Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
After simplification, the value of 1-2/1(1+2)-3/(1+2)(1+2+3)-4/(1+2+3)(1+2+3+4)-...-100/(1+2+...+99)(1+2+...+100)
is a proper fraction in its lowest form. Find the difference of its numerator and denominator.
Answer: no
Step-by-step explanationn. .......................................................w:eorkeok,feoferkeorkoe
It’s solution in step by step explanation pls help
Answer:
6) [tex]x^2 -4x+1[/tex]
7) 26x-1y +4z
Step-by-step explanation:
long division
____[tex]x^{2}[/tex]__-4x__+1____
x-2 | [tex]x^3-6x^2+9x-2[/tex]
- [tex]x^3-2x^2[/tex]
-----------
[tex]-4x^2+9x[/tex]
[tex]-4x^2+8x[/tex]
----------------
x-2
x-2
Express (5a to the power 2) x (2b to the power 2) x (c) as a power of a product.
Answer:
50 a^2 b c^2
Step-by-step explanation:
I'm quite confused about your question, but I try my best. I have attached the explanation above. Hopefully this will help
Write an
equivalent expression by distributing the
"---"
sign outside the parentheses:
-(3.9d + 10)
Answer of this question
-3.9d-10if 2^a =0.5 and 5^b=125, what is the value of a^b +b^a?
9514 1404 393
Answer:
-2/3
Step-by-step explanation:
2^a = 0.5 = 2^-1 ⇒ a = -1
5^b = 125 = 5^3 ⇒ b = 3
Then the expression a^b +b^a is ...
a^b +b^a = (-1)^3 +3^(-1) = -1 +1/3 = -2/3
The equation below has one solution. 9 x minus 10 = 3 x + 2 What is the solution to the equation? –2 –1 1 2
Answer:
x=2
Step-by-step explanation:
Please help the question is in the photo
Answer:
Click C.
√65,17/2,8.9,3^2,√100
Have a blessed day B)
Answer:
C √65,17/2,8.9,3^2,√100
Step-by-step explanation:
from least to greatest
√65=8.06
17/2=8.5
8.9
3^2=9
√100=10
On a coordinate plane, triangle F D E has points (negative 3, 3), (negative 1, negative 1), (negative 3, negative 1). Triangle C B A has points (3, 3), (3, negative 1), (1, negative 1).
What happens to a point when it is reflected over the y-axis?
The coordinates stay the same.
The x-coordinate changes.
The y-coordinate changes.
Both coordinates change.
Answer:
When a point is reflected across the y axis the values of x change. They become negative values of x.
Answer:
(B) The x-coordinate changes.
Step-by-step explanation:
What is the value of k?
Answer:
Step-by-step explanation:
recall that the inside angles of a triangle add up to 180°
and also that the angle 115° is the other part of a 180° total
180=115+y
180-115 =65
then the inside angle at Y is 65°
add the three inside (interior of the triangle) angles up
180= 65 + (4k+5) + (6k+10)
180 = 65 + 10k + 15
180 = 80 + 10k
100 = 10k
10 = k
see how I did that?
Which one of the following options is true when considering the expansion of
the binomial expression (x + y)6?
A. The first term of the expansion of (x + y)^6 is x3y3.
B. The coefficients of the expansion of (x + y) are: 1,6, 15, 15, 6, 1.
c. The expansion of (x + y)^6 will yield 7 terms.
D. The sum of the exponents of each term of the expansion of
(x + y)^6 is 5
Answer:
c The expansion of (x + y)^6 will yield 7 terms
Step-by-step explanation:
(x + y)^6 =
x^6 +6x^5y + 15x^4y^2 + 20x^3y^3 + 15x^2y^4 + 6xy^5 + y^6
so its a no on A
its a no on B because its missing a 20
its a yes on c
its a no on d because the sum is 6
so c
Juilo spent $64 and now has no money left.He( )had before his purchase
Answer:
64->-?
Step-by-step explanation:
he spent 64 and now he has none so he spent all his money
Thanks for helping me two more problems
Answer:
A. Energy (weight)
Step-by-step explanation:
Mark me as brainiest
Pleaseeeeeee help its late and i have to get up for camp tmr but I HAVE to finish this :(
Answer:
a. ALL
Step-by-step explanation:
for a relation to be a function it must have exact one output for an input. since all tables have one output for a given input all are functions.
help with this plzzzz, i need perimeter and area plzzzz steps if possible will mark brainlest!!!!!!!!!!!!!!!!!!!!!
Answer:
Area: 125
Perimeter: 60
Step-by-step explanation:
I got this answer by calculating the area and perimeter. To find the area, multiply length x width. To find the perimeter, you have to add your length and width two times.
. You have a job as a salesman. You make $15.00 an hour (h) plus a
commission of 5.5% on all of your sales (s). Create an equation that
will show your pay (p) based upon your hours (h) worked and sales
(s).
Answer:
wait what
Step-by-step explanation:
use r = 27 and x = 3
- r 9 _ + 5x
Answer:
-228
Step-by-step explanation:
someone help me for this algebra task please
Answer:
The last one is the answer
Answer: For each hour that Michelle drove, she travelled an additional 50 miles.
Step-by-step explanation:
Test each option to see its accuracy
Calculate the slope:
[tex](x_{1}, y_{1}) = (7, 0)\\(x_{2}, y_{2}) = (0, 350)\\ \\\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{350-0}{0-7} =\frac{350}{-7} =-50[/tex]
This means that Michelle drove 50 miles per hour.
The other three options are wrong because if you bring in:
x = 6x = 3into your function- y = -50x + 350, you would not get the stated miles.
Solve the problem Von rolls a ball on the ground at an angle of 23° to the right of his dog Bingo. If the ball rolls a total distance of 48 feet, and he is standing 30feet away, how far will Bingo have to run to retrieve the ball
Answer:
Use the law of cosines: a = 30, b = 48, c = distance dog runs
a^2 + b^2 - 2 a b cos theta = c^2
900 + 2304 - 2650 = c^2 = 554 c = 23.5 ft
Can someone help me with this math homework please!
Answer:
the correct options are 1, 2, 5, and 6th
1. and 2.
all functions have a dependant variable y and independent variable x, and the set of dependant variables is called its range whereas the set of independent variables is called its domain.
5. and 6.
In a horizontal line 1 input associates itself with exactly one ouput, even tho the output is constant (same) for all values of x, and that's the property of a function
Answer:
all functions have dependent variables
all functions have an independent variable
a horizontal line Is an example of a functional relationship
A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a side of the water tank.
Given:
Volume of cubical tank = [tex]\dfrac{1000}{125}[/tex] cubic meters.
To find:
The length of a side of the water tank.
Solution:
The volume of a cubical tank is:
[tex]V=a^3[/tex]
Where, a is the side length.
It is given that the volume of cubical tank is [tex]\dfrac{1000}{125}[/tex] cubic meters. So,
[tex]a^3=\dfrac{1000}{125}[/tex]
[tex]a^3=\dfrac{(10)^3}{5^3}[/tex]
Taking cube root on both sides, we get
[tex]a=\dfrac{10}{5}[/tex]
[tex]a=2[/tex]
Therefore, the length of a side of the water tank is 2 meters.
can someone please help me with this question? I have been stuck on it for a while now
Answer:
w = 12 cm and l = 20 cm
Step-by-step explanation:
A right triangle has one angle that measures 70 degrees what is the measure of the other acute triangle
Answer:
20
Step-by-step explanation:
180 - 90 - 70 = 20
The sum of all angles in a triangle equals 180.
Triangle Sum Theory
6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface area, in cm², that needs to be painted? (Take pi to be 3.142.)
7. A tank in the shape of a cylinder of diameter 2.4 m and height 6.4 m contains oil to the brim. Find the number of complete cylindrical containers of base radius 8.2 cm and height 28 cm which can be filled by the oil in the tank.
Please help with the 2 questions. thank you!!
Unhelpful answer will be deleted ❌
Correct answer + with explanation will be chosen as the Brainliest Answer ✅
Answer:
6) About 19,244.75 square centimeters.
7) About 4895 containers.
Step-by-step explanation:
Question 6)
We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.
First, since the diameter is 35 mm, this is equivalent to 3.5 cm.
The radius is half the diameter, so the radius of each cylinder is 1.75 cm.
Recall that the surface area of a cylinder is given by the formula:
[tex]\displaystyle \text{SA}=2\pi r^2+ 2\pi rh[/tex]
Where r is the radius and h is the height.
Therefore, the surface area of a single cylinder will be:
[tex]\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2[/tex]
Then the total surface area for 200 cylinders will be:
[tex]\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2[/tex]
Question 7)
We know that the tank has a diameter of 2.4 m and a height of 6.4 m.
Since its diamter is 2.4 m, then its radius is 1.2 m.
Find the total volume of the tank. The volume for a cylinder is given by:
[tex]\displaystyle V=\pi r^2h[/tex]
Since r = 1.2 and h = 6.4:
[tex]\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3[/tex]
Each container has a base radius of 8.2 cm and a height of 28 cm.
So, the radius of each container is 0.082 m and the height is 0.28 m.
Then the volume of each container is:
[tex]\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3[/tex]
Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:
[tex]\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895[/tex]
Thus, approximately 4895 containers can be filled.
Answer:
6) About 19,244.75 square centimeters.
7) About 4895 containers.
Step-by-step explanation:
Question 6)
We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.
First, since the diameter is 35 mm, this is equivalent to 3.5 cm.
The radius is half the diameter, so the radius of each cylinder is 1.75 cm.
Recall that the surface area of a cylinder is given by the formula:
Where r is the radius and h is the height.
Therefore, the surface area of a single cylinder will be:
Then the total surface area for 200 cylinders will be:
Question 7)
We know that the tank has a diameter of 2.4 m and a height of 6.4 m.
Since its diamter is 2.4 m, then its radius is 1.2 m.
Find the total volume of the tank. The volume for a cylinder is given by:
Since r = 1.2 and h = 6.4:
Each container has a base radius of 8.2 cm and a height of 28 cm.
So, the radius of each container is 0.082 m and the height is 0.28 m.
Then the volume of each container is:
Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:
For a right triangle ABC, you are told that cos A = x and sin A = y. Which option below gives an expression that is equivalent to tan A? a. x/y b. y/x c. x/√x^2+y^2 d. y/√x^2+y^2
Answer:
B
Step-by-step explanation:
We know that
cos A = adjacent / hypotenuse
sin A = opposite / hypotenuse
Therefore, sin A / cos A =
(opposite / hypotenuse) / (adjacent / hypotenuse)
= (opposite/hypotenuse) * (hypotenuse / adjacent)
= opposite / adjacent
= tan A
Therefore, tan A = sin A / cos A = y/x
Find P(5) given P(x) = 4 - 1
Answer:6
Step-by-step explanation:
sorry if im wrong
If z varies jointly as x and y and inversely as w^2?, and
z = 72 when x = 80, y = 30 and
w=5, then find z when x = 20, y = 60 and w=9.
Answer:
Step-by-step explanation:
z = (k*x*y) / w²
Where,
k = constant of proportionality
z = 72 when x = 80, y = 30 and w = 5
z = (k*x*y) / w²
72 = (k * 80 * 30) / 5²
72 = 2400k / 25
Cross product
72 * 25 = 2400k
1800 = 2,400k
k = 2,400/1800
k = 24/18
= 4/3
k = 1 1/3
k = 1.33
find z when x = 20, y = 60 and w=9
z = (k*x*y) / w²
z = (1.33 * 20 * 60) / 9²
z = (1596) / 81
Cross product
81z = 1596
z = 1596/81
z = 19.703703703703
Approximately,
z = 19.7
M and t intersects lines l an6d m.
Find the m angle 8.
A. 145
B. 35
C. 55
D. 75
Answer:
B. 35°
Step-by-step explanation:
m<4 = x + 20
m<8 = 2x + 5
✔️First, find the value of x:
m<4 = m<8 (corresponding angles are equal)
Substitute
x + 20 = 2x + 5
Collect like terms
x - 2x = -20 + 5
-x = -15
Divide both sides by -1
x = 15
✔️Find m<8:
m<8 = 2x + 5
Plug in the value of x
m<8 = 2(15) + 5
m<8 = 30 + 5
m<8 = 35°
Helpppppp!!!!!!!!!!and explain too
Answer:
Relation
Explanation:
The definition of a relation is just a set of ordered pairs.
A function is a relation in which each domain element is paired with exactly one range element.
It can't be a function because if it is a vertical line, then the x-value is the same for the whole line.
I hope that helps a bit
PLEASE PLEASE HELP ILL GIVE BRAINLY
Answer:
In this case, we can do substitution.
Step-by-step explanation:
For the first one, (s - t)(x) = ((x - 5) - 4x^2)(x) = x^2 - 21x
For the second one, (s*t)(x) = ((x - 5) *4x^2)(x) = 4x^4 - 20x^3
And for the last one, (s+t)(-2) = ((x - 5) + 4x^2)(-2) = -8x^2 - 2x + 10
Hope your happy with the answer :)
What is the decimal equivalent of
9
22
?
