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zavuch27 [327]
3 years ago
12

The formula for the area of a triangle is A=12bh , where b is the base of the triangle and h is the height of the triangle. What

is the length of the base if the area is 22 cm2 and the height is 8 cm?
Mathematics
2 answers:
Delvig [45]3 years ago
6 0
If the formula is A = 1/2 * b * h and we know that A = 22 and h = 8, then we can write it down as:

22 = 1/2 * b * 8
22 = 1/2 * 8b
22 = 4b                          / ÷ 4 (both sides)
b = 5.5

Answer: Length of the base is <span><u>5.5 cm</u></span><u />.

Doublecheck:

1/2 * 5.5 * 8 =
= 2.75 * 8 =
= 22

Correct :)



Studentka2010 [4]3 years ago
3 0

Answer:

7  

8

28

33

Step-by-step explanation:

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Given P(A)=0.78P(A)=0.78, P(B)=0.65P(B)=0.65 and P(A\cup B)=0.873P(A∪B)=0.873, find the value of P(A\cap B)P(A∩B), rounding to t
Sever21 [200]

Answer:

P(A\ n\ B) = 0.557

Step-by-step explanation:

Given

P(A) = 0.78

P(B) = 0.65

P(A\ u\ B) = 0.873

Required

Determine P(A\ n\ B)

From laws of probability, we have:

P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)

Substitute in values

P(A\ n\ B) = 0.78 + 0.65 - 0.873

P(A\ n\ B) = 0.557

Hence, P(A\ n\ B)<em> is calculated to be 0.557</em>

8 0
2 years ago
Simplify the expression. <br><br> -1/2 + 1/6
sukhopar [10]
-1/2 = -3/6

-3/6 + 1/6 = -2/6

-2/6 = -1/3

-1/3 is your answer

hope this helps
8 0
3 years ago
HELP HELP HELP HELP PLEASEEE
Sphinxa [80]

The valid probability distributions are the ones in options C and D.

<h3>Which of the following are valid probability distributions?</h3>

For discrete random variables with probabilities p₁, p₂, ..., pₙ, there are two rules:

  • All of these probabilities are numbers between 0 and 1.
  • p₁ + p₂ + ... + pₙ = 1.

So, for the first rule we can discard the first option, where we have negative probabilities.

To check the other 4 options, just add the probabilities and see if the addition gives 1.

The options that add up to 1 are C and D, so these two are the correct options.

D: 1/5 + 1/10 + 1/10 + 1/10 + 1/5 + 1/10 + 1/10 + 1/10 = 1

C: 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

3 0
1 year ago
NEED THE ANSWER ASAP
quester [9]
Not 100% sure this is right but
60cm^2
8 0
3 years ago
Read 2 more answers
Evaluate the following integral in cylindrical coordinates triple integral 1/(1+x^2+y^2) dzdxdy z=0..2 y=0..square root(1-x^2) x
sertanlavr [38]

In cylindrical coordinates, we take

x=r\cos\theta

y=r\sin\theta

z=z

so that \mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz.

We have

1+x^2+y^2=1+r^2

and the integral is

\displaystyle\int_0^2\int_0^\pi\int_0^1\frac r{1+r^2}\,\mathrm dr\,\mathrm d\theta\,\mathrm dz=\frac{\ln2}2\int_0^2\int_0^\pi\mathrm d\theta\,\mathrm dz=\boxed{\pi\ln2}

8 0
3 years ago
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