Answer:
yes
Step-by-step explanation:
By pythagoras' theorem,
97^2 = 9409
65^2 + 72^2 = 9409
since 65^2 + 72^2 = 97^2, the triangle is a right angled triangle
This is a question on Pythagoras theorem. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
The given sides form a right angled triangle , beacuse (hypotenuse)^2 = (base)^2 + (height)^2
What is Pythagoras theorem ?The Pythagoras theorem states that if a triangle is a right-angled triangle, then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC2 = AB2 + AC2. Here, AB is the base, AC is the altitude (height), and BC is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.
According to the Pythagoras theorem ,
In a right angle triangle square of the hypotenuse is equals to the sum of the square of the other two sides.
⇒ (hypotenuse)^2 = (base)^2 + (height)^2
∴ (65)^2 + (72)^2 = (97)^2
⇒ 4225 + 5184 = 9409
⇒ (97)^2 = 9409
∴ 9409 = 9409
Hence, the given sides form a right angled triangle.
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Write this ratio as a fraction in simplest form
140 centimeters to 300 centimeters
Answer choices:
A. 14/30
B. 4/7
C. 1/3
D. 7/15
Answer:
D
140/300 simplifies to 14/30 and that can be simplified even more to 7/15
For her cell phone plan, Heather pay $30 a month plush 0.05 per text. She wants to keep her bill under $60 per month. What inequality represents the number of texts, t, Heather can send each month while staying within her budget?
8) Shawna had $20 to spend on six pencils. After buying them she had
$2. How much did each pencil cost?
It cost 2 dollers each.
If a letter is chosen at random for the word “SUCCESS”, what is the probability that the letter will be C?
Answer:
2 out. of 7
Explanation:
First of all There are 2 C in the word and so it's going to be 2 out of the total number of words in the given word
2 / 7
So that is the probability
A Broadway musical came to town. The auditorium filled all 1,000 seats at two-level pricing. Level 1 tickets are $75 each, and level 2 tickets are $100 each. The theater made $25,000 from ticket sales. The system of equations that models this scenario is:
x + y = 1,000
75x + 100y = 25,000
What do the x and y represent in the system?
x represents the number of level 1 tickets; y represents the number of level 2 tickets
x represents the number of level 2 tickets; y represents the number of level 1 tickets
x represents the cost of level 1 tickets; y represents the cost of level 2 tickets
x represents the cost of level 2 tickets; y represents the cost of level 1 tickets
Answer:
x represents the number of level 1 tickets; y represents the number of level 2 tickets
Step-by-step explanation:
The first equation (x + y = 1,000 ) shows that x + y equal to the number of seats in the auditorium. That means that they represent the number of tickets. In the second equation (75x + 100y = 25,000) x and y are being multiplied by the cost of their level ticket. So x represents the number of level 1 tickets; y represents the number of level 2 tickets.
hope this helps!
Write the equation of the line that passes through the
point (6,4) and is parallel to 2x + 3y = 18.
The equation of the line that passes through the point (6,4) and is parallel to 2x + 3y = 18 is: y = -2/3x + 8
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that line passes throuthe gh the point (6,4) and is parallel to 2x + 3y = 18.
Parallel lines have the same slope
To Find slope of 2x + 3y = 18
Then Start by putting it in y = mx+b form;
Y = -2/3x + 18
Slope = -2/3x
Y = -2/3x + b
Now Plug in the points into equation
4 = -2/3(6) + b
4 = -4 + b
b = 8
Hence, the Equation: y = -2/3x + 8
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Antoine is on vacation with his family. They have a vacation budget of $1,400. Antoine predicts they will spend $110 each night on the hotel, $80 a day on food, and $100 a day on activities. They will also spend $120 on gasoline for the entire trip. Write an inequality to find how many nights, n, they afford to stay on vacation. What is the longest vacation they can take?
Answer:
290n + 120 ≤ 1400
4 days
Step-by-step explanation:
Given that:
Vacation budget = $1400
Cost on hotel = $110 per night
Cost on food = $80 per day
Cost on activities = $100 per day
Cost on gas = $120 for entire trip
Number of nights they can afford to stay
Let the Number of nights they can afford = n
((110 + 80 + 100) * number of nights) + 120 ≤ vacation budget
290n + 120 ≤ 1400
290n ≤ 1400 - 120
290n ≤ 1280
n ≤ 1280 / 290
n ≤ 4.4137
Hence, longest vacation they can take is 4 days
96.90+2.04-24.30 Round your answer to the nearest second decimal
Answer:
74.64
Step-by-step explanation:
hope this helps :)
Answer:
74.60
Step-by-step explanation:
Hope this helps!
What is the range of the function graphed below?
Question 2
Which set of numbers represents the DOMAIN in the following graph?
{-2, -1,1,2,3)
{-3, -2, -1,0, 1, 2.3}
{0,1,2,3}
{-3, -2, -1,0, 2,5)
Please I am retaking a test and need the answer now I will offer points
Answer:
B.
Step-by-step explanation:
The domain is the lowest number to the highest number on the x-axis which has a point on the graph.
Mr. Scott likes to pose interesting problems to his Mathematics classes. Today,
he started with the expression 6^2020 + 7^2020. He stated that the expression was
not equivalent to 13^2020 and that he was not interested in the actual sum. His
question to his class and to you is, “What are the final two digits of the sum?
Answer:
The last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 7, 7
Step-by-step explanation:
The given question is to find the value of the sum of two numbers 6²⁰²⁰ + 7²⁰²⁰, where, 6²⁰²⁰ + 7²⁰²⁰ ≠ 13²⁰²⁰
We have;
The last two digits of the powers of 6 are;
6¹ = 6, last two digits = 06
6² = 36, last two digits = 36
6³ = 216, last two digits = 16
6⁴ = 1,296, last two digits = 96
6⁵ = 7,776, last two digits = 76
6⁶ = 46,456, last two digits = 56
6⁷ = 279,936, last two digits = 36
6⁸ = 1,679,616, last two digits = 16
6⁹ = 10,077,696, last two digits = 96
6¹⁰ = 60,466,176, last two digits = 76
6¹¹ = 362,767,056, last two digits = 56
Therefore, the last two digits repeat itself every 5 times
For 6²⁰²⁰, the last two digits will be for the 2020/5 = 404 complete times, which will be 76
The last two digits of the powers of 7 are;
7¹ = 7, last two digits = 07
7² = 49, last two digits = 49
7³ = 343, last two digits = 43
7⁴ = 2,401, last two digits = 01
7⁵ = 16,807, last two digits = 07
7⁶ = 117,649, last two digits = 49
7⁷ = 823,543, last two digits = 43
7⁸ = 5,764,801, last two digits = 01
Therefore, the last two digits repeat itself every 4 times
For 7²⁰²⁰, the last two digits will be for the 2020/4 = 505 complete times, which will be 01
Therefore, the last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 76 + 01 = 77, which is 7, 7
3. Solve for the letter y.
8y – 3) = 13
Answer:
y = 2
Step-by-step explanation:
(8y – 3) = 13
8y = 13 + 3
8y = 16
y = 2
Answer:
y = 2
Step-by-step explanation:
8y = 13 + 3
8y = 16
y = 2
good luck
HELP IMMA- FLIP IM DESPERATE
Answer:
The line that matches the equation y=2x+4 is line e.
Brainlyest
write an expression for each of these expressions
A.divide 37 by a
B.subtract b from 55
C.add 18 to c
D.multiply 49 by d
E.divide e by 62
How many solutions exist for the system of equations in the graph?
one
two
three
four
Answer:
2 solutions
Step-by-step explanation:
The solutions are found at the points where the 2 graphs intersect.
From the graph there are 2 points of intersection, thus 2 solutions.
Hamid bought 4.5 pounds of strawberries. The total cost of the strawberries was $8.10. How much did each pound of strawberries cost?
$0.08
$0.18
$0.80
$1.80
Answer:
D) $1.80
Step-by-step explanation:
$1.80 per pound. It cost $1.80 per pound.
Identify the missing sides.
45°
20
:: 10
:: 20
1/2
:: 202
10/3
:: 20/3
Answer:
see explanation
Step-by-step explanation:
Use the sine ratio in the right triangle to find the hypotenuse h, and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{20}{h}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
h = 20[tex]\sqrt{2}[/tex]
-----------------------------------------------------------------------------
Use the tangent ratio to find the horizontal leg x and tan45° = 1 , then
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{20}{x}[/tex] = 1 ( multiply both sides by x )
x = 20
At a basketball game 64% were supporting the visiting team. If total number of people attending h the e game was 2000, how many people were supporters of the home team
Answer:
720
Step-by-step explanation:
0.64 x 2000 = 1280
2000 - 1280 = 720
No. of people supporting the home team out of 2000 people is 720.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, At a basketball game, 64% were supporting the visiting team.
The percentage of people supporting the home team is
(100 - 64)% = 36%.
Now, Total number of people who came to watch is 2000.
∴ No. people supporting the home team is,
= (36/100)×2000.
= 36×20.
= 720 people.
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2x4^7=
What is 2x4^7
Example: 2x5^7=2x=78,125
Find the distance between E(5,3) and F(-4,3).
Answer:
Ok I also fo not know but shall shall come to silicon valley of US So you can remember all thinks about this and tricks
Which is better, Radiologist technologist or Financial manager? I can't decide ah!
Answer:
technologist
Step-by-step explanation:
technologist is best
Answer:
Financial managers are typically more open and charismatic individuals, which can lead a team and make correct decisions. If your leadership and decisive skills are good, great! Financial manager is better for you.
Meanwhile, radiologist technologist (or just radiologists) are doctors who oversee x-ray operations, MRIs or PET scans. They are typically very specialized into this kind of field. If you're more into this kind of job, then go for it!
Step-by-step explanation:
Thanks, and please give Brainliest!
Kayla has a older sister and a younger sister. her older sister is one year more than twice Kayla's age. Kayla's younger sister is three years younger than she is. the sum of their ages is 26. find Kayla's age
Answer:
x= kaylas age
older sister: 2x+1
younger sister: x-3
x+2x+1+x-3=26
4x-2=26
4x=28
x=7 years old
Step-by-step explanation:
A. -2
B. -1/2
C. 1/2
D. 2
What is equation of a line that passes through the pointstwo over five, 19/20 and 1 over three, 11/12 in slope intercept form
1. Write each phrase as a mathematical expression.
Mathematical
Expression
Phrase
1
nine increased by a number
fourteen decreased by a number
seven less than a number
the product of nine and a number
thirty-two divided by a number
five more than twice a number
the product of a number and six
seven divided by twice a number
three times a number decreased by eleven
withdrawing $10 every week from an outstanding
balance of $400
Answer and explanation:
x here represents the unknown number or value
9+x here nine is increased by x the unknown number
14-x fourteen is decreased by x the unknown number or value
x-7 the unknown number is decreased by seven
9*x nine is multiplied by an unknown number
32/x thirty two is divided by an unknown number
2x+5 double an unknown number increased by 5
x*6 unknown number multiplied by 6
7/2x seven divided by double an unknown number
3x-11 thrice an unknown number reduced by 11
400-10x weekly withdrawals of 10 from 400
I need help on this question please?!
Answer:
A
Step-by-step explanation:
If you plug in 0 for w, the number of weeks, you'll see that s = 80. Meaning, at week 0 he ha 80
Why is the product of negative reciprocals always -1?
Answer:
please check the explanation.
Step-by-step explanation:
Let suppose we have a number = n
n≠0The negative reciprocal of 'n' = -1/n
Taking the product of 'n' and its negative reciprocal '-1/n':
[tex]n\left(-\frac{1}{n}\right)[/tex]
remove parentheses: (-a) = -a
[tex]=-n\frac{1}{n}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]
[tex]=-\frac{1\times \:n}{n}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:n[/tex]
[tex]=-1[/tex]
Canceling the common factor (the number itself) will bring -1.
It proves that the multiplication of any number and its negative reciprocal will always yield -1.
need help like now
after scoring a touchdown the billies linked up for the kickoff . the kicker kicked the football 60 yards deep into the end zone. the hang time on the ball was 8.5 seconds . what was the average speed of the ball
Answer:
7 seconds i think let me know if its wrong
Step-by-step explanation:
Help me please I will give you the brainliest please ;( :[
Answer:
I'm not great with domain and range but for the 4th question the answer is b. and for the 5th part 1 the answer is a. and for part 2 the answer is d. i believe