Answers
Answer: Choice D) 7.5 inches, 18 inches, 19.5 inches
====================================================
Explanation:
The Pythagorean theorem converse can be used to determine if we have a right triangle or not.
The converse says that if a^2 + b^2 = c^2 is a true equation, then we have a right triangle.
The value of c is always the longest side. The order of 'a' and b doesn't matter (usually b is larger than or equal to 'a'). So we could have [tex]a \le b < c[/tex] or [tex]b \le a < c[/tex], but convention usually leans toward the first inequality mentioned.
----------------------------------
In choice A, we have the following steps
a^2 + b^2 = c^2
(7.5)^2 + (18)^2 = (21.5)^2
380.25 = 462.25
Since the third equation is false, this means the first equation is false for those a,b,c values. Choice A is not a right triangle. We can cross it off the list.
----------------------------------
In choice B, we have a = 7.5, b = 19.5 and c = 21.5
So,
a^2 + b^2 = c^2
(7.5)^2 + (19.5)^2 = (21.5)^2
436.5 = 462.25
which is also false. Cross choice B off the list.
-----------------------------------
With choice C we have: a = 18, b = 19.5, c = 21.5
a^2 + b^2 = c^2
(18)^2 + (19.5)^2 = (21.5)^2
704.25 = 462.25
Cross choice C off the list since the third equation is false.
-------------------------------------
In choice D, we have the sides a = 7.5, b = 18, c = 19.5
a^2 + b^2 = c^2
(7.5)^2 + (18)^2 = (19.5)^2
380.25 = 380.25
We get the same number on both sides, so the third equation is true. Consequently, this leads to the first equation being true for those a,b,c values. Choice D is a right triangle, and it's the final answer.
D. 7.5, 18, 19.5
hope this helps
xoxo
Related Questions
There are 25 students in Mrs. Murphy's math class. Of these students, 10 have brown hair, 8 have black hair, 5 have blonde hair, and 2 have red hair. What percentage of students in Mrs. Murphy's class have blonde hair?
Answers
The percentage of students in Mrs. Murphy's class who have blonde hair will be 20%.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
There are 25 students in Mrs. Murphy's math class. Of these students, 10 have brown hair, 8 have black hair, 5 have blonde hair, and 2 have red hair.
Then the percentage of students in Mrs. Murphy's class who have blonde hair will be
Total students = 25
Then we have
[tex]\rm P = \dfrac{5}{25} \times 100\\\\P = 0.20 \times 100\\\\P = 20 \%[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401
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Determine the constant of proportionality in each of the representations below.
Answers
Answer:
Pretty sure is 15
Step-by-step explanation:
90 divided by 6 is 15.
Answer:
The constant of proportionality, k is 15
Step-by-step explanation:
The constant of proportionality is the ratio between two directly proportional quantities.
Proportional quantities can be described by the equation y = kx, where k is a constant ratio.
Here, "x" is the number of tickets and "y" is the number of dollars.
k = 30/2 = 15/1 or 15
k = 15
k = 60/ 4 = 30/2 = 15/1 or 15
k = 15
k = 90/6 = 30/2 = 15/1 0r 15
k = 15
When we take the ratio of x and y for all the given values, we get an equal value for all the ratios.
Therefore, the constant of proportionality, k is 15
help me :) pls thx :)))))))))))))))))))))))
Answers
Answer:
-8m + 24 - 32n
Step-by-step explanation:
(-8)(m) + (-8)(-3) + (-8)(4n) = -8m + 24 - 32n
If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5%
Answers
Complete Question
If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5% for 3 years
Answer:
$ 12,934.61
Step-by-step explanation:
The formula for Compound Interest Compounded continuously is given as:
A = Pe^rt
A = Amount after t years
r = Interest rate = 2.5%
t = Time after t years = 3
P = Principal = Initial amount invested = $12,000
First, convert R percent to r a decimal
r = R/100
r = 2.5%/100
r = 0.025 per year,
Then, solve our equation for A
A = Pe^rt
A = 12,000 × e^(0.025 × 3)
A = $ 12,934.61
The total amount from compound interest on an original principal of $12,000.00 at a rate of 2.5% per year compounded continuously over 3 years is $ 12,934.61.
Writer the ratio in 3 ways 4 books for every 25 shelves
Answers
Answer:
400:2500 , 40:250 ,and 4:25
One way to rename 5 3/10 is 4 8/10. True or False
Answers
Answer:
4 13/10
Step-by-step explanation:
im pretty sure this is right bc essentialy a group of one is because bc you took 1 away from 5 but it has to be 10 bc the denominator is 10 and then you addd the 10 to 3
Answer:
The statement above is false
Step-by-step explanation:
5 3/10= 5*10+3=53/10
now to simplify 53/10=1 43/10=2 33/10=3 23/10=4 13/10=5 3/10
So it's false.
Maya left her house and drove to the store. She stopped and went inside. From there,
she drove in the same direction until she got to the bank. She stopped and went
inside the bank. Then she drove home. The graph below shows the number of blocks
away from home Maya is 3 minutes after she left her house, until she got back home. How far away from her house was maya after 6 minutes?
Answers
It take her 20 minutes, but I don't know how the graph looks like yet, so I can only tell you that xx=20
-Millie
Maya is 6 blocks away from her home after 6 minutes of driving.
What is reflection of a geometrical image? What is a mathematical function, equation and expression? graph : A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a graph in the question as shown in the image attached.
It can be seen that after 6 minutes of the home, Maya is 6 blocks away from the graph. The [y] coordinate corresponding to 6 minutes is 6 blocks away from the house.
Therefore, Maya is 6 blocks away from her home after 6 minutes of driving.
To solve more questions on graphical distances, visit the link below -
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Which of the following expression is equivalent to
Answers
Answer:
C
Step-by-step explanation:
No, the answer is C because when you raise a number to a negative exponent it is equivalent to one over the number to the same exponent, but positive. So, [tex]6^{-7} = \frac{1}{6^{7}}[/tex] and not [tex]\frac{1}{6^{-7}}[/tex].
which translation moves the point back to its original position?
Answers
What is the answer (6 - 4) x 3
Answers
Answer:
its 6
Step-by-step explanation:
6-4=2
2*3=6
hope it helps
Hey there!
In order to answer this question, you have to do PEMDAS
• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction
“(6 – 4) • 3”
• FIRST: we have to work with inside the PARENTHESES
(6 – 4) = 2
• We can SKIP exponents because we DON’T have any EXPONENTS
• SECOND: we have to MULTIPLY
2 • 3 = 6
• We can SKIP the others (Division, Addition, and Subtraction) because we don’t need them
• Answer: 6 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
what percentage of a dollar is a half cent
Answers
Answer:50
Step-by-step explanation:
Answer: 0.005
Step-by-step explanation:
Half a dollar is 0.50.
1 cent of a dollar is 0.01.
half of 0.01 is 0.005
I need help pls so I can get a good grade
Answers
Answer:
Step-by-step explanation:
C is the answer.
A cabinet holds 16 plates and
12 bowls. What is the ratio of plates
to bowls written in simplest form?
Answers
Answer:
4:3
Step-by-step explanation:
Why did the lady not get arrested after she shot, drowned, and hanged her family?
Answers
Answer:
how is this a math question? ;-;
Andrew can type 1.5 pages in 10 minutes. At this rate, how many pages can Andrew type in 1 hour? pls help me hurry have do be done today
Answers
Answer:
Andrew will be able to type 9 pages in 1 hour
Step-by-step explanation:
1.5 x 6 = 9
Hope this helped !
Answer:
9 pages
Step-by-step explanation:
because if he typed 1.5 in 10 min, then 1.5 times 6 equals 9Please helppp 21 points pleaseeeeeeee. If you don’t know the answer don’t answer please.
Answers
Answer:
f(x)=50x+20
0<x x<2
Step-by-step explanation:
hope it helps!
all parts please, i need this by the end of today and pls write answer in comments
Answers
Answer:
A
[tex] = \frac{78}{360} \\ = \frac{13}{60} [/tex]
B
[tex]let \: total \: number \: be \: x \\ \frac{13}{60} x = 1164 \\ x = \frac{1164 \times 60}{13} \\ x = 5372 \: movies[/tex]
C
A year has (4 × 12) weeks
= 48 weeks.
In 1 week = 9,568,000 movies
48 weeks = (48 × 9,568,000) movies
Average movies = 459.264 movies
D
Since 9.568 million movies are rented.
How about in one year ( 48 weeks )
Convert 1 year to weeks and compare with 1 week
Can someone please please answer this and explain it? my math teacher didn’t :( will give brainliest points for explanation!!! (Ignore work above that was for a different question)
Answers
Answer:
QR = 1
Step-by-step explanation:
PR = PQ + QR
PR = x + 19
PQ = 9
So now put what you know in the equation above.
PR = 9 + 2x + 19
PR also equals x + 19
so
x + 19 = 9 + 2x + 19
x + 19 = 2x + 28
19 - 28 + x = 2x
-9 + x = 2x
-9 = 2x - x
-9 = x
===================
QR = 2x + 19
QR = 2*-9 + 19
QR = -18 + 19
QR = 1
This really is kind of a nasty question. You don't expect to get a minus number of x.
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┃╰━╯┣╮
┃╭━╮┣┫
┃┃╱┃┃┃
╰╯╱╰┻╯
Answers
Answer:
OwwssStep-by-step explanation:
How are you feeling in your home
5. Sand is dumped off a conveyor belt into a pile at the rate of 2 cubic feet per minute. The sand pile is shaped like a cone whose height and base diameter are always equal. At what rate is the height of the pile growing when the pile is 5 feet high? (The volume of a cone is fr2h where r is the radius of the base and h is the height:)
Answers
Answer:
[tex]\displaystyle \frac{dh}{dt} = \frac{8}{25 \pi} \ ft/min[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityGeometry
Volume of a Cone: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]
r is radiush is heightDiameter: d = 2r
Calculus
Derivatives
Derivative Notation
Differentiating with respect to time
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{dV}{dt} = 2 \ ft^3/min\\b = h\\h = 5 \ ft[/tex]
Step 2: Rewrite Volume Formula
We need to rewrite the cone volume formula in terms of height h only.
Base b = diameter d of the circular base
Define: b = dSubstitute: b = 2rWe are given that the base of the cone is the same as the height.
Define: b = 2rSubstitute: h = 2rNow solve for height.
Divide 2 on both sides: h/2 = rRewrite expression: r = h/2Now find new volume formula.
Define [VC]: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]Substitute: [tex]\displaystyle V = \frac{1}{3} \pi (\frac{h}{2})^2h[/tex]Exponents: [tex]\displaystyle V = \frac{1}{3} \pi (\frac{h^2}{4})h[/tex]Multiply: [tex]\displaystyle V = \frac{1}{12} \pi h^3[/tex]We now have the same volume formula in terms of height h only.
Step 3: Differentiate
Basic Power Rule: [tex]\displaystyle \frac{dV}{dt} = \frac{1}{12} \pi \cdot 3 \cdot h^{3-1} \frac{dh}{dt}[/tex]Simplify: [tex]\displaystyle \frac{dV}{dt} = \frac{1}{4} \pi h^{2} \frac{dh}{dt}[/tex]Step 4: Solve for height rate
Substitute: [tex]\displaystyle 2 \ ft^3/min = \frac{1}{4} \pi (5 \ ft)^{2} \frac{dh}{dt}[/tex]Isolate h rate: [tex]\displaystyle \frac{2 \ ft^3/min}{\frac{1}{4} \pi (5 \ ft)^{2}} = \frac{dh}{dt}[/tex]Exponents: [tex]\displaystyle \frac{2 \ ft^3/min}{\frac{1}{4} \pi (25 \ ft^2)} = \frac{dh}{dt}[/tex]Multiply: [tex]\displaystyle \frac{2 \ ft^3/min}{\frac{25}{4} \pi \ ft^2} = \frac{dh}{dt}[/tex]Divide: [tex]\displaystyle \frac{8}{25 \pi} \ ft/min = \frac{dh}{dt}[/tex]Rewrite: [tex]\displaystyle \frac{dh}{dt} = \frac{8}{25 \pi} \ ft/min[/tex]Here this tells us that the rate at which the height is moving at a rate of 0.101859 feet per minute.
You are hiring a limousine. One company charges a $60 reservation fee plus another $15 per hour. A second company charges a $25 reservation fee plus another $20 per hour. Write and solve a linear equation to find the number of hours at which the total cost is the same for both companies.
Answers
Answer:
7 hours
Step-by-step explanation:
Step one:
given data
let the total charges be y and the number of hours be x
Company A charges
$60 reservation fee plus another $15 per hour.
so
y=60+15x----------1
Company B charges
$25 reservation fee plus another $20 per hour
y=25+20x------------2
Step two:
equate the 2 expressions above we have
60+15x=25+20x
collect like terms
60-25=20x-15x
35=5x
divide both sides by 5
x= 35/5
x= 7 hours
a:b is 13:4
c:b is 7:3
what is a:c
Answers
how to calculate directly propotonal
Answers
Answer: Direct Proportion
In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation. Example: y is directly proportional to x, when x = 15, y = 30.
Travis scored 18 point in the first basketball game of the season. he scored 3 fewer points in the second game than in the first game. find the total number of points Travis scored in the first and second games.
Answers
Answer:
isn't it 33?
Step-by-step explanation:
because at first they said he scored 18 and the second time he scored 3 fewer points than the first one so its 18+(18-3)=33
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
O FU=-v+
Of(x) = - 3x + 4
o f(x) = -x +
Of = -3y + 4
Answers
Answer:
9x + 3y = 12
3y = -9x + 12
y = -3x + 4
f(x) = -3x + 4
Step-by-step explanation:
I hope it's help
we’re doing a review and i forgot like everything anyway please help :)
Answers
Well since it's better to teach you than answer, I'll give you an explanation using #1.
Answer:
6.88
Step-by-step explanation:
In the parentheses, 1.6 has one decimal place, and so does 4.3. (count number of digits after decimal point.) So a total of 2 decimal places. (1) + (1) = (2)
Next, ignore the decimal points for now and multiply 16 × 43 = 688.
Add in the 2 decimal places, 6.88, there is your answer!
ii) Find the value of if the pair of parallel lines are cutting by a transversal and give reason for your answer
Please help me :(
Answers
Answer:
50
Step-by-step explanation:
When two parallel lines are cut by a transversal, we see that same side exterior angles sum to 180 degrees.
It's like the blue angle and the green angle add together to sum 180. So you can construct an equation knowing this to find what x is:
[tex]2x+30+x=180\\3x+30=180\\3x=180-30\\3x=150\\x=\frac{150}{3}\\x=50[/tex]
(The reason for the answer is the first line I wrote)
Please help ASAP
Please I’ll mark you as brainlister
Answers
Answer: 15.
Step-by-step explanation:
You divide the degrees by the side length. You get 15. So 15 is the answer.
Rauol measured the height of 12 different plants in his garden in April. He measured them again in June. What is the difference between the mean height in April and the mean height in June?
Answers
The question is incomplete. Here is the complete question.
Raoul measured the ehight of 12 different plants in his garden in April. He measured them again in June.
April Heights (in inches) 12 15 23 11 42 45 44 39 12 19 20 12
June Heights (in inches) 45 45 40 43 11 14 12 13 41 40 45 41
What is the difference between the mean height in April and the mean height in June?
Answer: The difference between means is 8.0
Step-by-step explanation: Mean is the average of a set of numbers.
It is calculated as:
[tex]\mu=\frac{\Sigma x}{n}[/tex]
where
x is the numbers in the set
n is how many numbers are there in the set
For heights in April, the mean is:
[tex]\mu_{1}=\frac{12+15+23+11+42+45+44+39+12+19+20+12}{12}[/tex]
μ₁ = 24.5
For heights in June, the mean os:
[tex]\mu_{2}=\frac{45+45+40+43+11+14+12+13+41+40+45+41}{12}[/tex]
μ₂ = 32.5
The difference between means:
μ₂ - μ₁ = 32.5 - 24.5 = 8.0
The difference between the mean height in April and in June is 8.0 inches.
Choose the equation of the line. y = 2x – 7 y = 2x + 11 y = –4x + 14 y = 3x +14
Answers
Answer:
y = 2x+11
Step-by-step explanation:
Answer:B
Step-by-step explanation: