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True [87]
2 years ago
14

A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm. What is th

e approximate area of the triangle? Round to the nearest tenth. Area of a triangle = bh 68.7 cm2 161.7 cm2 381.3 cm2 450.0 cm2
Mathematics
2 answers:
Nikitich [7]2 years ago
7 0

Answer:

Option B is the correct answer.

Step-by-step explanation:

We have one side = 27.6 cm

Hypotenuse = 30 cm

Length of remaining side =\sqrt{30^2-27.6^2}=11.76cm

Area of right angled triangle =\frac{1}{2}\times \texttt{Product of lengths of 2 sides other than hypotenuse}

Area =\frac{1}{2}\times 27.6\times 11.76=161.7cm^2

Option B is the correct answer.

Zigmanuir [339]2 years ago
4 0
It A ( 68.7 cm<span>2 ) hope that help guys</span>

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Ravi is driving 440 miles to visit his grandma.
Nesterboy [21]

Answer:

You would use the formula: Rate = distance / time which equals 55

Since we are asked for the time it takes to reach 3/4 the destination.We just use 3/4 of the value of the distance.

55 = (3/4)(440) / t

t = 6 hours

So the answer would be "C"



8 0
1 year ago
At a financial institution, a fraud detection system identifies suspicious transactions and sends them to a specialist for revie
labwork [276]

Answer:

a. E(X) = 54.4

b. E(X) = 2.5

c. P(Y=2) = .0116

Step-by-step explanation:

a.

    E(X) = np = .40 probability * 136 trials = 54.4 blocked transmissions

    To get the expected value, we simply multiply probability times number of trials. You can look at it in simple terms by thinking if there's a 50% chance of flipping heads and you flip a coin twice, in an ideal world you will have .5*2 = 1 head.

b.

    i. Let X represent the number of suspicious transmissions reviewed until finding the first blocked one. We will use a geometric distribution to model the "first" transmission. Whenever we're looking for the "first" time something happens, we use geometric.

   ii. E(X) = 1/p , according to the geometric model.

              = 1/.4 = 2.5.

       We expect that the specialist will review 2.5 suspicious transactions <em>on average </em>before finding the first transmission that will be blocked.

c.

    i. Let Y represent the exact number of blocked transmissions out of 10. We will use a binomial distribution to model the "fixed" number of transmissions. Whenever we're looking for a "fixed" number of times something happens, we use binomial.

    ii. P(Y=k) = (n choose k)(p^k)(q^n-k)

        P(Y=2) = (¹⁰₂)(.4^2)(.6^10-2)

                    = 45 (.4^2)(.6^10-2) = .0016

        As for calculator notation, the n choose k can be accessed on a TI-84 via MATH -> PRB -> nCr. It looks like 10 nCr 2 on the display.

        Hence the probability that two transactions out of ten will be blocked is .0016 by the binomial model.

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2 years ago
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I am going to assume that "v" is meant to be a "y"
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Answer:

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Step-by-step explanation:

In Mathematics, the set of numbers are arranged in two ways. It means that the numbers can be arranged either in ascending order or descending order. If the numbers are arranged from the least to the greatest, then it is called ascending order. In this form, the numbers are in increasing order. The first number should be lesser than the second number.

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Standard Form

<em>The standard form to represent the least to the greatest arrangement </em>of numbers is given by:

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Here,  

a, b, c, d represent the numbers

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