Answer:
A is -3 B is 24 and c is -16
Step-by-step explanation:
In the stained glass window design, all of the small arcs around the circle are congruent. Suppose the center of the circle is point O .
What is the measure of each of the small arcs?
The measure of each of the small arcs of the circled glass stained window is 45°.
Congruent in circle:
Circles having the same radii are said to be congruent of one another.
For example,
When two circles are congruent, we can also say that they have the same area and circumference. Thus they can also be said to be equal circles.
Given,
In the stained glass window design, all of the small arcs around the circle are congruent. Suppose the center of the circle is point O.
Here we need to find the measure of each of the small arcs.
We know that.
Congruent circles can be defined as circles which are having the same or equal radii.
So, based on this the circle we need to divided it as equal radius arcs.
We know that, the measurement of the full circle is 360°.
So, here we have to divide it by 8.
Then we have each arc as,
=> 360°/8
=> 45°.
Therefore, each arc has the measurement of 45°.
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Points!!!!!!!!!!!!!!!!
please help me this is so confusing. I need help.
Answer:
Step-by-step explanation:
OK, so you see how its like 4/10 right? (not four tenths but ya know four on top and ten underneath)
Look how for your Y axis it goes: 2, 4. 6, 8, 10
what comes after ten by counting by twos? 12!
Also the correct equation is; Y = K X ( Y =_ x) ( blank is whatever your constant of proportionality is.
Thank you Pre-Algebra\
Signed~ Earl
The equation of a line is ax + by = c. If the x value of some point on the line is d, what is the full co-ordinate of the point, in terms of a, b, c, d?
The equation of a line is ax + by = c.
full co-ordinate of the point, in terms of a, b, c, d is (d,(c-ad)/b)
equation of a line is ax + by = c
x=d
put x=d in the equation of line
ad + by = c
by = c-ad
y=(c-ad)/b
full co-ordinate of the point, in terms of a, b, c, d is (d,(c-ad)/b)
The phrase equation and its cognates in other languages can also have subtly extraordinary meanings; as an example, in French an équation is described as containing one or more variables, even as in English, any well-shaped components together with two expressions related with an equals sign is an equation.
fixing an equation containing variables includes figuring out which values of the variables make the equality real.
The variables for which the equation must be solved are also referred to as unknowns, and the values of the unknowns that satisfy the equality are referred to as answers of the equation.
There are two kinds of equations: identities and conditional equations. An identity is authentic for all values of the variables. A conditional equation is simplest genuine for particular values of the variables
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x + 2y = 15
3x -15 = -6y
can you also right if it has a solution/no solution/many solution!
and show the steps pls tyy
Given equation x + 2y = 15 and 3x -15 = -6y are real numbers so the equation has a solution.
Some equations have no solutions. In these equations, there is no value for the variable that makes the equation true. You can tell that an equation has no solutions if you try to solve the equation and get a false statement.
We have been given that
x + 2y = 15 ..........(1)
3x -15 = -6y ..........(2)
Multiply equation (1) with 3.
3(2y+x)=5
6y+3x=-15
Subtract equation (1) from equation (2)
0=15
Instead of 6y+3x=-15, 3x-15=-6y becomes 6y+3x=15. So, these 2 equations are saying the same thing (this is the first equation times 3), and therefore the solution is all real numbers.
Hence, The equation has a solution since the given values of x + 2y = 15 and 3x -15 = -6y are real numbers.
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b. Reasoning Could you have used elimination in another way? Explain.
x-2y+3z = 12
2x-y-2z = 5
2x+2y-z = 4
So we are given with three different equations,
[tex]$$\begin{aligned}&x-2 y+3 z=12 \rightarrow(1) \\&2 x-y-2 z=5 \rightarrow(2) \\&2 x+2 y-z=4 \rightarrow(3)\end{aligned}$$[/tex]
We will convert the individual equations into matrices,
[tex]$$\left[\begin{array}{ccc|c}1 & -2 & 3 & 12 \\2 & -1 & -2 & 5 \\2 & 2 & -1 & 4\end{array}\right]$$[/tex]
[tex]\begin{aligned}&R_2 \leftarrow R_2-2 \times R_1 \\&=\left[\begin{array}{ccc|c}1 & -2 & 3 & 12 \\0 & 3 & -8 & -19 \\2 & 2 & -1 & 4\end{array}\right]\end{aligned}[/tex]
[tex]\begin{aligned}&R_3 \leftarrow R_3-2 \times R_1 \\&=\left[\begin{array}{rrr|c}1 & -2 & 3 & 12 \\0 & 3 & -8 & -19 \\0 & 6 & -7 & -20\end{array}\right] \\&R_2 \leftarrow R_2 \div 3 \\&=\left[\begin{array}{ccc|c}1 & -2 & 3 & 12 \\0 & 1 & -2.6667 & -6.3333 \\0 & 6 & -7 & -20\end{array}\right]\end{aligned}[/tex]
[tex]\begin{aligned}&R_1 \leftarrow R_1+2 \times R_2 \\&=\left[\begin{array}{ccc|c}1 & 0 & -2.3333 & -0.6667 \\0 & 1 & -2.6667 & -6.3333 \\0 & 6 & -7 & -20\end{array}\right] \\&R_3 \leftarrow R_3-6 \times R_2 \\&=\left[\begin{array}{ccc|c}1 & 0 & -2.3333 & -0.6667 \\0 & 1 & -2.6667 & -6.3333 \\0 & 0 & 9 & 18\end{array}\right]\end{aligned}[/tex][tex]\begin{aligned}&R_3 \leftarrow R_3 \div 9 \\&=\left[\begin{array}{ccc|c}1 & 0 & -2.3333 & -0.6667 \\0 & 1 & -2.6667 & -6.3333 \\0 & 0 & 1 & 2\end{array}\right] \\&R_1 \leftarrow R_1+2.3333 \times R_3 \\&=\left[\begin{array}{ccc|c}1 & 0 & 0 & 4 \\0 & 1 & -2.6667 & -6.3333 \\0 & 0 & 1 & 2\end{array}\right]\end{aligned}[/tex]
[tex]\begin{aligned}&R_2 \leftarrow R_2+2.6667 \times R_3 \\&=\left[\begin{array}{ccc|c}1 & 0 & 0 & 4 \\0 & 1 & 0 & -1 \\0 & 0 & 1 & 2\end{array}\right]\end{aligned}[/tex]
[tex]i. e.$$\begin{aligned}&x=4 \\&y=-1 \\&z=2\end{aligned}$$[/tex]
Solution By Gauss elimination method is,
[tex]$x=4, y=-1$ and $z=2$[/tex]
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Write an example from daily life that uses each type of real number.
rational numbers
Write an example from daily life that uses rational numbers .
Real numbers that may be expressed as p/q, where p, q are integers, and q 0, are rational numbers. The money we have is a rational number. If we spend some sum out of it, it is subtraction of rational number.The running race involves rational numbers if you're an athlete.Rational numbers include the following:the distance runthe time needed to complete the distance,the number of competitors placing first, second, or thirdthe number of heartbeats you take per minute.We use fractions to represent taxes.If you split a pizza or any other food.When you finish a piece of your work, you indicate that you have done half, or 50%.Loan and mortgage interest rates.Savings account interest.To learn more about rational numbers, refer:
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Why is a simulation better the more times you perform it?
Answer:
Step-by-step explanation:
so you get a better perspective of it
Find the distance from the line to the given point.
y=-3,(5,2)
The distance from the line y = -3 to the point (5,2) is 5 units.
Distance from the line ax+by+c=0 from the point (m,n) is calculated by
[tex]distance=\frac{|am+bn+c|}{\sqrt{a^{2} +b^{2} } }[/tex]
In the given question
the equation of the line is [tex]y=-3[/tex] ⇒ [tex]y+3=0[/tex]
equation of line becomes 0.x+1.y+3=0
given the point (5,2)
Substituting the values in the distance formula we get
[tex]d=\frac{0*5+1*2+3}{\sqrt{0^{2} +1^{2} } }[/tex]
[tex]=\frac{2+3}{1} \\ \\ =\frac{5}{1} \\ \\ =5[/tex]
Therefore , the distance from the line y = -3 to the point (5,2) is 5 units.
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What is an equation of the circle with center (5,-2) and radius 8 ? Check your answer.
The equation of the circle with radius 8 and center at (5 , -2) is (x - 5)^2 + (y + 2)^2 = 64.
The general form of the equation of circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius 8 and center at (5 , -2), substitute these values to the general form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (5 , -2)
r = 8
(x - 5)^2 + (y - -2)^2 = 8^2
(x - 5)^2 + (y + 2)^2 = 64
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What is the area and perimeter of a circle (-4,2) (-3,4)
Step-by-step explanation:
Let radius of circle is r=18 units
Perimeter of full circle is given by 2πr
Thus, perimeter of three quarters circle is given by,
( ¾ × 2πr) + (2 × r)
The perimeter of this "circle" would be:
( ¾ × 2 × π × 18) + (2 × 18) = 27π + 36 ≈ 120.78 m
The midpoint of AB is M(-3,0). If the coordinates of A are (1,-4), what are the coordinates of B?
Applying the midpoint formula, the coordinates of B are: (-7, 4).
How to Apply the Midpoint Formula?The midpoint formula is:
M(x, y) = [(x2 + x1)/2, (y2 + y1)/2]
Given:
M(x, y) = (-3, 0)
A(x1, y1) = (1, -4)
B(x2, y2) = (?, ?)
Plug in the values into the midpoint formula:
M(-3, 0) = [(x2 + 1)/2, (y2 + (-4))/2]
Isolate each coordinate
-3 = (x2 + 1)/2
-6 = x2 + 1
-6 - 1 = x2
x2 = -7
0 = (y2 - 4)/2
0 = y2 - 4
y2 = 4
Therefore, applying the midpoint formula, the coordinates of B are: (-7, 4).
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Determine whether the event is independent or dependent. Then find the probability.
There are 6 green, 2 red, 2 brown, 4 navy, and 2 purple marbles in a hat. Sadie picks 2 marbles from the hat without replacement. What is the probability that the first marble is brown and the second marble is not purple?
Answer:
Dependent
18.46%
Step-by-step explanation:
All possible combinations for Sadie taking two marbles out from the hat:
[tex](6+2+2+4+2)×[(6+2+2+4+2)-1] [/tex]
[tex] = 16 \times 15[/tex]
[tex] = 240[/tex]
All the possible combinations that the first marble is brown and the second marble is not purple:
[tex]2 \times (6 + 2 + 1 + 4)[/tex]
[tex] = 2 \times 13[/tex]
[tex] = 26[/tex]
The probability:
[tex] \frac{240}{26} \times 100\%[/tex]
[tex] = \frac{240}{13} \times 50\%[/tex]
[tex] = \frac{1200}{13} \%[/tex]
[tex]≈18.46%[/tex]
Marcel Park is weeding the rectangular vegetable garden. The garden has an area of 599.5 square feet. If the garden is 22 feet wide,how long is the garden? Justify your procedure!
Answer:
27.25 feet long
Explanation and Check part below
Hope this helps :)
Step-by-step explanation:
The area is 599.5 square feet and it is 22 feet wide. So in order to find the area we have to multiply the width (22 feet wide) and the legth (unknow number which will stand for "x"). Since we area multiplying the width and legth we need to do the inverse operation which is dividing. We didvide the area 599.5 by the width 22 to get 27.25 feet long.
22x = 599.5
----- -------- <------ Fraction bar/divide
22 22
x = 27.25
Check:
When a number is next to parenthesis it means to multiply the 2 numbers.
22 (27.25) = 599.5
599.5 = 599.5
True statement.
A function g satisfies g(5) = 3 and g(3) = 0, and a function h satisfies h(3) = -2 and h(0) = 5. what is the value of h(g(3))?.
A function exists described as a relation between a set of inputs containing one output each. The value of h(g(3)) is 5.
What is meant by function?
A relationship between a group of inputs and one output is referred to as a function.
In plain English, a function is an association between inputs in which each input is connected to precisely one output.
A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Where, g(3) = 0
To get h, replace g(3) with 0 in the requested equation (0).
Since h(0) = 5 according to the question, your final response is 5.
Therefore, the value of h(g(3)) is 5.
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how to show - 2by3 and 1by2 on the number line
Answer: Hope it help
Step-by-step explanation:
If x is a real number, for what values of x is the equation (3 x-6)(x-2)⁻¹=3 true?
Answer:
all real x other than 2
Step-by-step explanation:
[tex]\frac{3x-6}{x-2}=3 \\ \\ 3x-6=3x-6[/tex]
Thus, the equation is true for all x in its domain, which is all real x other than 2.
Mr. Drew wants to build a square sandbox with an area of 81 square feet. What is the total length of wood Mr. Drew needs to make the sides of the sandbox?
Answer: 36 feet of wood
Step-by-step explanation:
P=perimeter. P=total length of wood
s= side length. A=area
A=s^2
81=s^2
s^2=9^2
s=9
P=4s
P=4(9)
P=36 feet of wood
Answer:
P = 36 ft
Step-by-step explanation:
The given length is,
→ a = ?
Formula we use,
→ A = a²
Now the length of one side is,
→ A = a²
→ a² = 81
→ a = √81
→ [ a = 9 ]
The total length of wood needed is,
→ P = 4a
→ P = 4 × 9
→ [ P = 36 ]
Hence, the total length is 36 ft.
Quadrilateral PQRS was dilated to form quadrilateral WXYZ.
a. Is the dilation from P Q R S to W X Y Z an enlargement or reduction?
A reduction is a dilation from ▢PQRS to ▢WXYZ.
What do we mean by a Quadrilateral?A quadrilateral is a four-sided polygon with four edges (sides) and four corners in geometry (vertices). The word comes from the Latin words Quadri, a variant of four, and latus, which means "side." In analogy to other polygons, it is also known as a tetragon, which is derived from the Greek words "tetra" which means "four" and "gon" which means "corner" or "angle" (e.g. pentagon). Because "gon" means "angle," it is also known as a quadrangle or 4-angle. ▢ABCD denotes a quadrilateral with the vertices A, B, C, and D.According to the given figure:
▢WXYZ is smaller than ▢PQRS.Therefore, a reduction is a dilation from ▢PQRS to ▢WXYZ.
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Please Help with problem 23 Algebra 1, in the attachment.
Answer:
Step-by-step explanation:
the correct answer would be -5/-1=|6x|
The absolute value equation for each of the graphs are |x + 3| = 2 and |x - 4| = 1 respectively.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An inequality shows the non equal comparison of numbers and variables.
A) For the inequality shown, the midpoint is [(-1) + (-5)]/2 = -3. The distance from each of the endpoint to the midpoint is 2 units (i.e. from -1 to -3 or from -5 to -3). Hence:
Absolute inequality is:
|x - midpoint| = distance from endpoint to midpoint
This gives:
|x - (-3)| = 2
|x + 3| = 2
B) For the inequality shown, the midpoint is [3 + 5]/2 = 4. The distance from each of the endpoint to the midpoint is 1 units (i.e. from 3 to 4 or from 5 to 4). Hence:
Absolute inequality is:
|x - midpoint| = distance from endpoint to midpoint
This gives:
|x - 4| = 1
The absolute value equation for each of the graphs are |x + 3| = 2 and |x - 4| = 1 respectively.
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Each sequence has eight terms. Evaluate each related series. 5,13,21, . . . . . . , 61
The sum of the 8 terms of a series 5,13,21, . . , 61 is 264
The given series is:
5,13,21, . . . . . . , 61
Notice that this is an arithmetic series with:
first term, a(1) = 5
number of terns, n = 8
common difference, d = a(2) - a(1) = 13 - 5 = 8
last term, a(8) = 61
The sum of the first n terms in an arithmetic series is given by the formula:
S(n) = n/2 [a(1) +a(n)
Substitute n = 8, a(1) = 5, a(n) = 61:
S(8) = 8/2 (5 + 61)
= 4 . 66
= 264
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PLEEEEAAASEEE HELPPPP.
F: a₁ = 15 and ag = -15
Find a30
yellow
Answer:
a30= -15
Step-by-step explanation:
A restaurant has 10 booths that will seat up to 4 people each. If 20 people are seated in booths, and NO booths are empty, what is the greatest possible number of booths that could be filled with 4 people?
Answer: 3
Step-by-step explanation:
Ab and bc form a right angle at their point of intersection, b. if the coordinates of a and b are (14, -1) and (2, 1), respectively, the y-intercept of ab is is y= and the equation of bc
Answer:
Step-by-step explanation:
to find the y intercept of AB, first find the slope of AB: m=(1-(-1))/(2-14)=-1/6
the equation of line AB is y=-(1/6)x+b
use either of the given two points to find out b: 1=(-1/6)*2+b => b=4/3
BC is perpendicular to AB, so the slope of BC is the negative reciprocal of the slope of AB, therefore, the slope of BC is 6
Equation of BC is y=6x+b
find out b by using the coordinates of point B: 1=6*2+b => b=-11
the equation of BC is: y=6x-11
the x coordinate of point C: 13=6*x -11 =>x=4
Expand these brackets:
3(5 + b) =
2(3f + 5) =
Answer:
15+3b
6f+10
Step-by-step explanation:
Those are your answers
Answer:
15 + 3b
6f + 10
Step-by-step explanation:
Distributive property: a*(b +c) = (a*b) + a*c)Multiply 3 with 5 and multiply 3 with b and then add the results of the multiplication.
3*(5 + b) = (3*5) + (3*b)
= 15 + 3b
2*(3f + 5) = (2*3f) + (2*5)
= 6f + 10
a businessman earns a basic salary of r1000 plus r500 commission for every item he sells
5.1write a function for calculaling the salesman's salary (y) if he sells x items
The Salesman's salary is modeled by the linear equation:
y = $1000 + $500*x
How to write a function for the salesman's salary?We know that the businessman earns a basic salary of $1000 (it does not depend on how many items he sells) and $500 for each item he sells as a commission.
Then, if we define x as the number of items he sells, the amount he gets in commissions is: x*$500
Then the equation for his total salary, y, in terms of x which is defined above is:
y = $1000 + $500*x
That is the linear equation we wanted to write.
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The probabilities of four events are shown. List them in order from least to greatest.6/13,3 out of 9,41%,0.2
Answer:
0.2, 3 out of 9, 41%, 6/13
Step-by-step explanation:
6/13 = 0.46
3 out of 9 = 3/9 = 0.33
41% = 0.41 (change percent to decimal by dividing it by 100)
0.2
Now compare:
Least to greatest: 0.2, 3 out of 9, 41%, 6/13
MARKING BRAINIEST!!!!!!
Answer: Side lengths: 7.2, 7.2[tex]\sqrt{3}[/tex], 14.4
Step-by-step explanation:
Take sin of 60 to calculate side opposite to angle 60
sin 60=[tex]\frac{\sqrt{3} }{2}[/tex]
cos 60=1/2
7.2 / 1/2=
7.2 * 2=14.4
[tex]\frac{\sqrt{3} }{2}[/tex]*14.4=
[tex]\frac{14.4\sqrt{3} }{2}[/tex]=7.2[tex]\sqrt{3}[/tex]
The hypotenuse:
[tex](\frac{\sqrt{3} }{2})^2[/tex]+(1/2)^2=
3/4 + 1/4 = 1
1 * 14.4 =14.4
Side lengths: 7.2, 7.2[tex]\sqrt{3}[/tex], 14.4
Step-by-step explanation:
The 30-60-90 triangle is one of the most important trigonometry concept you will learn throughout your secondary schooling.
Attached below is a triangle that you should memorize for easy practice. The way this triangle is formed can be proven trigonometrically and/or with the unit circle, but that's not what this question is asking for.
When comparing the numbers on the attachment and your question, we can generate that the side 7.2=x, because the side with the 60 degree angle and right angle contains the variable x.
Since we have x now, all we would have to do is to plug in the x values and solve the question.
The hypotenuse (longest side of the triangle) = 2x = 2(7.2) = 14.4
The side opposite to the 60 degree angle (left most side)= [tex]x\sqrt{3}[/tex] = [tex]7.2\sqrt{3}[/tex] = 12.6
I hope this helped!
Spaghettios wraps all their cans in a paper label. One Spaghettios can is 8 inches tall with a diameter of 4 inches. How many square centimeters of paper would Spaghettios need to wrap 12 of their cans.
Answer:
384
Step-by-step explanation:
8x4=32 32x 12 cans=384 sq centimeters
A farmer has 180 bushels of to sell at roadside stand. sells an average of 16 3/5 each day. Represent the total change in the number of bushels has for sale after 6 days
The total change is 82.5 (or 82 and 2/5) bushels remaining and has sold 82.25 (or 81 and 2/5) bushels
He has sold (16+3/5) bushels/day x 6 days
=(16 x 6 ) + (3 / 5 * 6)
= 96 + 6/5
= 97 + 1/2
= 97.5
The change in the number of bushels is 180 – 97.5 = 82.5 or 82 and 2/5 bushels. A measure of capacity equal to 8 gallons (equivalent to 36.4 litres), used for corn, fruit, liquids, etc. A measure of capacity equal to 64 US pints (equivalent to 35.2 litres), used for dry goods.
Hence , the total change in 82.5 (or 82 and 2/5) bushels remaining and has sold 82.25 (or 81 and 2/5) bushels.
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