It'll be an acute angle, because a right angle would've been 90° but it's 89°. An obtuse angle would've been over 90°.
Answer:
x=-3,x=9
Step-by-step explanation:
x^2-6x-20-7=0
x^2-6x-27=0
x^2-(9-3)x-27=0
x^2-9x+3x-27=0
x(x-9)+3(x-9)=0
(x+3)(x-9)=0
x=-3,x=9
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.
slope (M) = (y2-y1)/(x2-x1)
x1 =3, y1= -5, x2 = 5, y2=5
= (-5-5) / (3-5) = -10/-2 = 5
M=5
Answer:
38,270
Step-by-step explanation:
1. find the % of investors over age 40: 100-55.5% = 44.5%
2. multipliy the total number of investors by the % over age 40:
86,000 X 44.5% = 38,270
