3. straight line
8.obtuse
12.acute
Answer:
![310.35cm^3](https://tex.z-dn.net/?f=310.35cm%5E3)
Step-by-step explanation:
Volume of a Prism=Base Area X Height
The base is an equilateral triangle of side 8cm.
We can find the area of the triangle using Herons Formula.
Given a triangle with sides a,b and c
Area![\sqrt{s(s-a)(s-b)(s-c)}](https://tex.z-dn.net/?f=%5Csqrt%7Bs%28s-a%29%28s-b%29%28s-c%29%7D)
Where:
Semiperimeter, s![=\frac{a+b+c}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Ba%2Bb%2Bc%7D%7B2%7D)
The sides are of length 8cm, 8cm and 8cm.
Therefore:
s![=\frac{8+8+8}{2}=12cm](https://tex.z-dn.net/?f=%3D%5Cfrac%7B8%2B8%2B8%7D%7B2%7D%3D12cm)
Area![=\sqrt{12(12-8)(12-8)(12-8)}=27.71cm^2](https://tex.z-dn.net/?f=%3D%5Csqrt%7B12%2812-8%29%2812-8%29%2812-8%29%7D%3D27.71cm%5E2)
Since Base Area =27.71cm^2
Volume=27.71*11.2
![=310.35cm^3](https://tex.z-dn.net/?f=%3D310.35cm%5E3)
Answer:
1,2,3,
Step-by-step explanation:
Answer:
x = 0.72
Step-by-step explanation:
Given
3.8x = 2.736 ( divide both sides by 3.8 )
x = 0.72
Answer:
The total number of albums sold on the first day=34
Step-by-step explanation:
Derive expressions for the number of albums sold
each day;
Let;
the total number of albums sold on the first day=x
the total number of albums sold on the second day=y
but,
total number of albums sold on the second day is twice the total number of albums sold on the first day, therefor=, y=2×x= 2 x
The total number of albums sold for the two days can be expressed as;
Total sales=number sold on the first day+number sold on second day
where;
Total sales=102
number sold on the first day=x
number sold on second day= 2 x
replacing;
(x+2 x)=102
3 x=102
x=102/3
x=34
The total number of albums sold on the first day=34