To find the radius of a circle when we're given the coordinates of its center and a point it contains, we can use the following formula for distance:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
[tex](x_1,y_1)[/tex] is one point and [tex](x_2,y_2)[/tex] is anotherSolving the QuestionWe're given:
Center: (-2,1)Point: (2,-1)Plug these given points into the formula for distance:
[tex]d=\sqrt{(2-(-2))^2+(-1-1)^2}\\d=\sqrt{(2+2)^2+(-1-1)^2}\\d=\sqrt{(4)^2+(-2)^2}\\d=\sqrt{16+4}\\d=\sqrt{20}\\d\approx4.47[/tex]
AnswerTherefore, the radius of the circle is [tex]\sqrt{20}[/tex] units, or approximately 4.47 units.
The trial balance of pacilio security services, incorporated as of january 1, year 7
A trial balance is a bookkeeping worksheet where the balance of all ledgers are being compiled into the debit and credit column.
What is a trial balance?It should be noted that a trial balance simply means a list of the general ledgers account that are contained in the business ledger.
The rule for the preparation of a trial balance is that the total debit entries must be equal to the total credit entries.
Learn more about trial balance on:
https://brainly.com/question/24696035
Please help! And show how u solve!
Find X
Answer: 36
Step-by-step explanation:
Find the volume of the cone.
Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Volume of cone :
[tex]\qquad \sf \dashrightarrow \: \frac{1}{3} \pi{r}^{2} h[/tex]
Now, let's plug in the values as per the diagram ~
[tex]\qquad \sf \dashrightarrow \: \frac{1}{3} \times 3.14 \times {(18)}^{2} \times 10[/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{1}{3} \times 31.4 \times 324[/tex]
[tex]\qquad \sf \dashrightarrow \: 31.4 \times108[/tex]
[tex]\qquad \sf \dashrightarrow \:3391.2 \: \: ft {}^{3} [/tex]
Which graph represents the solution to 7x < 21 or 6x – 9 > 21?
3
4
5
6
8
+
6
3
-2
-1
0
1
2
3
4
3
7
8
de
7
6
-5
4
3
-2
0
1
2
4
5
6
7
8
2
-1
0
1
2
6
Answer:
3 and 2 is the right answer and others are rongh
A. 113 cm²
B. 133 cm²
C. 133.14 cm²
D. 113.13 cm²
Step-by-step explanation:
Surface area of cone = πr ( l + r)
= 22/7 × 4 (5+4
= 88/7 × 9
= 792/7
= 113.14 cm²
Answer:
D. 113.13 cm^2.
Step-by-step explanation:
I am assumming you want the surface area of this cone.
This = area of base + area of the curved side
= π r^2 + π r L
= 4^2 π + 4*5 π
= 113.13 cm^2.
7 ft
8 ft
8 ft
5 ft
5 ft
Find the total surface area of the prism
Answer:
look up surface area calculator
Step-by-step explanation:
The surface area of the triangular prism is 161 square feet. Then the correct option is A.
What is the surface area of a triangular prism?Let h be the height and b be the base of the triangle. Let L₁, L₂, and L₃ be the length and W be the width of the rectangle. Then the surface area of the triangular prism will be given as,
Surface area = 2 Area of triangle + 3 Area of rectangle
Surface area = (h x b) + (L₁ + L₂ + L₃) x W
The surface area is calculated as,
SA = (5 x 5) + (5 + 5 + 7) x 8
SA = 25 + 17 x 8
SA = 25 + 136
SA = 161 square feet
Thus, the correct option is A which is top left.
More about the surface area of a triangular prism link is given below.
https://brainly.com/question/16765719
#SPJ2
question in pic below ;))))
Answer:
The first table
Step-by-step explanation:
If you create a fraction x/y, you will see all of the answers reduce down to -1/4. The other tables don't reduce to the same values.
Malini answered 68 problems on a test correctly and received a grade of 80%. How many problems were given on the test, if all problems carried the same number of marks?
Answer:
Below in bold.
Step-by-step explanation:
80% is equivalen to 68 correct answers
1% .. .. .. 68/80 ..
100% ,, ,, ,, (68/80) * 100 = 85 questions.
Find the angle which is vertical to angle 5 and write your result in the empty box.
Answer:
< 2.
Step-by-step explanation:
< 2 is vertical to < 5.
In the UK we say they are opposite angles, which, to me, makes more sense.
Alaska, Hawaii and Washington have active volcanoes. Alaska has 43, Hawaii has 5 and Washington has v. If they have 52 active volcanoes in all, how many volcanoes does Washington have?
Answer:
five
Step-by-step explanation:
Can someone help me on this question
Answer:
D
Step-by-step explanation:
as shown, the angles are equal. You can assume that x also follows that rule.
I can buy a box of cereal for $3.50 that comes with 35 half-cup servings.
HELP ASAP PLS the area of the circle is 64 pi square cm what is the radius of the circle in cm
Answer:
8cm
explanation:
let radius of circle be r
area of circle = 64π cm^2
π×r^2=64π
r^2=64 (cancel out π from both side)
r=√64 ( square root both side to remove the power from r)
r=8 cm
please help asap tysm <3
Answer:
9:20 AM
Step-by-step explanation:
they spend 4 hours in total doing activities
We get this value by adding up all the time spent
1:30pm - 4 hours =
9:20 AM
Find the surface area of the above solId above
Please help
Answer:
I am not sure but it may be 48 cm².
The dimensions of a rectangular prism are given in the net shown. 7 in. x4 . 3 in. 5 in. 3 in.x 4 5 in. What is the total surface area of the rectangular prism in square inches? 71 in 2
The total surface area of any given net of a rectangular prism = area of each rectangular face.
What is the Total Surface Area of a Rectangular Prism?If we are given the net of a rectangular prism, the total surface area of the rectangular prism is the area of each rectangular face all summed together.
The image of the net of the rectangular prism is missing, however, let's assume the image attached below is the net of the prism.
Therefore, the total surface area of the rectangular prism = area of each rectangular face = 20 + 8 + 40 + 8 + 20 + 40 = 96 cm².
Learn more about the rectangular prism on:
https://brainly.com/question/1015291
Is 5 + 3(1 - x) equivalent to 8 - 8x?
Answer:
No, 5 + 3(1 - x) is NOT equivalent to 8 - 8x.
Step-by-step explanation:
To see if they are equivalent to each other, we first need to simplify the first expression:
5 + 3(1 - x)
Distribute the 3 into the parenthesis:
5 + 3 -3x
Combine like terms:
8 - 3x
No, 5 + 3(1 - x) is NOT equivalent to 8 - 8x.
Pat was in fishing competition at lake Pisces
Answer:
Hello! Your Question seems to be Incomplete but if you didn't mean to make it that way. I will be Happy to answer it If you repost It. Thanks !
Step-by-step explanation:
Have a good day!
Please help!
Complete the statements to compare the areas of the two figures and find the area of the base of the cylinder.
Select the correct answer from each drop-down menu.
When the sectors of the circle are rearranged, they are close to forming a _____(rectangle/square/trapezoid) with a length of___ (2*pi*r/pi*r/r) units and a width of r units.
The area of the rearranged figure is_____ (equal/greater than/less than) to that of the circle. So, the area of the circular base_____(pi*r/pi*r*r/2*pi*r/2*pi*r) square units.
When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.
What is the area of the rearranged figure?The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.
What is a Trapezoid?A trapezoid is a two-dimensional geometric shape that has four sides with only two being parallel.
Learn more about Trapezoid at:
https://brainly.com/question/1410008
Answer:
When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.
What is the area of the rearranged figure?
The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.
Step-by-step explanation:
I got it right on Edmentum
Consider the following Polynomial -2a^3b^z+5ab^5+7b^4+8
a. Find the degree of the polynomial
1.5
2.6
3.15
b. Find the leading coefficient of the polynomial
1.-2
2.5
3.7
4.8
c. Find the constant term of the polynomial
1.-2
2.5
3.7
4.8
d. Find the leading term of the polynomial
1.-2a^3 b^2
2.5ab^5
3.7b^4
4.8
#a
Degree is the highest power
here it's 5#b
Leading coefficient is 7
#c
Constant term is 8 (which doesn't contain variables)
#d
Leading term is term with highest power
5ab⁵What is the equation of the line that has a slope of -2 and passes through the point (1,2)
(show ur work) You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
answer choices
$8 per pound
$35 per pound
$5 per pound
$0.125 per pound
Answer:
8 dollars per pound
Step-by-step explanation:
40 divided by 5 will give you the $/lb
40/5=8 so its $8/lb
In meteorology the term virga refers to falling raindrops or ice particles that evaporate before they reach the ground. assume that a typical raindrop is spherical. starting at some time, which we can designate as t = 0, the raindrop of radius r0 falls from rest from a cloud and begins to evaporate.
what are the perimeter and area of a triangle with a length of 20 in. and a width of 15 in?
Answer:
Area- 150 Perimeter- 60
Hope This Helps! :) Please Give Brainliest if this helped you!
Use the graph to answer the question.
On a coordinate plane, a circle has center (4, negative 1) and radius of 5.
Which equation describes the circle?
(x – 4)2 + (y + 1)2 = 25
(x – 4)2 + (y + 1)2 = 5
(x + 4)2 + (y – 1)2 = 25
(x + 4)2 + (y – 1)2 = 5
Answer: A
A farmer needs to construct a square fence with an area of 121 square feet to hold farm animals. how long does each side of the fence have to be to fulfill his 121 square foot requirement?
Answer:
The side length of the square is 11 feet.
Step-by-step explanation:
Let S = side length
Let A = area
[tex]A = S^{2}\\121 = S^{2}\\\sqrt{121} =\sqrt{S^{2} } \\S = 11[/tex]
The sum of two numbers is 3. Their difference is 13. Find the numbers.
Answer:
The numbers are
5
and
8
Step-by-step explanation:
We know:
m
−
n
=
3
And we know:
m
+
n
=
13
Next, solve the first equation for
m
:
m
−
n
+
n
=
3
+
n
m
−
0
=
3
+
n
m
=
3
+
n
Then, substitute
3
+
n
for
m
in the second equation and solve for
n
:
m
+
n
=
13
becomes:
(
3
+
n
)
+
n
=
13
3
+
2
n
=
13
−
3
+
3
+
2
n
=
−
3
+
13
0
+
2
n
=
10
2
n
=
10
2
n
2
=
10
2
2
n
2
=
5
n
=
5
Now, substitute
5
for
n
in the solution to the first equation and calculate
m
:
m
=
3
+
n
becomes:
m
=
3
+
5
m
=
8
The solution is:
n
=
5
and
m
=
8
[tex]\text{Let the two numbers be x and y}\\\\x+y=3~~~.....(i)\\\\x-y=13~~~.....(ii)\\\\\text{(i)+(ii):}\\\\x+y+x-y = 3+13\\\\\implies 2x = 16 \\\\\implies x = \dfrac{16}2 = 8\\\\\text{(ii)-(i):}\\\\x-y-x-y=13-3\\\\\implies -2y=10\\\\\implies y= -5\\\\\text{Hence the numbers are }~8~\text{and}~ -5[/tex]
In which quadrant is the point (4, -5)? II I IV III
Answer:
Quadrant IV
Step-by-step explanation:
You can easily find in which quadrant a point lies using this key :
Quadrant I = (+ , +)Quadrant II = (- , +)Quadrant III = (-, -)Quadrant IV = (+, -)We have the coordinate (4, -5)
x-coordinate is positivey-coordinate is negativeIt lies in Quadrant IVAnswer:
Quadrant IV
Step-by-step explanation:
The Cartesian plane is divided into 4 quadrants.
Quadrant I is the top right quadrant, where x and y are positive.
We then move in a counterclockwise direction for quadrants II, III and IV.
Therefore:
Quadrant I: (x, y)Quadrant II: (-x, y)Quadrant III: (-x, -y)Quadrant IV: (x, -y)As point (4, -5) has a positive x-value and a negative y-value, it will lie in Quadrant IV
Christina is 11 years older than caden. the sum of their ages is 35. how old is christina? how old is caden?
Answer:
Caden is 11 and Christina is 24.
Step-by-step explanation: IF we know the sum of their ages is 35, then we can do the math. 35 - 11 = 24
So this means we know two ages 11 and 24.
The only thing left to do is to figure out who's age is who's. We know that Christina is older so she has to be 24 year old and Caden would be younger.
I hope this helps!
21 POINTS!
Joseph wants to buy a tennis racket and some cans of tennis balls.
The tennis racket costs $85.
Each can of tennis balls costs $2.50.
There is no sales tax.
Joseph has $125 to spend. Which inequality shows how many cans of tennis balls Joseph can buy, x?
A. 2.50x + 85 < 125
B. 2.50x + 85 ≤ 125
C. 2.50x + 85 > 125
D. 2.50x + 85 ≥ 125
Answer:
B. 2.50 + 85 ≤ 125
Step-by-step explanation:
The total cost of this puurchase must be less than or equal to 125 that is why we use "≤" in this situation, this means that the total of the equation must be equal or equal to 125 exactly
