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dedylja [7]
3 years ago
9

The figures are similar find X ​

Mathematics
1 answer:
mr Goodwill [35]3 years ago
4 0

Answer:

<h3><em>X=14.4</em></h3>

<em>Step-by-step explanation:</em>

<em>As triangles are similar </em>

<em>The ratio of the sides must be equal</em>

<em>so..</em>

<em />\frac{x}{8} =\frac{9}{5}<em />

<em />x=\frac{9*8}{5}<em />

<em />x=14.4<em />

<em>hope it helps...</em>

<em>have a great day!!</em>

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In the geometric progression 1, 2, 4… what term is 512?
Levart [38]

The next term is double the previous term, so that the n-th term is given recursively by

\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}

This rule tells us that

a_2=2a_1

a_3=2a_2=2^2a_1

a_4=2a_3=2^3a_1

and so on, with the explicit rule

a_n=2^{n-1}a_1=2^{n-1}

for n\ge1.

If 512 is the k-th term in the sequence, then

512=2^{k-1}\implies\log_2512=\log_22^9=\log_22^{k-1}\implies9=k-1\implies k=10

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3 years ago
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stepan [7]

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3 years ago
At a high school, students can choose between three art electives, four history electives, and five computer electives. Each stu
V125BC [204]

Answer:

\frac{^3C_1\times ^4C_1}{^{12}C_2}

Step-by-step explanation:

Given,

Art electives = 3,

History electives = 4,

Computer electives = 5,

Total number of electives = 3 + 4 + 5 = 12,

Since, if a student chooses an art elective and a history elective,

So, the total combination of choosing an art elective and a history elective = ^3C_1\times ^4C_1

Also, the total combination of choosing any 2 subjects out of 12 subjects = ^{12}C_2

Hence, the probability that a student chooses an art elective and a history elective = \frac{\text{Total combination of choosing an art elective and a history}}{\text{ Total combination of choosing any 2 subjects}}

=\frac{^3C_1\times ^4C_1}{^{12}C_2}

Which is the required expression.

3 0
3 years ago
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What is the degree of the following polynomial?<br> -4x + 5x2 – 2x5 + 12
djyliett [7]

Answer:

5

Step-by-step explanation:

The highest power of x will be the degree of the polynomial.

4 0
3 years ago
X and Y are loss random variables, with X discrete and Y continuous. The joint density function of X and Y is f(x, y) = [(x+1)e-
STALIN [3.7K]

Answer:

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Step-by-step explanation:

We know the joint density function:

f(x,y)=\frac{(x+1)e^{-y/2}}{12}

To find the probability that (X+Y)<2, we can divide this in two steps.

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We can calculate P(X=0,Y<2) as:

P(X=0,Y

We can calculate P(X=1,Y<1) as:

P(X=1,Y

Then

P(X+Y

3 0
3 years ago
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