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2 years ago

Which set of numbers could represent the lengths of the sides of a right triangle?

Mathematics

1 answer:

Degger [83]2 years ago

8 0

Answer:

3,4,5

Step-by-step explanation:

Here, we want to select the set that could work and the sides of a right angled triangle

the correct answer is 3,4,5

These set are called a Pythagorean triple

This is because adding the square of the two smaller number will give the square of the largest number

What we are saying here is that by adding the square of 3 and 4, we get the square of 5 which illustrates that Pythagoras theorem works for the set

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The value of a car is depreciating at a rate of 5% per year. In 2010, the car was worth $32,000. Find the value of the car in 20

PSYCHO15rus [73]

Data:

Depreciating: The value decrease

Rate: 5% per year

2010: $32,000

2013: $?

Step 1: As depreciating means decrease, the value of the car is decaying

Step 2 and step 3: You use the formula below to find the value of the car after 3 years (as the value is decaying the rate in the formula is substracting)

Final value: F

Principal value: P=32000

rate: r=5

Time in years: n=3 (2013-2010=3)

$\begin{gathered} F=P(1-\frac{r}{100})^n \\ \\ F=32000(1-\frac{5}{100})^3 \\ \\ F=32000(0.95)^3 \\ \\ F=27436 \end{gathered}$

In 2013 the value of the car is $27,436

8 0

1 year ago

The equation (x - h)^2 + (y - k)^2 = r^2? defines a circle with radius r and center (h, k). Find the center and radius AND graph

bazaltina [42]

9514 1404 393

Answer:

center: (1, -3)
radius: 5

Step-by-step explanation:

Comparing the two given equations, we see ...

h = 1

k = -3

r = √25 = 5

The center is (1, -3), and the radius is 5.

3 0

3 years ago

Stan is a running back on the local football team. During the last game, Stan carried the ball on back-to-back plays. The first

Lelechka [254]

Stan's net yardage was
+32 -6 = 26 . . . . yards

5 0

3 years ago

Read 2 more answers

A pebble drops from a balcony that is 160 feet above the ground. The pebble lands on the top of a sign that is 16 feet high. The

MA_775_DIABLO [31]

Answer:

3 seconds

Step-by-step explanation:

16 = 160 - 16t²

16t² = 144

t² = 9

t = 3

7 0

3 years ago

If ƒ(x) = x − 4 and g(x) = 3x + 5, find (ƒ + g)(x).

siniylev [52]

Answer:

$(f+g)(x)=4x+1$

Step-by-step explanation:

We are given the two functions:

$f(x)=x-4\text{ and } g(x)=3x+5$

And we want to find:

$(f+g)(x)$

This is equivalent to:

$=f(x)+g(x)$

By substitution:

$=(x-4)+(3x+5)$

Rearranging yields:

$=(x+3x)+(-4+5)$

Combine like terms:

$=4x+1$

Hence:

$(f+g)(x)=4x+1$

7 0

3 years ago

Read 2 more answers