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3 years ago

∆ABC is a right angled at B and D is a point on BC if AD = 18cm BD = 9cm and CD =4cm Find AC

Mathematics

1 answer:

Gemiola [76]3 years ago

3 0

In triangle, ABD,

AD²= AB²+BD²

AB² = AD²-BD²

AB² = 18²-9² = 324-81 = 243

AB = √243

In triangle, ABC,

AC² = AB²+BC²

AC² = (√243)²+(13)²

AC² = 243+169

AC = √412

AC = 20.29

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What is the contra positive of the statement if 9x=27, then x=3

Karo-lina-s [1.5K]

Answer:

If 9x is not =27, then x is not =3

Step-by-step explanation:

Going out on a limb here, please ignore if I'm missing it:

If 9x is not =27, then x is not =3

(I can't type the equal sign with a slash through it.)

7 0

3 years ago

Konrad raised $75.50 for his football team. He raised 151% of his fundraising goal how much more then his fundraising did Konrad

Colt1911 [192]

Answer:

He raised $25.50 over his fund raising goal

Step-by-step explanation:

Here, we want to calculate his fund raising goal.

Let his fund raising goal be $x

We are told that he raised 151% of his fundraising goal;

Thus,

mathematically;

151% of x = 75.5

151/100 * x = 75.5

151x = 100 * 75.5

151x = 7550

x = 7550/151

x = $50

So the amount he raised over his fund raising goal will be $75.50 - $50 = $25.50

8 0

3 years ago

The number of errors in a textbook follow a poisson distribution with a mean of 0.01 errors per page. what is the probability th

neonofarm [45]

Mean number of errors in each page = 0.01
Mean number of errors in 100 pages = 0.01*100=1

It is possible to use the cumulative distribution function (CMF), but the math is a little more complex, involving the gamma-function. Tables and software are available for that purpose.

Thus it is easier to evaluate with a calculator for the individual cases of k=0,1,2 and 3.

The Poisson distribution has a PMF (probability mass function)

$P(k):=\frac{\lambda^ke^{-\lambda}}{k!}$
with λ = 1
=>
$P(0):=\frac{1^0e^{-1}}{0!}=0.3678794$
$P(1):=\frac{1^1e^{-1}}{1!}=0.3678794$
$P(2):=\frac{1^2e^{-1}}{2!}=0.1839397$
$P(3):=\frac{1^3e^{-1}}{3!}=0.0613132$
=>
$P(k$
or
P(k<=3)=0.9810 (to four decimal places)

3 0

3 years ago

Please help! 50 points!

german

Answer:

12 units right

17 1/2 units up

Step-by-step explanation:

6 0

3 years ago

Graph the line with slope 2 5 and y -intercept − 7 .

tia_tia [17]