Answer:
Step-by-step explanation:
Let h be the number of hats Elliott makes and s be the number of scarves she makes.
Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats. This is expressed as
h = 2s
The total number of hats and scarves that she wants to make is 20. This is expressed as
h + s = 20
Therefore, the system of equations that represents this situation are
h = 2s
h + s = 20
Answer:
The height is 4.472
Step-by-step explanation:
That formula is Heron's formula.
Where "s" is calculated like this:
s = (a + b + c) / 2
In this case:
a = 14
b = 12
c = 6
replacing:
s = (14 + 12 + 6) / 2
s = 16
Now we calculate the area:
A ^ 2 = 16 * (16−14) * (16−12) * (16−6)
A ^ 2 = 1280
A = 35.777
The area of the triangle is:
A = b * h / 2
In this case we will take the base as the longest side of the triangle, that is to say = 14
Thus:
h = A * 2 / b
h = 35.777 * 2/16
h = 4.472
So the height is 4.472
Answer:
See below
Step-by-step explanation:
Use the formulae directly
For a cone, with base radius = r and height = h, here are the related formula
(1)
(2)
(3)
Therefore directly plugging in the numbers in the above equations:
Note:
l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm
Figure(a)
r = 4, h = 8
Figure(b)
r = 7, h =15
Figure (c)
r = 5, l = 8
Multiple by any number over itself (ie. 3/3) so like 18/30, 12/20, etc.
Answer:
The answers is K = 24 and J + 12