Answer:
c = 2
Step-by-step explanation:
2c – 4 = 3(4 – 2c)
Expand brackets:
⇒ 2c – 4 = 12 - 6c
Add 6c to both sides:
⇒ 8c – 4 = 12
Add 4 to both sides:
⇒ 8c = 16
Divide both sides by 8:
⇒ c = 2
3+264-2=265 inches
Hope this helps!!!!
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Answer:
width of the rectangle=x=4in and length of the rectangle=11in
Step-by-step explanation:
Let the width of the rectangle be x, then according to the question, length is one less than three times its width that is l=3x-1.
Now, width=b=x and length=l=3x-1, thus
Perimeter of the rectangle= 2(l+b)
⇒
⇒
⇒
⇒
⇒
Thus, width of the rectangle=x=4in and length of the rectangle=l=3x-1=3(4)-1=12-1=11in.
Answer:
64√2 or 64 StartRoot 2 EndRoot
Step-by-step explanation:
A 45-45-90 traingle is a special traingle. Let's say one of the leg of the triangle is x. The other one is also x because of the isosocles triangle theorem. Therefore, using the pytagorean theorem, you find that x^2+x^2=c^2. 2(x)^2=c^2. You then square root both sides and get c= x√2.
Therefore, the two legs are x and the hypotenuse is x√2. x√2=128 because the question says that the hypotenuse is 128. Solve for x by dividing both sides by √2. X=128/√2. You rationalize it by multiplying the numberator and denominator of the fraction by √2. √2*√2= 2.
X=(128√2)/2= 64√2 cm.
Since X is the leg, the answer would be 64√2
