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2 years ago

Which of the following measurements could be the side lengths of a right triangle?

Mathematics

1 answer:

eimsori [14]2 years ago

5 0

Answer:
14, 48, 50

Step-by-step explanation:

1. 14^2 + 48^2 = 50^2

2. 196 + 2304 = 2500

3. 2500 = 2500

You might be interested in

Find all missing angles

AleksandrR [38]

Answer:

a = 145

b = 35

c = 145

d = 70

e = 70

f = 110

g = 55

h = 125

i = 55

j = 50

k = 70

l =110

m = 50

n = 60

o = 70

p = 23

q = 89

r = 68

s = 157

t = 112

u = 48

v = 132

w = 132

x = 48

y = 48

z = 132

A = 48

B = 94

C = 86

D = 94

E = 47

F = 133

Step-by-step explanation:

I'm fairly certain these are all correct... like 82% sure

3 0

3 years ago

The radioactive isotope radium has a half-life of 1,600 years. The mass of a 100-gram sample of radium will be______ grams after

Olenka [21]

To solve this we are going to use the half life equation $N(t)=N_{0} e^{( \frac{-0.693t}{t _{1/2} }) }$
Where:
$N_{0}$ is the initial sample
$t$ is the time in years
$t_{1/2}$ is the half life of the substance
$N(t)$ is the remainder quantity after $t$ years

From the problem we know that:
$N_{0} =100$
$t=200$
$t_{1/2} =1600$

Lets replace those values in our equation to find $N(t)$ :
$N(200) =100e^{( \frac{(-0.693)(200)}{1600}) }$
$N(200)=100e^{( \frac{-138.6}{1600} )}$
$N(200)=100e^{-0.086625}$
$N(200)=91.7$

We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be 91.7 grams.

8 0

3 years ago

the circumference of the circle shown below is 54 centimeters. which expression gives the length in centimeters of XY?

g100num [7]

Answer:

The correct option is C

Step-by-step explanation:

Given the circumference of circle which is 54 cm and also the measure of arc XY is 120°

we have to find the expression for arc length of XY

The arc length can be calculated by the formula

$\frac{\theta}{360}\times 2\pi r$