<h3>
Answer:</h3>
1.25 < y < 8.32124...
<h3>
Step-by-step explanation:</h3>
The least y can be is the value that makes the angle in the smaller triangle be zero. (This condition will exist when the difference of side lengths is 4.)
... 4y -5 = 0
... y = 5/4 . . . . . add 5, divide by 4.
_____
The greatest y can be is the value obtained when the triangle is isosceles. For the larger triangle, that makes the side lengths (s) be ...
... 3/s = sin(43°/2)
... s = 3/sin(21.5°)
Then for the smaller triangle, that makes the angle be ...
... 4y -5 = arcsin(2/s) = arcsin(2/3·sin(21.5°))
... y = 1.25 + arcsin(2/3·sin(21.5°))/4
... y ≈ 8.32124
Answer:
I believe it's 6^2.
Step-by-step explanation: 6^2 is the same as 6 times 6. Here's a tip, if you see a 2 as an exponent, you can also say x squared. X to the power of 2 is the same as x squared.
F(x) = 4x^2 + 12
g(x) = x - 1
(f o g)(x) = f(g(x)) = 4(x - 1)^2 + 12 = 4(x^2 - 2x + 1) + 12 = 4x^2 - 8x + 4 + 12 = 4x^2 - 8x + 16
(f o g)(3) = 4(3)^2 - 8(3) + 16 = 4(9) - 24 + 16 = 36 - 8 = 28
Answer:
I think it moves it up on the y axis
Answer: 120, 60, 180
Step-by-step explanation:
1) Area of a rectangle's formula is:
l × w
So, looking at the diagram, we get:
6 × 20 = 120 cm²
2) Area of a trapezoid's formula is:
× h (where both a and b are the different base lengths)
So, looking at the diagram, we get:
× 4 = 60 cm²
3) Add both to find the area of the entire figure.
120 + 60 = 180 cm²
