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Svetllana [295]
3 years ago
15

A clothing pattern calls for 4.81 yd2 of fabric. How many square inches of fabric does the pattern use?

Mathematics
2 answers:
omeli [17]3 years ago
7 0
The answer is 6215.75 square inches. The area of the fabric is 4.81 square yards so taking the square root of that I get approx 2.19 yards. Checking, 2.19 x 2.19 yards = 4.81 sq yds. I yard is 36 inches so 2.19 x 36 = 78.84 inches and when this is squared ie 78.84 x 78.84 you get 6215.75 square inches. 
Vera_Pavlovna [14]3 years ago
4 0
Total square inches of fabric. 
To answer this question you need to know how many square inches makes up one square yard.

1296 square inches makes one square yard. 

Therefore total square inches =
1296x4.81= 6233.76 square inches
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faust18 [17]
It should be 5√3

Because 25 x 3 = 75

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3 0
3 years ago
2 and one half divide by one fourth
solmaris [256]
Hi,

2 \frac{1}{2}  \div  \frac{1}{4}   \\ 2 \frac{2}{4}  \div  \frac{1}{4}  = 10

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r3t40
3 0
4 years ago
A tree struck by lightning in a storm breaks and falls over to form a triangle with the ground. The tip of the tree makes a 36°
liraira [26]

Answer: approximately 49 feets

Step-by-step explanation:

The diagram of the tree is shown in the attached photo. The tree fell with its tip forming an angle of 36 degrees with the ground. It forms a right angle triangle,ABC. Angle C is gotten by subtracting the sum of angle A and angle B from 180(sum of angles in a triangle is 180 degrees).

To determine the height of the tree, we will apply trigonometric ratio

Tan # = opposite/ adjacent

Where # = 36 degrees

Opposite = x feets

Adjacent = 25 feets

Tan 36 = x/25

x = 25tan36

x = 25 × 0.7265

x = 18.1625

Height of the tree from the ground to the point where it broke = x = 18.1625 meters.

The entire height of the tree would be the the length of the fallen side of the tree, y + 18.1625m

To get y, we will use Pythagoras theorem

y^2 = 25^2 + 18.1625^2

y^2 = 625 + 329.88

y^2 = 954.88

y = √954.88 = 30.9 meters

Height of the tree before falling was

18.1625+30.9 = 49.0625

The height of the tree was approximately 49 feets

5 0
3 years ago
Which theorem or postulate proves that △ABC and △DEF are similar?
yan [13]

Answer:

△ABC and △DEF are similar by SAS Similarity Theorem.

Option (C) is correct .

Step-by-step explanation:

Definition of SAS Similarity property

Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .

In △ABC and △DEF

\frac{ED}{AB}= \frac{7}{21}

\frac{ED}{AB}= \frac{1}{3}

and

\frac{EF}{BC}= \frac{11}{33}

\frac{EF}{BC}= \frac{1}{3}

Thus

\frac{ED}{AB}=\frac{EF}{BC}= \frac{1}{3}

∠ABC = ∠DEF  (As given in the figure )

Thus △ABC and △DEF are similar by SAS Similarity property .

7 0
3 years ago
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snow_tiger [21]
20x26=520

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3 years ago
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