Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong and show Jocelyn the correct solution.
Answers
Complete Question:
Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong, and show Jocelyn the correct solution.
We need to check if 27² + 45² = 36² is a true statement. The left side of the equation is equal to 2,754. The right side of the equation is equal to 1,296. That means 272 + 452 = 362 is not true, and the triangle shown is not a right triangle
Answer/Step-by-step explanation:
Jocelyn used a wrong equation and statement.
Here's what she should have stated and done.
Using the converse of Pythagorean Theorem, which says that a triangle with sides a, b, and c is a right triangle if it satisfy the statement: a² + b² = c².
Where, c is the hypotenuse which is the longest leg. While a and b are the side lengths of the other two legs.
Therefore, in this case,
c = 45
b = 27
a = 36
Thus, what we need to check to be true would be:
36² + 27² = 45² (this is where Jocelyn made a mistake. Jocelyn wrote 27² + 45² = 36² rather)
Let's check if it's true.
2,025 = 2,025 (this is true)
Therefore, the triangle is a right triangle.
Related Questions
Help me Please I will give brainliest! (please dont answer if you dont know)
Answers
Answer:
16.5 feet or
about 17 feet long.
Step-by-step explanation:
A = bh
Squares have equal side lengths all around so with there being 4 sides, you will take 66 and divide by 4.
66 ÷ 4 = 16.5
So it is about 17 feet
A gardening store ordered 657,230 potted plants last year. This year, the store ordered 10% fewer potted plants. How many potted plants were ordered this year?
Answers
Potted plants ordered last year = 6,57,230 (Indian Place Value System)
Pecentage of plants deducted = 10%
10% of 6,57,230 = 10/100 × 6,57,230
or, it can also be written as -
10/10 × 65,723
or,
65,723
Therefore, potted plants odered this year is 65,723
By the way, I'm an Indian : )
i need help, if you do help please dont put picture thank you!
Answers
Answer:
181
Step-by-step explanation:
Area of a semicircle: 1/2 (pi • r^2)
1/2(3.14 • 100)
1/2 ( 314 )
157
Triangle:
(6 • 8) ÷ 2
48 ÷ 2
24
Add the area of the triangle & semicircle together: 157 + 24 = 181
Hope this helps! Have a great day!
i need help plssss also quick if you can-
A scale drawing of a rectangular sign has a scale factor of 1:5. Which statements are true?
The ratio of the area of the scale drawing to the area of the sign is 1:10.
The ratio of the area of the scale drawing to the area of the sign is 1:25.
The ratio of the perimeter of the scale drawing to the perimeter of the sign is 1:5.
The ratio of the perimeter of the scale drawing to the perimeter of the sign is 1:10.
____________________________________________________________________
i'll also give brainliest-
Answers
Answer:
1:5 so C!!!!!!
:)(:
Answer:
C, The ratio of the perimeter of the scale drawing to the perimeter of the sign is 1:5.
Step-by-step explanation:
A scale drawing of a rectangular sign has a scale factor of 1:5. Which statements are true?
We know that having the sign of 1:5, is 1:5 because you can think that a the perimeter is 1:5.
The smallest number works the best too.
Which graph has a slope of 4/5?
Answers
Answer: The second one
Step-by-step explanation:
your friends show you a coin collection .in it 45/50 of the coins are quarters.what percent of the coins are quarter
Answers
Answer:
90%
Step-by-step explanation:
45 : 50
45 / 50 = 0.9
0.9 x 100 = 90
Answer: 20%
Step-by-step explanation: i learned this in mexico class
plz help me with this and plz show ur work!?! :)
Answers
Answer:
Total height lowered = 75m
No of times balloon lowered = 5
Height lowered in each lowering = Total height lowered / No of times balloon lowered
= 75 / 5
= 15 m
The number indicated that each time balloon is lowered by 15 m
please help me with these last ones i need
Answers
Answer:
20 8 12 10
Step-by-step explanation:
Answer:
for 5. the answer is 15.
for 6. the answer is 8
Step-by-step explanation
hope this helped u again!!!!!!!!!!!!!!!!!!!!!!
can someone help me with algebra? i'm lost on everything. i'm a junior in high school.
Answers
Answer:
i can.
Step-by-step explanation:
2 PART QUESTION
Consider the number 0.101001000100001…
1)
Which choice correctly describes the given number?
A) terminating
B) repeating
C) rational
D) irrational
2)
Which statement correctly classifies π as rational or irrational?
A) Rational because it equals 22/7
B) Rational because it equals 3.14.
C) Irrational because it has its own symbol.
D) Irrational because it doesn't equal a terminating or repeating decimal.
Answers
Answer:
1) irrational
2) is A.
Step-by-step explanation:
you're welcome
The required solution is as follows,
(1) the given number is an irrational number. Option D is correct.
(2) π is an irrational number. Option D is correct.
Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.
Here,
(1)
Given number,
0.101001000100001…
Since the given number has repeating decimals so, it is an irrational number.
(2)
π
Since π also an irrational number, because it value, is nonterminating and repeating.
Thus, the required solution is as follows,
(1) the given number is an irrational number. Option D is correct.
(2) π is an irrational number. Option D is correct.
Learn more about Rational numbers here: https://brainly.com/question/17450097
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Here are the first five terms of an arithmetic sequence
5 8 11 14 17
Find an expression for the nth term of this sequence:
A: 3n+2
B: 5n+3
C: add 3 each times
D: 3n
Answers
the difference between each term is 3 meaning it’s 3n. if you then take away 3 from the first term you are left with 2. this means the nth term is 3n+2
Find measure of angle PQS
Answers
Answer:
ANGLE PQS = 45°Step-by-step explanation:
angle SRT = 180 - 70 = 110
thus angle QSR = 180 - 20 - 110 = 50
BY Angle sum property
angle PQS = 180 - 85 - 50 = 180 - 135 = 45
Answer:
<PTR+<RTS=180 LINEAR PAIR
<PTR=180-20=160°
Step-by-step explanation:
IN QUADRILATERAL PQRT
<P+<Q+<R+<T=360 SUM OF INTERIOR ANGLE OF QUADRILATERAL IS 360
85+<Q+70+160=360
<Q=360-315=45°
angle PQS=45°
How Do I solve this? Answer too please.
Answers
Easy question!!! Solve for x.
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
yes
Simplify the expression to a+bi form:
(-6-10i)(2-3i)
Answers
Answer:
-42-2i
Step-by-step explanation:
Use the grouping method to factor this polynomial.
3+2x2 +7 x + 14
Answers
Answer:
7 ( x + 3 )
Step-by-step explanation:
Use order of operations to multiply first.
3+2x2 +7 x + 14
3+4 +7 x + 14
Now group like terms.
3+ 7x + 4 + 14
Add like terms
7x + 21
Find the two multiples of 21.
7x + 7 x 3
Now factor out the 7.
7( x + 3 )
cuanto es la tercera parte de 15,000
Answers
Answer:
5,000.
¡Espero que ayude!
Step-by-step explanation:
3(6x+8)=24+18x what the answer
Answers
Answer:
0=0 or as known as infinite solution
Step-by-step explanation:
when answering a type of question there are 3 steps
1) Distribute: 3(6x+8)=24+18x
3 x 6x= 18x 3 x 8= 24
18x +24 = 24 + 18x
2) Subtract 24 from both sides of the equation:
18x + 24 = 24 + 18x
-24 -24
18x + 0 = 0 + 18x
3) Subtract 18x from both sides to set apart (x) : 18x = 18x
-18x -18x = 0 = 0
Please help need the answer now!!
Answers
Answer:
B
Step-by-step explanation:
A function can not have the same x-values but can have the same y-values. Because option B uses 0 as its x-value more than once, option B does not represent a function.
If this answer has helped you, please mark it as brainliest
which two graphs pass through the point (3, 7)
Answers
Answer:
kissssssssssssssssssseeeeesssssssses
Hope this helps!!!
In many cities, when someone doesn't pay off an entire fine, the city will add a monthly fee until they do. Watch the video from Last week tonight with john Oliver. Then, imagine Ali gets a $150 ticket for speeding. This time, though, the city adds a $35 fee every month until the ticket is fully paid. Use the table and graph to show what the fine will be, and how much Ali will have saved, after each month. How long will it take to pay off the ticket, and how much will it end up costing in total?
Information : Ali makes $50 in savings a month. Also i need the months of the fee and ali to go up to 12 months. thank youuu
Answers
In many cities, when someone doesn't pay off an entire fine, the city will add a monthly fee until they do. Watch the video from Last week tonight with john Oliver. Then, imagine Ali gets a $150 ticket for speeding. This time, though, the city adds a $35 fee every month until the ticket is fully paid. Use the table and graph to show what the fine will be, and how much Ali will have saved, after each month. How long will it take to pay off the ticket, and how much will it end up costing in total?
Examination practice
Exam-style questions
1 The quadratic equation x2 - 5x – 3 = 0 has solutions a and b. Find the value of:
i a - b
ii a + b
Leave your answers in exact form.
Answers
Answer:
Please refer to the attachment
Hope it helps
Please mark me as the brainliest
Thank you
Will give brainiest to correct answer
20a + 32
Answers
Answer:
wouldn't it just be the same? It would still be 20a+32
Answer:
4(5a+8)
Step-by-step explanation:
Factor 20a+32
20a+32
=4(5a+8)
what is the volume??
Answers
25 times 3 is 75
Answer: 75
Help Please 5 Stars and brainliest
The results of a study exhibit response bias. Select the statement that best describes the bias in the study. *
OThere were not enough subjects who chose to respond to a survey that was sent as part of the study.
O The interviewer for the study was the boss of the subjects.
O The interviewer for the study did not record the responses of the subjects accurately.
O There was a significant amount of people who declined to participate in the study.
Answers
Answer:
the last one
Answer:
the answer is c
Step-by-step explanation:
Find the side length of an equilateral with a height of 30 yards? Pls explain and I will mark brainliest!
Answers
Answer:
B. 20√3Step-by-step explanation:
The height of the equilateral triangle with the side x is:
h² = x² - (x/2)²h² = 3/4x²h = x*√3 / 2We have h = 30, then find the value of x:
30 = x*√3 / 2x = 60/√3x = 60√3/3x = 20√3Correct choice is B
Answer: B
Step-by-step explanation: Because mhanifa said so and he is always right
The sum of the digits of a two-digit
number is 12. If the digits are interchanged,
the number is increased by 36. Find the
number
Answers
Answer:
48
Step-by-step explanation:
x+y=12
y=12-x
10y+x =10x+y +36
9y-9x=36
108-9x-9x=36
-18x=-72
x=4
y=8
On a coordinate plane, the orange K is shifted to form the purple K, reflected across the x-axis to form the green k, and rotated to form the black k. Which image is a reflection of the orange letter K in Quadrant I?
Answers
Answer:
the green kin quadrant IV
Step-by-step explanation:
i took the quiz and got it right
Point k is reflected across the y-axis to create point k'.
What is reflection?A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a set of fixed points known as the hyperplane, also known as the axis or plane of reflection.
The mirror image of a figure in the axis or plane of reflection is the image produced by a reflection.
From the graph, we can see that point k has a negative x-coordinate, so option A is wrong. Also, point K is located in quadrant II, not in quadrant IV
Point K is not reflected across the x-axis to create K'. For reflection across the x-axis to occur, the point (x,y) across the x-axis will change to (x, -y).
Point K is reflected across the y-axis to create point K'. We can see from the graph that the reflection of the point (x,y) across the y-axis is the point (-x, y)
To know more about reflection follow
https://brainly.com/question/22101313
#SPJ2
it cost $5 per game to bowl plus $8 to rent shoes. if you have $30 to spend, how many hours can you spend bowling?
Answers
Answer:
21
Step-by-step explanation:
Answer:
4 hours
Step-by-step explanation:
30-8=22
5*4=20
20 dollars is the closest you can get without going over
the distance from Portland to Seaside is 75 miles what is the distance in inches on the map which scale of 1.25 in:25 mi
I also need help with this other one
the distance between Portland to Seaside is 75 miles what is the distance in inches on the map with a scale of 1.25 in:25mi
Answers
Answer:
1.25in/25mi = x/75mi
25x = 93.75
x = 3.75
3.75 inches