Answer:If the corresponding sides are known then they can be calculated.
Step-by-step explanation:If the measures of corresponding sides are known, then their proportionality can be calculated.
Write a polynomial function of least degree with integral coefficients that has the given zeros
The polynomial function of least degree with integral coefficients is equal to f(x) = x³ - 4x² + x + 6 with the given zeros 3, 2, -1.
As given in the question,
Given zeros of the polynomial function are :
3, 2, -1
⇒ ( x - 3 ) =0 or ( x - 2 ) = 0 or ( x + 1 ) = 0
Polynomial function of the given factors ( x - 3 ) =0 or ( x - 2 ) = 0 or
( x + 1 ) = 0 is given by :
f (x ) = ( x - 3 )( x - 2 )( x + 1 )
⇒ f(x) = ( x² - 3x - 2x + 6 ) ( x + 1 )
⇒ f(x) = ( x² - 5x + 6 ) ( x + 1 )
⇒ f(x) = x³ + x² -5x² - 5x + 6x + 6
⇒f(x) = x³ - 4x² + x + 6
Therefore, the required polynomial function of least degree with integral coefficients using given zeros is equal to f(x) = x³ - 4x² + x + 6.
The complete question is:
Write a polynomial function of least degree with integral coefficients that has the given zeros 3, 2, -1?
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Which of these relations is a function?
Answer:
the first one
Step-by-step explanation:
there cannot be two y-corrdinates under the same x-coordinates
Which criteria can be used to prove triangles are congruent select all that apply?
The four criteria that can be used to prove triangles are congruent and can be used to prove the triangles are congruent.
Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have a same appearance. They match up with one another when moved.
The four criteria that can be used to prove triangles are congruent are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSS (Side-Side-Side). Additionally, CPCTC (Corresponding Parts of Congruent Triangles are Congruent) can be used to prove the triangles are congruent.
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Determine the domain of the following graph
Answer:
this pretty vauge, next time just add a pic of the graph
Buck takes out a $235,000 mortgage at 4.3%. He plans to make monthly payments of $1,136 over the course of 30 years. What is the loan’s APR?
APR=2nfP(N+1
4.3%
4.9%
5.7%
7.9%
The loan's APR is 246.7%. Buck takes out a $235,000 mortgage at 4.3%. He plans to make monthly payments of $1,136 over the course of 30 years.
Define APR.The interest charged for borrowing that reflects the real yearly cost of the loan stated as a percentage is called the annual percentage rate (APR). the annual percentage cost of borrowing, which takes into account interest and other costs. Example. An APR of 9% is calculated using a $1000 loan with an annual interest rate of $80 and a service charge of $10.
Given,
Without a doubt, given that
Buck borrowed $235,000 in all.
$1136 in monthly payments
Loan term:
30 years
30 × 12
360 months
Buck's repayment amount equals monthly payments length of the loan
= 360 x 1136
= $408960
APR
= Amount paid back by buck - Amount borrowed by buck/Amt borrowed × Duration
= 408960 - 235000/235000 × 30
= 2.467 × 100
= 246.7%
The loan's APR is 246.7%. Buck takes out a $235,000 mortgage at 4.3%. He plans to make monthly payments of $1,136 over the course of 30 years.
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Answer:
4.3%
Step-by-step explanation:
correct on odyssey
HELP!!!!! How do I solve these two problems????
The angle x of the isosceles triangle is 64 degrees.
The side and angle of the similar polygon are 7.5 units and 20 degrees.
How to find the angle of a triangle and polygon?The triangle above is an isosceles triangle. An isosceles triangle is a triangle that has 2 sides equal to each other and two angles equal to each other.
Therefore, the base angle of the isosceles triangle are equal.
Hence,
52 + x + x = 180
52 + 2x = 180
2x = 180 - 52
2x = 128
x = 128 / 2
x = 64 degrees
Similar polygons are two polygons with the same shape, but not the same size. Similar polygons have corresponding angles that are congruent, and corresponding sides that are proportional.
Therefore, let's find x and y in the polygon.
x / 5 = 6 / 4
cross multiply
4x = 30
x = 30 / 4
x = 7.5
y - 73 = 360 - 90 - 61 - 116
y - 73 = 93
y = 93 - 73
y = 20
Therefore, the angle x of the isosceles triangle is 64 degrees and the sides x of the polygon is 7.5 units and the angle y of the polygon is 20 degrees.
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A group spends $277.50 to rent 15 tubes for a float down the ichetucknee river. How many of each type of tube does the group rent?
The rental fee for each tube is $18.50 for the 15 tubes for a float down the ichetucknee river.
The cost is determined as the amount of money spent on some causality and thus it is calculated as the total of money that is spend from the money deposited form.
Here we have A group spent $277.50 to rent 15 tubes for a trip down the Ichetucknee River.
Cost of each tube, Assuming the group spends $277.50 on renting 15 tubesCost of renting 1Letbethe * 44 tubes 444 So the cost of renting 15 tubes = 15x = 15xSo the total cost of renting 15 tubes =\$277.50From the above calculation,=> 15x =\$ 277.50=> x = 277, 5/15 = 18.5Rental cost per pipe is 18.5$.Read more about cost;
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What is the relation between scale factor and sensitivity of a transducer 1 point?
The relationship between scale factor and sensitivity of a transducer is scale factor is the inverse of the sensitivity
The scale factor is defined as the ratio between the original measurement and the new measurement.
If the scale factor is greater than 1, then the we are enlarging the measurement. If the scale factor is between 0 and 1, then we are shrinking the measurement
The sensitivity of the transducer is the output obtained per unit changes in the input. The higher sensitivity and lower sensitivity will lead to error. So the sensitivity should be moderate
Here the scale factor is inverse of the sensitivity, when the scale factor increases the sensitivity decreases
Therefore, the scale factor is the inverse of the sensitivity
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When the coordinates 1 1 7 3 8 0 and 2 − 2 are joined which shape is formed 5 points group of answer choices trapezoid rectangle rhombus square?
the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined which shape is formed as Square
When the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined, a square is formed. The sides are equal length and the angles are all 90 degrees.The coordinates (1,1), (7,3), (8,0) and (2,-2) are points on a two-dimensional plane. When the points are connected, a square is formed. A square is a four sided shape with four 90 degree angles and four equal length sides. The length of each side can be calculated by finding the distance between the two points. For example, the distance between (1,1) and (7,3) is 6 units. Therefore, the length of each side of the square is 6 units.
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the amusement park built a new roller coaster.When the train exits the gate, it climbs 170 feet up the first hill before dropping 164 feet down. write an solve an equation to represent the change in elevation
The change in elevation will be 12 feet.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
When the train exits the gate, it climbs 170 feet up the first hill before dropping 164 feet down,the change in elevation will be:
= 176 - 164
= 12
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For what slit-width-to-wavelength ratio does the first minimum of a single-slit diffraction pattern appear at (a) 30 degrees (b) 60 degrees, and (c) 90 degrees? Hint: The small-angle approximation is not valid.
The slit-width-to-wavelength ratio for 30 degrees will be 2; for 60 degrees will be 0.87, and lastly, for 90 degrees angles will be 1.
The computation of slit-width-to-wavelength ratio for each of the angles after assuming that the small-angle approximation as invalid, has been given, as below,
sin θ = λ / a
sin30∘ = λ / a
0.5 = λ / a
a / λ = 2
Similarly,
sin θ = λ / a
sin60∘ = λ / a
0.87 = λ / a
a / λ = 0.87
And lastly, for 90 degrees
sin θ = λ / a
sin90∘ = λ / a
1 = λ / a
a / λ = 1
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Can you prove congruence with 3 angles?
It is NOT necessary for two triangles to be congruent just because the three angles (AAA) connecting them are congruent.
Given,
The congruent angles;
Angles of equal measure are said to have congruent angles. Thus, all angles with the same measure are referred to as congruent angles. They can be found everywhere, such as in isosceles triangles, equilateral triangles, and situations where a transversal intersects two parallel lines.
That is,
The triangles do not necessarily need to be congruent just because the three angles (AAA) between two triangles are similar. They have the same shape (or something similar), but we have no idea how big they are.
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Write a fraction that is equivalent to a terminating decimal between 0.25 and 0.50
The fraction that is equivalent to a terminating decimal between 0.25 and 0.50 will be 2/5.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.
The decimal numbers are 0.25 and 0.50.
The decimal number that comes between the decimal numbers 0.25 and 0.50 will be an infinite number. Let the number be 0.40 which comes between the numbers 0.25 and 0.50.
Convert a decimal number into a fraction number. Then we have
0.40 = 0.40 x 10 / 10
0.40 = 4 / 10
0.40 = 2 / 5
The fraction that is equivalent to a terminating decimal between 0.25 and 0.50 will be 2/5.
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approximate negative twelve plus square root of eighty to the nearest tenth.
Answer:
A Square Root of 80 to the nearest tenth, means to calculate the square root of 80 where the answer should only have one number after the decimal point.
Here are step-by-step instructions for how to get the square root of 80 to the nearest tenth:
Step 1: Calculate
We calculate the square root of 80 to be:
√80 = 8.94427190999916
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
8.94
Step 3: Round
Round 8.94 so you only have one digit after the decimal point to get the answer:
8.9
To check that the answer is correct, use your calculator to confirm that 8.92 is about 80.
Answer:
You're answer is 8.9. Hope it helps.
A thermometer shows the temperature in degrees Celsius (°C) and degrees Fahrenheit (°F). One day, it shows 68°F and 20°C. The next day, it shows 50°F and 10°C.
Determine if there is a proportional relationship between the temperature in degrees Celsius and the temperature in degrees Fahrenheit.
Answer:
To determine if there is a proportional relationship between the temperature in degrees Celsius and the temperature in degrees Fahrenheit, we need to see if the ratio of the temperature in degrees Celsius to the temperature in degrees Fahrenheit is constant.
On the first day, the ratio of the temperature in degrees Celsius to the temperature in degrees Fahrenheit is 20°C / 68°F = 5/17.
On the second day, the ratio of the temperature in degrees Celsius to the temperature in degrees Fahrenheit is 10°C / 50°F = 1/5.
Since the ratio of the temperature in degrees Celsius to the temperature in degrees Fahrenheit is different on the two days, there is not a proportional relationship between the temperature in degrees Celsius and the temperature in degrees Fahrenheit.
Step-by-step explanation:
Since both data points satisfy the proportional relationship equation, we can conclude that there is a proportional relationship between the temperature in degrees Celsius and the temperature in degrees Fahrenheit.
Do we have a proportional relationship between the temperature in degrees Celsius and the temperature in degrees Fahrenheit?To determine if there is a proportional relationship between the temperature in degrees Celsius (°C) and degrees Fahrenheit (°F), we can check if the data points given for both temperatures satisfy the proportional relationship equation:
°F = (9/5) * °C + 32
Let's calculate the proportional relationship using the given data points:
1. First data point: 68°F and 20°C
°F = (9/5) * 20 + 32
°F = 36 + 32
°F = 68
The first data point (68°F and 20°C) satisfies the proportional relationship equation.
2. Second data point: 50°F and 10°C
°F = (9/5) * 10 + 32
°F = 18 + 32
°F = 50
The second data point (50°F and 10°C) also satisfies the proportional relationship equation.
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Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a radius of 13 feet and a height of 18 feet. Container B has a
radius of 11 feet and a height of 20 feet. Container A is full of water and the water is
pumped into Container B until Conainter B is completely full.
To the nearest tenth, what is the percent of Container A that is full after the pumping
is complete?
Container A
R= 13
h=18
Container B
2=11
h=20
Answer:
To find the volume of water that was pumped from container A, we first need to find the volume of each container. We can use the formula for the volume of a cylinder to do this. The formula is V = πr^2h, where r is the radius of the cylinder and h is the height.
For container A, the volume is V = π * 13^2 * 18 = 8640π cubic feet
For container B, the volume is V = π * 11^2 * 20 = 7320π cubic feet
Since the water from container A completely filled container B, the volume of water that was pumped from container A is 8640π - 7320π = 1320π cubic feet.
To find the percent of container A that is full, we need to divide the volume of water remaining in container A by the total volume of container A and multiply by 100%. The total volume of container A is 8640π cubic feet, and after the water was pumped into container B, the volume of water remaining in container A is 8640π - 1320π = 7320π cubic feet.
Therefore, the percent of container A that is full is 7320π / 8640π * 100% = approximately 84.9% to the nearest tenth.
Jayden practices the piano 420 minutes in 2 weeks. Assuming he practices the same amount every week, how many minutes would he practice in 3 weeks?
Answer: Jayden would practice for 630 minutes.
Step-by-step explanation:
You know that he practices for 420 minutes in 2 weeks. Divide them by each other. [tex]\sqrt[2]{420}=210[/tex]
If one week is 210 minutes, 210x3=630 minutes.
Can somebody help me with number 3
Step-by-step explanation:
Angle 2 would be 49 ° because it's congruent to the other vertical angle.
Angle 3 in the left triangle is 68° and now that we know 2 is 49° we can solve that triangle.
The left triangle is 180° in total, to figure this out, listen to these steps
68 + 49 = 117°
180 - 117 = 63°
Angle 1 in left triangle is 63°
Angle 4 is 93 - 49 = 44°
and angle 3 would be = 87
49 + 44 + 87 = 180
Write the equation of a line in slope intercept form that has a slope of 1/2
and passes through the point (-2,3).
Answer:
[tex]y=\frac{1}{2}x+4[/tex]
Step-by-step explanation:
[tex]y-3=\frac{1}{2}(x+2) \\ \\ y-3=\frac{1}{2}x+1 \\ \\ y=\frac{1}{2}x+4[/tex]
brainly question 5: charlie has $125 when he goes to the school carnival. he spends $15 to enter the carnival and $40 on food. games at the carnival cost $5 each to play. which function can be used to determine how much money he has left over after x rides?
The function that can be used to determine the amount of money he has left over after x rides is y = 70 - 5x .
In the question ,
it is given that ,
the amount that Charlie has to spend on the school carnival is = $125 ,
the amount spend on entry is = $15 ,
the amount spend on food is = $40 ,
the cost for each ride is = $5 ,
so , let the number of rides be = "x"
So , let y represents the amount of money left with Charlie .
According to the question ,
the function that represents the money left is
y = 125 - (15 + 40 + 5x)
y = 125 - (55 + 5x)
y = 125 - 55 - 5x
y = 70 - 5x
Therefore , the function is y = 70 - 5x .
The given question is incomplete , the complete question is
Charlie has $125 when he goes to the school carnival. he spends $15 to enter the carnival and $40 on food. rides at the carnival cost $5 each to play. which function can be used to determine how much money he has left over after x rides ?
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levi drew a scale drawing of a house and its lot. the scale he used was 10 millimeters : 9 meters. the actual length of the front patio is 27 meters. how long is the patio in the drawing?
By using unitary method, it can be calculated that
30 mm is the length of the patio in the drawing.
What is unitary method?
Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity
Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.
Here, unitary method will be used
9000 mm in actual is equivalent to 10 mm in the drawing
1 mm in actual is equivalent to [tex]\frac{10}{9000}[/tex] mm in the drawing
27000 mm in actual is equivalent to [tex]\frac{10}{9000}\times 27000[/tex] mm in the drawing
27000 mm in actual is equivalent to 30 mm in the drawing
27 m in actual is equivalent to 30 mm in the drawing
30 mm is the length of the patio in the drawing.
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Keilantra spots an airplane on radar that is currently approaching in a straight line,
and that will fly directly overhead. The plane maintains a constant altitude of 7500
feet. Keilantra initially measures an angle of elevation ofa9° to the plane at point A. At some later time, she measures an angle of elevation of 34° to the plane at point B. Find the distance the plane traveled from point A to point B. Round your answer to
the nearest foot if necessary.
The distance between point A and point B is 36234 feet.
What is meaning of rounding to nearest feet?
Take a look at the straightforward process for rounding to the closest foot in the given points to become comfortable with the manual calculation:
Find the number of feet that is given first.
Look at the first digit following the decimal point, which is the digit we must round off.
If the value is in the range of 0 to 4, leave the digit we care about and trim the rightmost digits.
If the value is between 5 and 9, we should trim the rightmost portion of the number we care about and raise it.
The value that has been rounded to the closest foot is the final number.
Given that a plane maintains a constant altitude of 7500feet. Keilantra initially measures an angle of elevation of a 9° to the plane at point A. At some later time, she measures an angle of elevation of 34° to the plane at point B.
Assume that the position of Keilantra be X.
Draw a diagram that represent given situation.
Consider △ACX,
Applying tangent on the angle ∠AXC
tan 9° = AC/XC
tan 9° = 7500/XC
XC = 7500/ tan 9°
XC = 47353.13
Consider △XBD,
AC = BD = 7500
tan 34° = BD/XD
tan 34° = 7500/XD
XD = 7500/ tan 34°
XD = 11119.20
From the diagram,
AB = DC = XC - XD = 47353.13 - 11119.20 = 36233.92
Round to the nearest foot
AB = 36234
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Answer: its 10662
Step-by-step explanation:
just did it and that was the answer
Which equation represents a line passing through the point (8, 16) with a slope of 3?
A y=3x – 15
B)
y=3x + 33
C)
y=3x – 8
D)
y=3x + 9
Answer:
C) [tex]y=3x-8[/tex]
Step-by-step explanation:
[tex]y-16=3(x-8) \\ \\ y-16=3x-24 \\ \\ y=3x-8[/tex]
multiplying improper fractions 5/4 x 12/13
Answer:
60/52
Step-by-step explanation:
Answer: 15/13
Step-by-step explanation:
When multiplying improper fractions, we multiply the numerator by the numerator and the denominator by the denominator. So here we have:
5/4 * 12/13
= 60/52
= 15/13
What is a rectangle for Class 1?
The rectangle is a closed figure having 4 sides, 4 vertices, and 4 angles.
The opposite sides of the rectangle are parallel and equal to each other. The measure of the angles of the rectangle is 90° i.e. they are right angles.
A rectangle is a 2-dimensional figure.
All rectangles can be squares but all squares cannot be rectangles. A square is a special type of rectangle. This is possible when all the sides of the rectangle are equal.
The various objects in our day-to-day life which has rectangular shape are -
box, mobile, book, blackboard or whiteboard, table, etc.
The visual representation of the rectangle is as follows-
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AE=40,AB=x,BC=x+3,CD=2x,DE=x−6
Evaluate AB.
Answer:
16.2
Step-by-step explanation:
By the Segment Addition Postulate,
AB+BC+CD+DE=AE
x+(x+4)+(2x+1)+(x−6)=80
5x−1=80
5x−1+1=80+1
5x=81
5x÷5=81÷5
x=16.2
AB=x=16.2
x-3y = -18
2x - 6y = 6
Answer:
x = -4
y = 4.67
Step-by-step explanation:
What is the limit X?
The limit of x/|x| as x approaches 0 does not exists.
We need to find the limit of x/|x| as x approaches 0.
Consider left hand limit.
lim x -> 0- (x/|x|)
x/|x| = -1 for all negative values of x.
So, lim x -> 0- (x/|x|) = -1
Consider right hand limit.
lim x -> 0+ (x/|x|)
x/|x| = 1 for all positive values of x.
So, lim x -> 0+ (x/|x|) = 1
lim x -> 0- (x/|x|) ≠ lim x -> 0+ (x/|x|)
Therefore, the limit of x/|x| does not exists.
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The complete question is:
What is the limit of x/|x| as x approaches 0?
Question 18 (2 points)
A triangle has vertices at F(-7,3) G(2,6) and H(3,5). What are the coordinates of each vertex of the image if the triangle is reflected
over the line y=x?
a
O b
ос
Od
F(-3,7) G'(-6,-2) H'(-5,-3)
F(7,-3) G'(-2,-6) H'(-3,-5)
F(-7,-3) G'(-2,6) H'(-3,5)
F(3,-7) G'(6,2) H'(5,3)
The coordinates of each vertex of the given triangle FGH, if the triangle is reflected over the line y = x, are F'(3, -7), G'(6, 2), and H'(5, 3).
What is the rule for the reflection of a shape across the line y = x?The rule for the reflection across the line y = x is
(x, y) ⇒ (y, x)
Here the coordinates are shuffled or interchanged among themselves for a reflection and form an image.
Calculation:The given triangle has vertices at F(-7, 3), G(2, 6), and H(3, 5).
When it is reflected across the line y = x, the image of the triangle forms at the vertices
F(-7, 3) → F'(3, -7)
G(2, 6) → G'(6, 2)
H(3, 5) → H'(5, 3)
The reflection across the line y = x is shown in the graph below.
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David has a coin collection. He keeps 9 of the coins in his box, which is 2% of the collection. How many total coins are in his collection?
Multiply/scale up to solve.
Total Coins in the collection are 450 units
What is Percentage?
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The percent symbol, "%," is commonly used, however the abbreviations "pct.", "pct," and sometimes "pc" are also used. A percentage is a number with no dimensions; it has no unit of measurement.
Solution:
Given that 9 is 2% of the total collection
Let, total collection be x
2% of x is 9
2/100 * x = 9
x = 9 * 50 = 450
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