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
9514 1404 393
Answer:
- domain: all real numbers, (-∞, ∞)
- range: all non-negative numbers, [0, ∞)
Step-by-step explanation:
There are no values of x for which this expression is undefined. The domain is all real numbers.
The minimum value of this expression is 0. There is no maximum value. The range is all numbers greater than or equal to zero.
9514 1404 393
Answer:
340
Step-by-step explanation:
The ratio of natural to synthetic is give as ...
5 : 8
Then the ratio of natural to total would be ...
5 : (5+8) = 5 : 13
The amount of natural oil in 884 total liters of oil will be ...
(5/13)(884 L) = 340 L
884 liters of Petrolyn oil will contain 340 liters of natural oil.
Decimal: 1.4 (35 divided by 25 is 1.4)
Percentage: 140% ( move decimal point two spaces to the right)
Answer:
The conclusion that you can raw about the coming weather is : you could assume the weather will be stormy and unsettled, since all kind of fronts uusally bring some form of precipitation.
Step-by-step explanation:
