what is the radius of 3 inches in a circle what is the radius?
Answer:
See below
Step-by-step explanation:
Radius is the straight lne distance from the center of the circle to any point on the circle.
f(0)=4 ; f'(0)=0 ; f'(x)<0 for x<0 and f'(x)>0 for x>0
Answer:
f(0)=4 ; f'(0)=0 ; f'(x)<0 for x<0 and f'(x)>0 for x>0
Step-by-step explanation:
In an isosceles triangle the length of the base is 10 cm
The computation shows the radius of the circle that is inscribed in the isosceles triangle will be 3.33cm.
How to calculate the radius?From the information given, the isosceles triangle the length of a base is 10 cm and the length of a leg is 13 cm.
Let A = area of the triangle
Let S = semi perimeter of the triangle.
The radius will be: = A/S
where,
[tex]S = \dfrac{(a + b + c)}{2} = \dfrac{(13 + 13 + 10)}{2} = 18[/tex]
The radius will be:
[tex]=\dfrac{(\sqrt{18} - \sqrt{13})(\sqrt{18} - \sqrt{13})(\sqrt{18} - \sqrt{10})} { 18}[/tex]
= 3.33cm
In conclusion, the radius is 3.33cm.
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I NEED THIS ASAP ( Look at the picture).
Answer:
r ≈ 4
Step-by-step explanation:
circle = 360 degrees
360 / 90 = 4
let's call the area of triangle XYZ + the shaded area portion A
because ∠XYZ = 90°, and 360 / 90 = 4, A = 1/4th of the area
total area of circle = πr²
XY = YZ = radius
thus, as ∠XYZ = 90° and two sides are the same, this forms a 45-45-90 triangle, with base YZ and height XY (base/height are interchangeable here)
thus, area of triangle XYZ = r*r/2 = r²/2
area A = r²/2 + 4.64
4 * A = total area of circle
4(r²/2+4.64) = πr²
2r²+18.56 = πr²
subtract 2r² from both sides to put all the variables on one side
(π-2)r² = 18.56
divide both sides by (π-2) to isolate r²
18.56/(π-2) = r² ≈ 16.258
r ≈ 4.032 ≈ 4
I what goes first y axis or x axis
Answer:
The x-coordinate always comes first, followed by the y-coordinate. As you can see in the coordinate grid below, the ordered pairs (3,4) and (4,3) are two different points!
Step-by-step explanation:
Answer:
The x-coordinate always comes first
Demand and supply in a market are described by the following equations: qd = 66-3p qs = -4 2p find the equilibrium price and quantity
The equilibrium price is $14 and the quantity is 24.
What is the equilibrium price?Equilibrium is the place in the market where there is no trend for change.
Buyers’ and sellers’ plans accord, and consequently quantity demanded equals quantity supplied.
The equilibrium price occurs when the quantity demanded equals the quantity supplied.
The demand and supply functions are, respectively:
Demand and supply in a market are described by the following equations: QD = 66-3p and qs = -4 + 2p.
The equilibrium price and quantity are;
QD = QS
66-3p = -4 + 2p
66 + 4 = 2p + 3p
70 = 5p
p = 70/5
p = 14
QD = 66-3p
QD = 66-3 × 14
QD = 66- 42
QD = 24
Hence, the equilibrium price is $14 and the quantity is 24.
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select the expression equivalent to
(4x+3)+(-2x+4)
-2x+12
-8x+12
6x+7
2x+7
please help me
Answer:
2x +7
Step-by-step explanation:
combine both x for instance 4x -2x =2× than add other numbers3+4=7
help me pleaseeeeeeeeee, much appreciated!!!!!!!!!!
Step-by-step explanation:
that is quite a lot of failing TVs.
if 5% are failing, this means you have a "chance" of 5/100 = 1/20 that your TV is among them.
that means the expected costs for replacement in the next 3 years are
1750 × 1/20 = 175/2 = $87.50
minus the $200 replacement plan the expected value is of course negative :
87.5 - 200 = -$112.50
and if your TV breaks after more than 3 years, the expected value is actually -1750 - 200 = -$1,950
which is the principle of replacement plans, and why I never buy one.
but sure, for the 5% with broken TVs this pays off big time (it is kind of a lottery).
the vertex of triangle DEF are D(1,3) ;E(-1,0) ;F(2,-1) find the coordinate of orthocenter for this triangle
please with clear explanation I will give brainliest
Answer:
[tex]\sf \left(\dfrac{1}{11},\dfrac{3}{11}\right)[/tex]
Step-by-step explanation:
The orthocenter is the point of intersection of the altitudes of a triangle.
(The altitude is the line that passes through the vertex and is perpendicular to the side opposite the vertex).
**Refer to attached diagram**
DC, EA and FB are the perpendicular lines drawn from the three vertices D, E and F.
[tex]\sf Let\:(x_1,y_1)=D\implies(x_1,y_1)=(1,3)[/tex]
[tex]\sf Let\:(x_2,y_2)=E\implies (x_2,y_2)= (-1,0)[/tex]
[tex]\sf Let\:(x_3,y_3)= F\implies (x_3,y_3)=(2,-1)[/tex]
G (x, y) is the intersection point of the three altitudes of the triangle, i.e. the orthocenter.
To find the point of intersection (orthocenter), we need to create linear equations for the altitudes, then equate them to find the point of intersection.
We only need to work with 2 altitudes.
Calculate the slopes of two sides of the triangle.
[tex]\sf \implies Slope\:of\:EF=\dfrac{y_3-y_2}{x_3-x_2}=\dfrac{-1-0}{2-(-1)}=-\dfrac{1}{3}[/tex]
[tex]\sf \implies Slope\:of\:DF=\dfrac{y_3-y_1}{x_3-x_1}=\dfrac{-1-3}{2-1}=-4[/tex]
As the slopes of the altitudes are perpendicular to the slopes of the sides:
[tex]\textsf{Slope of DC}=\sf \dfrac{-1}{\textsf{slope of EF}}=\dfrac{-1}{-\frac{1}{3}}=3[/tex]
[tex]\textsf{Slope of EA}=\dfrac{-1}{\textsf{slope of DF}}=\sf \dfrac{-1}{-4}=\dfrac{1}{4}[/tex]
Using point D (1, 3) and the slope of DC to create a linear equation for DC using the point-slope form of a linear equation:
[tex]\sf \implies y-y_1=m(x-x_1)[/tex]
[tex]\sf \implies y-3=3(x-1)[/tex]
[tex]\implies \sf y=3x[/tex]
Using point E (-1, 0) and the slope of EA to create a linear equation for EA using the point-slope form of a linear equation:
[tex]\sf \implies y-y_1=m(x-x_1)[/tex]
[tex]\sf \implies y-0=\dfrac{1}{4}(x-(-1))[/tex]
[tex]\sf \implies y=\dfrac{1}{4}x+\dfrac{1}{4}[/tex]
To find the x-value of the point of intersection (the orthocenter), equate the equations and solve for x:
[tex]\implies \sf 3x=\dfrac{1}{4}x+\dfrac{1}{4}[/tex]
[tex]\implies \sf \dfrac{11}{4}x=\dfrac{1}{4}[/tex]
[tex]\implies \sf 11x=1[/tex]
[tex]\implies \sf x=\dfrac{1}{11}[/tex]
To find the y-value of the point of intersection (the orthocenter), substitute the found value of x into the equation for line DC:
[tex]\implies \sf y=3\left(\dfrac{1}{11}\right)[/tex]
[tex]\implies \sf y=\dfrac{3}{11}[/tex]
Therefore, the orthocenter is at point:
[tex]\sf \left(\dfrac{1}{11},\dfrac{3}{11}\right)[/tex]
A bag of fertilizer covers 2000 square feet of lawn. What is the total number of bags of fertilizer that should be purchased to cover a rectangular lawn 360 feet by 190 feet?
O 34 bags
O 35 bags
o 342 bags
O 3420 bags
Using the area of a rectangle, it is found that 35 bags are needed to cover the rectangular lawn.
What is the area of a rectangle?The area of a rectangle of length l and width w is given by the multiplication of the measures, that is:
A = lw
In this problem, we have that the measures in feet are l = 360, w = 190, hence the area in square feet is given by:
A = 360 x 190 = 68,400.
The number of bags is then given by:
68,400/2,000 = 34.2
Rounding up, 35 bags are needed to cover the rectangular lawn.
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PLEASE HELP!!!!! WILL MARK BRAINLIEST!!!
Answer:
either 1/3 chance or 1/6 chance
Step-by-step explanation:
not exactly sure...
Find the measure of angle 2, 5 and 6. And explain your answer please :)
Thank you
Angle 5 = 135
This is because corresponding angles are equal
Angle 6 = 180 - 135 = 45
This is because Angle 6 is on the same line as Angle 5, so you just need to subtract 135 from 180.
Angle 2 = 135
This is because opposite angles are equal
if M is the midpoint of AB, and O is the any point, find an expression for OM in terms of OA and OB
The expression for OM in terms of OA and OB when M is the midpoint of AB, and O is any point, is OM=OA-OB.
What is midpoint?For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.
The M is the midpoint of line segment AB. Thus, it divides the AB in two equal parts.
[tex]AB=MA+MB[/tex]
O is any point on the line segment AB. An expression for OM in terms of OA and OB has to be found out.
The length of OM is the difference of OA and OB as shown in the figure attached below.
[tex]OM=OA-OB[/tex]
Thus, the expression for OM in terms of OA and OB when M is the midpoint of AB, and O is any point, is OM=OA-OB.
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(S-6) + (8s +4) simplify
Step-by-step explanation:
[tex] = (s - 6) + (8s + 4)[/tex]
[tex] = s - 6 + 8s + 4[/tex]
Combine the like terms..
[tex] = s + 8s - 6 + 4[/tex]
[tex] = \boxed{\sf{9s - 2}}[/tex]
hence the answer is 9s - 2 .....
hope it helped !!!
A man is twice as old as sum of ages of his two sons. After ten years the sum of his age and ages of his sons is equal to 105 then present age of man is:
50
60
70
80
The present age of the man is 70
What are the linear equations that represent the question?a = 2b equation 1
105 = a + b equation 2
Where:
a = man's age b = sum of his son's ageWhat is the man's present age?Substitute for a in equation 2
105 = 2b + b
105 = 3b
3b = 105
b = 35
Substitute for b in equation 1 : a = 2 x 35 = 70
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Use DESMOS: What is the equation
that represents a line that is
perpendicular to the graphed line and
passes through the point (-6, 6)?
y=mx+c
I picked the points (0, -4) and (-2,-10) to find the gradient of the line
M= rise/run
= 6/2
=3
Y-intercept is at - 4
Y= 3x - 4 is equation of the line given
Reciprocal of 3 is 1/3
(m1 x m2 = - 1)
So, to make - 1, our second gradient should be negative.
Gradient of the perpendicular line will be - 1/3
Y= - 1/3x + c
Substitute value of x & y into the equation
(-6,6) means x = - 6, y = 6
y = - 1/3x +c
6 = - 1/3 x - 6 + c
6 = 2 + c
-2
4 = c
Thus, final equation we're after will be:
y= - 1/3x + 4
Hope this helps!
Investment question Part 2: $3,500 is invested at 7%. How much money
will be in the account after 17 years?
Answer:
$7665
Explanation:
simple interest: principal * rate (%) * time (years)
Given:
principal: $3,500
rate: 7%
time: 17 years
Solve for interest received:
3,500 * 7% * 17
$4165
Total money in account:
$4165 + $3,500
$7665
Famous (and not so famous) Mathematicians Escape Room(Slide 3)
Can someone put the events in the correct order pls
(when they are in the correct order the letters in the corner form a CODE not a WORD so dont look for that)
I WILL GIVE BRAINLIEST
The chronological organization allows us to organize the events sequentially according to the date of their occurrence.
What is seen in the image?The image shows several tables that refer to historical events around the world that we must organize chronologically.
How to organize events chronologically?To organize the events chronologically we must know the date on which they occurred, for this we must search for complementary information and establish the date of each one of them, especially the year.
Later, we can organize them and we have two alternatives, from the most recent to the oldest or from the oldest to the most recent. In this case we are going to organize them from the most recent to the oldest, so they would look like this:
1992 - Mae Carol Jemison, First African American woman to visit space.1854 - 1856 - Florence Nightingale develops the polar area diagram during the Crimean war.1202 - Leonardo Bigollo discovered the Fibonacci sequence.499 - At the age of 23 Aryabhata writes his book aryabhatiya.400 - Hypatia becomes the outstanding head of the Platonic school in Alexandria.650 BC - First evidence of the development of the Chinese Lo Shu magic square.Note: This question is incomplete because the image is missing. Here is the image.
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helpppppppppppppppppp
asapppppppppppppp!!!!!!!!
Answer:
1st and 3rd statements are true
Step-by-step explanation:
2u + 9v + 1
the constant term is the term with only a numeric value
in this case the constant term is 1
the coefficient of the term 2u is 2 ( the value in front of the variable u )
the coefficient of the term 9u is therefore 9
there are 3 terms in the expression 2u , 9v , 1
these terms are being added together , thus
2u + 9v + 1 is the sum of three terms
How can the equation 3*= 4x + 1 be used to check any solutions indicated by the graphs of y= f(x) and y= g(x)?
Answer:
shook
Step-by-step explanation:
The x-coordinate of each point where the graphs of y = f(x) and y = g(x) intersect corresponds to a solution of the equation. To check the solutions, first substitute x = 0 and then substitute x = 2 into the equation and verify the statement is true when x equals each of those values.
Solve for the surface area of the shape 6m 6m 6m 6m 4m
Answer:
28
Step-by-step explanation: add all sides together
This season, the probability that the Yankees will win a game is 0.57 and the probability that the Yankees will score 5 or more runs in a game is 0.46. The probability that the Yankees lose and score fewer than 5 runs is 0.33. What is the probability that the Yankees would score 5 or more runs when they lose the game? Round your answer to the nearest thousandth.
The probability that the Yankees would score fewer than 5 runs when they lose the game is 0.44.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The probability that the Yankees will win a game P(win) = 0.57
The probability that the Yankees will score 5 or more runs in a game is:
P(s>5) = 0.46
The probability that the Yankees lose and score fewer than 5 runs is:
P(s<5) = 0.33
To find the probability that the Yankees would score fewer than 5 runs when they win the game:
This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:
= 0.57 + 0.33 - 0.46
= 0.44
Thus, the probability that the Yankees would score fewer than 5 runs when they lose the game is 0.44.
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Strawberries cost $2.14 per pound and Annie purchased 1.3 pounds. How much did she pay for strawberries if her answer is rounded to the nearest cent?
A line passes through the point and has a slope of .
Write an equation in point-slope form for this line.
Answer:
oringns
Step-by-step explanation:
what is the fraction of the recurring decimal 0.1 in its simplest form
Answer:
1/10
Step-by-step explanation:
I believe the answer is 1/10
68. What is the value of x?
Geometry help please
Answer:
Step-by-step explanation:
Please I really need this answer doing cumulative exam!!!
Scott is reading two books at the same time to prepare for a report he is writing. So far, he has read 407 of the total number of 557 pages, which is Three-fifths of the shorter book and StartFraction 5 Over 6 EndFraction of the longer book. Which system of equations can be used to determine the total number of pages in the shorter book, x, and the total number of pages in the longer book, y?
x + y = 557 and Three-fifths x + five-sixths y = 407
x + y = 407 and Three-fifths x + five-sixths y = 557
x + y = 557 and Five-sixths x + three-fifths y = 407
x + y = 118 and StartFraction 4 Over 9 EndFraction x + two-thirds y = 118
An equation is formed of two equal expressions. The correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the total number of pages in the shorter book be represented by x, and the total number of pages in the longer book be represented by y.
Given the total number of pages of the shorter book and the longer book is 557. Therefore, the equation can be written as,
x+y =557
Also, Scott reads Three-fifths of the shorter book and StartFraction 5 Over 6 EndFraction of the longer book, which is equal to 407 pages. Therefore,
(3/5)x + (5/6)y = 407
Hence, the correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.
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4 David has $100 to spend on clothes for school.
He has a coupon for $10 off when he spends at least $50.
He buys a pair of pants for $27.99, two t-shirts for $12.99 each, and a pair of shoes for
$34.99.
The sales tax is 8% of the total after the coupon is applied.
How much money will David have left after his purchases?
Step-by-step explanation:
well , adding the total cost we have $75.97 which is approximately $76 , getting 8% of that will be 76 × 8/100 , which is $6 , negate it from 76$ that gives is $70 spent and remember that initially he had 100 :. 100-70 which is $30 remaining
If the right triangle's dimensions are enlarged by 3 units, the new area would be *blank* square units. Just write the numerical answer.
Your answer
15 points!!
Answer:
If each of the dimensions was enlarged by 3 units then the new length would be 5 and the new width would be 6. To find the area of the triangle we use the formula: A = L x W ÷ 2.
6 x 5 = 30ft2
30 ÷ 2 = 15ft2
Therefore the new area of the triangle would be 15ft2.
Step-by-step explanation:
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