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3 years ago

Can someone please help with this I am confused about how to know which side is a and c

Mathematics

1 answer:

KonstantinChe [14]3 years ago

7 0

Answer:

b=4

Step-by-step explanation:

The side opposite the right angle is the hypotenuse. The sides touching the right angle are the legs

Since this is right triangle we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

3^2+b^2 = 5^2

9+b^2 = 25

Subtract 9 from each side

9-9+b^2 = 25-9

b^2 =16

Take the square root of each side

sqrt(b^2) = sqrt(16)

b=4

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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, t, 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 A represent the amount of money Tom buys the boat with, let x

represent the amount of equal payment made and y represents the

amount Tom owes the friend after a given time, t, we have;

y = A - x·t

Therefore, the slope of the graph formed is -x, the y-intercept of the graph

is A, 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

Select all that apply.

dimulka [17.4K]

2x 2 - 6x = 0 .... if you mean 2x^2 - 6x = 0
then 2x = 0 and x - 3 = 0 << answer

3 0

3 years ago

PLEASE HELP!! just look at the picture

arlik [135]

Answer:

its the math that solve

Step-by-step explanation:

4 0

3 years ago

Where is each answer

storchak [24]

Answer:

1.(D)

2.(A)

3.(C)

4.(B)

4 0

3 years ago

Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the

Paha777 [63]

Answer:

The answer is Tonya's phone had the greater initial trade-in value.

Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.

Step-by-step explanation:

Given

Tonya

$f(x) = 490 * 0.88^x$

Leo

$x \to g(x)$

$0 \to 480$

$2 \to 360$

$4 \to 470$

Solving (a): The phone with greater initial value

The initial value is when x = 0. So, we have:

$f(x) = 490 * 0.88^x$

$f(0) = 490 * 0.88^0$

$f(0) = 490 * 1$

$f(0) = 490$

From Leo's table

$g(0) = 480$

By comparison;

$f(0) > g(0)$

i.e.

$490 > 480$

So: Tonya's had the greater initial trade-in value

Solving (b): The phone with lesser rate

An exponential function is:

$y = ab^x$

Where:

$b \to rate$

For Tonya

$b = 0.88$

For Leo, we have:

$(x_1,y_1) = (0,480)$

$(x_2,y_2) = (2,360)$

So, the equation becomes:

$y = ab^x$

$480 = ab^0$ and $360 = ab^2$

Solving $480 = ab^0$ , we have:

$480 = a * 1$

$480 = a$

$a= 480$

$360 = ab^2$ becomes

$360 = 480 * b^2$

Divide both sides by 480

$0.75 = b^2$

Take square roots

$0.87 = b$

$b=0.87$ -- Leo's rate

By comparison; Leo's rate is slower i.e. 0.87 < 0.88

6 0

2 years ago