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goldfiish [28.3K]
2 years ago
9

Jack and Andrea want to create a right triangle together using values of x and y and the polynomial identity to generate Pythago

rean triples. If Andrea picks a value of x = 2, and the hypotenuse of the resulting right triangle is 5, what natural number value of y did Jack pick? y = 1 y = 2 y = 3 y = 4
Mathematics
2 answers:
leva [86]2 years ago
6 0

A right triangle can be considered as a special type because the relationship of its sides can be described using the hypotenuse formula:

c^2 = a^2 + b^2

or

c^2 = x^2 + y^2

where,

c is the hypotenuse of the triangle and is the side opposite to the 90° angle

while a and b are the sides adjacent to the 90° angle

 

In the problem statement, we are given that one of the side has a measure of 2 = x, while the hypotenuse is 5 = c, therefore calculating for y:

y^2 = c^2 – x^2

y^2 = 5^2 – 2^2

y^2 = 21

y = 4.58

 

The natural number is the number before the decimal. Therefore the answer is:

y = 4

Rina8888 [55]2 years ago
6 0

Answer:

The answer to this is y=1

hope this helps :D


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g(x) = -8x + 48

4 0
1 year ago
A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller. Which call will be the f
Ymorist [56]

Answer:

120th caller

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

$100 bill = 30th caller

Movie tickets = 40th caller

So, to find out first to win both prizes, we will use LCM method,

LCM of 30 and 40 =       10 | 30 , 40

                                            | 3    , 4

LCM of 30 and 40 = 10 × 3 × 4 = 120

Hence, 120th caller will be the first to win both prizes.

3 0
3 years ago
Marcy determined that her father's age is the quotient of her age and 5, increased by 10. If x represents Marcy's age, write an
Hoochie [10]

Answer:

x / 5 + 10 or

Step-by-step explanation:

4 0
2 years ago
Tom buys a boat from a friend, and will pay his friend the same amount of money each year until the boat is paid for. The follow
Dmitry_Shevchenko [17]

The graph of amount Tom owes his friend after a given time, <em>t</em>, is a straight line graph with a negative slope

Please find attached the required example of a possible graph that shows the amount Tom owes his friend

Reason:

Let <em>A</em> represent the amount of money Tom buys the boat with, let <em>x</em>

represent the amount of equal payment made and <em>y</em> represents the

amount Tom owes the friend after a given time, <em>t</em>, we have;

y = A - x·t

Therefore, the slope of the graph formed is <em>-x</em>, the y-intercept of the graph

is <em>A</em>, from which the graph that gives the amount of money, in dollars, Tom

owes his friend, as a function of time, in years can be presented as follows,

using example values;

A = $25,000 (Amount the Tom agrees to buy the boat)

x = $5,000 (Amount Tom pays each year for the boat)

By plugging in the above example values, the attached graph can be drawn using MS Excel

Learn more about plotting of straight line graphs here:

brainly.com/question/11097080

6 0
2 years ago
Find the surface area of the composite solid.
Dvinal [7]

Answer:

281 ft^2

Step-by-step explanation:

We need to add each individual 2d shape together to find the surface area

Bottom: 5*12 = 60

Left side and right side: 4*5 = 20, 2 sides so 20*2= 40

Side facing us and side facing away from us: 12*4 = 48, 2 sides so 48*2=96

Top side that is cut by base of triangle: 7*5 = 35

Each triangle face: base = 5 (12-7), height = 5             1/2base * height so each triangle is .5*5*5 = 12.5; 4 triangles so 12.5*4=50

60+40+96+35+50=281

4 0
2 years ago
Read 2 more answers
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