Hypotenuse ^2 = base^2 + perpendicular ^2
H^2 = 6^2 + 8^2
H^2 = 36 + 64
H^2 = 100
H = 10
(This is a right angle triangle as 60+30= 90
180-90= 90)
SA=2H(L+W)+LW for open box
20=2H(4+W)+4(W)
distribute
20=8H+2WH+4W
divide both sides by 2
10=4H+WH+2W
solve for 1 variable, pick W
10-4H=WH+2W
10-4H=W(H+2)
(10-4H)/(H+2)=W
V=LWH
subsitute 4 for V, subsitute H for H and (10-4H)/(H+2) for W
V=(4)(H)(10-4H)/(H+2)
V=(40H-16H²)/(H+2)
find max value
take deritivitive of this thing
V'=-16(H²+4H-5)/((H+2)²)
using sign chart
sign changes from positive to negative at H=1
so at H=1
find W
W=(10-4H)/(H+2)
W=2
the dimeionts are
length=4ft
width=2ft
height=1ft
(the volume is 8 cubic feet)
Answer:
16
Step-by-step explanation:
Given
C=2r and r=8
So
C=2×8 (as r=8)
C=16 (ans)
4+7=11 i.e. The whole.
7/11=28
1/11=4
Goats are 4/11 therefore
4 x 4= Ans
All the animals add up to 44 and if you check w/ 7/11 it is correct.
The word can be represented as a set and in the roaster form the set of letters is {s, a, l, t}
<h3>What is set?</h3>
A set is a collection of clearly - defined unique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.
We have given letter:
"salt"
Here, no letter is repeated.
So we can write it as roaster form:
Let's denote the set as S
S = {s, a, l, t}
Number of element in the set = 4
We can make new set from it if the set has only vowels
S(v) = {a}
If set has only consonants:
S(c) = {a, l, t}
Thus, the word can be represented as a set and in the roaster form the set of letters is {s, a, l, t}
Learn more about the set here:
brainly.com/question/8053622
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