If by "long leg lengths" you mean the hypotenuse then the area is 116 sq. units. If you mean the bases of the triangles then the area is 170 sq. units.
If the length of 12 is the hypotenuse, we first must find the base of the triangles using the Pythagorean theorem:
10² + b² = 12²
100 + b² = 144
b² = 44
b = √44 = 6.6
This means we have two triangles and a rectangle. The area of the rectangle is 5(10) = 50 sq. units. The area of each triangle is 1/2(6.6)(10) = 33. Adding all 3 together we have:
50+33+33 = 116 sq. units.
If the 12 is the base, then we have the rectangle with the area of 5(10) = 50 and two triangles each with an area of 1/2(12)(10) = 60:
50+60+60 = 170 sq. units.
B. and C. A simplified radical form demonstrates no square roots, 3rd roots, 4th roots, etc. and has no radicals in the denominator of a fraction.
Answer:
x = the first mystery number = 2
y = the second mystery number = 0.8
Step-by-step explanation:
Let
x = the first mystery number
y = the second mystery number
8*x + 10*y = 24
8x + 10y = 24
7*x + 10*y = 26
7x + 10y = 26
8x + 10y = 24 (1)
7x + 10y = 26 (2)
Subtract (1) from (2) to eliminate y
8x - 7x = 26 - 24
x = 2
Substitute x = 2 into (1)
8x + 10y = 24 (1)
8(2) + 10y = 24
16 + 10y = 24
10y = 24 - 16
10y = 8
y = 8/10
y = 0.8
x = the first mystery number = 2
y = the second mystery number = 0.8
Answer:
the 3rd one x+2=5
Step-by-step explanation:
Why?
because you are going from small # to a bigger # so you know you are adding
there is 2 there and it says that it = 5
Answer:
a(n)=3+(n-1)2
Step-by-step explanation:
a(n)=3+(n-1)2
arithmetic sequence
