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Nastasia [14]
3 years ago
10

Find octal expansion of (B5D)16.

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
5 0

b5d₁₆ = 11×16² + 5×16¹ + 13×16⁰

… = 11×(2×8)² + 5×(2×8)¹ + 13×(2×8)⁰

… = 11×4×8² + 5×2×8¹ + 13×8⁰

… = 44×8² + 10×8¹ + 13×8⁰

… = (40 + 4)×8² + (8 + 2)×8¹ + (8 + 5)×8⁰

… = (5×8 + 4)×8² + (1×8 + 2)×8¹ + (1×8 + 5)×8⁰

… = 5×8³ + 4×8² + 1×8² + 2×8¹ + 1×8¹ + 5×8⁰

… = 5×8³ + 5×8² + 3×8¹ + 5×8⁰

… = 5535₈

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Mariulka [41]

Answer:

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Step-by-step explanation:

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Joanne and Ed Greenwood built a new barn with an attached arena. To finance the loan, they paid $1,326 interest on $47,600 at 4%
pshichka [43]

Answer:254 days

Joanne and Ed Greenwood built a new barn with an attached arena. To finance the loan, they paid $1,326 interest on $47,600 at 4%. What was the time, using exact interest? (Do not round intermediate calculations. Round up your answer to the nearest day.)

Step-by-step explanation

Note that

Interest is represented by I=1326

The principal is represented by P=47,600

Rate is R =4%

And Time is year

Interest is calculated using the formulae,

I =PRT/100

From the above formulae, time can be calculated as

T=100I/PR

T= 100×1326/(47600×4)

T= 132600/190400

T= 0.6964 years

To convert to days, multiply by 365(since those no of days make a year)

T= 0.6964×365=254 days

This was approximated to the nearest day

Answer is 254 days

8 0
3 years ago
Find the length of midsegment YZ in trapezoid ABCD when A(-5,-6) B(-6,-2) C(-4,0) and D(3,2)
Luda [366]

Answer:

Option C

Step-by-step explanation:

Since, Y and Z are the midpoints of sides AB and CD of the given trapezoid.

Segment YZ will the midsegment of trapezoid ABCD.

By the theorem of midsegment,

m(YZ) = \frac{1}{2}(AD+BC)

By using expression for the length of a segment between two points,

Length of a segment = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between two points A(-5, -6) and D(3, 2),

AD = \sqrt{(3+5)^2+(2+6)^2}

AD = \sqrt{64+64}

AD = \sqrt{128}

AD = 8\sqrt{2}

Distance between B(-6, -2) and C(-4, 0)

BC = \sqrt{(-6+4)^2+(-2-0)^2}

BC = \sqrt{8}

BC = 2\sqrt{2}

Therefore, m(YZ) = \frac{1}{2}(8\sqrt{2}+2\sqrt{2})

                             = \frac{1}{2} (10\sqrt{2})

                             = 5\sqrt{2}

Option C will be the answer.

7 0
3 years ago
Whats the answer of 2x+23=49
Anastaziya [24]
X=13 is your answer 49-23= 26 divided by 2 is 13
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