Answer:
(x – 3)^2+ (y +2)^2 = 36
Step-by-step explanation:
Given data
The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,
where (h, k) represents the coordinates of the center of the circle
h=3
k=-2
r= 6
Substitute
(x – 3)^2+ (y – (-2))^2 = 6^2
(x – 3)^2+ (y +2)^2 = 36
Hence the expression for the equation of the circle is
(x – 3)^2+ (y +2)^2 = 36
A cow is tethered with a rope 20 m long. What is the maximum area the cow can graze? with a decimal
Find the range of this data set:225, 342, 288,552, 263.
Answer:
327
Step-by-step explanation:
552-225
Help please with this math ;-; I beg of you
Answer:
49 - 9π
Step-by-step explanation:
Area of white portion = area of triangle - area of circle
To find the area of the triangle:
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height
The height given is 7m and the base length given is 14m
That being said we plug in the given values into the formula
[tex]\frac{14*7}{2} \\14*7=98\\\frac{98}{2} =49[/tex]
Hence, the area of the triangle is 49 sq meters.
To find the area of circle
( note that the area is in terms of pi; shown by the answer choices. )
Formula for area of a circle = [tex]A=\pi r^2[/tex]
We are given the diameter ( 6m )
However, we need the radius
To convert diameter to radius we divide by 2
6/2 = 3 so the radius = 3m
Now we plug in 3 into the formula
[tex]A=\pi 3^2\\3^2=9\\A=9\pi[/tex]
Remember we do not apply pi because the answer should be in terms of pi.
Now we subtract the two
Area of white portion = 49 - 9π
Hence, the answer is A
Answer:
49 - 9π
Step-by-step explanation:
Hope this helps
Please help asap first correct answer will get the brainly crown
25x-22.5=12x+22.5+2x
a dog is leashed 48 feet to the corner of a house.howmuch running area does the dog have?
Answer:
The dog has 1357.5 square feet of running space.
Step-by-step explanation:
48 feet is the diameter of the circle in which the dog can run, minus 1/4 of the total circle (assuming the dog can not run through walls).
The formula of how to find the area of a circle is...
A = π r²
A stands for area, pi(π) is 3.14, and r means radius.
Radius is half of the diameter, so the radius would be 24 feet. Let's plug those numbers into the formula:
A = π x 24²
A = π x 576
A = 1809.56 square feet
Now, we have to subtract 1/4 of 1810 (rounded up).
1810 times 0.75 = 1357.5 feet.
I hope this helps you! :-)
I would really like some help with this. If anyone is able to help me.
Answer:
are not
Step-by-step explanation:
it is clear I can explain in the comment section ... because I don not want you to lose time
PLEASE HELP!!!!!!!!!!!
What is the domain of the function on the graph?
Which is true of the proportional relationship below? Bread Recipe 10 8. 6 Flour (cups) 2. 0 1 2 3 4 5 6 Number of Eggs
Answer:
Now, you might immediately recognize that this is a proportional relationship. And remember, in order for it to be a proportional relationship, the ratio between the two variables is always constant. So, for example, if I look at y over x here, we see that y over x, here it's four over one, which is just four.
Step-by-step explanation:
Solve for x! Please try and show work. ANSWER ASAP SCAM ANSWERS WILL BE REPORTED. Also will award brainliest to CORRECT answer
Answer:
x = 12 degrees
Step-by-step explanation:
m < LNM = (70+136)/2
= 206 / 2
= 103 degrees
So 7x + 19 = 103
7x = 103 - 19 = 84
x = 84/7
x = 12.
The average marks of 10 students is 41. If the average marks of the top 6 and bottom 5 rankers are 45 and 36 respectively, how much did the
5th ranker score?
a. 41
b. 42
c. 43
d. 40
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Solve the system of equations below by graphing them with a pencil and
paper. Enter your answer as an ordered pair.
y=-x+1
y=-2x+ 5
How much change would you get from
£10 if you spent £1.43 and £1.115
Answer:
£7.455
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
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Solve for q.
3/5 = q/10
q=?
please help me!!!! i’m so bad a mathhhh
Answer:
22x^2+21x+10
brainliest?
Step-by-step explanation:
Answer:
The 4the bubble
Step-by-step explanation:
It is pretty much combining like terms. 22x² is alone since there is no other variable that has an x², so it will be left alone. However, there is 14x and -7x, they both have an x, so that makes them like terms. Combine those and you get 14x minus 7x which is 7x. The number 10 has no other like term to combine with so it can be left alone as well, so just put them all together in the end (simplify). Which would be 22x² + 7x + 10
A fire department's ladder is 110 feet long. A firefighter is trying to reach the top of a 100 foot building by leaning the ladder against the building. What is the angle of elevation for the rescue ladder?
Answer:
sin-¹(10/11)
Step-by-step explanation:
The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .
We can use ratio sine here. Let the angle of elevation be theta.In ∆ ABC :-
=> sinθ = p/h
=> sinθ = 100ft / 110 ft
=> sinθ = 10/11
=> θ = sin -¹ ( 10/11) .
Hence the angle of elevation is sin -¹ ( 10/11).Median of 93 87, 81, 80, 78, 95, 83, 81, 76, 74, 88, 86, 85, 76, 60,
Answer:
The answer is median :81
Step-by-step explanation:
Use the equation below to find c, if a = 43 and b = 49. c=180-a-) ?
Answer:
88
Step-by-step explanation:
43 + 49= 92.
Then 180 - 92= 88
C= 88
Find the indicated measure. Assume that lines which appear to be diameters are diameters.
Answer:
The measure of the angle is 120 degrees
Step-by-step explanation:
Here, we want to find the measure of the angle
Mathematically, the sum of angles at a point ( the center of the circle in this case) is equal to 360 degrees
We have the measures 150 degrees and 90 degrees; by adding this two and subtracting from 360, we will have the measure of the the marked angle
Thus, we have this as;
360 - (150 + 90)
= 360-240
= 120
Evaluate.
n ÷ 3 + 3 x 7 for n = 12
A. 4/21
B. 9 1/3
C. 25
D. 49
A rectangle has a perimeter of 46 meters and a base of 8 meters. What is the height?
Answer:
15 metres
Step-by-step explanation:
perimeter of rectangle = 2(base + height)
=2(8+h) = 46
= 16 + 2h = 46
= 2h = 46 - 16
= 2h = 30
= h = 15
15 metres is the height of rectangle
Steven has 17 baseball caps. He has 2 blue caps and he has 3 more green caps than blue ones. The rest of his caps are black.
How many black caps does Steven have?
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
What is the solution to the following system of equations
5x + 4y = 40 6x + 4y =44
Answer:
X=4, y=5
Step-by-step explanation:
5x + 4y =40 equation 1
6x + 4y =44 equation 2
-1(5x + 4y)=-1(40) multiply equation 1 by -1 so equation will eliminate y
-5x - 4y=-40 modif equation 1
6x + 4y= 44 equation 2
x=4. Add above 2 equations
solve for y:
5x + 4y =40
5(4)+4y=40
20+4y =40
4y=20
y=5
check solution ;
6x+4y=44
6(4) + 4(5)=44
24 + 20=44
44=44
Find the area of the kite below.
Answer:
160 unit^2.
Step-by-step explanation:
Area = xy/2 where x and y are the length of the diagonals, so here:
Area = (16*20)/2
= 320/2
= 160.
Which inequality has the solution shown?
Karen's garden measures 4.8 feet wide and 19.32 feet long. What is the area of her garden in square feet?
Answer:
92.736
Step-by-step explanation:
A = L* W
A = 4.8 * 19.32
A = 92.736
enter the coordinates of the point on the unit circle at the given angle 180 degrees
The coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).
What is a unit circle?A unit circle is just a circle that has a radius with a length of 1. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.
The given drawing is the graph of the unit circle on the X – Y Coordinate Axis.
It can be seen from the graph, that the unit circle is defined as having a Radius ( r ) = 1.
Going from Quadrant I to Quadrant IV, counter clockwise, the Coordinate points on the axis of the unit circle are:
(1, 0), (0, 1), (-1, 0), and (0, -1)
This is important to remember when we define the X and Y Coordinates around the unit circle. The Unit Circle has 360°. In the given graph, the Unit Circle is divided into 4 Quadrants that split the unit circle into 4 equal pieces. Each piece is exactly 90°.
From the diagram we can clearly say that the coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).
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Mark's father travels 463 miles every month for his job. How many miles does he travel in 8 months? A 3,204 miles B 3,284 miles 3,604 miles D 3.704 miles
Answer:
D 3,704
Step-by-step explanation:
Answer:
the answer is 3,704
Step-by-step explanation:
wouldn't you just multiply 483 by so the answer is 3,704
7x7x7 x 7 7 can be simplified to:
A 57
B 75
C 7x5
D 75
E 77 777
Answer:
77777
is correct answers
A rectangle has a perimeter of 6 feet.
Choose all the possible dimensions of the rectangle.
A. 1 foot by 2 feet
B. 1 foot by 5 feet
C. 2 feet by 1 foot
D. 2 feet by 4 foot
E. 3 feet by 3 feet
F. 4 feet by 2 feet
G. 5 feet by 1 foot
Option (A) 1 foot by 2 feet and option (C) 2 feet by 1 foot satisfy the perimeter given. Thus options A and C are correct.
What is a rectangle?"A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles".
For the above situation,
The length of the rectangle be 'l'
The breadth of the rectangle be 'b'
Perimeter of the rectangle, P = 2(l+b)
Option A : 1 foot by 2 feet
Here, l = 1 feet and b = 2 feet
⇒ [tex]P=2(l+b)[/tex]
⇒ [tex]P=2(1+2)\\[/tex]
⇒ [tex]P=6[/tex]
This perimeter is equal to the perimeter of the rectangle. Thus option A is correct.
Option B : 1 foot by 5 feet
Here, l = 1 and b = 5 feet
⇒ [tex]P=2(1+5)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option B is not correct.
Option C : 2 feet by 1 foot
Here, l = 2 and b = 1 feet
⇒ [tex]P=2(2+1)[/tex]
⇒ [tex]P=6[/tex]
This perimeter is equal to the perimeter of the rectangle. Thus option C is correct.
Option D : 2 feet by 4 foot
Here, l = 2 and b = 4 feet
⇒ [tex]P=2(2+4)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option D is not correct.
Option E : 3 feet by 3 feet
Here, l = 3 and b = 3 feet
⇒ [tex]P=2(3+3)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option E is not correct.
Option F : 4 feet by 2 feet
Here, l = 4 and b = 2 feet
⇒ [tex]P=2(4+2)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option F is not correct.
Option G : 5 feet by 1 foot
Here, l = 5 and b = 1 feet
⇒ [tex]P=2(5+1)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option G is not correct.
Hence we can conclude that option (A) 1 foot by 2 feet and option (C) 2 feet by 1 foot satisfies the perimeter given. Thus options A and C are correct.
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