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Ber [7]
3 years ago
5

What base makes the equation below true? Note: A number should be entered, not a word.

Mathematics
1 answer:
il63 [147K]3 years ago
6 0

Answer:

4

Step-by-step explanation:

in base 4

21 = (2 * 4) + (1 * 1) = 9

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The diagram shows rectangle ABCD, with diagnal BD. What is the perimeter of rectangle ABCS, to the nearest tenth?
Natalka [10]

Answer:

Perimeter of rectangle ABCD = 32.8 unit (Approx.)

Step-by-step explanation:

Given:

Hypotenuse BD = 12 unit

Angle θ = 30°

Find:

Perimeter of rectangle ABCD

Computation:

Using trigonometry function

Sin θ = Perpendicular / Hypotenuse

Sin 30 = CD / BD

0.5 = CD / 12

Length of CD = 6 unit

Cos θ = Base / Hypotenuse

Sin 30 = BC / BD

0.866 = BC / 12

Length of BC = 10.4 unit

Perimeter of rectangle ABCD = 2[Length + Width]

Perimeter of rectangle ABCD = 2[6 + 10.4]

Perimeter of rectangle ABCD = 2[16.4]

Perimeter of rectangle ABCD = 32.8 unit (Approx.)

6 0
3 years ago
A rectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in.
Zanzabum
Before you do anything, you convert 1/4 into 0.25. Then you start multiplying. If you don't understand email me at [email protected] or go to Khan Academy .
5 0
4 years ago
Use the Well-Ordering Principle to prove that given a > 0, a^n > 0 for every positive integer n
pishuonlain [190]

Answer:

Following are the answer to this question:

Step-by-step explanation:

Given value:

\to x > 0

\to S= { n\varepsilon N : x^n \leq 0  } \\\\  s \neq \phi \\\\ \to x^n \leq 0\\

\to x^{n-1} x\leq 0\\\\ \to x>0  = x^{n-1} \leq 0 \\\\\to n-1 \varepsilon  s  \\  \ \ _{where} \ \  n-1 < n \\\\\to s= \phi  \\\\\to \hence  x^n > 0 \\

8 0
4 years ago
What is the lcm of 2 6 11
lys-0071 [83]
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, ...

Multiples of 6: 6, 12, 18, 24, 36, 42, 48, 54, 60, 66, ...

Multiples of 11: 11, 22, 33, 44, 55, 66, ...

The lcm of 2, 6, and 11 is 66
7 0
3 years ago
Read 2 more answers
1) What is the perimeter of the triangle shown in the drawing?
m_a_m_a [10]
I believe all you do is add the numbers with the same coefficients so 2x + 5x + x (in front of x is understood to be a 1) So you get 8x. And 8 + 1 is 9 so the perimeter is B. 8x + 9 
8 0
4 years ago
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