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2 years ago

Math!! The answer is c. I think but can somebody explain the steps that would got me c. I need it.

Mathematics

1 answer:

allochka39001 [22]2 years ago

4 0

9514 1404 393

Answer:

Use the Pythagorean theorem: (5/8)^2 +(3/2)^2 = (13/8)^2 ⇒ right triangle

Step-by-step explanation:

Check to see if the numbers satisfy the Pythagorean theorem.

(5/8)^2 + (3/2)^2 = (13/8)^2

25/64 + 9/4 = 169/64

25/65 +144/64 = 169/64 . . . . . . . true. The triangle is a right triangle.

If a, b, c represent the lengths of the sides, least to greatest, then ...

a^2 + b^2 > c^2 . . . . acute triangle

a^2 + b^2 = c^2 . . . . right triangle

a^2 + b^2 < c^2 . . . . obtuse triangle

_____

<em>Additional comment</em>

A triple of integers that satisfy the Pythagorean theorem (form a right triangle) is called a "Pythagorean triple." One you see often, and that has the special property that it is <em>the only triple that is an arithmetic sequence</em> is (3, 4, 5). A couple of other common ones are (5, 12, 13) and (7, 24, 25).

Any of these can be scaled by a common factor to make sides of a right triangle. Here, we have (5, 12, 13) scaled by a factor of 1/8 to make (5/8, 12/8, 13/8) = (5/8, 3/2, 13/8) — the numbers in the problem statement.

If you're aware of these common triples, you can check to see if they are being used in any right-triangle problem you may run across. Recognizing that one of these applies can save you the effort of working out the squares and/or root that would otherwise be involved.

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2 years ago

Question

dezoksy [38]

Answer:

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3 years ago

A car travels at an average speed of 52 miles per hour. How long does it take to travel 299 miles

drek231 [11]

The answer should be 299/52=almost 6 hours.

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3 years ago

Cards. A deck of 52 cards is shuffled and dealt. Find the probabilities of the following events: a) the tenth card is a queen; b

Veronika [31]

Answer:

0.0374
0.0010

Step-by-step explanation:

number of cards = 52

number of queen = 4

number of spades = 13

A) probability that the tenth card is a queen

drawn time (r) = 1

position of success(x) = 10th

p = 4/52

P( x,r,p) = $x-1Cr-1*p^(r) * q^(x-r)$

p(10,1,4/52) = 9C0(4/52)^1 * (48/52)^9 = 0.0374

B) probability the twentieth card is a spade

x = 20

r = 1

p = 13 / 52

P(20,1,26/52) = 19C0(26/52)^1 * (26/52)^19 = 0.0010

c) The last five cards been spades

p(last five cards been spades )

p(48..52, 5, 13/52 ) = 47...52C4(13/52)^5 * (39/52)^48..52 - 5

4 0

3 years ago

Radioactive Waste The rate at which radioactive waste is entering the atmosphere at time t is decreasing and is given by Pe^-kt,

Dmitry_Shevchenko [17]

Answer:

$\displaystyle{\int^{\infty}_0 {50e^{-0.04t}}\, dt}=1250$

Step-by-step explanation:

Given:

$T =\displaystyle{\int^{\infty}_0 {Pe^{-kt}} \, dt}$

where,

T = total amount of waste

P = 50, the initial rate

k = 0.04

t = time

$T =\displaystyle{\int^{\infty}_0 {50e^{-0.04t}} \, dt}$

now we need to solve this integral!

$T =\displaystyle{50\int^{\infty}_0 {e^{-0.04t}} \, dt}$

$T = \left|50\left(\dfrac{e^{-0.04t}}{-0.04}\right)\right|^{\infty}_0$

$T = \left|-1250e^{-0.04t}\right|^{\infty}_0$

$T = (-1250e^{-0.04(\infty)})-(-1250e^{-0.04(0)})$

when any number has a power of negative infinity it is 0. because: $a^-{\infty} = \dfrac{1}{a^{\infty}} = \dfrac{1}{\infty} = 0$ , like something being divided by a very large number!

$T = (-1250(0))-(-1250e^0)$

$T = 1250$

this is the total amount of waste

6 0

2 years ago