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2 years ago

Please help, im two weeks behind on my math ):

Mathematics

1 answer:

bixtya [17]2 years ago

3 0

Answer:

the surface of area is 14cm to 2cm to 6cm please rate my answer

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PLEASE HELP ASAP!!!! Thanks!!

tino4ka555 [31]

Answer:

1.2 cm

Step-by-step explanation:

Quadrilateral circumscribing a circle is a quadrangle whose sides are tangent to a circle inside it (see attached diagram).

The area of circumscribed quadrilateral is

$A=p\cdot r,$

where $p=\dfrac{a+b+c+d}{2}$ is semi-perimeter and r is radius of inscribed circle.

In your case, $A=12\ cm^2$

If a quadrilateral is circumscribed over the circle, then the sum of opposite sides is equal, so

$a+c=b+d=10\ cm,$

$P=10+10=20\ cm\\ \\p=\dfrac{20}{2}=10\ cm$

Now

$12=10\cdot r\Rightarrow r=\dfrac{12}{10}=1.2\ cm$

8 0

3 years ago

. Given ABCD 2 EFGH, what is the value of X? H Н 6 m 7 m 5 m А D 9 m

Nookie1986 [14]

Answer:

x=6 cm

Step-by-step explanation:

As given in the question that ABCD is congruent to EFGH.

We can say that,

AD <-----> EH {Corresponding Parts Of Congruent Polygons}

AD=EH

We are given that,

$AD=9\\EH=(2x-3)\\Hence,\\As\ AD=EH\\9=2x-3\\9+3=2x\\12=2x\\x=6$

5 0

3 years ago

An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.

MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years, there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is $\frac{21}{3000000}==0.000007$ .

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by $q$ .

$q=7\times 10^{-6}=0.000007$ .

So, the probability of survive, $p=1-q$

$\Rightarrow p=1-7\times 10^{-6}=0.999993.$

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

$=\binom(n,r)p^rq^{n-r}$

$=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}$

$=(0.999993)^{48}=0.999664$ (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total $n$ skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

$0.9=\binom {n }{r} p^rq^{n-r}$

Here, r=n.

$\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}$

$\Rightarrow 0.9=p^n$

$\Rightarrow 0.9=(0.999993)^n$

$\Rightarrow \ln(0.9)=n\ln(0.999993)$ [ taking $\log_e$ both sides]

$\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}$

$\Rightarrow n=15051.45$

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0

3 years ago

Line AB contains points A (0, 1) and B (1, 5). The slope of line AB is A. -4 B. -1/4 C. 1/4 D. 4

il63 [147K]

Slope is rise over run so since it rose 4 and went 1 to the right the slope would be 4 because 4/1=4 P.S. The actual formula for slope is y2-y1 over x2-x1 so it would be 5-1/1-0 which again is 4/1

6 0

3 years ago

I need to know this asap thanks

lisabon 2012 [21]

1. 1 7/8

wait a minute for me to answer number 2

7 0

3 years ago