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Fiesta28 [93]
3 years ago
12

Classify the following triangle check all that apply

Mathematics
2 answers:
valentina_108 [34]3 years ago
6 0

Answer:

C. Acute.

E. Scalene

Step-by-step explanation:

We have been given a triangle with angles 51, 59 and 70 degrees. We are asked to classify the given triangle.

A. Obtuse.

Since no angle of our given triangle is greater than 90 degrees, therefore, it is not an obtuse triangle.

B. Isosceles

Since two angles of our given triangle are not equal, therefore, it is not an isosceles triangle.

C. Acute.

Since all angles of given triangle are less than 90 degrees, therefore, our given triangle is an acute triangle.

D. Equilateral.

Since all angles of given triangle are not 60 degrees, therefore, our given triangle is an equilateral triangle.

E. Scalene

Since all sides of given triangle are not equal, therefore, our given triangle is a scalene triangle.

F. Right

Our triangle has not a 90 degree angle, therefore, it is not a right triangle.

julia-pushkina [17]3 years ago
5 0
I believe the answers are C. Acute (all angles less than 90 degrees) and E. Scalene (all 3 sides different values).
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3 0
3 years ago
Consider the following.
san4es73 [151]

Answer:

Anything in the form x = pi+k*pi, for any integer k

These are not removable discontinuities.

============================================================

Explanation:

Recall that tan(x) = sin(x)/cos(x).

The discontinuities occur whenever cos(x) is equal to zero.

Solving cos(x) = 0 will yield the locations when we have discontinuities.

This all applies to tan(x), but we want to work with tan(x/2) instead.

Simply replace x with x/2 and solve for x like so

cos(x/2) = 0

x/2 = arccos(0)

x/2 = (pi/2) + 2pi*k or x/2 = (-pi/2) + 2pi*k

x = pi + 4pi*k   or    x = -pi + 4pi*k

Where k is any integer.

If we make a table of some example k values, then we'll find that we could get the following outputs:

  • x = -3pi
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and so on. These are the odd multiples of pi.

So we can effectively condense those x equations into the single equation x = pi+k*pi

That equation is the same as x = (k+1)pi

The graph is below. It shows we have jump discontinuities. These are <u>not</u> removable discontinuities (since we're not removing a single point).

3 0
3 years ago
43 ones times 3 tens = how many tens
romanna [79]
Well 43 ones times 3 tens is basically 43 times 30 which is 1,290
then divide that by ten to get how many tens and you will get 129 tens
hope this helps
3 0
3 years ago
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7 0
3 years ago
Look at the picture! Express the following set in set-builder notation ?
Alex

Answer:

A.   E={x|x\in N and x is a multiple of 8}

Step-by-step explanation:

Let x represent the set of natural numbers. Then we can write;

x\in N.

The set of all natural numbers that are multiples of 8 is then written as;

x\in N and x is a multiple of 8.

E is the set of natural numbers that are multiples of 8 can then be written in set builder notation as;

E={x|x\in N and x is a multiple of 8}

The correct choice is A

7 0
3 years ago
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