Answer:
D
Step-by-step explanation:
C666666666666666666666
What is the radius of a circle given by the equation x2 y2 – 2x 8y – 47= 0?
Answer:
the answer is 8 units
Step-by-step explanation:
The radius of a circle given by the equation [tex]\rm x^2+y^2-2x+8y-47=0[/tex] is 8 units.
It is given that the circle equation is given by [tex]\rm x^2+y^2-2x+8y-47=0[/tex]
It is required to find the radius of the circle.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We circle the equation:
[tex]\rm x^2+y^2-2x+8y-47=0[/tex]
Converting this equation into the standard form of the circle:
[tex]\rm (x-a)^2+(y-b)^2=r^2[/tex]
[tex]\rm x^2+y^2-2x+8y-47=0[/tex]
[tex]\rm x^2+y^2-2x+8y-47+1-1+16-16=0[/tex] (by adding and subtracting by
1 and 16)
[tex]\rm x^2-2x+1+y^2+8y+16-1-16-47=0\\\\\rm (x-1)^2+(y-(-4))^2-64=0\\\\\rm (x-1)^2+(y-(-4))^2=64\\\\\rm (x-2)^2+(y-(-4))^2=8^2 \\\\[/tex]
By comparing with the standard circle equation, we get:
r = 8
Thus, the radius of a circle given by the equation [tex]\rm x^2+y^2-2x+8y-47=0[/tex] is 8 units
Learn more about circle here:
brainly.com/question/11833983
A soccer stadium had a capacity of 25000 seats, but with the new area built this increased by 20%.
Calculate the number of people in the stadium if on a match only 65% of the seats are occupied.
Answer:
19,500 people
Step-by-step explanation:
20% of 25,000 is 5,000.
Add 5,000 to 25,000 - this will give you 30,000. That is a 20% increase.
65% of 30,000 is 19,500, thus there are 19,500 people in the stadium.
Eva is solving the equation 4(x+3/2)=8 She says, “I can subtract 3/2 from each side to get 4x=13/2 and then divide by 4 to get x=13/8."
Answer:
Wrong
Step-by-step explanation:
Eva must subtract 4*3/2=6 from each side to get 4x=2, the divide by 4 to get x=1/2
Another way:
First, divide both sides with 4 to get x+3/2=2. Then subtract 3/2 from each side and we will have x= 2-3/2= 1/2
These two figures have the same perimeter. Solve for x and find the perimeter.
(Please say the actual number and not a link please!)
Answer:
x=4, perimeter is 30.
Step-by-step explanation:
Let's calcualte the perimeter of the two figures. I'm assuming the pentagon is regular else the problem lacks information.
[tex]5(x+2) = 3x+(2x-1)+(x+7)\\5x+10=6x+6\\4=x[/tex]
At this point the easiest to compute is the pentagon, one side is 6, the whole perimeter is 30.
what is the inequality shown
Answer:
-4<x≤5
Step-by-step explanation:
An open circle means 'less than' or 'greater than' while a closed cirlce means 'less than or equal to' or 'greater than or equal to'
Can someone please help
Answer:
B
Step-by-step explanation:
-4+4=0
If the temperature starts at -4 four and increases by 4, the temperature will be 0.
please help for 10 points
What is the volume of the cylinder in terms of pi 2 m 6m
Answer:
6πm³
Step-by-step explanation:
To work out the volume of a cylinder, use the formula πr²h
Next, substitute the known values into the equation (remember that the radius is half of the diameter):
volume = π × 1² × 6
The volume of the cylinder is 6πm³
Hope this helps!
Expand the binomial (3x^2+2y^3)^4
Answer:
Hope it helps!!!brainliest pls!!!The equation h = 7 sine (startfraction pi over 21 endfraction t) 28 can be used to model the height, h, in feet of the end of one blade of a windmill turning on an axis above the ground as a function of time, t, in seconds. how long is the blade? assume that the blade is pointing to the right, parallel to the ground, at t = 0, and that the windmill turns counterclockwise at a constant rate. 7 feet 14 feet 21 feet 28 feet
The length of the blade of the windmill will be equal to 7 feet.
What will be the length of the windmill?
We have the equation
[tex]\rm h=7 \ Sin(\dfrac{\pi}{21t})+28[/tex]
At the time 't' = 0, the end of the blade is pointing to the right parallel to the ground meaning it is at the same height as the other end. (Ф = 0°)
So, by calculating the maximum height of this end at Ф = 90°. we can calculate the length of the blade.
Now, we know that a general model equation of a circular simple harmonic motion is represented as
[tex]\rm y=A\ Sinwt+k[/tex]
Where A is the amplitude that is, maximum displacement from mean to maximum position.
ω is the angular frequency.
Comparing the above equations we can conclude that
A = 7
so the difference in blade's end height at Ф = 0° and Ф = 90° is 7 feet.
To know more about simple harmonic motion follow
https://brainly.com/question/17315536
Answer:
7ft or option 1
Step-by-step explanation:
please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
5 times as many should be your answer.
State the domain and range and determine if it's a function?
Help!!!
What is the area of the smaller square? *
16
32
36
81
The area of smaller square is 81
Two spheres have a scale factor of 3:8. The smaller sphere has a volume of 54pi cubic meters. Find the volume of the larger sphere. Write your answer in terms of pi.
Answer:
i dont know i tried really hard im not really good at math to be honest once again sorry
Step-by-step explanation:
This figure represents a small plastic container.
What is the volume of the container?
3648 mm³
11,520 mm³
14,400 mm³
15,360 mm³
Answer:
11,520
Step-by-step explanation:
this should be the prism you're talking about if not i dont know which one
Answer:
B. 11,520 mm³
Let f(x)= x(2x-3)/(x+2)x. Find the domain, vertical and horizontal asymptote
Step-by-step explanation:
Domain of a rational function is everywhere except where we set vertical asymptotes. or removable discontinues
Here, we have
[tex] \frac{x(2x - 3)}{(x + 2)x} [/tex]
First, notice we have x in both the numerator and denomiator so we have a removable discounties at x.
Since, we don't want x to be 0,
We have a removable discontinuity at x=0
Now, we have
[tex] \frac{2x - 3}{x + 2} [/tex]
We don't want the denomiator be zero because we can't divide by zero.
so
[tex]x + 2 = 0[/tex]
[tex]x = - 2[/tex]
So our domain is
All Real Numbers except-2 and 0.
The vertical asymptors is x=-2.
To find the horinzontal asymptote, notice how the numerator and denomator have the same degree. So this mean we will have a horinzontal asymptoe of
The leading coeffixent of the numerator/ the leading coefficent of the denomiator.
So that becomes
[tex] \frac{2}{1} = 2[/tex]
So we have a horinzontal asymptofe of 2
Vertical Angles always have equal measures.
True
False
Answer:
the answer is .....true
Please help im confused.
Answer:
The first choice is the answer.
Step-by-step explanation:
Need help with this, I’ll give brainliest for an explaining response :)
Answer:
d
Step-by-step explanation:
The answer must be a multiple of 4, because 4q⁵rs⁴ is divisible by 4. Only option d has this condition.
The measure of an angle is seventeen times the measure of its supplementary angle. What is the measure of each angle?
Answer:
The measure of each angle will be 10° and 170°.
Step-by-step explanation:
A supplementary angle refers to an angle that has the sum to be equal to 180°.
Let the small angle be represented by x
Therefore, the big angle will be: = 17 × x = 17x
Therefore, the value of both angles will be:
x + 17x = 180
18x = 180
Divide both side by 18
18x/18 = 180/18
x = 10
Therefore, the bigger angle will be:
17x = 17 × 10 = 170
Therefore, the angles are 10° and 170°
Answer:
10 and 170 degrees.
Step-by-step explanation:
If the angle is x degrees then its supplementary angle = 180-x degrees.
So x + 17x = 180
18x = 180
x = 10 degrees.
What expression represents the volume of the prism, in cubic units? one-halfx3 x2 one-halfx3 three-halves x2 x3 x2 x3 3x2
The expression which represents the volume of the prism, in cubic units, is one-half x³+ x².
What is of volume of prism?Volume of prism is the amount of quantity, which is obtained in it in the 3 dimensional space. The volume of a prism is the product of the area of its base and height.
[tex]V=A_b\times h[/tex]
Here, ([tex]A_b[/tex]) is the area of the base and (h) is the height of the prism.
The side of the base of the triangular prism is x units. Thus the area of the base is,
[tex]A_b=\dfrac{x\times x}{2}\\A_b=\dfrac{x^2}{2}[/tex]
The height of this prism is (x+2) units long. Thus, the volume of the prism is,
[tex]V=\dfrac{x^2}{2}\times (x+2)\\V=\dfrac{1}{2}x^3+x^2[/tex]
Thus, the expression which represents the volume of the prism, in cubic units, is one-half x³+ x².
Learn more about the volume of a prism here;
https://brainly.com/question/4016105
Answer:
1. A- 1/2x^3
2. 168
3. 927
4A. 48
4B. 336
5. A D
6. 1 3 3
7. 12 cm
8. 8 , 4
9. B
10. A C D
Step-by-step explanation:
whole thing right on edge
A tank having length, breadth and height 10 m, 9 m and 8 m respectively. How much petrol does it hold? Ans: 720000 liter
720000 liter
Step-by-step explanation:[tex]Known:\ a=10\ m,b=9\ m,h=8\ m.[/tex]
[tex]Because:\ V=abh\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (Volume\ caculation\ formula)[/tex]
[tex]Thus:\ V=10\times9\times8=720\ m^3[/tex]
[tex]Because\ 1\ m^3=1000\ L\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (unit\ conversion)[/tex]
[tex]Thus\ 720\ m^3=720000\ L[/tex]
I hope this helps you
:)
There is a population of 56,950 bacteria in a colony. If the number of bacteria doubles every 370 hours, what will the population be 1,850 hours from now?
Answer:
370×1850= 6,84,500
and then
56,950+6,84,500=7,41,450
the population will be 7,41,450
The population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.
What is multiplication?Along with addition, subtraction, and division, multiplication is one of the four basic mathematical operations. In mathematics, multiply refers to the continuous addition of sets of the same size.
Given:
The population of bacteria, P = 56950,
If the number of bacteria doubles every 370 hours then in 1850 hrs = 1850 / 370 = 5,
So, the no doubles 5 times in 1850 hrs,
Now if it doubles 1 time it will be 56950 × 2, and
for 5 times double population will be = 56950 × 2 × 2 × 2 ×2 × 2
P = 1822400
Therefore, the population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.
To know more about multiplication:
https://brainly.com/question/1135170
#SPJ2
which expression is equivalent to 1/4m+3/4m-3/8(m+1)?
A) 5/8m+3/8
b) -5/8m-3/8
c)3/8m+5/8
d)3/8m-5/8
Answer: 5/8m-3/8
Step-by-step explanation:
A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes).
Estimate the median time it will take all layers to finish this game
Based on the data, the median time it takes players to complete the game is 1148 minutes.
What is the median?It is the mathematical value that is the middle when values are sorted.
How to find the median time?Organize the values457 - 548- 866 - 952 - 976 - 1037 - 1148 - 1235 - 1245- 1431-1486 - 1759 - 1864
Identify the value of the middle
Considering there are 13 values, the value of the middle is the value number 7 or 1148.
Note: This question is incomplete because the data is missing, below I attached the missing section,
Learn more about median time in: https://brainly.com/question/7493103
12
Devonte and 19 other students are in
an afterschool robotics program. In order to
attend the state's competition they need to
raise $835.72 for transportation and other
expenses. So far, they have raised $311.12. If
each of the team members were to split the
remaining amount evenly, how much would each
team member be responsible for contributing?
A. $26.23
C. $41.79
B. $15.56
D. $57.34
"When you double my number and add 5, you get 17. What is my number?"
Answer: 6
Step-by-step explanation: 6 doubled is 12 then 12 plus 5 = 17
Please help! will give brainlest!
Answer:
[tex]\frac{ \sqrt{3} }{2} [/tex]
Step-by-step explanation:
[tex] \cos \bigg( \frac{11\pi}{6} \bigg) \\ \\ = \cos \bigg( 2\pi - \frac{\pi}{6} \bigg) \\ \\ = \cos \bigg(\frac{\pi}{6} \bigg) \\ \\ = \frac{ \sqrt{3} }{2} [/tex]
the quotient of m and 7
the quotient of m and 7 = m/7
Please help me with complement or supplement of an angles.
Answer:
60
Step-by-step explanation:
If we look at the picture, we can see that its a right angle having a 90 degree.
We can make a equation with this as we know that m1 and m2 has to equal 90
x + y = 90
Since we know that m2 = 30 we can plug 30 for x
(30) + y = 90
Now we simply moving the 30 to the 90
y = 90 - 30
y = 60