Answer:
The height of the triangle is 7cm and the base is 16cm
Step-by-step explanation:
First of all we have to know the formula to calculate area of a triangle
a = area = 56
b = base
h = heigth
a = (b * h)/2
we replace the known values and we make 2 equations
56cm² = (b * h)/2
b = h + 9cm
we replace b by (h + 9cm) in the first equation
56cm² = (h + 9cm * h)/2
56cm² * 2 = h² + 9h
0 = h² + 9h - 112cm²
we use bhaskara formula:
(-b (±) √
(b² - 4ac) ) / 2a
we replace with the known values
h = (-9 (±) √
(9² - 4*1*(-112) ) ) / 2*1
h = (-9 (±) √
(81 + 448) ) ) / 2
h = (-9 (±) √529) /2
h = (-9 (±) 23)/2
h1 = (-9 + 23) / 2
h1 = 14 / 2
h1 = 7
h2 = (-9 - 23) / 2
h2 = -32 / 2
h2 = -16
The height of the triangle is 7cm and the base is 16cm
Answer:
Step-by-step explanation:
This is how we do it in college, I hope I can be of some help.
First, you multiple 9.6 miles with 5 minutes. Then, you divide your answer with 0.4 miles. Next, you cancel the two mile units because of division and then be left with 120 minutes.
9.6 miles x <u> 5 minutes </u> = <u> 48 miles x minute </u> = 120 minutes
0.4 miles 0.4 miles
One would be 2pi - 5pi/18 = 31pi/18
another positive one is 31pi/18 + 36pi/18 = 67pi/18
and the negative angle is -5pi/18 - 36pi/18 = -41pi/18
The answer is b
