Answer:
d≈3.5
Step-by-step explanation:
d= C/π =11/π≈3.50141
Brainliest plz
Answer:
11. Volume = 2181.2mm^3
12. Surface Area = 1204.49mm^2
Step-by-step explanation:
We first need to find the hypotenuse side of the triangle using the Pythagorean theorem:
a^2+b^2 = c^2
13.3^2+20.5^2 = c^2
176.89+420.25 = c^2
597.14 = c^2
24.44 = c
Now we can find the volume using the formula:
V = 1/4(16)sqrt-13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2
-20.5^4+2(20.5*24.44)^2-24.44^4
V = 2181.2mm^3
To find the surface area using the surface area formula:
A = (13.3*16)+(20.5*16)+(24.44*16)+1/2sqrt
13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2
-20.5^4+2(20.5*24.44)^2-24.44^4
A = 1204.49mm^2
The inclusion/exclusion principle states that
That is, the union has as many members as the sum of the number of members of the individual sets, minus the number of elements contained in both sets (to avoid double-counting).
Therefore,
will have the most elements when the sets
and
are disjoint, i.e.
, which would mean the most we can can in this case would be
(Note that
denotes the cardinality of the set
.)
The two triangles will be similar (same shape, and each side of one triangle the same multiple of the corresponding side of the other triangle), but not necessarily the same size.
The key word here is "similar;" be sure you understand what that means in trig.
The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75
Step-by-step explanation:
Let,
Cost of one shirt = x
Cost of pair of jeans = y
According to given statement;
4x+3y=124.25 Eqn 1
3x+5y=161.25 Eqn 2
Multiplying Eqn 1 by 3
Multiplying Eqn 2 by 4
Subtracting Eqn 3 from Eqn 4
Dividing both sides by 11
Putting 24.75 in Eqn 1
Dividing both sides by 4
The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75
Keywords: linear equation, elimination method
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