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Yuri [45]
3 years ago
11

Andrew is putting reflective tape around the edge of a stop sign. The sign is a regular octagon, and each side is 11 inches long

. How many inches of tape will Andrew need?
Mathematics
2 answers:
Shkiper50 [21]3 years ago
7 0

Answer:

88 inches

Step-by-step explanation:

We are finding the perimeter of the stop sign, therefor we have to either multiply or add the value of 11. Since this sign is an octagon we will have to multiply by eight or add 11 eight times. This will give you an answer of 88 inches.

Serjik [45]3 years ago
3 0

Answer:

88 inches

Step-by-step explanation:

The stop sign is in the shape of an octagon. An octogon has 8 sides. If each side is 11 inches you multiply 11 * 8 which is 88.

You might be interested in
Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes
Vsevolod [243]

Answer:

  • CDs — $10,000
  • bonds — $80,000
  • stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

  c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

  0.0275c +.045b +0.104s = 8555 . . . . . total income earned

  -c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

  b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

  c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

  2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify

  .0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn

  .0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify

Using [eq4], we can write an expression for s that can be substituted into [eq5].

  s = 65000 -2c . . . . . . . expression we can substitute for s

  0.0725c +0.104(65000 -2c) = 5405

  -0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify

  c = 1355/.1355 = 10,000

  s = 65000 -2×10000 = 45,000

  b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]

6 0
3 years ago
4. Emily ate dinner at Geisha. Her total was $17.50. A 8% sales tax was
Ahat [919]

Answer: $22.68

Step-by-step explanation:

17.50 times 0.08 = 1.40

17.50 + 1.40 = 18.90

Now the tip:

18.90 times .2 = 3.78

18.90 + 3.78 = 22.68

5 0
3 years ago
Please help! Giving Brainliest for the best answer!
klasskru [66]

Answer:

  • D. A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin

Step-by-step explanation:

<em>See the picture for better visual</em>

Take segments ST and S'T'. If we extend them they will intersect at right angle.

It is the indication that the rotation is 90° or 270° but not 180°, when the corresponding segments come parallel.

The QRST is in the quadrant IV and Q'R'S'T' is in the quadrant III, which mean the rotation is 90° clockwise or 270° counterclockwise.

<u>This rotation rule is:</u>

  • (x, y) → (y, -x)

We also see the points S and T have x-coordinate of 5 but their images have y-coordinates of -6. It means the translation to the right by 1 unit was the step before rotation.

<u>We now can conclude the correct choice is D:</u>

  • A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin

8 0
3 years ago
GIVING EVERYTHING IF CORRECT. NO fake answers, you will be reported. And it hurts my grades so please don't.
seropon [69]

Answer:

A. 9.8 ft

Step-by-step explanation:

first convert the degrees to radians:

80° x (pi/180) ≈ 1.396

arc length = r x θ (always in radians)

= 7 x 1.396

= 9.772 ≈ 9.8 ft

3 0
2 years ago
Can u help me with this?
sattari [20]

12.5 is your answer! Hope I helped! :D


6 0
2 years ago
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