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olga2289 [7]
2 years ago
13

Determine if a triangle can have the given side lengths. If yes, which type of triangle is formed by the side lengths. Choose th

e correct answer for both rows of the table. HELP GODDD PLZ PLZ PLZ HELP

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
3 0

Answer:

B and H.

Step-by-step explanation:

By the triangle inequality, any two sides of a triangle must be greater than the remaining side.

Triangle 1)

The side lengths are 9, 40, and 41.

We only need to check the two smaller sides. 9 + 40 = 49 which is indeed greater than 41. Therefore, this is indeed a triangle.

Remember that if:

c^2=a^2+b^2

We have a right triangle.

c^2>a^2+b^2

We have an obtuse triangle.

And if:

c^2

We have an acute triangle.

In all of these, c is the longest side.

Therefore, we will substitute 41 for c and 9 and 40 for the others:

41^2\text{ }?\text{ }40^2+9^2

Evaluate:

1681=1681

Since the two values are equivalent, the first triangle is a right triangle.

Triangle 2)

Again, adding up the two smaller sides gives that 8 + 10 = 18.

However, 18 is less than 21, so it does not satisfy the triangle inequality.

Therefore, the given side lengths cannot form a triangle.

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What is the possible rational roots for this polynomial 6x³+5x²+10x+3=0
8090 [49]

Answer:

See below.

Step-by-step explanation:

Using the Rational Roots Theorem:

Factors of 3:   1, 3  ( = p).

Factors of 6:  1,2,3,6 ( = q).

Possible real  roots are a 1 or 3 from  p / q = +/- 1/1, +/- 3/1 , +/-1/2,  +/- 1/3 , +/- 1/6, +/- 3/2.

3 0
2 years ago
Kase, an individual, purchased some property in Potomac, Maryland, for $217,000 approximately 10 years ago. Kase is approached b
Advocard [28]

The question is incomplete.

The complete question is

Kase, an individual, purchased some property in Potomac, Maryland, for $217,000 approximately 10 years ago. Kase is approached by a real estate agent representing a client who would like to exchange a parcel of land in North Carolina for Kase’s Maryland property. Kase agrees to the exchange.

What is Kase’s realized gain or loss, recognized gain or loss, and basis in the North Carolina property in each of the following alternative scenarios? (Loss amounts should be indicated by a minus sign. Leave no answer blank. Enter zero if applicable.)

a. The transaction qualifies as a like-kind exchange and the fair market value of each property is $907,500.

b. The transaction qualifies as a like-kind exchange and the fair market value of each property is $199,000.

Answer:

A. Realized gain(907500-217000)= 609,500

Recognized gain= 0

Adjustment basis in new property=217,000.

B. Realised loss ( 199000 - 217000) = 18,000

Recognized loss= 0

Adjusted basis in new property= 217000

Step-by-step explanation:

A.

Realized gain(907500-217000)= 609,500

Recognized gain= 0

Adjustment basis in new property=217,000.

Here , we find that Kase has realised gain of $ 690,500 but recognised gain of $ 0 . It is so because Kase did not receive any boot and the transaction is a like-kind exchange. Therefore, the adjusted basis in new property = $ 217,000 ( as no gain is recognised ).

B.

Realised loss ( 199000 - 217000 )= 18,000

Recognized loss= 0

Adjusted basis in new property= 217000

7 0
3 years ago
The measure of angle 3 is 42°. <br><br> What is the measure of angle 1 in degrees?
Svetradugi [14.3K]

Answer:

Angle 1 is 48°

Step-by-step explanation:

So angle 1 + angle 2 + angle 3 = 180°

Angle 2 = 90°

Angle 3 = 42°

180 - 90 - 42 =  48°

3 0
2 years ago
What is the recursive rule for the sequence 2, -1, 1/2 , -1/4
Helga [31]

Answer:

a_n=\frac{-1}{2}a_{n-1}

a_1=2

Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

\frac{-1}{2}

\frac{\frac{1}{2}}{-1}

\frac{\frac{-1}{4}}{\frac{1}{2}}

They are all equal to \frac{-1}{2}.

So we are saying:

\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}

More formally:

\frac{a_n}{a_{n-1}}=\frac{-1}{2}.

Multiply both sides by a_{n-1}:

a_n=\frac{-1}{2}a_{n-1}

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

a_n=\frac{-1}{2}a_{n-1}

a_1=2

8 0
3 years ago
-5/6 and 8/3 on a number line
ki77a [65]

Answer:

I hope this helps. This is what a number line looks like and how you do it.

6 0
3 years ago
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