We came to the conclusion that not all 3 but 2 angles in an isosceles triangle are congruent.
What do we mean by isosceles triangle?An isosceles triangle in geometry is one that has at least two equal-length sides.
There are two ways to define it: either as having precisely two sides of equal length or at least two sides of equal length, with the equilateral triangle being an exception to the second definition.
Isosceles Triangle: If either of a triangle's two sides is equal, the triangle is said to be isosceles.
If the triangle's three sides are X, Y, and Z.
When X = Y, X = Z, or Y = Z, the triangle is isosceles.
Triangles without equal sides are known as scalene triangles.
Therefore, we came to the conclusion that not all 3 but 2 angles in an isosceles triangle are congruent.
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At this rate, if Candidate A received 45 votes, how many votes did Candidate B receive?
The number of votes that Candidate B received, given the rate and the votes received by Candidate A, is 63 votes
How to find the number of votes?The question shows that for every 5 votes received by Candidate A, Candidate B will receive 7 votes.
This means that if Candidate A has 45 votes, the number of votes that Candidate B would receive can be found to be :
= Number of votes received by Candidate A / Number of votes Candidate A receives per Candidate B x Number of votes Candidate B receives per Candidate A
= 45 / 5 x 7
= 9 x 7
= 63 votes
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The first part of the question is:
Candidate A receives about 5 votes for every 7 votes received by Candidate B.
Is ABCD a rhombus explain?
The ABCD parallelogram turns into a rhombus if all of its sides are equal.
What are the geometric properties of a parallelogram and a rhombus?Geometry of a parallelogramEqual are the sides that oppose.Equal angles are opposite angles.Each other in a diagonal.Nevertheless, the length of diagonals varies.Geometric characteristics of rhombusAll Sides are equal.
Diagonals bisect at 90°.
In our question,
AB = DC is given for a quadrilateral ABCD (parallelogram).
When a parallelogram's sides are uneven, symmetry is disrupted and its diagonals do not bisect at 90 degrees. However, when all of the sides are equal, the diagonal does bisect at 90 degrees and the parallelogram becomes a rhombus.
Therefore, when all of a parallelogram's sides are equal, it becomes a rhombus.
The complete question is:
You are trying to prove that quadrilateral ABCD is a rhombus. You know that both pairs of opposite sides are parallel (a parallelogram). Which additional fact would prove that ABCD is a rhombus?
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Suppose a network has 37 servers of which 8 fail. How many possibilities are there for the 8 that fail?
The number of possibilities for 8 of 37 servers to fail is 38608020
How to determine the ways of selection?From the question, we have
Total number of servers, n = 37
Numbers to servers that fail, r = 8
The number of ways for 8 serves to fail is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 37 and r = 8
Substitute the known values in the above equation
Total = ³⁷C₈
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 37!/29!8!
Evaluate
Total = 38608020
Hence, the number of ways is 38608020
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Find the amount Erica owes at the end of 6 years if $ 5300 is loaned to her at a rate of 8 % compounded monthly. use A=P(1+r÷n)ⁿt
The amount owed is $
(Do not round until the final answer. Then round to the nearest cent as needed.)
The final amount compounded monthly at a rate of 8% over 6 years on a principal of $5300 is $8551.56
Compound InterestCompound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.
The formula of compound interest as given in the questions is
A = Final amount P = principalr = ratet = timen = number of times compoundedA = P[(1 + r/n)^nt
Substituting the values into the formula
A = 5300(1 + 0.08/6)^12 * 6
A = 8,551.56
Erica will owe $8551.56
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How do I calculate a fraction of a fraction?
Multiply the fraction's bottom numbers with the top numbers in the two fractions.
The two fractions' top numbers should be multiplied, as should the bottom numbers.
Find the fraction of the following two fractions, for instance:
2/3, and 4/5
= 2/3 × 4/5
= (2×4)/(3×5)
= 8/15
Multiplication:
Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
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please help!!!
A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $9, and tickets cost $20 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
9 + 20p ≤ 125
Step-by-step explanation:
This does not include the tax.
Ms. Rios mowed
1
4
of her lawn. Her son mowed
3
7
of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
Her son mowed the most lawn
35%of the lawn meeds to be mowed
the circumference of a circle can be found using the formula c 2r
The circumference of a circle can be found using formula 2πr where r is the radius of circle.
What is the circumference of a circle?
A circle's or an ellipse's circumference is its perimeter. The circumference would be the length of the circle's arc, if the circle were opened up and straightened out to a line segment, in other words.
Suppose the radius of a circle is 5cm
So, we can find the circumference by using formula 2πr
Circumference = 2 × π × 5 = 10π cm.
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How do you find the slope of a vertex?
How to find a parabola's equation using its Vertex Form
Step 1: use the (known) coordinates of the vertex, (h,k), to write the parabola's equation in the form: y=a(x−h)2+k. ...
Step 2: find the value of the coefficient by substituting the coordinates of point P into the equation written in step 1 and solving for a.
Choose the symbol that correctly compares these numbers.
18.6? 18.7
O A. <
OB. =
O C. >
Answer: A
Step-by-step explanation:
18.6 is less than 18.7
so 18.6<18.7
In a normal distribution, a data value located 1.4 standard deviations below the mean has Standard Score: z =
In a normal distribution, a data value located 2.3 standard deviations above the mean has Standard Score: z =
In a normal distribution, the mean has Standard Score: z =
In a normal distribution, a data value located 1.4 standard deviations below the mean has Standard Score: z = -1.4.
In a normal distribution, a data value located 2.3 standard deviations above the mean has Standard Score: z = 2.3.
In a normal distribution, the mean has Standard Score: z = 0.
What is a standard score?In Mathematics, a standard score is sometimes referred to as a z-value or z-score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
Additionally, a standard score indicate the number of standard deviations above or below the mean in which a raw score or data item falls.
Generally speaking, a standard score is positive when the data value is above (greater than) the mean while it is negative when the data value is below (less than) the mean.
In a normal distribution, the standard score of the mean is given by:
Standard score, z = (x - μ)/σ
Standard score, z = (μ - μ)/σ
Standard score, z = 0/σ
Standard score, z = 0.
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How do you tell if a function has a discontinuity?
We know that a function has a discontinuity if the left hand limit and right hand limit of the function are there but they are not equal.
According to the question,
We have the following information:
A function is given and we need to find if the given function is discontinuous or not.
There are two situations to find this whether the function is discontinuous or not. First, we need to know that the function has both the left hand limit as well as the right hand limit.
Second condition is to check whether if the limits are equal or not. If they are not equal then the function is discontinuous.
Hence, we know that a function has a discontinuity if the left hand limit and right hand limit of the function are there but they are not equal.
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8. A store has 1,296 puzzles at the
beginning of the weekend. At the end of
the weekend, there are 854 puzzles left.
Write and solve an addition equation to
find how many puzzles were sold over
the weekend.
Answer:
1296 + -442 = 854
Step-by-step explanation:
If
1296 - 854 + 442
then
1296 + -442 = 854
Fill in the t-table below for the equation. Then graph the line on the grid by selecting two of the points
from your table.
y=-3x - 4
X
-1
0
1
y
The complete table of values of the linear equation y = -3x - 4 is
x y
-1 -1
0 -4
1 -7
How to complete the table of values?From the question, we have the following parameters that can be used in our computation:
y = -3x - 4
Also, we have the following table of values
x y
-1
0
1
The above table of values mean that the x values are
x = -1, 0 and 1
Substitute x = -1, 0 and 1 in the equation y = -3x - 4
So, we have the following representation
When x = -1
y = -3(-1) - 4 = -1
When x = 0
y = -3(0) - 4 = -4
When x = 1
y = -3(1) - 4 = -7
So, we have the following ordered pairs
(-1, -1), (0, -4) and (1, -7)
When represented on the table of values, we have
x y
-1 -1
0 -4
1 -7
The above represents the complete table of values
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Solve the compound inequality 1/2 x − 4 < 3 and 7 ≤ 3x + 5.
[tex] \frac{1}{2} x - 4 < 3 \\ [/tex]
Add both sides 4
[tex] \frac{1}{2} x - 4 + 4 < 3 + 4 \\ [/tex]
[tex] \frac{1}{2} x < 7 \\ [/tex]
Multiply both sides by 2
[tex]2 \times \frac{1}{2} x < 2 \times 7 \\ [/tex]
[tex]x < 14[/tex]
_____________________________________________
[tex]7 \leqslant 3x + 5[/tex]
[tex]3x + 5 \geqslant 7[/tex]
Subtract both sides minus 5
[tex]3x + 5 - 5 \geqslant 7 - 5[/tex]
[tex]3x \geqslant 2[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} \geqslant \frac{2}{3} \\ [/tex]
[tex]x \geqslant \frac{2}{3} \\ [/tex]
Question 1: Multiply: 12.10²
A 120
B 12000
c 1200
D 1.2
Am pula mare!
Da aaaaaaaaaaa????
A parachutist's rate during a free fall reaches 216 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 20 seconds of free fall? Do not round your answers.
Rate:
Distance fallen in 20 seconds:
The free fall speed of a parachutist can exceed 216 kilometres per hour. During his 20 seconds of free fall, the parachutist will plunge 1960 metres.
What is Acceleration ?Every time an object is subject to a net force that is greater than zero, acceleration happens. You can experience it when riding down a steep hill on your sled in the snow or when you slightly accelerate or decelerate in an elevator. Furthermore, we know that the universe as a whole is expanding at an even faster rate because to the general theory of relativity. This implies that the distance between two places is always enlarging, yet we are oblivious to this on a daily basis because every scale in the universe also expands.
During free only acceleration due to gravity(g) acts on the parachutist. Assuming acceleration due to gravity is positive i.e. g=9.8m/s² .
For conversion we know that
1 km = 1000 m and
1 hr = 3600 seconds
216 km/hr = 60 m/s
Location of parachutist during 20 seconds
[tex]h = \frac{1}{2} \times g \times t^2[/tex]
[tex]h=\frac{1}{2} \times 9.8 \times 20^2[/tex]
h = 1960 meters
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what is the length of ac brainly
The length of AC is equal to 5 units.
Given:
From the figure :
ΔABC is a right angled triangle with sides:
AB = 3 and BC = 4
Right angled triangle:
A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees.
The other two angles sum up to 90 degrees. The sides that include the right angle are perpendicular and the base of the triangle.
The third side is called the hypotenuse, which is the longest side of all three sides.
we know that,
According to pythagorean theorem:
[tex]AB^2+BC^2 = AC^2[/tex]
3^2 + 4^2 = AC^2
9 + 16 = AC^2
AC^2 = 25
AC = [tex]\sqrt{25}[/tex]
AC = 5 units.
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Full question:
is in the image uploaded
A sample of bacteria is decaying according to a half-life model. If the sample begins with 700 bacteria, and after 13 minutes there are 630 bacteria, after how many minutes will there be 20 bacteria remaining?
When solving this problem, round the value of k to four decimal places and round your final answer to the nearest whole number
The number of minutes for 20 bacteria be left is 439minutes. The decay constant is 0.0081
What is exponential function?An exponential function is a mathematical function, which is used in many real-world situations. It is mainly used to find the exponential decay or exponential growth or to compute investments, model populations and so on.
The No of bacteria left at a particular time t is given as N(t)= Noe^-kt
where No= initial number of bacteria
k= decay constant and t = time
after 13 minutes
630= 700e^-13k
divide both sides by 700
630/700= e^-13k
0.9= e^-13k
ln0.9= -13k
k= ln0.9/-13 = -0.1054/-13 = 0.0081
time for 20 bacteria to be left =
20= 700e^-0.0081t
= 20/700=e^-0.0081t
0.0286= e^-0.0081t
ln0.0286= -0.0081t
-3.554= -0.0081t
divide both sides by -0.0081
t= -3.554/-0.0081= 439 minutes ( nearest minutes)
therefore the time for the bacteria to be left is 439minutes
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Solve for m.
m+14<−125
Responses
m>−11320
m is greater than negative 1 and 13 over 20
m<−1320
m is less than negative 1 and 3 over 20
m<−11320
m is less than negative 1 and 13 over 20
m>−1320
The solution for m in the inequality expression is m < -139
How to determine the solution for m?From the question, we have the following inequality expression that can be used in our computation:
m+14<−125
Subtract 14 from both sides of the inequality
So, we have
m + 14 - 14 <−125 - 14
Evaluate the like terms
This gives
m < -139
Hence, the solution is m < -139
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The table shows the lengths of hiking trails. It took Lannie 1.9 hours
to hike Ranger Cove Trail. It took Ava 4 hours to hike Mohawk Trail.
Write and solve an equation to find the average hiking rate for
Lannie. Write and solve an equation to find the average hiking rate
for Ava. What is the difference between their average hiking rates?
Round to the nearest tenth.
The difference between their average hiking rates is 0.51 miles/hour.
Given that, it took Lannie 1.9 hours to hike Ranger Cove Trail. It took Ava 4 hours to hike Mohawk Trail.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Using speed =Distance/Time
Here, Ranger Cove distance =4.8 miles and time =1.9 hours
Now, rate =4.2/1.9
= 2.21 miles/hour
Mohawk Trail distance =6.8 miles and time =4 hours
Now, rate =6.8/4
= 1.7 miles/hour
The difference between their average hiking rates
= 2.21-1.7
= 0.51 miles/hour
Hence, the difference between their average hiking rates is 0.51 miles/hour.
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3(2x - 5) = 9(10 - x)
Answer:
x=7
Step-by-step explanation:
3(2x-5)=9(10-x)
6x-15=90-9×
6x+9x=90+15
15x=105
×=7
Answer:
x = 7
Step-by-step explanation:
1. Distribute
3(2x - 5) = 9(10 - x)
6x - 15 = 9(10 - x)
2. Rearrange Terms
6x - 15 = 9(10 - x)
6x - 15 = 9(-x + 10)
3. Distribute
6x - 15 = 9(-x + 10)
6x - 15 = -9x + 90
4. Add 15 to both sides
6x - 15 = -9x + 90
6x - 15 + 15 = -9x + 90 + 15
5. Simplify
Add the numbers:
6x - 15 + 15 = -9x + 90 + 15
6x = -9x + 90 + 15
Add the numbers:
6x = -9x + 90 + 15
6x = -9x + 105
6. Add 9x to both sides
6x = -9x + 105
6x + 9x = -9x + 105 + 9x
7. Simplify
Combine like terms:
6x + 9x = -9x + 105 + 9x
15x = -9x + 105 + 9x
Combine like terms:
15x = -9x + 105 + 9x
15x = 105
8. Divide both sides by the same factor
15x = 105
15x/15 = 105/15
9. Simplify
Cancel terms that are in both the numerator and denominator:
15x/15 = 105/15
x = 105/15
Divide the numbers:
x = 105/15
x = 7
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Gert invested all of her money at the end of 2000. At the end of each year, she checks the value of her investment. At the end of what ear will she first find she's doubled her money if gert invested all of her money at 5% simple interest?
The year in which Gert will find that she has doubled her money is year 20.
What year will the amount have doubled?
Simple interest is when the interest earned on an investment increases linearly each year.
The formula that can be used to determine simple interest is:
Simple interest = amount invested x duration of the investment x interest rate.
When the amount of money in the account is double what it is now, it means that the interest earned would be $2000 and the value of the account would $4000 (2000 + 2000).
Year when investment would have doubled = simple interest / (amount invested x interest rate)
Year when investment would have doubled = $2000 / (0.05 x 2000)
Year when investment would have doubled = $2000 / 100 = 20 years
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degree of polynomial function examples
Examples of one variable polynomial:
• Zero polynomial: 3
The degree of the polynomial is not defined
• Constant polynomial: f(x)= 3
The degree of the polynomial is 0
• Linear polynomial: f(x)= 3x
The degree of the polynomial is 1
• Quadratic polynomial: f(x)= 2x^2+3-1
The degree of the polynomial is 2
• Cubic polynomial: f(x)= 3x^3-5x+2
The degree of the polynomial is 3
• Quartic polynomial: f(x)= 5x^4-6x^2+2x+3
The degree of the polynomial is 4
Example of multiple variable polynomial:
Polynomial: f(x)= 5x^4y^2z^3+3x^2yz+2xz
The degree of the polynomial is 9.
Degree of the polynomial:
The highest or greatest power of a variable in a polynomial equation is referred to as the degree of the polynomial. The degree denotes the polynomial's highest exponential power.
Types of polynomial:
• Zero polynomial
• Constant polynomial
• Linear polynomial
• Quadratic polynomial
• Cubic polynomial
• Quartic polynomial
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Consider the expression 4x^2+x+34x 2 +x+34, x, squared, plus, x, plus, 3. Complete 222 descriptions of the parts of the expression.
[tex]72x^{2}+3x+3[/tex]Answer:
Step-by-step explanation:
[tex]1. (4x^{2}+34x^{2} +34x^{2} )+(x+x+x)+3\\ 2. 72x^{2} +3x+3[/tex]
A quality control activity analysis indicated the following four activity costs of a hotel. Verifying credit card information $189,800 Customer service training 379,600 Discounting room rates due to poor customer service 94,900 Correcting charges to customer invoices 284,700 Total $949,000
The percentage of the quality cost, that is taken up by the prevention and appraisal costs are:
Prevention cost - 40%Appraisal cost - 20%How to find the percentage of cost?The prevention cost would be the cost associated with customer service training as this ensures that less mistakes are made.
The appraisal cost would be the cost to verify credit card information.
The percentage of total quality control cost that prevention cost is, would be:
= 379, 600 / 949, 000 total
= 40 %
The percentage for appraisal cost is:
= 189, 800 / 949, 000
= 20 %
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The rest of the question is:
Present the percentage values of prevention and appraisal as a percentage of the quality cost.
How do you define a function?
A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
This means that a function f will map an object x to exactly one object f(x) in the set of potential outputs if the object x is in the set of inputs (referred to as the domain) (called the codomain).
The metaphor of a function machine, which accepts an object as its input and produces another object as its output based on that input, makes the concept of a function simple to understand.
Given a collection of possible outputs Y (codomain) and a set of inputs X (domain), a function is more precisely defined as f: X→Y which shows that f is a function from X to Y using this notation.
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what is the fourth term of d 4b3
The fourth term of the polynomial (d - 4b)³ is D. -64d³.
What is a polynomial?A polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.
Given the expression (d - 4b)³, we need to open the bracket, hence:
(d - 4b)³ = d³ + 3(d²)(-4b) + 3(d)(-4b)²
= d³ - 12bd² + 48b²d - 64d³
Therefore, the fourth term of (d - 4b)³ is D. -64d³
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You recently joined a gym. You had to pay a joining fee of $40, and you will pay $20 per month to maintain the membership. Part A (6 points) Write an equation in slope-intercept form that represents the cost of the membership in relation to time.
The cost of the membership is the initial joining fee plus the cost per month multiplied by the number of months.
If the cost after [tex]m[/tex] months is [tex]c[/tex] dollars, then [tex]c=20m+40[/tex].
list all of the mutipes of 5 less than or equal to 50
Answer: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Step-by-step explanation: Add 5 until you get to 50.
