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agasfer [191]
3 years ago
10

50 POINTS ANSWER ASAP what is number 8

Mathematics
1 answer:
USPshnik [31]3 years ago
4 0
The key to this problem is recognizing that the line DF must bisect the angle BDC. This is because CD must coincide with diagonal BD when folded along line DF.

The angle BDC is clearly 45 degrees since the diagonal bisects the right angle.
Therefore angle x = 45/2 (Attached diagram).

You can then find CF (labeled y) using tangent function.
tan (\frac{45}{2}) = \frac{y}{1}
From half -angle formula
y = tan (\frac{45}{2}) = \frac{-1 \pm \sqrt{1+tan^2 (45)}}{tan (45)} = -1 \pm \sqrt{2}

Eliminating the negative case since y>0.
y = -1 + \sqrt{2}
Therefore
k = 2
m = 1

Final Answer:
k+m = 3

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HELP me please. What is the constant of proportionality
Sonbull [250]

Answer:

2/3

Step-by-step explanation:

This is the function in the form of y=mx+b

When b=0, the constant of proportionality is m.

When b \neq 0, there is no constant of proportionality.

7 0
3 years ago
The probability that the noise level of a wide-band amplifier will exceed 2 dB is 0.05 independently of every other amplifier. C
snow_lady [41]

Answer:

0.980

Step-by-step explanation:

The probability that the noise level of a wide-band amplifier will exceed 2 dB is 0.05

So, probability of success = 0.05

Probability of failure = 1-0.05=0.95

There are 12 amplifiers

We are supposed to find  the probability that at most two will exceed 2dB.

We will use binomial distribution

Formula : P(X=r)=^nC_r p^r q ^{n-r}

p = 0.05

q = 0.95

n = 12

We are supposed to find the probability that at most two will exceed 2dB.

So, P(X\leq 2)=P(X=0)+P(X=1)+P(X=2)

P(X\leq 2)=^{12}C_0 P(0.05)^0 (0.95)^{12-0}+^{12}C_1 P(0.05)^1(0.95)^{12-1}+^{12}C_2 P(0.05)^2 (0.95)^{12-2}

P(X\leq 2)=\frac{12!}{0!(12-0)!} (0.05)^0 (0.95)^{12-0}+\frac{12!}{1!(12-1)!}(0.05)^1(0.95)^{12-1}+\frac{12!}{2!(12-2)!} (0.05)^2 (0.95)^{12-2}

P(X\leq 2)=0.980

Hence the probability that at most two will exceed 2dB is 0.980

7 0
3 years ago
Using the ratio of perfect squares method, what is square root of 14 rounded to the nearest hundredth? Do not use your calculato
Svetlanka [38]
The square root of 14 rounded to the nearest hundredth without using the calculator can be done this way. Follow these steps:
<span>1. Guess
2. Divide
<span>3. Average
</span></span>
GUESS.
1. Make good guess. We'll just use 2

DIVIDE.
2. Divide 14 by our guess of 2 = 7.

AVERAGE.
3. Average 7 and 2: (7+2)/2 = 4.5

Here, we repeat step 2 using 7 as our new guess, 4.5
2. 14/4.5 = 3.1
3. (3.1 + 4.5)/2 = 3.8
<span>
2. 14/3.8 = 3.7
3. (3.7 + 3.3)/2 = 3.5

2. 14/3.5 = 4
3. (3.5 + 4)/2 = 3.75

2. 14/3.75 = 3.7
3. (3.75 + 3.7)/2 = 3.725

so on and so forth until the pattern remains in 3.7</span>
6 0
4 years ago
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Otrada [13]

Answer:

36 units

Step-by-step explanation:

Hope can help you ...I use the formula that to find its area...

4 0
3 years ago
Read 2 more answers
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shtirl [24]

That is 99 degrees if you have the triangle facing the other way

8 0
4 years ago
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