Answer:
3 cm
Step-by-step explanation:
The given relation between length and width can be used in the perimeter formula to find the width.
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Let w represent the width of the rectangle in centimeters. The length is 4 cm more, so can be represented by (w+4). Using these values and the given perimeter in the perimeter formula, we find ...
P = 2(L +W) . . . . . perimeter formula
20 = 2((w +4) +w) . . . . known values substituted
10 = 2w +4 . . . . . . . . divide by 2, collect terms
6 = 2w . . . . . . . . . subtract 4
3 = w . . . . . . . . divide by 2
The width of the rectangle is 3 cm.
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<em>Additional comment</em>
The length is 7 cm.
Answer:
No.
Step-by-step explanation:
-12 is not les than -13.
Since they are both negative, the closer to 0 they are, the larger number they are
Answer:
45 and 135degrees
Step-by-step explanation:
Cos(8x+21)=sin(-2x+51) Find the two angles represented in degrees ??? Someone help its 1am I can't do this
In trigonometry, cosx = sin(90-x)
Hence:
Cos(8x+21) = sin(90-(8x+21))
Cos(8x+21) = sin(90-8x-21)
Cos(8x+21) = sin(-8x+69)
Substituting into the expression given, :
sin(-8x+69) = sin(-2x+51)
-8x+69 = -2x+51
-8x+2x = 51-69.
-6x = -18.
X = 18/6
X = 3
Since the angles 8x+21
Angle = 8(3)+21
Angle = 45
The angles represented in degrees are 45 and (180-45) = 135degrees
There you Go! I hope this helped
Answer:
The answer is k=77
Step-by-step explanation:
It is given that n is an integer and greater than 2. Let us simplify k = (n + 2)(n – 2) to k=n^2-4.
In (1) it is stated that k is the product of two primes and in (2) it is stated that k<100. To solve the question we need to consider both cases (1) and (2).
Let say n=9 then k=n^2-4 becomes k=81-4=77. Well, 77 is the product of two prime numbers 7 and 11 (77=7*11). The answer is k=77
