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Inga [223]
4 years ago
7

Violet's mother ordered 60.5 yards of satin cloth for her boutique. If she has already used 25.42 yards of the cloth, how much c

loth does she have left?
A.
32.16 yards
B.
34.84 yards
C.
35.08 yards
D.
35.25 yards
Mathematics
1 answer:
BlackZzzverrR [31]4 years ago
6 0

C) 35.08 yards

60.50-25.42=35.08

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Please teach me on how to answer this question. (addmath question)
arsen [322]

We know that \overline{x}=8 so:

\overline{x}=8\\\\\\\dfrac{\sum\limits_{k=1}^7\,x_k}{7}=8\qquad|\cdot7\\\\\\ \boxed{\sum\limits_{k=1}^7\,x_k=56}

We want to calculate:

\sum\limits_{k=1}^7\,\big(2x_k-3\big)^2=\sum\limits_{k=1}^7\,\big(4x_k^2-12x_k+9\big)=\\\\\\=\sum\limits_{k=1}^7\,4x_k^2-\sum\limits_{k=1}^7\,\big12x_k+\sum\limits_{k=1}^7\,9=4\sum\limits_{k=1}^7\,x_k^2-12\sum\limits_{k=1}^7\,x_k+\sum\limits_{k=1}^7\,9=\\\\\\=4\cdot672-12\cdot56+7\cdot9=2688-672+63=\boxed{2079}

5 0
3 years ago
The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.
aleksley [76]

Answer:

59.04°

58.31 inches

Step-by-step explanation:

The solution triangle is attached below :

Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;

Let the angle = θ

Tanθ = opposite / Adjacent

Tanθ = 50/30

θ = tan^-1(50/30)

θ = 59.036°

θ = 59.04°

The length of ladder can be obtained using Pythagoras :

Length of ladder is the hypotenus :

Hence,

Hypotenus = √(adjacent² + opposite²)

Hypotenus = √(50² + 30²)

Hypotenus = √(2500 + 900)

Hypotenus = 58.309

Length of ladder = 58.31 inches

4 0
3 years ago
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What is 12.2x+50.6y+3(1.4x-2.6y) simplified?
Svetllana [295]

16.4x + 42.8y


Hope this helps & good luck. :)

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4 years ago
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The price of a book that originally cost c dollars was decreased by $10 and then increased by 25% select all the expressions tha
liq [111]

Answer:

Step-by-step explanation:

B. (c- 10)+ 0.25

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3 years ago
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