Answers
Answer:
The value of a is 50°.
Step-by-step explanation:
In an isosceles triangle, 2 sides have the same lengths and same angles so we can assume that the other side of the triangle is 65°.
Given that the total angle of a triangle is 180°, so have to subtract it :
[tex]a = 180 - 65 - 65[/tex]
[tex]a = 180 - 130[/tex]
[tex]a = 50[/tex]
Related Questions
Nick, Paul and krutika share £80 in a ratio 1:1:2 how much money does each person get
Answers
Answer:
£20
Step-by-step explanation:
First you add 1 ,1 ,2 which =4
Next you divide 80 by 4 which give you the answer 20.
Is Pie Really infinite or could their be a possible ending by rounding it..........
Answers
Answer:
pi is infinite
Step-by-step explanation:
pi rounded ends
Wendy is creating a large soup based on a recipe. Her recipe calls for of a pint of milk, but she only has of a pint of milk, so she can only make a portion of her soup. Wendy can only make _____ of her recipe with the amount of milk that she has.
Answers
Answer:
She can only make 5/6 of her recipe with the amount of milk that she has.
Step-by-step explanation:
Some data of this problem is missing, the data missing is:
Her recipe calls for 3/4 of a pint of milk and she only has 5/8 of a pint of milk.
Now, to know what's the portion she can do with that amount we need to divide the amount of milk she has by the total amount she needs:
[tex]\frac{5}{8}[/tex] ÷[tex]\frac{3}{4}[/tex]
When we divide we turn the second fraction upside down (the numerator becomes the denominator and viceversa) and multiply, thus:
[tex]\frac{5}{8}[/tex]÷[tex]\frac{3}{4}=\frac{5}{8}[/tex]×[tex]\frac{4}{3} =\frac{20}{24}[/tex]
If we simplify this last expression we have:
[tex]\frac{20}{24}=\frac{10}{12} =\frac{5}{6}[/tex]
Thus, she can only make 5/6 of her recipe with the amount of milk that she has.
Note: In case the data missing is different, you can apply this same procedure with the fractions you have.
Choose one of the theorems about chords of a circle and state it using your own words. Create a problem about chords that uses the theorem that you explained. Choose a problem that a classmate has posted, and explain how to solve it. Note: If you do not see any other responses, explain how to solve the problem that you posted. Please number your responses to the questions as they are shown (1, 2, and 3).
Answers
Answer:
Step-by-step explanation:
1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.
2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.
3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.
A radius that meet the chord at center C, and divides it into two equal parts.
So that;
AC = CB = 5 units
Applying Pythagoras theorem to ΔOCB,
OC = d, CB = 5 units and OB = 13 units
[tex]13^{2}[/tex] = [tex]5^{2}[/tex] + [tex]d^{2}[/tex]
169 = 25 + [tex]d^{2}[/tex]
169 - 25 = [tex]d^{2}[/tex]
144 = [tex]d^{2}[/tex]
⇒ d = [tex]\sqrt{144}[/tex]
= 12 units
Therefore, the chord is at a distance of 12 units to the center of the circle.
A chord is a straight line joining 2 points on the circumference of a circle.
The line that connects any two points of the circumference of a circle is known as a chord.
Theorem: A radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa.
Converse: The perpendicular bisector of a chord passes through the center of a circle.
Problem: In the given figure the radius of the circle is 5 cms. what is the length of the chord?
Solution:
Given to us,
radius of the circle, r = 5 cms,
RA = 1 cm,
Radius, r = OA = OP = OQ = 5 cms.
Also, OR = OA - OR = 4 cms.
In ΔOPQ,
According to Pythagorus theorum,
OP² = OR² + RP²
5² = 4² + RP²
RP² = 25 -16 = 9
RP = 3,
We know,
A radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa.
A radius (OA) that is perpendicular to a chord divides the chord into two equal parts(RP = RQ).
Therefore, chord = RP + RQ = 3+3 = 6 cms.
To know more visit:
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Help please........please
Answers
Answer:
58, 38 and 76
Step-by-step explanation:
(a)
The median is represented by the vertical line inside the box
median = 58
(b)
The interquartile range is the difference between the upper quartile and the lower quartile.
The upper quartile is the value at the right of the box, that is 72
The lower quartile is the value at the left of the box, that is 34
Interquartile range = 72 - 34 = 38
(c)
The range is the difference between the largest and smallest value
max value is the value at the right of the data, that is 86
min value is the value at the left of the data, that is 10
Range = 86 - 10 = 76
HELP NOW PLZ 20-30 POINTS FOR BRAINLIEST LOOK AT MY PROFILE FOR THE SAME QUESTION WITH MORE POINTS Step 1: Write a quadratic equation in standard form choosing your own coefficients and constant! (Recall: Standard Form of a quadratic equation is Ax^2 + Bx + C ). You need to choose a value for A, B, and C that satisfies each of the following conditions. You can use a value of 0 for B for no more than 1 of the 5 questions! Step 2: Solve each of the equations you create. YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT FOR THIS STEP! Write your Exact answer in simplest form AND if necessary, round your estimate to the nearest tenth. 1) Equation 1 should represent a parabola that opens up and has a negative y-intercept. Equation 1: ____________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 2) Equation 2 should represent a parabola that opens down and has a negative y- intercept. Equation 2:___________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 3) Equation 3 should represent a parabola that is a vertical stretch of the parent function and has a y-intercept greater than 3 and opens down. Equation 3:___________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 4) Equation 4: You decide what type of parabola you would like to create by answer the following questions: Does your parabola open up or down? _______________ Is there a vertical stretch or vertical compression? _______ What is the y-intercept? __________ Equation 4: ____________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 5) Write a quadratic equation that can only be solved using the quadratic formula. Equation 4: _________________________________________________________________ Show your work for how you use the quadratic formula to solve this equation:
Answers
Answer:
This is equation 1.
Step-by-step explanation:
Step 1: Write a quadratic equation in standard form choosing your own coefficients and constant.
Conditons that need to be satisfied: B can be 0 in only one question, parabola should open up and have a negative y intercept.
1. The parabola should open upwards: a> 0
2. [tex]3x^2+7x-6[/tex] (a>0), y-int is negative (0s for x's)
3(0)^2 + 7(0) -6
y= -6
Step 2:
1. Factor the original equation: (3x-2)(x+3)
x=2/3, -3
2. Strategy used (factor by grouping)
Find the ordered pairs for the x- and y- intercpets of the equations 3x-2y=18 and select the appropriate option below
Answers
Answer:
ordered pairs for the
x-intercept : (6,0)
y- intercepts :(0,9)
Step-by-step explanation:
Given equation : 3x-2y=18
X- intercept on coordinate plane is point where the line intersect the x- axis.
The coordinate of point y is 0 for x-intercept.
Based on this let the coordinate of X- intercept be (x,0)
we will plug this value in equation 3x-2y=18, to find value of x and hence we will get x-intercept
3x-2y=18
3x -2*0 =18
=> 3x = 18
=> x = 18/3 = 6
Thus, coordinate of x-intercept is (6,0)
________________________________________________
Y- intercept on coordinate plane is point where the line intersect the y- axis.
The coordinate of point x is 0 for y-intercept.
Based on this let the coordinate of X- intercept be (0,y)
we will plug this value in equation 3x-2y=18, to find value of y and hence we will get y-intercept
3x-2y=18
3*0 -2y =18
=> 2y = 18
=> y = 18/2 = 9
Thus, coordinate of y-intercept is (0,9)
I need help ASAP! It's urgent.. PLISSSSS
Answers
Answer:
hope this helps you
Jimmy is using a recipe that calls for 3/4 cup of flour. He only has a 1/8 of a cup measure spoon. How many spoons of the 1/8 will he need to be equivalent to 3/4?
Answers
Answer: 6 of 1/8 cups
Step-by-step explanation:
Answer:
He needs 6 more spoons
Step-by-step explanation:
Since Jimmy needs 3/4 cups of flour and only has 1/8 cups as his measuring spoon, we can do 3/4 = x/8
Now, we need to make the denominator the same, so we will multiply 2 from the numerator and denominator in 3/4.
Afterwards, the equation would be : 6/8 = x/8
x = 6
Which system of equations below has no solution? A. y = 4x + 5 and y = 4x – 5 B. y = 4x + 5 and 2y = 8x + 10 C. y = 4x + 5 and y = One-fourthx + 5 D. y = 4x + 5 and y = 8x + 10
Answers
Answer: A y=4x -5 and y=4x+5
Step-by-step explanation:
They have no solutions because they have the same slopes but different y intercepts. That works with any equation.
Answer:
the answer is A
Step-by-step explanation:
Cesar comenta que su papa esta interesado en comprar un terreno o vivienda.En estos tiempos de cuarentena su padre ha aprendido a comunicarse mas por medio de las redes sociales y justamente,atraves de whappsap,un amigo le envio una imagen del terreno de una vivienda en venta. Su padre le mostro la imagen y quiere que le alyude a realizar diversos calculos.si los calculos son 40m+14m+a+20m+54m+20+a.¿cual es el area de la vivienda?
Answers
Answer:
El área de la casa es de 1,304 m²
Step-by-step explanation:
De las dimensiones dadas en línea, tenemos que el área del jardín = 640 m²
Las dimensiones del jardín son;
Longitud = 40 m.
Ancho = a m
Por lo tanto, 40 × a = 640
a = 640/40 = 16 m
La dimensión del compuesto es así;
Longitud = 40 + 14 = 54 m
Ancho = 20 + a = 20 + 16 = 36 m
El área del compuesto = Área de la casa + Área del jardín
El área del compuesto = Ancho del compuesto × Longitud del compuesto
El área del compuesto = 36 × 54 = 1,944 m²
∴ 1,944 m² = Área de la casa + Área del jardín
1,944 m² = Área de la casa + 640 m²
Área de la casa = 1,944 m² - 640 m² = 1,304 m²
El área de la casa = 1,304 m².
On a nearby pond, black and white ducks are swimming in groups of 3. James wants to find the experimental probability of two white ducks and one black duck swimming together. Design a simulation using a coin flip and explain why it is the best choice for James.U Will get BRAINLIEST
Answers
Answer:
The answer is below
Step-by-step explanation:
Given that, there are only two available choices, which are a black or white duck, this can be represented using a coin: H→White duck, T→Black Duck
Hence, to represent a set of possible outcomes, the coin has to be tossed three times.
Thus, we assume that, at the minimum we have total number of Ducks = 3 Black + 3 White = 6 Ducks
Total Favorable Outcome = 2 White + 1 Black
Total Possible Outcome = Selecting 3 Ducks (2 White +1 Black) from 6 Ducks
Formula to Calculate Probability
= Total favourable outcome ÷ Total possible outcome
Use ,C(n,r)= n! / (n - r)! r!
Therefore, the Probability of two white ducks one black duck swimming together
= ³C² * ³C¹ ÷ 6C3 = 9/20
To use Simulation Coin Flip, we have the following:
H→White duck, T→Black Duck
HHH→Three White Ducks Swimming together
TTT→Three black ducks Swimming together
HHT→Two white duck and a Black Duck swimming together
HTH→Two white duck and a Black Duck swimming together
THH→Two white duck and a Black Duck swimming together
TTH→Two Black duck and a White Duck swimming together
THT→Two Black duck and a White Duck swimming together
HTT→Two Black duck and a White Duck swimming together
Finally, to find the probability, divide the observed desired outcomes by the total number of trials.
Answer:
There are only two choices, a black or white duck, so a coin is the best choice. To represent a set of possible outcomes, toss the coin three times. Repeat the experiment multiple times. To find the probability, divide the observed desired outcomes by the total number of trials.
Step-by-step explanation:
edg2020
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the given function. f(x) = e2x-4 To determine the inverse of the given function, change f(x) to y, switch
and y, and solve for
Answers
Answer:
To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and [tex]f^{-1}(x)= \frac{ln\ x+4}{2}[/tex]
Step-by-step explanation:
Data provided in the question
f(x) = e^2x - 4
Now
to find the inverse let
So,
y = e^2x - 4
Now
Replace x and y
Therefore
x = e^2y - 4
Now compute the value of y
So,
x + 4 = e^2y
Now take ln on both sides:
The equation is
ln(x+4) = ln(e^2y)
ln(x+4) = 2y
y = ln(x+4) ÷ 2
[tex]f^{-1}(x)= \frac{ln\ x+4}{2}[/tex]
Therefore, To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and [tex]f^{-1}(x)= \frac{ln\ x+4}{2}[/tex]
Answer:
Put them in this order in the fill in the blanks, X,Y, 4, 2
Step-by-step explanation:
On June 4th 2020, a new language was created called Math - is - fun! This language is a place value system which is written horizontally and the units place is on the right side and there is a space between each unit. The numerals used for this language are as follows: ! + 1 10 The positional values are as follows: ...,15^3 x 7^1, 15^2 x 7^1, 15 x 7^1, 7^1, 7^0 1) Write the numeral 125,126 in the language of Math – is – fun!
Answers
Answer:
56555666565252
Step-by-step explanation:
the numeral 125,126 in the language of Math - is - fun! is "+ 15 x 7¹ + 15 x 7¹ + 7¹ + 7⁰".
In the language of Math - is - fun!, the numerals used are !, +, 1, and 10. The positional values are as follows: ..., 15³ x 7¹, 15² x 7¹, 15 x 7¹, 7¹, 7⁰.
To write the numeral 125,126 in the language of Math - is - fun!, we need to express it using the available numerals and positional values.
125,126 can be expressed as:
15² x 7¹ + 15 x 7¹ + 7¹ + 7⁰
In Math - is - fun! notation, this becomes:
+ 15 x 7¹ + 15 x 7¹ + 7¹ + 7⁰
So, the numeral 125,126 in the language of Math - is - fun! is "+ 15 x 7¹ + 15 x 7¹ + 7¹ + 7⁰".
Learn more about Math - is - fun! here
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Can someone explain how to answer this question please
Answers
Since we know that both triangles are similar to one another, meaning that the corresponding sides and angles of both triangles are congruent, we also know that when dividing or multiplying by a specific value we can go from one side length to the other. What I mean by that is if you were to multiply the side length of QP by a certain value, you would get the side length of YZ, the same can be said for the other corresponding sides. Knowing that, we must first divide the side length of YX, which is 18 cm, by the side length of QP, which is 7.2 cm. When we do that, we get the value that each side of the lefthand triangle was multiplied by to create the side lengths shown in the righthand triangle. In this case, it would be 2.5. Now we just need to create an equation to represent the values we are trying to solve for. In this case, we are first trying to determine the side length of XZ. As I said before, corresponding sides of similar triangles are proportional. XZ’s corresponding side would be PR, which we know to be 6.5 cm long. Therefore, we must multiply 6.5 by 2.5 (our scaling factor) in order to get the side length of XZ, which would then be 16.25. Now, we just need to do the opposite to get the side length of QR. This time we would divide by 2.5 in order to scale our triangle down. So, the value of QR’s corresponding side is YZ, which is 17, we would then divide that by 2.5, and get 6.8 as our answer. Hopefully that cleared some things up for you.
Polynomial function in standard form with zeros 5,-4,1
Answers
Answer:
[tex]\boxed{\sf \ \ \ x^3-2x^2-19x+20 \ \ \ }[/tex]
Step-by-step explanation:
hello,
by definition we can write
[tex](x-5)(x+4)(x-1)[/tex]
as 5,-4,1 are the zeroes
now we have to write it in the standard form, let's do it
[tex](x-5)(x+4)(x-1)=(x^2+4x-5x-20)(x-1)\\=(x^2-x-20)(x-1)=x^3-x^2-20x-x^2+x+20\\=x^3-2x^2-19x+20[/tex]
hope this helps
Mrs. Boiler is three times as old as her son, William. Mr. Boiler is 4 years older than his wife. If William's age will be x years old in 5 years, express the sum of their current ages, in terms of x.
Answers
Answer:
william's age=x-5, mrs boiler=3 (x-5), mr boiler=4+3 (x-5) the sum=7x-31
Apply the distributive property to create an equivalent expression. 6 (a +2b+3c)
Answers
Answer:
6a + 12b + 18c
Step-by-step explanation:
6 (a +2b+3c)
Distribute
6a + 6*2b + 6*3c
6a + 12b + 18c
: Write the equation of the line in Point-Slope Form given the information below. Slope=-2 Point=(1,-1)
Answers
Answer: y+1=-2(x-1)
Step-by-step explanation:
The point-slope formula is [tex]y-y_{1}=m(x-x_{1})[/tex]. Since we know the coordinate and slope, we can directly plug them in.
[tex]y-(-1)=-2(x-1)[/tex]
[tex]y+1=-2(x-1)[/tex]
Tom bought a soft drink for 3 dollars and 7 candy bars. He spent a total of 24 dollars. How much did each candy bar cost ? i just need an equation to resembel this probelm
Answers
Answer:
24
Step-by-step explanation:
hi can I have help, please
Answers
Answer:
[tex]\left[\begin{array}{ccc}-5\\-5\\\end{array}\right][/tex]
Step-by-step explanation:
Consider any one of the vertices of A
To translate to the corresponding vertex in B , the requirement is
shift 5 to the left, that is negative 5
shift 5 units down that is negative 5
The single translation is [tex]\left[\begin{array}{ccc}-5\\-5\\\end{array}\right][/tex]
can someone help me with part b of question please.
Answers
125
Explanation
5 • 10^6 = 5,000,000
4 • 10^4 = 40,000
5,000,000 / 40,000 = 125
Answer:
125
Step-by-step explanation:
They want you to work out [tex]\\\frac{5 *10^{6} }{4*10^{4} }[/tex]
5 x 1000000/ 4 x 10000
[tex]\frac{5000000}{40000}[/tex] = 125
Please let me know if it's not correct.
Hope this helps :)
Plz help similarity in right triangle
Answers
Answer:
similar triangles have there corresponding sides proportional and corresponding angles equal
A convertible is traveling at 45miles per hour and it’s wheels have a diameter of 48 inches . How many complete revolutions do the wheels make in one minute
Answers
Answer: 315.3 min^-1
Step-by-step explanation:
Given the following :
Speed = 45miles per hour
Diameter of wheels = 48inches
Number of complete revolutions the wheel makes in one minute =?
Since wheel diameter is in inches, we convert speed (miles/hour) to inch per minute
1 mile = 63360 ; 60minutes = 1 hour
45 miles / hour = (45 × 63360) / 60
= 2851200 inch/60 min
= 47520inch/min
Distance covered per revolution:
Circumference of a circle (C) = 2πr
Where r = radius ; r = diameter / 2
r = 48/2 = 24 inches
C = 2 * 3.14 * 24 = 150.72inches
Number of revolutions per minute:
Speed per minute / distance covered per revolution
(47520inch/min)/ (150.72 inch)
= 315.286 min^-1
Is the function f(x) =(4)^x -2 an exponential function. If so, identify the base. If not, why not?
Answers
Answer:
Yes.
Base: 4
Step-by-step explanation:
Since we have 4 to the power of x, we do indeed have an exponent. The -2 just signifies vertical movement down.
what is the coefficient of b in the expression b² - 5b +18
Answers
Answer:
-5
Step-by-step explanation:
This is a quadratic polynomial that has the form ax²+bx+c :
a = 1b= -5 c= 18here the coefficient of b is -5
Answer:
5
but if you sure just looking for the coefficient to just plain b, it is 5
the coefficient of (b^2) is 1 and the coefficient of b itself -5
the reason i say coefficient to (b^2) is 1 because there is no numder in front
of the variable , it is automatically assumed to be 1
Step-by-step explanation:
a coefficient is a numder that a variable is multiplied by
help me please :) thanks
Answers
The Answer: A :)
Answer: B
Step-by-step explanation: graph b
What is the speed of a plane that goes 15000 miles per hour in per seconds?
Answers
Answer:
There are 60 * 60 = 3600 seconds in one hour so the plane goes 15000 / 3600 = 4 and 1/6 miles per second.
Answer:
[tex]4 \frac{1}{6} \: miles \: per \: seconds[/tex]Step-by-step explanation:
[tex]1500 \: miles \: \: per \: hour[/tex]
[tex] = \frac{15000}{60 \times 60} [/tex]
[tex] = \frac{15000}{3600} [/tex]
[tex] = \frac{25}{6} [/tex]
[tex] = 4 \frac{1}{6} \: miles \: per \: second[/tex]
Hope this helps...
Good luck on your assignment...
Leonardo wrote an equation that has an infinite number of solutions. One of the terms in Leonardo's equation is missing, as shown below. Negative (x minus 1) + 5 = 2 (x + 3) minus box Which could be the missing term that Leonardo put into the box? x 3x 1 5
Answers
Answer:
The missing term is 3x
Step-by-step explanation:
Given
-(x - 1) + 5 = 2(x + 3) - _
Required
Find _
For proper identification of the parameters, represent _ with Z
So, the equation becomes
-(x - 1) + 5 = 2(x + 3) - Z
Open bracket (start from the left hand side)
-x + 1 + 5 = 2(x + 3) - Z
-x + 1 + 5 = 2x + 6 - Z
Solve like terms
-x + 6 = 2x + 6 - Z
Subtract 6 from both sides
-x + 6 - 6 = 2x + 6 - 6 - Z
-x = 2x - Z
Subtract 2x from both sides
-x - 2x = 2x - 2x - Z
-3x = -Z
Multiply both sides by -1
-3x * -1 = -Z * -1
3x = Z
Reorder
Z = 3x
Hence, the missing term is 3x
Answer:
answer is 3x
Step-by-step explanation:
If x, y, z, are integers such that 2^x*3^y*7^z=329, Then what is x, y, and z? PLZZZZ HELP THANK YOU
Answers
Answer:
I just answered this question lol but the answer is 2^0*3^0*7^47=329. Hope this helps!!
Step-by-step explanation: