Triangle PQR is right angle at Q. |PQ| = 3a cm and |QR| =4a cm. Determine |PR| in terms of a
Answers
A^2 + B^2=C^2 Pythagorean’s Theorem
(3a)^2 + (4a)^2 = C^2
9a^2 + 16a^2 = C^2
a^2(9+16) = C^2
a^2(25) = C^2
sqrt ((a^2(25)) = sqrt (C^2)
5a=C=|PR|
shortcut would have been to recognize a 3-4-5 triangle
Related Questions
Coach Shaw is buying baseball equipment for his team. he gets a reduced rate if he buys 8 baseballs for every 3 batting helmets. The reduced rate is $2.25 per baseball and $22.50 per helmet. The sales tax on each item is 6%. Coach Shaw has $400 in his budget to buy baseballs and helmets. What is the greatest number of baseballs and helmets he can buy at the reduced rate if the ratio of baseballs to helmets is 8:3?
Which values of PPP and QQQ result in an equation with exactly one solution?-5x+12=Px+Q−5x+12=Px+QChoose all answers that apply:(Choice A)AP=5P=5P, equals, 5 and Q=12Q=12Q, equals, 12(Choice B)BP=-5P=−5P, equals, minus, 5 and Q=-12Q=−12Q, equals, minus, 12(Choice C)CP=5P=5P, equals, 5 and Q=-5Q=−5Q, equals, minus, 5(Choice D)DP=-12P=−12P, equals, minus, 12 and Q=-12Q=−12
How to solve pemdas?
Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the award?
Answers
I believe she would have 45 gems total
3 diamonds
5 pearls per diamond = 15 pearls
2 opals and 3 rubies per diamond= 6 opals and 9 rubies
2 emeralds per opal= 12 emeralds
3+15+6+9+12= 45 gems total
Answers
2 hrs and 15 minutes later
=
4:45
2:30
+ 30
=
3:30
+ 25
= 3:55
4:45 - 3:55
= 50 minutes
He finished his project at 4:45.
He spent 50 minutes building the model.
:D:D:D:D
Answers
Answer:
35(5 – x) ≥ 27
Step-by-step explanation:
i just know its right, my teacher helped me.
Answers
Answer:
The answer is "5, 12, and 13".
Step-by-step explanation:
Please find the complete question in the attached file.
The right triangle is a triangle with only an angle of 90 degrees, as well as the go in the angle of 90 degrees, which is considered a hypotenuse.
The hypotenuse calculation square is equivalent to both the squared measures of the other two sides:
And even those squares do verify the equation:
So, it's a rectangular (right) triangle, with sides spanning
Answer:
B
Step-by-step explanation:
Answers
The average heart beat in a lifetime is 2,365,200,00 beats.
Given that,
An average human heart beats 60times per minute.
If an averageperson lives to the age of 75.
We have to determine,
How many times does the averageheart beat in a lifetime.
According to the question,
An average human heart beats 60 times per minute.
And there is 60 beats in a minute and 60 minutes in an hour,
Then,
Heart beat per hour = 60 beats × 60 minutes = 3,600 beats per hour.
Then,
The amount of beats in an hour by the number of hours in a day.
Heart beats per day = 3600 × 24 hours = 86,400 beats per day
Then,
The number of days in a year is 365 in a year, but use the flat rate of 365 since that is generally the accepted answer.
Heart beat per year = 86,400 × 365 days = 31,536,000 beats per year
Therefore,
An average person lives to the age of 75,
Heart beat in a lifetime to age of 75 years,
= 31,536,000 × 75 years = 2,365,200,00 beats in a lifetime.
Hence, The average heart beat in a lifetime is 2,365,200,00 beats.
To know more about Average value click the link given below.
Answer:
The average number of beats in a lifetime would be 2,365,200,000
Step-by-step explanation:
To find the amount we need to take basic steps. The first step is multiplying the number of beats to find out how many are in an hour. Since there are 60 in a minute and 60 minutes in an hour, multiply the two.
60 beats * 60 minutes = 3,600 beats per hour.
Now multiply the amount of beats in an hour by the number of hours in a day.
3,600 * 24 hours = 86,400 beats per day
Now multiply the number of days in a year. Technically there is 365 1/4 in a year, but we'll use the flat rate of 365 since that is generally the accepted answer.
86,400 * 365 days = 31,536,000 beats per year
And now we take that number and multiply by the number of years that he lines
31,536,000 * 75 years = 2,365,200,00 beats in a lifetime
Answers
The algebraic expression is a difference between two terms will be 5y - 7. Thus, the correct option is A.
What is Algebra?
Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
An algebraic expression that is created by removing two terms is known as a difference between two terms. Only one of the suggested expressions corresponds to this description:
⇒ 5y - 7
The difference between the terms 5y and 7, which are being subtracted from one another, is represented by this equation.
Thus, the correct option is A.
More about the Algebra link is given below.
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