Answer: finding slope (-4, 1), (1,-2) : m= -3/5
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:
b=9
Step-by-step explanation:
18/24=3/4
3/4=b/12
cross product
4*b=3*12
4b=36
b=36/4
b=9
Answer:
yes
Step-by-step explanation:
118+107+63=287
360 is the total interior angle of a circle
so 360-287 = 73
Answer:
See Below
Step-by-step explanation:
To get volume of cuboid, we multiply the 3 dimensions.
<u>Volume of Box</u> = 28 * 15 * 20 = 8400
<u>Volume of 1 disc case</u> = 1.5 * 14.2 * 19 = 404.7
<u>Volume of 17 disc cases</u> = 17 * 404.7 = 6879.9
Since, volume of 17 disc cases is less than volume of the cuboid box, definitely 17 disc cases will fit the box.
