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Simora [160]
3 years ago
8

A triangle has side lengths 1.5 cm, 2 cm, and 3 cm. Is this a right triangle? Explain.

Mathematics
1 answer:
Alisiya [41]3 years ago
8 0

Answer:

No

Step-by-step explanation:

To figure out whether a triangle is a right triangle using only the side lengths, you can use the Pythagorean theorem:

a^2 + b^2 = c^2

1.5^2 + 2^2 = 3^2

2.25 + 4 = 9

Since this equation isn't true, these numbers cannot be the side lengths of a right triangle.

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B(n)=1 (-2)^n-1<br> What is the 4th term in the sequence
zzz [600]

Answer:

The fourth term of the sequence B(4) =-8

The sequence is 1,-2,4,-8...

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the sequence

     B(n) = 1(-2)ⁿ⁻¹

Put n=1

    B(1) = 1(-2)¹⁻¹ = 2⁰ =1

Put n=2

   B(2) = 1(-2)²⁻¹ = (-2)¹ =-2

Put n=3

  B(3) =1(-2)³⁻¹ = (-2)² =4

Put n=4

B(4) = 1(-2)⁴⁻¹ =(-2)³ =-8

The sequence

1,-2,4,-8...

5 0
3 years ago
Elizabeth’s aunt started a college savings account for her with $6,000. What is the balance of the account after 5 years if the
vaieri [72.5K]

Answer:

6750

Step-by-step explanation:

simple interest = P×r%×t

P = $6000

r = 2.5%

t = 5 years

I = 6000 × 2.5/100 × 5

= 750

6000 + 750 = $6750

7 0
2 years ago
A local carpet company has been hired to carpet a planetarium which is in the shape of a circle. If the radius of the planetariu
lapo4ka [179]
This is the concept of application of geometry and financial mathematics; To calculate for the total cost of the carpet we proceed as follows;
Total cost=[area of the carpet]*[price per square yard]
area of carpet is given by:
Area=πr^2
where;
radius,r=6 yeards
=π*6^2
=113.1 square yards
therefore the price of the carpet will be:
113.1*14
=$1,583.4
5 0
3 years ago
The midpoint of K is M(-3, -1). One endpoint is J(-12, -11). What are the coordinates of endpoint K?
Over [174]

Answer: 2 times sqrt(181) (approximately 26.9)

Step-by-step explanation:

First, we can plot these points on a graph. Then, we’ll use the Distance Formula to calculate the distance between the two points, which is sqrt(181).


Since the problem tells us that one of our coordinates is the midpoint of K, we know that the length of the segment we just calculated is 1/2 of K. We can multiply our answer to get that K is 2 times sqrt(181).

7 0
1 year ago
Read 2 more answers
The following statement is an example of: every fall there have been hurricanes in the tropics. Therefore, there will be hurrica
Aneli [31]

Answer:

Deductive reasoning

Step-by-step explanation:

Here, we want to know the kind of reasoning the statement is.

In this question, the kind of reasoning is deductive

In the deductive reasoning type, we go from general cases to specific cases

It is just like saying the reason why there will be hurricanes in the tropics this fall is because there is an hurricane every fall

So we have gone from a general case to give a specific case

8 0
3 years ago
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