The area of the triangle can be calculated through the equation,
A = sqrt ((s)(s - a)(s - b)(s - c))
where A is area, s is the semiperimeter ((a + b + c)/2), a, b, and c are the sides given above.
The presented equation above is the Heron's formula.
Substituting the known values,
s = (8.7 + 10.1 + 9.8) / 2
s = 14.3
A = sqrt ((14.3)(14.3 - 8.7)(14.3 - 10.1)(14.3 - 9.8))
<em>A = 38.9 units squared
</em>Thus, the answer to this item is not among the choices. <em>
</em>
Answer:
<h3>
It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two root</h3>
Step-by-step explanation:
Given the quadratic polynomial x²+x−12, the highest power in the quadratic polynomial gives its degree. The degree of this quadratic polynomial is therefore 2. <u>This means that the equation has exactly two solutions. </u>
Let us determine the nature of the roots by factorizing the quadratic polynomial and finding the roots.
x²+x−12 = 0
x²+4x-3x−12 = 0
= (x²+4x)-(3x−12) = 0
= x(x+4)-3(x+4) = 0
= (x-3)(x+4) = 0
x-3 = 0 and x+4 = 0
x = 3 and -4
This shows that the quadratic polynomial has <u>two real roots</u>
<u>It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two roots</u>
If both triangles ABE = CBD then <C = <A
Hope it helps.
Answer: center (1;0), radius = 2
Step-by-step explanation:
x² – 2x + 5+ y² = 8
x² – 2x + 5+ y² = x² – 2x + 1 + 4 + y² = (х-1)² +4 + y²
(х-1)² +4 + y² = 8
(х-1)² + y² = 8 - 4 = 4
(х-1)² + y² = 2²
center (1;0), radius = 2
Answer:
11. 736080 cars // 12. 5397920 cars
Step-by-step explanation:
given total number of cars produced : 6,134,000
100% -->6,134,000
1%--> 6,134,000 /100
1% --> 61340
given big cars of America is 12%
so to find this 12% = 12 * 61340 = 736080 cars produced by America
by other manufactures = total cars - big cars of America
= 6,134,000 - 7,36,080
= 5397920 cars
