Answer:
Reduce the expression, if possible, by cancelling the common factors.[(2/3)^2]^3 X (2/3)^2 ÷ (2/3)^8 = 1
Step-by-step explanation:
4/9^3 x (2/3)^2 ÷ (2/3)^8
4/9^3 x 4/9 ÷ (2/3)^8
4/9^3 x 4/9 divided by 256/6561
64/729 x 4/9 divided by 256/6561
= 1
Answer:
1. 6pi or 18.84cm
2. 20pi or 62.8cm
3. 13pi or 40.82cm
4. 9.5pi or 29.83cm
5. You calculate the circumference of a circle with the expression 2pi(r). r stands for the radius. You can also use pi(d), or pi x diameter.
7. You would use 2pi(r) to find the circumference of a circle when given the value of the circle's radius.
8. You would use pi(d) to find the circumference of a circle when given the value of the circle's diameter.
Answer:
width = 6
length = 4
Step-by-step explanation:
perimeter = 2L + 2W
L = W - 2
plug in perimeter:
20 = 2L + 2W
you know the length is 2 less than the width
plug in (w - 2) for L:
20 = 2(w - 2) + 2w
solve for w:
20 = 2w - 4 + 2w
20 = 4w - 4
4w = 24
w = 6
now plug in 6 for w in either equation, whichever is easier to solve:
L = 6 - 2
L = 4
width = 6
length = 4
On analyzing the question we can say that the angle ∠JKM of the triangle ΔJKL would be 42 as line MK bisects ∠JKL into ∠JKM & ∠MKL.
From the question it follows that line MK bisects angle ∠JKL into ∠JKM & ∠MKL where M is the point in the interior of ∠JKL.
Therefore, as we have given m∠JKL = 84 & m∠MKL = 42
and we have to find m∠JKM , we will simply write the equation as follow
m∠JKL = m∠JKM + m∠MKL
Inserting values we get,
84 = m∠JKM + 42
m∠JKM = 42
Hence, angle m∠JKM of the triangle ΔJKL is 42.
Learn more about questions related to triangles and their angles here
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5 hours because 7/5 *5/1=35/5 and 35 divided by 5 equals 7
