Answer:
The answer is 6
Step-by-step explanation:
A=½(b1 + b2) h
we substitute
Area=75
the two bases are 10 and 15
75=½(10+15) h
75=½(25)h
75=(1*25/2)h
75= 25h/2
75/1= 25h/2
25h*1= 75*2
25h= 150
we divide by 25
25h/25= 150/25
h=6
Answer: No, we don't have a right triangle
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Explanation:
If a triangle with sides a,b,c makes the equation a^2+b^2 = c^2 true, where c is the longest side, then this triangle is a right triangle. This is the converse of the pythagorean theorem.
Here we have a = 2, b = 5 and c = 7.
So...
a^2+b^2 = c^2
2^2+5^2 = 7^2
4+25 = 49
29 = 49
The last equation is false, so the first equation is false for those a,b,c values. Therefore, we do <u>not</u> have a right triangle.
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In contrast, consider the classic 3-4-5 right triangle
a = 3, b = 4 and c = 5 would make a^2+b^2 = c^2 true because 3^2+4^2 = 5^2 is a true equation (both sides lead to 25).
The total number of 3 digit even numbers is 450
Step-by-step explanation:
Step 1 :
We need to determine the number of 3 digit numbers which is even and the leftmost digit is not zero .
The 3 digits with left most digit not equal to zero starts from 100 and goes up to 998
If we consider only the even 3 digit numbers in this interval, this would form an arithmetic progression with the first number a = 100 and the common difference d = 2.
Step 2:
The last number l in this series is 998 .
So we have
a = 100
l = 998
d = 2
The nth term in the arithmetic progression is given by a + (n-1) d
so substituting the above values we get
100 + (n-1) 2 = 998
2n = 900 => n = 450
Step 3 :
Answer :
The total number of 3 digit even numbers is 450
Answer:
1/10 gallon
Step-by-step explanation:
2/5 left of 1/4 gallon
2/5 x 1/4 = 2/20 = 1/10 gallon
The number of adult tickets and children tickets sold were 92 and 220 respectively
What differentiate adult tickets from children's
The adult tickets can be represented by a while children's ticket is c
The total number of tickets sold which is 312 means the sum of a and c
a+c=312
Total value of adult tickets=a*12
total value of children tickets=c*5
12a+5c=2204
Solve for a in the first equation
a=312-c
substitute for a in the second equation
12a+5c=2204
12(312-c)+5c=2204
3744-12c+5c=2203
3744-2203=12c-5c
1541=7c
c=1541/7
c=220
a=312-220
a=92
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