Answer:
Yes, it is a right angle triangle
Step-by-step explanation:
Let leg lengths be y and z
Y = 2mm
Z = 2.1mm
Let x represent hypothenus
X = 2.9mm
To find out if it's a right angle triangle, we'll use pythagorean theorem since it's true for all right angle triangles I.e the square of the hypothenus is equal to the square of both sides(opposite and adjacent)
x² = y² + z²
x² = 2² + 2.1²
x² = 4 + 4.41
x² = 8.41
Take the square root of both sides
x = √(8.41)
x = 2.9mm
Therefore since the square of two other sides equal the square of the hypothenus, the side of the clip is a right angle triangle
Answer:
Step-by-step explanation:
Let "a" and "m" represent the cost of an apple and a mango, respectively. Then Cameron's purchase can be represented as ...
4a +7m = 17.75
Gavin's purchase can be represented as ...
2a +5m = 10.75
Subtracting the first equation from twice the second gives ...
2(2a +5m) -(4a +7m) = 2(10.75) -(17.75)
3m = 3.75
m = 1.25
Then the price of an apple can be found from the second equation:
2a +5(1.25) = 10.75
2a = 4.50 . . . . . . . . . . subtract 6.25
a = 2.25 . . . . . . . . . . . divide by 2
The price of an apple was $2.25; the price of a mango was $1.25.
How many attempts are you allowed?
try A'(2,5), B'(4,5), C'(4,4) and D'(2,2)
(c): A'(4,3), B'(6, 3), C'(6,2) and D'(4,0)
this is the best I can do.
2,920 because if you multiply 365*8 you get 9,290
Because the difference between any term and the previous term is a constant, this is an arithmetic sequence because of that constant which is referred to as the common difference, d. Which in this case is -35--38=-32--35=3
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.
In this case a=-38 and d=3 so
a(n)=-38+3(n-1) which we can simplify to
a(n)=-38+3n-3
a(n)=3n-41, so the 52nd term is:
a(52)=3(52)-41
a(52)=156-41
a(52)=115