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uranmaximum [27]
3 years ago
10

tinku is fond of collecting spiders and insects. He knows spiders have 8 legs and insects have 6 legs. he counted 36 legs. How m

any of each does he have in hi collection?
Mathematics
1 answer:
kvasek [131]3 years ago
7 0
Let, number of spiders = x
number of insects = y

6x + 8y = 36

remember, legs can't be in fraction or decimal.

So, only (3, 2) fits with that.

So, there are 3 spiders & 2 insects in his collection.

Hope this helps!
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A triangle was dilated by a scale factor of 2. If cos a° = three fifths and segment FD measures 6 units, how long is segment DE?
kiruha [24]

Answer:

10 units

Step-by-step explanation:

Given that:

Cos a = 3 /5

From trigonometry ;

Cos θ = Adjacent / hypotenus

Side Adjacent angle a = 3 = FD

Hypotenus = 5 = DE

3 / 5 = FD / DE

FD = 6 units

3/5 = 6/DE

DE * 3/5 = 6

DE = 6 ÷ 3/5

DE = 6 * 5 /3

DE = 30 /3

DE = 10 units

6 0
3 years ago
Read 2 more answers
Let X be the number of Heads in 10 fair coin tosses. (a) Find the conditional PMF of X, given that the first two tosses both lan
inn [45]

Answer:

Follows are the solution to the given point:

Step-by-step explanation:

For option A:

In the first point let z be the number of heads which is available on the first two trails of tosses so, the equation is:

P(X=k | z=2 ) = \begin{pmatrix} 10-2\\ k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k}

                         = \begin{pmatrix} 8\\k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k} \ \ \ \ \ \ \ \ \  \ \\\\

                                                                                                       k= 2,3..........10For option B:

P(X=k | X \geq 2 ) =  \sum^{10}_{i=2}  \begin{pmatrix} 10-i\\ k-i\end{pmatrix} (\frac{1}{2})^{k-i} (\frac{1}{2})^{10-k}

                                                                                                k= 2,3, 4.........10

8 0
3 years ago
Rachael is placing a protective cover on a glass case. The case is a cube, and the perimeter of one cube face is 56 inches.
Dmitry_Shevchenko [17]

Answer:

336

Step-by-step explanation:

We know that a cube has 6 faces which means we can use this equation:

56 x 6 = 336

336 square inches is the answer.

5 0
2 years ago
Read 2 more answers
Pls help me in this question it is really needed
DaniilM [7]

Answer:

6 1/8 ×10 2/7= 60

60÷2 1/3= 30

The answer:

30

8 0
3 years ago
Emily is trying to rewrite 45 - 27 as the product of the GCF of the two numbers and
Karolina [17]
No, it won’t work. The greatest common factor between 45 and 27 is 9, but 45-27=18. So it cannot work.
3 0
2 years ago
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