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motikmotik
3 years ago
11

In triangles △ABC and △DEF,

Mathematics
1 answer:
wel3 years ago
7 0

Answer:

  • BC = 4.8
  • ED = 1.1
  • DF = 1.6

Step-by-step explanation:

Since angles A and E correspond, as well as angles C and F, we can say ...

  ΔABC ~ ΔEDF

Then the ratio of side lengths of ΔABC to those of ΔEDF is ...

  AC/EF = 6/2 = 3

That means ...

  ED/AB = 1/3

  ED = AB·(1/3) = 3.3·(1/3) = 1.1

For the remaining sides, we have the relation

  3·DF = BC

  3·(BC -3.2) = BC

  2BC - 9.6 = 0 . . . eliminate parentheses, subtract length BC

  BC -4.8 = 0 . . . . . divide by 2

  BC = 4.8 . . . . . . . . add 4.8

  DF = BC·(1/3) = 1.6

The unknown side lengths are BC = 4.8, DE = 1.1, DF = 1.6.

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One package of tile will cover 3 square feet.How many packages will shee need 8,13,15,39
IrinaVladis [17]

Hey there! :)

Answer:

13 packages.

Step-by-step explanation:

Begin by finding the total area of this composite figure. Separate the figure into separate rectangles. Use the formula A = l × w to calculate the area of each:

Smaller rectangle:

Subtract 7 from 9 to find the width:

9 -7 = 2. Therefore:

2 × 2 = 4 ft².

Larger rectangle:

7 × 5 = 35 ft².

Add up the two areas to find the area of the entire figure:

4 + 35 = 39 ft².

If each package of tile covers 3 ft², simply divide to find the package of tiles needed:

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4 0
3 years ago
100 POINTS PLEASE HURRY
Harlamova29_29 [7]

Answer:

5.80 to the power of 3. I would say this is the answer if you just look closely at the number line and you will see the answer

6 0
2 years ago
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What is the height of cone S?
balu736 [363]

Answer:

12 cm

Step-by-step explanation:

First, we find the scale factor from cone S to cone T.

ratio of volumes = (vol of T)/(vol of S) = (6144 pi cm^3)/(768 pi cm^3) = 8

The ratio of the volumes is 8:1

The scale factor, which is the ratio of linear dimensions (height, radius, etc.), is the cubic root of the ratio of the volumes.

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4 0
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Please help i dont understand
Rama09 [41]

Answer:

17.5

Step-by-step explanation:

Pythagorean Theorem is a^2 + b^2 =c^2

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Answer:

B

Step-by-step explanation:

B

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2 years ago
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