The round hole in the square machine part is an inscribed circle
The equation of the circle is [tex](x - 2)^2 + (y - 2)^2 = 1[/tex]
How to determine the equation of the circleThe corner of the square machine part is said to be at the origin.
This means that, the coordinates of the machine parts are:
(x,y) = (0,0), (4,0), (4,4) and (0,4)
Calculate the midpoint of the diagonals, to determine the midpoint of the circle.
(x,y) = 0.5 * (0 + 4, 4 + 0)
This gives
(x,y) = (2,2)
The diameter of the circle is:
d = 2 inches
Divide by 2 to calculate the radius
r = 1 inch
The equation of a circle is represented as:
[tex](x - a)^2 + (y - b)^2 = r^2[/tex]
Where:
Center = (x,y) = (a,b) = (2,2)
So, we have:
[tex](x - 2)^2 + (y - 2)^2 = 1^2[/tex]
Evaluate the square of 1
[tex](x - 2)^2 + (y - 2)^2 = 1[/tex]
Hence, the equation of the circle is [tex](x - 2)^2 + (y - 2)^2 = 1[/tex]
Read more about circle equations at:
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Add these signed nu embers mentally, from left to right. (2+) + (-10) + (+1) + (+3)
Answer:
(-4)
Step-by-step explanation:
Positive 2 plus negative 10 equals negative 8, plus positive 1 equals negative 7, plus positive 3 equals negative 4.
Help anyone!!!!!!!!!
Answer:
V=26.25in^3
Step-by-step explanation:
V=whl
=5·1.5·3.5
=26.25
Because we are finding volume we put the units cubed.
26.25in^3
Solve
13/19-(-1/19)
a.-12/19
b.-14/19
c.14/19
d.12/19
Answer:
C
Any time you have a subtraction and a negitive right next to eachother, it means to add. So, you would add 13 and 1 to get 14, then keep the denominator 19 to get 14/19.
Step-by-step explanation:
Answer: 14/19
To subtract fractions, we want to find the LCD and then combine. So the correct answer is C) 14/19
Exact Form:14/19
Decimal Form:
0.73684210
Hope this helps =)
PLEASE HELPPPP !!!!!!!!
HIJ and JKL are shown below
Which statement is true?
Answer: HIJ is similar to JKL
Step-by-step explanation: Because they are the exact same except JKL is bigger. a similarity of the two is that the angels are the same.
Answer:
the answer is C
Step-by-step explanation:
because i got the answer wrong and ti showed me the right one
please help me i’ll mark brainlist
i dont see it it is too far
Answer:
see explanation
Step-by-step explanation:
A - eliminate the fractions → d
B
[tex]\frac{1}{r_{1} }[/tex] + [tex]\frac{1}{r_{2} }[/tex] = [tex]\frac{1}{R}[/tex]
multiply through by Rr₁r₂ to clear the fractions
Rr₂ + Rr₁ = r₁r₂ ( factor out R from each term on the left side )
C
R(r₂ + r₁) = r₁r₂ ← divide both sides by (r₂ + r₁)
R = [tex]\frac{r_{1}r_{2} }{r_{2}+r_{1} }[/tex]
5
Which of the following represents points
on the graph of y = 3x?
А (3, 6), (4, 12), (-1, -3)
B (2,6), (3,9), (1,3)
В
(4, 12), (5,8), (2, 6)
D
(-1,3), (5, 15),(-3,-9)
Please help me :(( I don't understand this (30 pt!!)
Step-by-step explanation:
2 hours=26 gallons or 2:26
We should simplify the ratio to see how many gallons an hour flight uses.
26÷2=13 or 13 gallons
1 hour=13 gallon
Now we see how much gas a 5-hour flight takes.
5x13=65
5 hours=65 gallons
For each expression, write an equivalent expression that uses only addition.
20−9+8−7 = 11 + 1
4x−7y−5z+6 =
-3x−8y−4−87z
Equivalent expressions are expressions of equal values
The equivalent expressions are 4x+ (y - 8y) + (2z-5z) +6 and 6x-3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)
How to determine the equivalent expressionsThe first expression has been solved.
So, we have the following expressions
4x−7y−5z+6 and -3x−8y−4−87z
4x−7y−5z+6
We have:
4x-7y-5z+6
Rewrite as:
4x+ (y - 8y) + (2z-5z) +6
-3x−8y−4−87z
We have:
-3x−8y−4−87z
Rewrite as:
3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)
Hence, the equivalent expressions are 4x+ (y - 8y) + (2z-5z) +6 and 6x-3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)
Read more about equivalent expressions at:
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algebra 1 question please help
Answer:
y-intercept = 5common ratio = 1/2Step-by-step explanation:
The y-intercept and the common ratio of an exponential function can be read from the equation. The form of the equation is ...
y = a·b^x
where 'a' is the y-intercept, and 'b' is the common ratio.
You have ...
y = 5·(1/2)^x
Comparing this to the above form, you can see that ...
y-intercept = 5
common ratio = 1/2
This is for cloud breeze thanks cloud breeze so much
Answer/Step-by-step explanation:
Thank you I really Appreciate it <3
Select the correct answer from each drop-down menu.
A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is
meters and the total length of the carpet is
meters.
At a football game, 43% of people attending were supporting the home team, while 57% were supporting the visiting team. If the total number of people attending the game was 4500, how many people attending were supporters of the home team?
Multiply total people by the percent that support the home team:
4500 x 43% = 4500 x 0.43 = 1935
Answer: 1935 people
Jenna's husband, Rick, is concerned about his diet. On any given day, he eats 0, 1, 2, 3, or 4 servings of fruits and vegetables. The probabilities are given in the table below.
A 0.87
B 0.72
C 0.88
D 0.61
Answer:
A.0.87
Step-by-step explanation:
correct me if I'm wrong
A line containing the points (3,7) and (-1,5) is perpendicular to and has a y-intercept of 3. Where do they intersect?
Answer:
they intersect at coordinates (-2,6)
Step-by-step explanation:
i hope this helped
What are the potential solutions of log4x+log4(x+6)=2?
The potential solutions of [tex]log_4x+log_4(x+6)=2[/tex] are 2 and -8.
Properties of LogarithmsFrom the properties of logarithms, you can rewrite logarithmic expressions.
The main properties are:
Product Rule for Logarithms - [tex]log_{b}(a*c)=log_{b}a+log_{b}c[/tex]Quotient Rule for Logarithms - [tex]log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c[/tex]Power Rule for Logarithms - [tex]log_{b}(a^c)=c*log_{b}a[/tex]The exercise asks the potential solutions for [tex]log_4x+log_4(x+6)=2[/tex]. In this expression you can apply the Product Rule for Logarithms.
[tex]log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0[/tex]
Now you should solve the quadratic equation.
Δ=[tex]b^2-4ac=36-4*1*(-16)=36+64=100[/tex]. Thus, x will be [tex]x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}[/tex]. Then:
[tex]x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8[/tex]
The potential solutions are 2 and -8.
Read more about the properties of logarithms here:
https://brainly.com/question/14868849
Answer:
2 and -8
Step-by-step explanation:
please help, with an explanation !!
Ratio remains same
AX:XC=DX:XB=3:2So
DX=12cmXB=8cmAX=7.2cmXC=4.8cmNow
<ABX be P
[tex]\\ \rm\Rrightarrow tanP=\dfrac{AX}{BX}[/tex]
[tex]\\ \rm\Rrightarrow tanP=\dfrac{7.2}{8}[/tex]
[tex]\\ \rm\Rrightarrow tanP=\dfrac{9}{10}[/tex]
[tex]\\ \rm\Rrightarrow P=41.98°[/tex]
And
<XBC be N[tex]\\ \rm\Rrightarrow tanN=\dfrac{XC}{BX}[/tex]
[tex]\\ \rm\Rrightarrow tanN=\dfrac{4.8}{8}=\dfrac{3}{5}[/tex]
[tex]\\ \rm\Rrightarrow tanN=0.6[/tex]
[tex]\\ \rm\Rrightarrow N=30.96[/tex]
Now
<ABC=30.96+41.98=72.94°Answer:
∠ABC = 73.74° (nearest hundredth)
Step-by-step explanation:
Properties of a kite:
A kite has two pairs of equal sides.It has one pair of equal angles.The diagonals bisect at right anglesIf X is the point of intersection, the length of BD = 20 cm
and DX : XB = 3 : 2, then
⇒ DX = 3/5 of 20 and XB = 2/5 of 20
⇒ DX = 12 cm and XB = 8 cm
(see attached diagram)
∠ABC =∠XBC + ∠XBA
As ∠XBC ≅ ∠XBA then ∠ABC = 2∠XBC
To find ∠XBC use tan ratio:
[tex]\mathsf{tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]
Given in ΔXBC
angle = ∠XBCside opposite the angle = 6 cmside adjacent the angle = 8 cm[tex]\mathsf{tan(XBC)=\dfrac{6}{8}=\dfrac34}[/tex]
[tex]\mathsf{angle(XBC)=tan^{-1}\left(\dfrac34\right)}[/tex]
∠XBC = 36.86989765...°
Therefore, ∠ABC = 2 x 36.86989765...°
= 73.73979529...°
= 73.74° (nearest hundredth)
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEE
Akeno performed an experiment in which he rolled a six-sided die and recorded the number it landed on in the following tally chart.
A tally chart. 1 has 6 tally marks, 2 has 2 tally marks, 3 has 5 tally marks, 4 has 6 tally marks, 5 has 5 tally marks, & 6 has 7 tally marks.
Based on the experiment, what is the probability of the die landing on 5?
Enter your answer as a fraction, like this: 42/53
Using the probability concept, it is found that there is a [tex]5/31 = \frac{5}{31}[/tex] probability of the die landing on 5.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, from the experiment, out of 6 + 2 + 5 + 6 + 5 + 7 = 31 marks, 5 landed on 5, hence:
p = 5/31.
[tex]5/31 = \frac{5}{31}[/tex] probability of the die landing on 5.
More can be learned about the probability concept at https://brainly.com/question/14398287
Can someone help me
Answer:
24in
Step-by-step explanation:
18+6=24
You are employed as the office manager at Clover Point Pediatrics. Your job requires you to take on many responsibilities. One of these is to arrange for the annual clinic party. This year, you have been given permission to rent a banquet room at a local hotel, hire a caterer, and hire a disc jockey for entertainment. There are 23 employees and each will be bringing one guest (46 total). Beer and wine will be served at a cost of $12.00 per person. What will be the total cost for beverages?
Using proportions, it is found that the total cost for beverages will be of $552.00.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, there will be a total of 46 people, and each will spend $12.00 on beer and wine, hence:
46 x $12.00 = $552.00.
The total cost for beverages will be of $552.00.
More can be learned about proportions at https://brainly.com/question/24372153
opposite of -25x^{2}+30x+9
Answer:
25x² - 30x - 9
Step-by-step explanation:
the opposite of the expression is its negative , that is
- (- 25x² + 30x + 9) ← multiply each term in the parenthesis by - 1
= 25x² - 30x - 9
A student said that 42% of 78 is 45. Is this answer reasonable? Explain.
WORTH 20 POINTS
Answer:
42% can round to 40%, and 78 can round to 80. 40% of 80 is 32, so 42% of 78 should be about 32. 45 is much greater than 32, so the answer is not reasonable.
Step-by-step explanation:
i need some help with this
Answer:
m t
4 28
6 42
8 56
10 70
Step-by-step explanation:
Multiply 7 to the m variables
Hope this Helps!
If not I am sorry.
please help thank yous
144,702
104,392
146,310
114,573
144,719
These are all the numbers written out in order from the picture.
146,310
144,719
144,702
114,573
104,392
These are the numbers greatest to least.
The attached file is the order it all goes in, 1 being greatest, 5 being least.
simplify, the fraction 12/18
Answer:
23
Step-by-step explanation:
Since 12 and 18 are both divisible by 3, you would divide them by 3. Then, you are left with the fraction 46 . But, since 4 and 6 are both divisible by 2, you would do that. Finally, you end up with 23 with is in the lowest terms.
Answer:
2/3
Step-by-step explanation:
12/18
6×2 = 12
&
6×3 = 18
=2/3
(would appreciate it if you could mark me the brainliest :))
At a university, 6 out of every 13 students live on campus; if there are 156 students enrolled how many live on campus?
Answer:
72
Step-by-step explanation:
156 divided by 13 times 6.
Answer: 71
Step-by-step explanation:
6/13 = 0.46 %
156 times 0.46
=71
Which expression is equivalent to the following complex fraction? StartFraction 3 Over x minus 1 EndFraction minus 4 divided by 2 minus StartFraction 2 Over x minus 1 EndFraction.
The expression which is equivalent to the provided complex fraction is equal to the expression,
[tex]{\dfrac{-4x+7}{2(x-2)}}[/tex]
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The expression given in the problem is,
[tex]\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}[/tex]
Let the expression which is equivalent to the above expression is f(x). Therefore,
[tex]f(x)=\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}[/tex]
Take the LCM (x-1) in the numerator and denominator as,
[tex]f(x)=\dfrac{\dfrac{3-4(x-1)}{x-1}}{\dfrac{2(x-1)-2}{x-1}}[/tex]
Simplify the expression and cancel out the (x-1) from both the fraction as,
[tex]f(x)={\dfrac{3-4(x-1)}{2(x-1)-2}}\\f(x)={\dfrac{3-4x+4}{2x-2-2}}\\f(x)={\dfrac{-4x+7}{2(x-2)}}[/tex]
Hence, the expression which is equivalent to the provided complex fraction is equal to the expression,
[tex]{\dfrac{-4x+7}{2(x-2)}}[/tex]
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
how can I convert between units of measure?
Answer:
bonjour
Step-by-step explanation:
Les unités de longueur : mesurer et convertir
1 m = 10 dm. On a partagé le décimètre en 10 parties égales et obtenu le centimètre (cm).
1 dm = 10 cm. On a partagé le centimètre en 10 parties égales et obtenu le millimètre (mm).
1 cm = 10 mm. 1 m = 10 dm = 100 cm = 1 000 mm.
Help I am kinda of confused by this problem so solve it and show your work please!
Answer:
You need to sell each week at least 15 subscriptions to earn at least
$40/week (15 subscriptions or more)
Step-by-step explanation:
s= subscriptions
2s+ 10 ≥40
2s ≥ 30
s ≥ 15
$2x15 =$30
$30+ $10 of salary = $40
which choices are equivalent to the expression?
a. 75
b. √25 · √3
c. √45
d. √75
e. √3 · √5
f. √15 · √5
Answer:
IT IS F
Step-by-step explanation:
Find the value of x
Answer:
60 degrees
Step-by-step explanation:
11: 180 = x + x + x
180 = 3x
x = 60 degrees
