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alexira [117]
3 years ago
7

Convert 100110 base two to a number in base three​

Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0

Convert to base 10:

10 0110₂ = 2⁵ + 2² + 2¹ = 38

Convert to base 3:

38 = 27 + 11 = 27 + 9 + 2 = 3³ + 3² + 2×3⁰ = 1102₃

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Estimate the perimeter and area of the shaded figure to the nearest tenth.
Maru [420]

Answer:

Perimeter = 18.7 units

Area = 13.5 units²

Step-by-step explanation:

Perimeter of ADEC = AD + DE + EC + AC

Length of AD = 3 units

By applying Pythagoras theorem in ΔDBE,

DE² = DB² + BE²

DE² = 3² + 3²

DE = √18

DE = 4.24 units

Length of EC = 3 units

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

AC² = 6² + 6²

AC = √72

AC = 8.49 units

Perimeter of ADEC = 3 + 4.24 + 3 + 8.49

                                 = 18.73 units

                                 ≈ 18.7 units

Area of ADEC = Area of ΔABC - Area of ΔBDE

Area of ΔABC = \frac{1}{2}(AB)(BC)

                       = \frac{1}{2}(6)(6)

                       = 18 units²

Area of ΔBDE = \frac{1}{2}(BD)(BE)

                       = \frac{1}{2}(3)(3)

                       = 4.5 units²

Area of ADEC = 18 - 4.5

                        = 13.5 units²

6 0
3 years ago
Joanne has a cell phone plan that charges a flat rate of $97 and $0.10 for every text she sends. Her goal is to spend less than
Alik [6]
I’m pretty sure the answer would be A,because if her bill is $97 and it’s $0.10 every txt she sends then and she wants to spend less then $113 then if you take $113 and subtract it by 97 it gives you 16 then if you divided 16/ 0.10 then it gives you 160 so she is sending atleast 160 txt.
6 0
3 years ago
Help plz...<br> choose one of the answer choices.
mr Goodwill [35]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
The parallelogram below is being covered with carpet. The carpet is priced at $2.80 per square meter. How much will it cost to c
Sloan [31]

Answer:

<em><u>$79.38</u></em>

Step-by-step explanation:

Find the diagram of the question attached

Area of the parallelogram = Base * Height

Given

Base = 8.1m

Height = 3.5m

Area of the parallelogram = 8.1 * 3.5

Area of the parallelogram = 28.35m²

If the carpet is priced at $2.80 per square meter, then;

1m² = $2.80

28.35m² = x

x = 28.35 * 2.80

x = $79.38

<em><u>Hence the cost of the carpet is $79.38</u></em>

7 0
2 years ago
841 rounded to the nearest 10 and 100
LUCKY_DIMON [66]

Answer:

rounded to the nearest 10 is 840

rounded to the nearest 100 is 800

Step-by-step explanation:

6 0
3 years ago
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