Hi there!
Find the perimeter using the formula:
P = 2l + 2w
It is given that the dimensions are 2.8 × 1.9 so plug these number into the equation:
P = 2(2.8) + 2(1.9)
P = 5.6 + 3.8
P = 9.4m
What is the slope of y = - x + 7
m= (-1)
which is equal to the slope of the equation .
Fergus has 3 1/4 cups of oats
= 13/4 cups of oats
Oatmeal bars = 2 2/3
= 8/3 cups of oatmeal used
Therefore cups of oats left = 13/4 - 8/3
= 39/12 - 32/12
= 7/12 cups of oats left
She borrowed 1 cup of oats from neighbour
7/12 + 1/1
= 7/12 + 12/12
= 19/12 cups of oats
Blueberry oats muffin = 1 3/4 cups of oats
= 7/4 cups of oats
Total she will have now = 19/12-7/4
= 19/12 - 21/12
= - 2/12
= -1/6
Which means she needs 1/6 cup of oats more
Therefore its option 4
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The correct answer is: [D]: " 7.2 units" .
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Explanation:
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Use the Pythagorean theorem:
a² + b² = c² ;
in which: "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle); and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle; We wish to solve for "c" ;
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6² + 4² = c² ; Solve for "c" ;
↔ c² = 6² + 4² ;
= (6*6) + (4*4) ;
= 36 + 16 ;
= 52 ;
c² = 52 ;
Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ;
√(c²) = √52 ;
c = √52 ;
At this point, we know the 7² = 49 ; 8² = 64 ; so, the answer is somewhere between "7" and "8" ; yet closer to "7" ; so among the answer choices given;
The correct answer is: [D]: " 7.2 units" .
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However, let use a calculator:
c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
which corresponds to:
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Answer choice: [C]: " 7.2 units" .
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Answer:
Step-by-step explanation:
![\sqrt[3]{-\frac{1}{512}}=\frac{\sqrt[3]{-1}}{\sqrt[3]{512}}=\frac{-1}{8}=-\frac{1}{8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-%5Cfrac%7B1%7D%7B512%7D%7D%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B-1%7D%7D%7B%5Csqrt%5B3%5D%7B512%7D%7D%3D%5Cfrac%7B-1%7D%7B8%7D%3D-%5Cfrac%7B1%7D%7B8%7D)
