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3 years ago

What is the base 2 representation of 129?

Mathematics

2 answers:

Diano4ka-milaya [45]3 years ago

8 0

Answer:

either 81 or 81.8

Step-by-step explanation:

NISA [10]3 years ago

3 0

Assuming 129 is given in base 10, notice that

129 = 128 + 1 = 2⁷ + 1

More clearly, we have

129 = 1•2⁷ + 0•2⁶ + 0•2⁵ + 0•2⁴ + 0•2³ + 0•2² + 0•2¹ + 1•2⁰

so that

129 = 1000 0001₂

(I put a space between each block of 4 bits for ease of reading)

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Math test<br> hard<br> math<br> i will mark as brainlist

ella [17]

Answer:

Surface Area: 155.98 yd²

Volume = 145.02 yd³

Step-by-step explanation:

Ok this might take a while to explain lol. First, to find the surface area of a composite 3D figure, add the areas of each geometric figure making up the composite 3D figure.

So first, we do the area of the triangle:

Equation: height base/2 which is 3 • 5/2 = 7.5

Next, the area of the rectangular prism:

Equation: 2(width • length + height • length + height • width)

Which is, 2·(2.8 · 8 + 4.8 · 8 + 4.8 · 2.8) = 148.48

The next step is to add the areas of the 3D figures together, so

7.5 + 148.48 = 155.98 (Surface area = 155.98 yd²)

Next, we do the volume:

To find the volume of a composite 3D figure, draw any necessary planes to view the figure as basic three dimensional figures, then: add basic figure volumes belonging to the composite shape.

I don't think it's necessary to re-draw anything, so just look at the figures as 3-dimensional shapes and find the volume the normal way.

Equation: 0.5 • base • height • length = 0.5 • 3 • 5 • 5

0.5 • 3 • 5 • 5 = 37.5 (Volume = 37.5)

Then finally, we do the volume of the rectangular prism:

Equation: width • height • length =2.8 · 4.8 · 8

2.8 • 4.8 • 8 = 107.52 (Volume = 107.52)

Finally, add the two volumes together and you are all done :)

37.5 + 107.52 = 145.02 (Volume = 145.02 yd³)

4 0

2 years ago

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Any help? Much appreciated

natulia [17]

Answer:

$\frac{6+\sqrt{27} }{4-\sqrt{3} } = \frac{r+s\sqrt{3} }{13} \\We\ may\ multiply\ the\ numerator\ and\ denominator\ with\ (4+\sqrt{3} ).\\Hence,\\\frac{(6+\sqrt{27})(4+\sqrt{3}) }{13} = \frac{r+s\sqrt{3} }{13} \\Hence,\\24+6\sqrt{3} +4\sqrt{27} +9= r+s\sqrt{3}\\24+6\sqrt{3} +4*3\sqrt{3} } +9= r+s\sqrt{3}\\24+6\sqrt{3} +12\sqrt{3}+9 = r+s\sqrt{3}\\33+18\sqrt{3} = r+s\sqrt{3}\\Hence,\\r=33, s=18$

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3 years ago

Maria left at 2:00 P.M. for the beach and arrived at 6:00 P.M. If she drove 203 miles to the beach, what was her average speed p

Dimas [21]

Answer:

50.75 speed per hour

Step-by-step explanation:

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2 years ago

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What is 21m-49n factored using GCF

balandron [24]

For the GCF the answer is 7

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3 years ago

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Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50

VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

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<em>Jaces songs were played on 6 more commercials than movies.</em>

$\boxed{C = 6 + M}$ → <em>Equation 1</em>

$\texttt{ }$

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

$\boxed{50C + 140M = 680}$ → <em>Equation 2</em>