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mr Goodwill [35]
3 years ago
10

Determine whether a triangle with sides .20 inches 48 inches and 52 inches long is a right triangle. Justify your answer.

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0
To find out whether or not a triangle is a right triangle, you have to figure out whether or not it satisfies the Pythagorean Theorem.

The Pythagorean Theorem says that the sum of the squares of the side lengths, represented by variables a and b, must equal the square of the hypotenuse, represented by c. 

a² + b² = c²

20² + 48² = 52²

400 + 2304 = 2704

2704 = 2704

When we plug in the side lengths and simplify the Theorem, it results in a true statement, so we can conclude that yes, the triangle is a right triangle.
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Skew lines a and b represent Donna's and Charlie's paths as they simultaneously walk on the first and second level of a shopping
vlabodo [156]

Answer: They cannot meet because two skew lines do not intersect each other.


Explanation:


Skew lines is a concept used in geometry to define lines that do not intersect each other but are not parallel.


In this case, the lines are not parallel because they lie in different planes, which in turn, do not intersect each other.


Therefore, runing the lnes in different planes and in different directions, they cannot not, in spite of not being parallel, intersect each other, which is called that the lines are skewed.


Donna's and Charlie's paths are an exelent illustration of what skew lines are: since Donna's and Charlie are in different levels, as long as each remains in parallel levels, their paths wiil not meet each other.


8 0
3 years ago
3l of ice cream is 10$ 4l of ice cream is 12% which is the better choice​
Korolek [52]

Answer:

4l of icecream

Step-by-step explanation:

10÷3=3.33

12÷4=3

3 0
2 years ago
-9x^5 + 36x^4 + 189x^3 in factored form
Alex73 [517]

Answer:

-9x^5(x+3)(x-7)

Step-by-step explanation:

factor out -9x^3 from the expression

8 0
3 years ago
Y=-5over4x+7 what is the slope pf a line parallel to this line? What is the slope of a line perpendicular?
quester [9]
You question isn't clear, but I assume that you are asking for the slop of a line parallel to y=-(5/4)(x)+7.
The line parallel would have a slop of -5/7 and the line perpendicular would have a slop of 5/7. 
The difference between the two answers is the sign of the two slopes, one is positive the other is negative

4 0
3 years ago
On Novermber 27, 1993, the New York times reported that wildlife biologists have found a direct ink between the increase in the
Korolek [52]

Answer:

a.  1 263 888

b. 130 701

c. 72 years

Step-by-step explanation:

a. The differential equation applies here.

Let the quantity increase for a certain time be given by Q(t)

Every unity of time, the quantity increases by 1+\frac{r}{100} so that after the time t, the quantity remaining will be given by:

Q(t) = (1+ \frac{r}{100} )^{t}

In a similar manner, the quantity R(t) decreases at a rate given by the following expression:

1-\frac{r}{100} and after the time , t the quantity of R remaining will be given by:

R(t) = (1-\frac{r}{100} )^{t}

a. To find the population of humans in 1953

Q(t) = (1+ \frac{r}{100} )^{t}

1993 - 1953 = 40 years = t

Q(40) = Q×1.06^{40}

Q = 1 263 888.44

    ≈ 1 263 888

b. For bear population in 1993:

R(t) = (1-\frac{r}{100} )^{t}

t = 40

R(40) = b 0.94^{40} = 11 000

b = 130 700. 889

    ≈130 701

c. time taken for black bear population number less than 100 is given by:

130 = 11000×0.94^{t}

solving using natural logarithms gives t = 72.72666

                                                                  =   72 years Ans

8 0
3 years ago
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