Answer:
<h2>B.</h2>
Step-by-step explanation:
If the given right triangles are similar, that meanst they have a ration in common, that is, one of them can be double size the other one. In other words, they are related by a scale ratio.
Notice, that one hypothenuse is double the other one, that is, 10 is double than 5. Also, 8 is double than 4. This means the scale factor is 2, one triangle has double size than the other.
Therefore, the proportion that relates these triangles is
or
Therefore, the right answer is B.
Note x^2 =y and rewrite this quartile equation in y and will get a quadratic what you need to solve it
f(x) = x^4 +21x^2 -100 note x^2 =y
f(y) = y^2 +21y -100
y^2 +21y -100 = 0
D = 21^2 -4(-100) = 441 +400 = 841
y_1,2 = (-21 +/- sqrt841 )/2 = (-21 +/- 29)/2 = -50/2 = - 25 and 8/2 = 4
so y_1 = - 25 and y_2 = 4
x_1,2 = sqrt(y_1) = sqrt(-25) = +/- 5i
x_3,4 = sqrt4 = +/- 2
hope this will help you
Answer:
The volume of the composite figure is 140 in³