All triangles are similar.
.. x/3 = 27/x
.. x^2 = 81
.. x = 9
.. y = √(x^2 -3^2) = √72
.. y = 6√2
Let us assume the following units of measure:
Length = 10 inches
Width = 5 inches
Height = 8 inches
Surface area = 2lw + 2wh + 2lh
S.A = 2(10in * 5in) + 2(5in * 8in) + 2(10in * 8in)
S.A = 2(50in²) + 2(40in² + 2(80in²)
S.A = 100in² + 80in² + 160in²
S.A = 340 in²
Volume = lwh
V = 10 in * 5 in * 8 in
V = 400 in³
ratio of the surface area to volume?
340 in² / 400 in³ = 34 / 40 in = 17/20 in
Answer:
8.4 (rounded to 1 dp)
Step-by-step explanation:
1) Identify the number of angles and sides given if you cannot use Pythagoras or SohCahToa.
2) You have 2 angles and 1 side, so you know you must use sine rule: <em>a </em>over sinA =<em> b </em>over sinB
<em>a</em> = side length, sin(A) = angle opposite side
<em>b</em> = side length, sin(B) = angle opposite side
3) This means:
13/sin(90) = x/sin(40)
4) rearrange for x:
x = 13/sin(90) * sin(40)
= 8.356...
5) Round to however many sig figs/dps they're asking for
Example: 1 dp
AB = 8.4
3 sig figs
AB = 8.36
Answer:
First relation: It's a function. No order pair need to be changed.
Second relation: It's a function. No order pair need to be changed.
Third relation: It's not a function. The ordered pair (5,8) needs to be changed.
Step-by-step explanation:
A function may not have two y-values assigned to the same x-value.
Each x-element of the first relation has only one y-element associated with it. So we conclude that it's a function.
Each x-element of the second relation has only one y-element associated with it. So we conclude that it's a function.
The points (5,8) and (5,2) shows that there are two y-elements (y=8 and y=2) associated with the value x=5. So we conclude that it's not a function.
