease the temperature?
A) The particles would speed up
B) The particles would slow down
C) The particles would slow down and then speed up really fast
D) The particles would turn into a gas
Answer:
would slow down
I am nt sure
Qotd:
Who do you call when 911 is committing the crime?
Answer:
Justice Department ?
Step-by-step explanation:
Answer:
816-800-0000
Step-by-step explanation:
If I need 5 eggs to make 30 biscuits, how many eggs will I need to make 90 biscuits?
Answer:
15!!!!is the answer.....
A 12 fl. oz. bottle of shampoo costs $1.08 at Costco. A 20 fl. oz. Bottle of the same shampoo costs $2.20 at Wal-Mart. Which store has the better buy?
9514 1404 393
Answer:
Costco
Step-by-step explanation:
2 bottles at Costco give you 24 oz of shampoo for the price of $2.08, which is less than Wal-Mart's price of $2.20 for fewer ounces.
Costco has the better buy.
1. 68% of 700
2.85% of 520
3. 40% of 85
4. 32% of 325
5. 2% of 250
6.50% of 104
7. 75% of 396
8. 90% of 80
9. 25% of 64
10. 63% of 400
11.56% of 475
12. 15% of 20
13. 48% of 50
14. 8% of 725
Answer:
1. 476
2. 442
3. 34
4. 104
5. 5
6. 52
7. 297
8. 72
9. 16
10. 252
11.266
12. 3
13. 24
14. 58
Step-by-step explanation:
i’m so stressed out over this. please help me solve these
Answer:
8x + 406y - 21-6m - 186 - 6z-5x - 1-x - 4ab - 6b7a(3b - 2c + 4)4x + 1[tex]\frac{x}{6} - 4[/tex] 1 - 4wx - 42k - 584x + 246 - 37m25v + 16c - 395p + 42-wx + 3I hope this helps!
Find the exact solution to the equation 10-log8(x+2)=9
Answer:
-0.89269063 ...
Step-by-step explanation:
Put it in the calculator
Estimate the amount of the tip by rounding the bill to the nearest 10 dollars before calculating
15% tip on a bill of $483.82
the amount of the tip is approximately $_.
Answer:
My estimate is 73
Step-by-step explanation:
15% ?
____ ______
100 483.82
Steps:
1.First multiply 15 and (483.82).You should get (7257.3).
2.Next you have to divide 7257.3 and 100 which gets you 72.573.
3.Estimate:Round 72.573
73
Hopes this helps!!
What is the value of r in this expression -4/3r - 1 = -2
Answer:
r= -1.3
Step-by-step explanation:
Write in expanded form the 3-digit number that has 5 tens, m units, and 2 more hundreds than units.
Step-by-step explanation:
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard Form
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form20,37,81,405
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form20,37,81,405=
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form20,37,81,405=20,00,00,000 + 0 + 30,00,000 + 7,00,000 + 80,000 + 1,000 + 400 + 0 + 5
Answer:
2x100+mx100+5x10+mx1
Step-by-step explanation:
This is correct. TRUST ME!! pls if wrong.
PLEASE HELP! Please answer properly. Also don't just multiply the numbers together. I'm supposed to show how I factored it then solved it. Please explain. Can be short explanation.
Answer:
999975
Step-by-step explanation:
that`s what i got
Here is a system of equations:
-7x + 3y = -65
-7x + 10y = -135
Write an equation that results from subtracting the two equations.
Answer:
y = -10
Step-by-step explanation:
(-7x+3y) - (-7x +10y) =-65 -(-135)
-7x + 3y + 7x -10y = 70
-7y = 70
y = -10
The equation that results from subtracting - 7x + 3y = - 65 and
- 7x + 10y = - 135 is 7y = - 70.
What are simultaneous equations?We know two simultaneous equations have a unique solution when they intersect at a point,
when they are parallel they have no solution and when they are coinciding they have an infinite no. of solutions.
Given, a system of equations - 7x + 3y = - 65 and - 7x + 10y = - 135.
Subtracting the first equation from the second we get,
- 7x + 10y = - 135
(-) - 7x + 3y = - 65
_________________
Negative sign gets distributed
- 7x + 10y = - 135
+ 7x - 3y = + 65
_________________
7y = - 70
y = - 70/7
y = - 10.
So, the value of x is -7x +10×(-10) = - 135.
- 7x - 100 = - 135.
- 7x = - 135 + 100.
- 7x = - 35.
x = 7.
learn more about the system of equations here :
https://brainly.com/question/24065247
#SPJ2
у=х+ 1
2x+3y= 5
HELP ME
Answer:
x=2/5
Step-by-step explanation:
2x+3(x+1)=5
2X+3X+3=5
5x+3=5
5x=2
x=2/5
Help me
Help Me
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If you do I will give you Ten RaMeN NoOdLe bOwLs at Ichiraku Ramen
Its the Best In The Hidden Leaf Village! Believe It!
(Answer All.. be Fast I might eat the noodles)
Answer:
GIVE ME MY RAMEN
Step-by-step explanation:
3.
add like terms
30 + 7k = 100
100-30 = 70
70 divided by 7k = 10
k = 10
4. add the z's together
2z - 6 -2 = -10
+ 6 + 2
-10 will be -2 now since we dragged the -6 and -2 to the other side
2z = -2
z = -1
5. 3.2x - 1.7x = 1.5x
1.5x + 5.5 = 10
10 would be 4.5 since we dragged 5.5 to the other side so it would be 10 - 5.5
3.2x = 5.5
x = 1.71875
6.
3/4x - 1/4x = 2/4x
14 - 3 = 11
2/4x = 11
x = 22
The equation P=6s represents the perimeter P of a regular hexagon with side length s. What is the
perimeter of a regular hexagon with side length 2 mm?
The perimeter is
mm.
Answer:
The perimeter is 12mm
Step-by-step explanation:
Plug 2 for s in P=6s so 6*2=12
Use the sliders to change the values of a, b, and cin
the sine function. Which equation has a maximum at
(Pi/4, 3) and a minimum at (pi/4, -3)
y=-3 cos(2x) is the equation has a maximum at (4π , 3) and a minimum at (4π , -3)
What is Trigonometry?The study of correlations between triangles' side lengths and angles is known as trigonometry.
The sine function's parameters, a, b, c, and d, must be adjusted using the sliders.
Now, Finding the equation with a maximum at (4π , 3) and a minimum at (4π , -3) is necessary.
Thus, Setting the values for the slider requires setting a to -3, b to 2, and c to 0.
Hence, The solution, y=-3 cos (2x), should match the equation obtained from the sliders.
learn more about trigonometry here:
brainly.com/question/25122835
#SPJ2
Answer: y=-3sin(2x)
Step-by-step explanation:
Answered correctly on edge
Find the value of 5^4 * 5 ^3 *
identify 2 pairs of angles of the given type.
plsss HELP!!!!!!
Answer:
It is (2,4) Plz mark brainliest
Step-by-step explanation: