Answer:
Step-by-step explanation:
Let AC = x
AB - AC = 4 cm
AB = 4 +x ----------------(I)
Pythagorean theorem
AB² + AC² =BC²
(4 + x)² + x² = 9²
Use the identity (a + b)² = a² + 2ab + b² where a = 4 & b = x
4² +2*4*x +x² + x²= 81
16 + 8x + 2x² = 81
2x² + 8x + 16 - 81 = 0
2x² + 8x - 65= 0
a = 2 ; b = 8 ; c = -65
D = b² - 4ac
= 8² - 4*2*(-65)
= 64 + 520
D = 584
√D = √584 = 24.16
{Ignore this as it is negative.}
x = 16.16/4
x = 4.04
AC = 4.04 Cm
AB = 4 + 4.04 = 8.04 cm
Area of triangle ABC = 
= 16.24 sq.cm
Answer:
D
Step-by-step explanation:
^^^
I believe to find the range you just subtract the smallest from the largest:6.3-3.2=3.2
Given the following group of numbers, 8, 2, 9,4, 2, 7, 8, 0, 4, 1, which of the following
Lena [83]
Answer:
III. The mode is 2
Step-by-step explanation:
Mean: (8+2+9+4+2+7+8+0+4+1)/10 = 45/10 = 4.5
Median: (2+7)/2 = 9/2 = 4.5
Mode: There is no mode since 2 and 8 both appear twice (in other words, since they have the same frequency, it's bimodal)
The closest possible choice is III. The mode is 2, but keep in mind that since the data set is bimodal, there is no single mode.
