Answer:
Area of the circle is 6.25π sq.unit
Step-by-step explanation:
The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at (5+22,5+12)or(72,3),which is centre. Radius is the distance from end point (5,5)to centre (72,3)∴r=√(5−72)2+(5−3)2=√1.52+4=√6.25=2.5∴
Area of the circle is Ac=π⋅r2=π⋅2.52=6.25π sq.unit[Ans]
The Area of Circle whose endpoints of a diameter of a circle are A (2,1) and B(5,5) is 6.25 sq unit.
What is Distance Formula?If there are two points in the coordinates plane as P(a, b) and Q(c, d) then the distance between these two points are
PQ = √(c- a)² + (d-b)²
We have the endpoints of a diameter of a circle are A (2,1) and B(5,5).
Now, using Distance Formula
d= √{(x2 - x1)² + (y2 - y1)²}
Here, x1 = 2; y1 = 1; x2 = 5; y2 = 5
d = √{(5 - 2)² + (5 - 1)²}
d = √{(3)² + (4)²}
d = √{9 + 16}
d = √25
d = 5 unit
Now, Area of Circle
= πr²
= 3.14 x 2.5 x 2.5
= 6.25π sq units
Learn more about Distance Formula here:
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Evaluate.
−|a+b|/2−c when a=178 , b=−1 , and c=−4
Enter your answer as a simplified fraction in the box.
a=1-7/8=15/8
b=-1
c=-4
[tex]\\ \sf\longmapsto \dfrac{-|a+b|}{2-c}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-|\dfrac{15}{8}-1|}{2-(-4)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-|\dfrac{7}{8}|}{2+4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{-7}{8}}{6}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-7}{8(6)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-7}{48}[/tex]
Answer:
-7/48
Step-by-step explanation: I took the test
3. The ratio of milk water in 55 liters of Adultered milk is 7:4. How much water must be added to make the mixture Ratio of 7:6? a)5 liters b)10 liters c)15 liters
Answer:
The answer is B 10 L
Step-by-step explanation:
let milk and water in the mixture be 7x and 4x equal 55L
[tex]7x + 4x = 55 \\ 11x = 55 \\ x = 5[/tex]
[tex]7(5) = 35l \: milk \\ 4(5) = 20l \: water[/tex]
let x Liters of water he added so that the ratio is 7:6
[tex] \frac{35l \: milk}{20l \: water + x} = \frac{7}{6} [/tex]
cross multiply
[tex]35l \: milk \times 6 = (20l \: water + x)7 \\ 210l \: m= 140l \: w + 7x \\ 210l \: m - 140l \: w = 7x \\ 70l = 7x \\ \frac{70}{7} = \frac{7x}{7 } \\ x = 10 l \: water[/tex]
2x=16−2 Value of x ?
Answer:
x = 7
Step-by-step explanation:
2x = 16 - 2
2x = 14
x = 14 / 2
x = 7
Answer:
[tex]\sf\longmapsto \: x = 7[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 2x = 16 - 2[/tex]
[tex]\sf\longmapsto \: 2x = 14[/tex]
[tex]\sf\longmapsto \: x = \frac{14}{2} [/tex]
[tex]\sf\longmapsto \: x = 7[/tex]
if a(12)= x/3+2 and b(x)=12x, what is a(12)+b(1)?
Answer:
[tex]a(12) = 12 \div 3 + 2 \\ + b(1) = 12 \times 1 \\ = 4 + 2 + 12 = 18[/tex]
PLEASEEEEEEE HELLPPPPP
Answer:
a) 3.5metres
b) 34metres
Consider the quadratic function f(x)=8x2−7x+6. What is the constant of the function?
Answer:
6 is the constant :
because it is never going to change
f(x), and others that contain x will change based on the value x
Since 6 doesn’t have the c with it it will be constant
Is 2 pi 9 inches rational or irrational
see budy your answer is very simple and that's 2 pi 9 inches is a rational number
5) Find the numbers:
a. 0.75 of what number is 9?
b. 0.8 of what number is 8?
Answer:
12
10
Step-by-step explanation:
You have a bag filled with different colored poker chips. In the bag, there are 5 red chips, 16 grey
chips, 4, black chips, 7 blue chips, and 13 green chips. What is the ratio of the number of total chips to
the number of red AND blue chips
Answer:
45:12
Step-by-step explanation:
5 + 16 + 4 + 7 + 13 = 45
5 (red) + 7 (blue) = 12
A water hose had filled up of 1/2 a pool after 1/2 of an hour. At this rate, how
many hours would it take to fill the pool?
Answer:
1 hour
Step-by-step explanation:
1/2 hour:1/2 pool
1/2x2 hour:1/2x2 pool
1 hour: 1pool
a child has a collection of football cards. they are to be kept in a folder with 9 cards on each page.the child has 28 complete sets of 12 cards. how manypages will be needed to store the cardss?
Answer:
37.7
Step-by-step explanation:
What is the inequality shown?
The Inequality shown here is :
[tex] - 3 \leqslant x < 2[/tex]Help plssssssssssssssss
Answer:
both
Step-by-step explanation:
The mean and the median give the same information, so it doesn't matter which one she chooses.
the midpoint is AB is M (4,-5) if the coordinates of A are (6,-4) what are the coordinates of B
Answer:
The answer of this question is 5&-9÷2
Paige bought 1.06 pounds of what is 42.05 what does the lettuce cost per pound pounder to the nearest cent help please
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1.6 pounds of lettuce costs :
$ 42.051 pound of lettuce costs :
$ 42.05 ÷ 1.06$ 39.66 per poundJohn's phone bills for the last five months are $24.71, $22.13, $19.87, $27.33, and $26.76.
Find John's mean phone bill over this period.
Answer:
$24.16
Step-by-step explanation:
NO LINKS PLEASE HURRY I REALLY NED HELP!!!
Answer:
The answer is D
Step-by-step explanation:
-7.6+4.17= -3.43x
3.54-1.32= 2.22
URGENT JUST THE FIRST QUESTION
Step-by-step explanation:
gradient=3/3=1
that is the answer
A little confused here!
Hey guys. I just need someone's help to clarify things with me.
As I was doing the equations, I got to:
x^-1
-----
x^13
I moved the x^-1 down to x^13 so they'd subtract. But when I did, x^-1 became positive.
So it became x^13 times x^1
Radical Rule: a^n x a^m is pretty much a^n+m
So my answer was 14.
How did x^-1 become positive in this case?
Step-by-step explanation:
Given [tex]\frac{x*x^{-2} }{x^{13}}[/tex]
= [tex]\frac{x*x^{-2} }{x^{13}} = \frac{x^{-1} }{x^{13}}[/tex]
According to the Negative Exponent Rule, [tex]a^{-n} = \frac{1}{a^{n}}[/tex]
Therefore, [tex]\frac{x^{-1} }{x^{13}} = \frac{1}{x^{1}*x^{13}} = \frac{1}{x^{13+1}}= \frac{1}{x^{14}}[/tex]
In other words, [tex]x^{-1}[/tex] became positive because of the Negative Exponent Rule. Once you bring [tex]x^{-1}[/tex] down towards the denominator, you're essentially removing its negativity and turning its exponent into a positive value. Once that takes place, then you could apply the Product Rule of Exponents onto the exponents in the denominator, where it states, [tex]a^{m}a^{n} = a^{m+n}[/tex].
Please mark my answers as the Brainliest if you find my explanations helpful :)
4343555555555555555X466666666666646
Suppose 96% of students chose to study Spanish their freshman year, and that meant that there were 504 such students. How many students chose not to take Spanish their freshman year?
Answer: pls mark brainliest
20.24 students
96 percent of 506 is 485.76
506 - 485.76 = 20.24
What is the answer to 0.2x10=
0.2 × 10 = 2
u can check a calculator
look at the photo.
Which expression is equivalent to the given expression? 10q +5
due at 5:30 pls help asap
Which of the following fractions is a proper fraction?
Answer:
A
Step-by-step explanation:
because the numerator is less than denometer
Answer:
The answer is A
Explaination
for a fractions to be proper the denominator must be greater than the numerator
5=numerator
8= denominator
Suppose that the value of a stock varies each day from $12.82 to $33.17 with
a uniform distribution.
Find the third quartile; 75% of all days the stock is below what value?
Answer:
$28.08
Step-by-step explanation:
$33.17 - $12.82 = $20.35
75% of $20.35 = $15.26
$15.26 + $12.82 = $28.08
A giant thresher shark weighing 1250 pounds, believed to be the heaviest ever caught, was landed by fisherman Roger Nowell off the Cornish coast in November 2007. The fish was sold by auction at Newlyn Fish Market for £255. Roughly, what was the cost per pound?
What is the measure of the angle formed by the minute hand and hour
hand of a clock in each case?
at 6 o'clock
at 4 o'clock
at 3 o'clock
PLEASE HELP ASAP PLEASE
Answer:
180 degrees, 120 degrees, 90 degrees
Step-by-step explanation:
each hour is 30 degrees.
at 6 o'clock the hands are straight, at 4 o'clock they make a 120 degree angle, and at 3 o'clock they make a right angle
Find the indicated side measure.
Help pls!!!!!!!
Answer:
t=8
DE=8
KL=33
AB=[tex]\frac{127}{13}[/tex]
Step-by-step explanation:
40=5t ÷ t=8
5x-12=3x-4 combine like terms 2x=8 x=4
10x+3=3x+24 combine like terms 7x=21 x=3
[tex]\frac{3}{2}x+4=\frac{1}{5}x+9[/tex] combine like terms 13x=50 [tex]x=\frac{50}{13}[/tex]
What is the length of the line?
Answer:
its A 6.5................
Write an equation in point-slope form for the line that passes through the given points.
(4,−6), (6,−4)
Answer:
y=x-10
Step-by-step explanation:
slope equal to
[tex]m = \frac{ - 4 - ( - 6)}{6 - 4} = \frac{2}{2} = 1[/tex]
y=mx+c(constant)
-6=1×4+c, then c=-10