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3 years ago

The lengths of a triangle are consecutive odd numbers The perimeter is 87 cm what is the length of the longest side

2 answers:

Nadusha1986 [10]3 years ago

7 0

3 consecutive odd numbers....x, x + 2, x + 4

P = a + b + c
87 = x + x + 2 + x + 4
87 = 3x + 6
87 - 6 = 3x
81 = 3x
27 = x

x + 2 = 27 + 2 = 29
x + 4 = 27 + 4 = 31

ur 3 sides are 27,29,31...with 31 being the longest

enot [183]3 years ago

3 0

X + (x+2) + (x+4) = 87

3x = 81 -> x = 27

So the longest will be 27 + 4 = 31

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A large community college has professors and lecturers. the total number of faculty is 136. The school reported that they have 6

ipn [44]

Let's come up with an equation for the numbers. We know that there are 136 faculty members, and there are 6 professors for every 11 lecturers. The equation could look something like this:

(6 * x) + (11 * x) = 136.

First, combine like terms:

6x + 11x = 136
17x = 136

Now, divide both sides by 17.

17x/17 = 136/17
x = 8.

Now, to check, plug in 8 for x in our equation:

(6 * 8) + (11 * 8) = 136
48 + (11 * 8) = 136
48 + 88 = 136

So to answer the question, they have 48 professors! :)

8 0

4 years ago

It has been conjecture by the U.S. Census Bureau that "approximately 60% of foreign-born people who live in the U.S. are not nat

Rudiy27

Answer:

b. 42 people

Step-by-step explanation:

For each foreigner living in the U.S., there are only two possible outcomes. Either they are naturalized citizens, or they are not. The probability of a foreigner living in the U.S. not being a naturalized citizen is independent from other foreigners living in the U.S. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

"approximately 60% of foreign-born people who live in the U.S. are not naturalized citizens"

This means that $p = 0.6$

70 foreign-born people who live in the U.S

This means that $n = 70$

How many people would you expect to get that are not naturalized citizens?

$E(X) = np = 70*0.6 = 42$

So the correct answer is:

b. 42 people

8 0

3 years ago

A town plans to put a triangular garden in the town square. The base of the garden will be 9 m, and the height will be 16 m.

Alchen [17]

Its 72 m2 im sure hope this helps

4 0

3 years ago

Read 2 more answers

Enzo is building a dog run that measures 10 feet by 9 feet. How many feet of fencing does he need to fence in the area?

iragen [17]

Answer:

90ft

Step-by-step explanation:

A=L*w

7 0

3 years ago

A rubber ball has a radius of about 2.86 in. Can the ball be packaged in a box shaped like a cube with a volume of 125 in3?

Vlada [557]

Answer:

I am not sure what the values needed to add in / etc, but here is the height of the box: 5

Step-by-step explanation:

A cube is a kind of rectangle where all the sides are the same. So to find volume, cube the length of any side. To find height, calculate the cube root of a cube's volume. For this example, the cube has a volume of 125. The cube root of 125 is 5. The height of the cube is 5.

(hopefully this is correct, have a nice day!)

6 0

3 years ago