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lana66690 [7]
3 years ago
15

How to find the side of a rhombus with given diagonals?

Mathematics
1 answer:
spayn [35]3 years ago
7 0
The diagonals of a rhombus are perpendicular bisectors of each other. You can use the Pythagorean theorem. If the diagonals are length "a" and "b", the side length of the rhombus (s) is
  s = (1/2)√(a²+b²)
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Beach Cruises prints brochures and fliers to advertise their dolphin watching tours. To print, the brochure requires three pages
Ivanshal [37]

Answer:

To minimize their costs, Beach Cruises should print 80 brochures and 130 fliers.

Step-by-step explanation:

Total number of sheets available = 500 sheets

For brochures;

1 brochure contains 3 pages

Minimum number of brochures that should be printed = 80

Cost of 1 brochure = 10 cents

Number of sheets required to print 80 brochures = 80 × 3 = 240 sheets

For fliers;

1 flier contains 2 pages

Minimum number of fliers to be printed = 100

cost of 1 flier = 6 cents

Number of sheets required to print 100 fliers = 100 × 2 = 200 sheets

Total number of sheets that will be used to print at least 80 brochures and 100 fliers = 240 + 200 = 440 sheets

number of sheets left = 500 - 440 = 60 sheets

After Beach cruises have printed the minimum required 80 brochures and 100 fliers, they are left with 60 free sheets of paper.

Since it is cheaper for Beach cruises to print fliers (at 6 cent per flier) than brochures (at 10 cent per brochure), then it is advisable to use the remaining 60 sheets to print fliers, so as to minimize costs.

Since 1 flier contains 2 pages,

with 60 sheets, the number of fliers that can be printed = 60/2 = 30 fliers

cost of 30 fliers = 30 × 6 cents = 180 cents

If the remaining 60 sheets are used to print brochures;

1 brochure has 3 pages,

therefore number of brochures to be printed = 60/3 = 20 brochures

cost of 20 brochures = 20 × 10 cents = 200 cents

This is why it is cheaper to print extra fliers at 180 cents.

Therefore total number of prints will be;

Brochures = 80

Fliers = 100 + 30 =130

3 0
3 years ago
You are asked to choose a vowel (a, e, i, o, u) from a list, and then to choose either the number 6 or 7. How many possible outc
faltersainse [42]

Answer:

10 possible outcomes

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7}

Step-by-step explanation:

As there are 5 vowels and 2 numbers that have to be chosen, the total outcomes are

= 5x2 = 10

Each vowel can be chosen with 6 or with 7

Let S be the sample space

a vowel will be chosen first then there is possibility that either the number chosen with it is either 6 or 7 so each vowel will have two possible outcomes with the number

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7} ..

4 0
3 years ago
Jackson is three times as heavy as Andrew. If the sum of their weight is 360 pounds, find Andrews weight​
Delicious77 [7]
Answer: Andrew = 90 pounds

Explanation:
Assume Andrew weight is X
Since Jackson weight is 3 times Andrew
Then it’s 3x

3x + x = 360
4x = 360
x = 90
5 0
3 years ago
Read 2 more answers
A doorway is 7 1/2 feet tall. How many inches tall is the doorway?
neonofarm [45]

Answer:

6.07/212

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Find the measures of the acute angles of the right triangle shown
yanalaym [24]

9514 1404 393

Answer:

  • 2x° = 64°
  • (x-6)° = 26°

Step-by-step explanation:

The acute angles in a right triangle are complementary:

  2x° +(x -6)° = 90°

  3x = 96 . . . . . . . . . divide by °, add 6

  x = 32 . . . . . . . . . divide by 3

  (x-6)° = (32 -6)° = 26°

  2x° = 2(32)° = 64°

The acute angles have measures 26° and 64°.

7 0
3 years ago
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