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tresset_1 [31]
3 years ago
12

Write in base two the following numbers: one, two, four, eight, and sixteen.

Mathematics
1 answer:
Vikki [24]3 years ago
3 0

Answer:

1 is 1 in base 2

2 is 10

4 is 100

8 is 1,000

16 is 10,000

Step-by-step explanation:

Here, we want to write the numbers in base 2;

We simply divide each by 2 and note the remainders;

For 1 ; in base two , the answer is 1

for 2 in base two, the answer is 10

For 4 in base two, the answer is; 100

For 8, the answer is 1000

For 16 , the answer is 10,000

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2 years ago
Prove that angle W is congruent to angle Y with a two column proof.
iren2701 [21]

Statement 1: WXYZ is a kite

Reason 1: Given

Statement 2: WX = XY and WZ = YZ

Reason 2: Definition of a kite

Statement 3: XZ = XZ

Reason 3: Reflexive property

Statement 4: Triangle WXZ = Triangle YXZ

Reason 4: SSS Congruence

Statement 5: Angle W = Angle Y

Reason 5: CPCTC

-------------------------------------------------------------------------

Extra notes:

* A kite is a quadrilateral that has two pairs of adjacent congruent sides. In this case, WX and XY is one pair of congruent sides that are adjacent (ie next to each other). So that's why WX = XY. Similarly, WZ = YZ is the second pair of adjacent congruent sides.

* Draw in a segment from point X to point Z to help form two triangles. The two triangles are congruent as proven in statement 4. One triangle is a reflection over the line XZ to get the other triangle.

* Due to this reflection, angle W reflects over line XZ to get angle Y. Proving that angle W = angle Y

* SSS means "side side side", basically saying "you use three pairs of congruent sides to prove two triangles congruent".

* The acronym CPCTC stands for "corresponding parts of congruent triangles are congruent"

4 0
3 years ago
A landscaper is making a garden bed in the shape of a rectangle. The length of the garden bed is 2.5 feet longer than twice the
Step2247 [10]

Answer:

I'll setup the problem, then you can do the calculations

Step-by-step explanation:

Perimeter = 2width(W) + 2length (L)

Area = LW

L = 2.5 + 2W

LW = 62.5

substitute L in equation for area

2.5W +  {2W}^{2}  = 62.5 \\  \\  {2W}^{2}  + 2.5 - 62.5 \\  \\  use \:  quadratic \:  solution \\\frac{ - b ±  \sqrt{ {b}^{2}  - 4ac}}{2a}

a = 2; b = 2.5; c = 62.5

send a comment if you have a question

7 0
3 years ago
I need it by tmr<br> ill give brainliest thx
Zina [86]

Answer:

21. B. Graph Z

23. A. neither function nor relation

24. D. relation only

Step-by-step explanation:

21. Graph Z is the only graph which does not pass the vertical line test

23. The graph does not pass the vertical line test, AND it is not merely given x and y points like a relation. It is graphed as a squiggly line with no given x and y points, therefore you could not make a relation from it either.

24. There is an x value of -4 twice, meaning the set does not pass the vertical line test, HOWEVER, it is a given collection of x and y values, making it a relation.

I would appreciate brainliest, have an amazing day

8 0
3 years ago
What is 10×10×10+56÷25+50
OleMash [197]
What I would do is break up into part. First do 10*10*10 which is 1,000. Then add 56 and 50 which is 106. after you do that and get 1,106 divded it by 25 which is 42.54. Hope I helped.
8 0
2 years ago
Read 2 more answers
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