MATHEMATICS COLLEGE

Which of the following sentences describes an equilateral triangle?A:
Two sides are the same length.

B:
Each angle is less than 90 degrees.

C:
One of the angles equals 90 degrees.

D:
The lengths of all three sides are the same.

Answers

Answer 1
Answer: D is the answer “The lengths of all three sides are the same

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I need help please helpp

Is the Mean Value Theorem applicable to the function f(x) = |x - 1| on the interval [0, 2]?Why or why not?

Answers

The only point that derivative of the function f(x) = |x - 1| is not continuous is at x = 0. You need to check whether the slope for the interval (0,2) is continuous to see if you can apply MVT. The interval (0,2) does not include end points, so 0 is not in this interval. The function is continuous over the interval, so MVT can be applied.

Why is 8 thousandths + 6 ones 8 thousandths = 76?

Answers

Answer:

8 thousandths + 6 ones 8 thousandths = 6016 thousandths

Step-by-step explanation:

Answer:

I think it is 16006

Step-by-step explanation:

this because 8 thousands=8000

+

8000+6=8006

soooo,

8000+8006=16006 is the answer

hope you find it useful

Find a counterexample: Two sides of atriangle can never have the same length (You
may explain in a phrase).

Answers

Answer: Any isosceles triangle is a counter example. More specifically, a triangle with sides 7, 7 and 3

When forming your triangle, make sure you apply the triangle inequality theorem. This is the idea where adding any two sides leads to a result larger than the third side. So we have

7+7 = 14 which is larger than 3

7+3 = 10 which is larger than 7

By definition, an isosceles triangle has two congruent sides. Some books say "at least 2 congruent sides", but I'll go with the first definition. If you want all three sides to be congruent, then you'd go for the term "equilateral".

Western Company allocates $10 overhead to products based on the number of machine hours used. The company uses a plantwide overhead rate with machine hours as the allocation base. Given the amounts below, how many machine hours does the company expect in department 2?

Answers

Answer:

Your question needs more data, however; See a complete question and see how it is answered for your guidance.

Step-by-step explanation:

Total estimated machine hours

= Total manufacturing overhead / Plantwide predetermined overhead rate

= ( 255000 + 155000 ) / 10.00

= 41000 MH

Machine hours expected in Department 2

= Total estimated machine hours - Machine hours of Department 1

= 41000 - 15500

= 25500 MH

We have 30 miles of fencing which can be used to enclose a rectangular piece of grazing land along a straight portion of a river. No fence is required along the river. The grazing land will be subdivided into two sections by means of a fence parallel to the sides and perpendicular to the river. Write a function that expresses the total area in terms of the width x of the side of the grazing area perpendicular to the straight river.

Answers

Answer:

The area of the gazing land is \frac{30x-x^2}2square miles.

Step-by-step explanation:

Given that, 30 miles of fencing can be used to enclose a rectangular piece of grazing land along a straight piece of river.

Let the length of the rectangular piece of gazing which is along the river be y and the width of the  rectangular piece of gazing be x.

Along the river side, no fence is required.

Therefore total length of fence is = 2(x+y)-x

                                                        =2y+x

∴2y+x=30

⇒2y=30-x

\Rightarrow y=(30-x)/(2)

The area of the rectangular piece of gazing is = Length×width

                                                                              =xy

                                                                              =x.\frac{30-x}2

                                                                              =\frac{30x-x^2}2square miles.

There are 9 applicants for 3 jobs: software engineer, computer programmer, and systems manager. Which statement best describes this situation?A.
There are 9P3 = 504 ways the positions can be filled because the order in which the applicants are chosen doesn’t matter.
B.
There are 9C3 = 84 ways the positions can be filled because the order in which the applicants are chosen doesn’t matter.
C.
There are 9P3 = 504 ways the positions can be filled because the order in which the applicants are chosen matters.
D.
There are 9C3 = 84 ways the positions can be filled because the order in which the applicants are chosen matters.

Answers

The situation which is best described there is 9P3 = 504 ways the positions can be filled with order matters so option (C) will be correct.

What are permutation and combination?

Combination and permutation are two alternative strategies in mathematics to break up a collection of components into groups. This subset's components can be listed in any order when concatenated. The components of the subgroup are listed in a permutation in a particular order.

npr = factorial n/ factorial (n -r)

Given that,

Number of applicants = 9

Number of jobs = 3

Since the jobs are certain to the applicant so the order will matter.

Numberof ways to choose 3 people among 9 jobs

9p3 = factorial 9/factorial (9 -3)

9p3 = 9 × 8 × 7 × factorial 6/factorial 6

9p3 = 504

So there will be a total of 504 ways to feel the position such that order will also matter.

To learn more about  permutation and combination

brainly.com/question/13387529

#SPJ2

Answer:

the correct answer is C

Step-by-step explanation:

; )

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