The correct answer is: 27 .
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Explanation:
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9^(3/2) = (√9)³ = 3³ = 3 * 3 * 3 = 27 .
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To find decimals out of fractions, you divide 13 and 20, which equals 0.65.
Answer:
Expected number of matches that occur = 4 matches
Step-by-step explanation:
First of all, let X_i be the event that when we turn over card i if it matches the required cards face.
Thus, for example X_1 is the event that turning over one card results in an ace while X_2 is the event that turning over second card reveals a deuce.
The number of matched cards "N" is given by the sum of this indicator random variable as shown in the attached file;
The length of the rectangle is 51 inches while the width of the rectangle is 28 inches.
Since Kristin wants to wrap a ribbon around the perimeter of a rectangle, the perimeter of a rectangle P = 2(L + W) where L = length of rectangle and W = width of rectangle.
Given that the perimeter of the rectangle, P = 56 inches and the length of the rectangle, L is five less than twice the width of the rectangle, W we have that
L = 2W - 5
Substituting L into P, we have
P = 2(2W - 5 + W)
P = 2(W - 5)
Since P = 56, we have
2(W - 5) = 56
~Dividing both sides by 2, we have
W - 5 = 56/2
W - 5 = 23
Adding 5 to both sides, we have
W = 23 + 5
W = 28 inches
Substituting W into L, we have
L = 2W - 5
L = 2(28) - 5
L = 56 - 5
L = 51 inches
So, the length of the rectangle is 51 inches while the width of the rectangle is 28 inches.
Learn more about perimeter of a rectangle here:
brainly.com/question/16715918
Answer:
4. ▭<em>LKJH</em><em> </em>≅ ▭<em>DCBA</em>
∆<em>VUT</em> ≅ ∆<em>PNM</em>
<em> </em><em> </em><em> </em><em> </em>⊿<em>GFE</em> ≅ ⊿<em>SRQ</em>
3. ▭<em>GFED</em> ≅ ▭<em>PNML</em>
∆<em>CBA</em> ≅ ∆<em>VUT</em>
∆<em>SRQ</em> ≅ ∆<em>KJH</em>
Step-by-step explanation:
Congruent means that they are the EXACT same shape and same size. You also have to know which angles are congruent to each other in correspondence.
I am joyous to assist you anytime.
