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nikdorinn [45]
2 years ago
9

given 12 consecutive integers in how many ways can three of these integers be selected to give a sum which divides by 4?

Mathematics
1 answer:
professor190 [17]2 years ago
8 0

Answer:

8

Step-by-step explanation:

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He will spend 80% of his money
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3 years ago
an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached.
nalin [4]

The total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Since an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. The heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the length of the shorter base of each trapezoid is 1.5 centimeters, the radii of the hexagon, and the base of the trapezoid form a triangle of

  • height, h = apothem of the hexagon = 2 cm and
  • base, b = length of shorter base of trapezoid.
<h3>Area of the triangle</h3>

So, the area of this triangle is A = 1/2bh

= 1/2 × 1. 5 cm × 2 cm

= 1.5 cm × 1 cm

= 1.5 cm²

<h3>Area of the hexagon</h3>

Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A

= 6 × 1.5 cm²

= 9.0 cm²

So, the total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Learn more about area of a hexagon here:

brainly.com/question/369332

5 0
2 years ago
Help me with this math problem please
mrs_skeptik [129]

Answer:

y=8

RS=77, ST=31

Step-by-step explanation:

Note that the entire segment RT is the combined lengths of RS and ST. So:

RT=RS+ST

We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:

108=(9y+5)+(3y+7)

On the right, combine like terms:

108=(9y+3y)+(5+7)

Add:

108=12y+12

Subtract 12 from both sides. The right cancels:

96=12y

Divide both sides by 12:

y=8

So, the value of y is 8.

To find RS and ST, substitute 8 for y. So:

RS=9y+5

Substitute 8 for y:

RS=9(8)+5

Multiply:

RS=72+5

Add:

RS=77

Do the same for ST:

ST=3y+7

Substitute 8 for y:

ST=3(8)+7

Multiply:

ST=24+7

Add:

ST=31

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