Answer:
obtuse because 6^2+10^2<10^2
Step-by-step explanation:
The given triangle whoe sides are 6cm, 10cm, and 12cm is an obtuse triangle and it can be determine by using pythagorian theorem, i.e. 6^2 + 10^2 < 12^2.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a^2 + b^2 = c^2.
here, we have,
Given :
The side lengths of a triangle are: 6cm, 10cm, and 12cm.
Pythagorian theorem can be used to find out that the triangles are acute or obtuse. According to pythagorian theorem, the sum of square of shorter side is equal to the square of the third side of the right angle triangle.
According to pythagorian theorem:.
That is, H^2 = P^2 + B^2.
There are some rules to find the triangle is obtuse or acute:
If H^2 > P^2 + B^2, than the triangle is obtuse.
If H^2 < P^2 + B^2, than the triangle is acute.
Now, applying pythagorian theorem:
we get,
6^2 + 10^2 = 12^2
136 = 144
Here, it is clearly observe that 136 < 144, i.e. 6^2 + 10^2 < 12^2 therefore, the triangle is obtuse.
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Find the radius of a sphere having a volume of 1000000 cm³
Answer:
radius is 62.04
Step-by-step explanation:
use the formula V=
[tex] v= \frac{4}{3} \pi {r}^{3} [/tex]
Is this a function or not because there’s a vertical line but the plots also go above each other .
Answer:
not a function because it doesn't pass the vertical line test
Step-by-step explanation:
even though they have different y coordinates they still don't pass the test
Jen has collected information about the students in her class and the month they were born.
Which of the following statements would be true about this information?
It is both a relation and a function.
It is not a relation, but it is a function.
It is a relation but not a function.
It is neither a relation nor a function.
The true statement about this information is that: A. It is both a relation and a function.
What is a function?A function can be defined as a mathematical expression which can be used to define and represent the relationship that exist between two or more variables in a population.
In this context, we can infer and logically deduce that the true statement about this information collected by Jen is that it's both a relation and a function because it indicates a relationship between two variables.
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Answer:
It is both a relation and a function.
Step-by-step explanation:
Drag each expression to the correct location in the equation. Not all expressions will be used.
Determine the two rational expressions whose difference completes this equation.
x² + x + 6
x(x-6)(x + 6)
The two rational expressions will be; (x + 2)/(x² - 36) and 1/(x² + 6x)
How to simplify Quadratic Expressions?We want to determine the two rational expressions whose difference completes the equation.
The two rational expressions will be;
(x + 2)/(x² - 36) and 1/(x² + 6x)
Now, this can be proved as follows;
Step 2 [(x + 2)/(x² - 36)] - [1/(x² + 6)]
= [(x + 2)/(x + 6)(x - 6)] - [1/(x(x + 6)]
Step 3; By subtracting, we have;
[x(x + 2) - (x - 6)]/[x(x + 6)(x - 6)]
Step 4; By further simplification of step 3, we have;
[x² + x + 6]/[x(x-6)(x + 6)]
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Which property best describes the conditional statement
below?
If AABC = ADEF, then ADEF= AABC
OA. Reflexive property
B. Transitive property
C. Symmetric property
D. Associative property
The congruence property that shows that if ΔABC ≅ ΔDEF, then ΔDEF ≅ ΔABC is; A: Reflexive Property
How to Identify properties of Congruent Segments?In geometry, the reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself.
Now, since we are told that ΔABC is congruent to ΔDEF, then it means that by the reflexive property of congruence we can equally say that ΔDEF are congruent to angles of ΔABC
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Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic?
$
per comic?
What is the constant of proportionality?
Answer: Its A and A
Step-by-step explanation: I did the question
3)If the interior angle of a regular polygon is 35" how many sida does it have?A)5. B) 8 C)6 D) 7
The number of sides the regular polygon has is: B. 8.
How to Find the Interior Angle of a Regular Polygon?A polygon with an n-side have a sum of interior angles which can be determined using the formula: (n - 2)180, where n is the number of sides of the regular polygon.
Thus, to find the measure of each interior angle of the polygon, we have: interior angle of a polygon = sum of interior angles ÷ number of sides.
Given the following information about the regular polygon:
Interior angle of the regular polygon = 135 degrees.
Plug this into the given formula for finding the interior angle of a polygon:
135 = (n - 2)180/n
Multiply n by both sides of the equation
135 × n = (n - 2)180/n × n
135n = (n - 2)180
Open the bracket
135n = 180n - 360
Subtract both sides by 180n
135n - 180n = 180n - 360 - 180n
-45n = -360
Divide both sides by -45
-45n/-45 = -360/-45
n = 8
Thus, the number of sides that the regular polygon has is: B. 8 sides.
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tengo 2/3 de lo que cuesta una computadora ¿Cuanto vale la computadora si me faltan solo 318 dolares para comprarla?
You have a machine that can add exactly 46,899 pieces of candy per scoop to a giant vat and another machine that can remove exactly 13,576 pieces of candy with a different scoop from the giant vat. You have a total supply of 600,000 pieces of candy. Your giant vat starts out empty. The first machine adds scoops of candy, and then the second machine removes scoops of candy. When these two machines are done, there is only one piece of candy left in the vat. How many scoops of candy did the first machine add to the vat?
The first machine has added maximum 25 scoops of candies.
Given Machine 1 can add 46899 pieces of candies in the giant vat and machine 2 can add 13576 pieces of candies in the giant vat to form total supply of 600000.
let the number of scoops added by first machine be x and number of scoops added by second machine is y.
The equation will be as under:
46899x-13576y=600000
It can be solved logically. Because other machine is removing the candies from the giant vat so the value of 13576y is minimum 600000-13576=586424. Because it atleast withdrawn 1 scoop.
So the value of 46899x is maximum 1186424 which can bewhen the number of scoops is =1186424/46899=25 approximately.
Hence the number of scoops added by first machine is maximum 25.
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Question contains an error as the line related to left over 1 candy should be deleted.
HELP ME PLEAS ON PLATO I WANT TO FINISH SUMMER SCHOOL PLEASE ITS A LIVING HELL
The parabolas with respect to their positions are y = f(x + 3), y = f(x + 2), y = f(x - 1/2), y = f(x - 4) and f = (x - 7)
How to arrange the parabolas?The parent function is given as:
f(x) = x^2
The parabolas are given as:
y = f(x - 4), y = f(x + 3), y = f(x - 7), y = f(x + 2) and f = (x - 1/2)
The transformation from the parent function to each of the parabola is a horizontal translation.
This means that the y coordinate of their vertices are the same.
Arrange the parabolas starting from the left translations
y = f(x + 3), y = f(x + 2), y = f(x - 1/2), y = f(x - 4) and f = (x - 7)
Hence, the parabolas with respect to their positions are y = f(x + 3), y = f(x + 2), y = f(x - 1/2), y = f(x - 4) and f = (x - 7)
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Nolan begins to find the mean absolute deviation of a data set. he finds the mean of the data and then finds the distance between each data point and the mean.what should he do next?
The next step Nolan should take is to find the average of the distances from the mean.
What is meant by mean absolute deviation?A measure of variance in a data set is the mean absolute deviation. We may determine how "spread out" the values in a data collection are by looking at the mean absolute deviation.
The steps to find mean absolute deviation are:
Calculate the mean of the data setCalculate the value of distance between the mean and each point in the data set.Find the average of the distances from the mean.Hence, The next step Nolan should take is to find the average of the distances from the mean.
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how can i do scientific notifacation please
geometry it's about relations within triangles. need help solving for variables
Answer:
`18. x=9
19. x=4
20. x=25,5
21. x=3
22. x=3,5
23. x=10
Step-by-step explanation:
An extraneous solution IS a(n)
Answer:
See below
Step-by-step explanation:
An invalid solution.
When you use the quadratic formula, for example, to solve for 't', time, you will often find one of the values of 't' to be NEGATIVE value for time.....this would be an extraneous solution.
Sometimes when working with LOG equations you may fin an answer which is negative.....you cannot have a LOG of a negative number...THAT solution would be EXTRANEOUS
ETC
SO, always check your answers to see if they 'work' for your problem.
How to create a linear regression equation
Answer:
The equation has the form Y= a + bX, where Y is the dependent variable (that's the variable that goes on the Y axis), X is the independent variable (i.e. it is plotted on the X axis), b is the slope of the line and a is the y-intercept.
Step-by-step explanation:
for more information check the above attachment
Robin was just hired at Groceries & More as a cashler. They pay her $12 an hour. She works 20 hours a week and is going to save all her money to buy a new cell phone that costs $950 The amount of deductions from her weekly paycheck is $34. How many weeks will Robin have to save for in order to buy the new computer? Enter your answer rounded to the nearest whole number.
Answer:
5 weeks
Step-by-step explanation:
We know that she works at a rate of $12 an hour, she also works 20 hours a week.
The total amount she makes per week is $240 (12 x 20). However, that is without deductions. We have to subtract $34 from the $240.
$240 - $34 = $206.
$206 is the amount she makes in a week and she wants to save $950. How many weeks does she have to save? Well, let's divide.
$950 / $206 = 4.6 weeks. However, if we have to round up to 5 weeks.
A pencil cost $1.20 and a pen cost $2.90. Jasmiah bought an equal number of such pencils and pens. She spent $32.30 more on the pens than on the pencils. How many pencils and pens did she buy altogether?
Answer:
38
Step-by-step explanation:
hope it helps good day.
Answer:
38 pencils and pens
Step-by-step explanation:
Given
Cost of pencil= $1.20
Cost of pen= $2.90
Difference in cost
= $2.90 -$1.20
= $1.70
Since she bought an equal number of pens and pencils, the additional amount of money spent on pens is due to the difference in price of a pen as compared to a pencil. Let one pen and one pencil be a set.
Number of sets
= $32.30 ÷$1.70
= 19
Since there are 19 sets,
total number of pencils and pen
= 19(2)
= 38
Drag a statement or reason to each box to complete this proof.
If −3(x+8)=−21, then x=−1.
Drag a statement or reason to each box to complete this proof.
If 3x−4=14, then x=6.
Drag a statement or reason to each box to complete the proof.
If 3(x−4)=x+4, then x=8.
The different statements and reasons to prove that −3(x + 8) = −21 are as detailed below.
How to utilize properties of Algebra?Statement 1; −3(x + 8) = −21
Reason 1; Given
Statement 2; −3(x + 8)/-3 = −21/-3
Reason 2; Division property of Equality
Statement 3; x + 8 - 8 = 7 - 8
Reason 3; Subtraction Property of Equality
Statement 4; x = -1
Reason 4; Given
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If T -1 (x, y) (½x, y - 5), then T(x, y) ( x, y + 5) (2 x, y + 5) ( x - ½, y + 5)
The coordinates of the function will be T (x , y ) = (2 x, y + 5) ; Option B is the answer.
What is a Function ?A function is a mathematical statement that relates an independent and a dependent variable .
An inverse of a function is given
T⁻¹ (x, y) : (½x, y - 5)
T(x, y) : ?
As the inverse in given , to find the function , the reverse of all the transformation has to be done .
The x coordinate has been halved , so the original function will be double.
The y coordinate has 5 subtracted to it , so it will be added to the coordinate.
So the coordinates of the function will be
T (x , y ) = (2 x, y + 5)
Therefore Option B is the answer.
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Answer:
B. y = x + 2; y = 5
Step-by-step explanation:
100% on edge 2022!
Which equations are true for x = –2 and x = 2? Select two options
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
The equations that are true for x = -2 and x = 2 are (a) x^2 - 4 = 0 and (d) 4x^2 = 16
How to determine the true equations?We have:
x = -2 and x = 2
Rewrite as:
x + 2 = 0 and x - 2 = 0
Multiply both equations
(x + 2)(x - 2) = 0
This gives
x^2 - 4 = 0 --- option (a)
Add 4 to both sides
x^2 = 4
Multiply by 4
4x^2 = 16 --- option (d)
Hence, the equations that are true for x = -2 and x = 2 are (a) x^2 - 4 = 0 and (d) 4x^2 = 16
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Which student solved the equation StartFraction w Over 13.5 EndFraction = 9.7 correctly?
The value of the w is 130.95
We have given that,
[tex]\frac{w}{13.5}=9.7[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}13.5[/tex]
What is the expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
[tex]\frac{13.5w}{13.5}=9.7\cdot \:13.5[/tex]
[tex]w=130.95[/tex]
Therefore the value of the w is 130.95.
The questions seem incomplete the complete question is
Which student solved the equation StartFraction w Over 13.5 EndFraction = 9.7 correctly? Kwan's work. StartFraction w Over 13.5 EndFraction = 9.7. 9.7 times 13.5 = 130.95. Amala's work. StartFraction w Over 13.5 EndFraction = 9.7. 13.5 minus 9.7 = 3.8. Sid's work. StartFraction w Over 13.5 EndFraction = 9.7. 13.5 + 9.7 = 23.2. Joaquin's work. StartFraction w Over 13.5 EndFraction = 9.7. 9.7 divided by 13.5 = 0.72. Mark this and return.
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Answer:A
Step-by-step explanation: i dont kno you tell me
What is the product?
6(x^2-1) 6x-1/6(x+1)
Q6: A, Árbol
Q7: D, nube
Q8: C, Viento
Q9: B,
Q10: D, Cielo
Q11: D, Hablarian
Please answer with everything needed i appreciate everyones help:0
A scenario that would best model the graph on Holly, her home, and school is:
Holly was trying to get to school from home but fell ill when 4 miles from home. Holly waited to catch her breath and gain some strength. Holly reached school and reported her condition. The school allowed her to go home.What happened Holly's journey to school?As Holly was heading to school, she felt uneasy and had to wait for 10 mins to catch her breath.
After doing so, she then continued to school which was 6 miles from her home. When she got there, she went to the nurse's office.
She waited in school for 15 minutes and was then told to go home to rest and recuperate. She then made the journey back home in a car and arrived in 10 minutes.
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Convert from Decimal Notation to Scientific Notation
In the following exercises, write each number in scientific notation.
551. 340,000
Answer:
Hence, 3,40,000 can be expressed as [tex]$$3.4\times10^5$$[/tex]
Step-by-step explanation:
Step 1 of 1
Consider 3,40,000
3.4
So, 3.4 lies between 1 & 10
Now, Decimal has moved 5 places to left.
[tex]$3.4=10^{5}$[/tex]
So, 3,40,000=[tex]3.4 \times 10^{5}$[/tex]
Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
330. (11 − b)(11 + b)
Answer:
The product is the difference of squares is [tex]$$\left(11-b\right)\left(11+b\right)=121-{{b}^2}$$[/tex]
Step-by-step explanation:
Explanation
The given expression is (11-b)(11+b).We have to multiply the given expression.Square the first term 11. Square the last term b.[tex]$$\begin{aligned}&(11-b)(11+b)=(11)^{2}-(b)^{2} \\&(11-b)(11+b)=121-b^{2}\end{aligned}$$[/tex]
Reina walked 1/2 of a mile in 1/4 of an hour. What was Reina's rate of speed in miles per hour?
find the area of the following shape
Answer:
74.8 cm^2
Step-by-step explanation:
The figure is a parallelogram with base of 11cm and height of 6.8cm . To find the area, we multiply the base by the height to get 11 × 6.8 = 74.8 cm^2
Help please! I already tried doing this but I didn't get the answer right, and I don't know where I went wrong
I think factorizing everything you can first will make the simplification ... well, simpler.
[tex]\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \dfrac{x(x-3)}{(x+4)(x+9)} \div \dfrac{x(x+7)}{(x+7)(x+9)}[/tex]
The factors of [tex]x+7[/tex] in the second rational expression cancel:
[tex]\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \dfrac{x(x-3)}{(x+4)(x+9)} \div \dfrac{x}{x+9}[/tex]
Now, use the property
[tex]\dfrac ab \div \dfrac cd = \dfrac ab \times \dfrac dc[/tex]
(this is the property of multiplication having to do with multiplicative inverse, or "inverting the divisor" as the question calls it) to write
[tex]\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \dfrac{x(x-3)}{(x+4)(x+9)} \times \dfrac{x+9}x[/tex]
and we see some more cancellation, namely of the factors of [tex]x[/tex] and [tex]x+9[/tex].
[tex]\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \boxed{\dfrac{x-3}{x+4}}[/tex]
Pls help I don’t get it
Answer:
x=-5, y=-2
Step-by-step explanation:
10x-9y=-32
2x-10y=10
(2x-10y)*5=10*5
10x-50y=50
(10x-9y)-(10x-50y)=-32-50
41y=-82
y=-82/2
y=-2
10x-9(-2)=-32
10x+18=-32
10x=-50
x=-5
The following flowchart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line is parallel to the third side:
The statement and reason that complete the flowchart proof are:
1. ∠BDE ≅ ∠BAC
2. Corresponding angles postulate.
What are the Corresponding Angles Postulate?The corresponding angles postulate states that two angles that correspond to each other are congruent angles.
In the given flowchart proof, ∠BDE and ∠BAC are corresponding angles, So, they are congruent by the corresponding angles postulate.
Therefore, the missing statement and reason are:
1. ∠BDE ≅ ∠BAC
2. Corresponding angles postulate.
The remaining part of the question is
"In ΔABC shown below, BD over BA equals BE over BC:
Triangle ABC with segment DE intersecting sides AB and BC respectively.
Top path, by Given the ratio of line segments BD to BA is equal to the ratio of line segments BE to BC. By Side Angle Side.
Which reason can be used to fill in the numbered blank space?"
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