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CaHeK987 [17]
3 years ago
9

Explain why you can rewrite a division problem by moving the decimal points in the divisor and dividend the same number of decim

al places.
Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0
Because you can not have a number that is a dessimal in the devisor
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The two triangle­shaped gardens are congruent. Find all of the missing side lengths and angle measures. Show any necessary work
pantera1 [17]
The two figures are in the file attached.

Congruency means that all the respcetive sides and angles are equals.

Then, the three angles are :

y = 38°

x = 90°

w = 180° - 90° - 38° = 52


The three sides are:

z= 10yd
v= 7.9yd
u=6.2yd


You have all the measures as a function of yd, but you do not have any information about yd, then it is not possible to find the real lenghts.

All you can tell is that the sides obey Pythagoream theorem:

u^2 + v^2 = z^2   

But that is not enough to find one side, because you do not know any of them.

For example if you apply Pytagorean theorem you cand do"

(7.9yd)^2 + (6.2)^2 = (10yd)^2

but that cannot be solved for yd, because they are factors of all the terms in both sides, which mean that they cancel to obtain:

(7.9)^2 + (6.2)^2 = (10)^2, which is not any new information.

Also you can think about sine theorem, but it does not help, because you also need one side.


Then you only can tell the missing angles, as I have shown, but not the misssing lengths.


Download docx
8 0
3 years ago
There are 10 less trumpet players than saxophone players. The number of saxophone playere is 3 times thr number of trumpet playe
just olya [345]
I'm guessing it 30 it says 3 times the nber of trumpet players
7 0
3 years ago
When Shannon goes grocery shopping, the subtotal
likoan [24]

Answer:

the final cost would be 123.05

8 0
2 years ago
A small airline overbooks flights on the assumption that several passengers will not show up. Suppose that the probability that
olchik [2.2K]

We have 22 tickets sold, and 20 seats. This means that at least 2 passengers must not show up (otherwise, at least 21 passengers will be present, and there wouldn't be space for them).

Considering each passenger as independent, you can think of this experiment. Suppose you toss a coin for each passenger. If the coin lands on heads, the passenger shows up. If it lands on tails, the passenger doesn't show up.

But the coin is unfair: it has a 0.91 probability of landing on heads, and thus 0.09 probability of landing on tails.

This implies that the probability of having exactly k tails is

\binom{22}{k} \cdot 0.09^k \cdot 0.91^{22-k}

We already concluded that at least two passengers must not show up. So, if our coins lands on tails less than twice, we've lost. So, the losing probability is

\displaystyle\binom{22}{0}\cdot 0.09^0 \cdot 0.91^{22} + \binom{22}{1}\cdot 0.09^1 \cdot 0.91^{21} \approx 0.39

Finally, remember the rule to negate events:

P(E) = 1-P(\lnot E)

So, if we lose with probability 0.39, we win with probability

1-0.39 = 0.61

6 0
3 years ago
Determine which set of numbers can be the measures of the sides of a triangle.
klemol [59]

Answer:

  a)  13, 10, 16

Step-by-step explanation:

The usual form of the triangle inequality requires the sum of the two shortest sides exceed the longest side (a+b>c). The only choice for which this is true is ...

  10 + 13 > 16 . . . . choice A

_____

<em>Comment on the triangle inequality</em>

Some authors also allow the sum to equal the longest side (a+b≥c). In that case, choice B (1+2=3) is also an answer. This "triangle" would look like a line segment of length 3. It has zero area.

3 0
4 years ago
Read 2 more answers
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