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liberstina [14]
3 years ago
5

Solve the following pythagorean theorem question and round to the nearest tenth if necessary. Please show all your work.

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0
90×90=8,100 (length 1) --> 120×120=14,400 (length 2) --> lengths minus eachother 14,400-8,100=6,300 --> divide by 2 6,300÷2=3,150
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$13:50 to 6 pounds what the ratio
AleksAgata [21]

Answer:

$2.25: 1 pound

Step-by-step explanation:

13.50 divided by 6= 2.25

6 divided by 6= 1

5 0
3 years ago
Given the function g(x) = x2 + 10x + 20, determine the average rate of change of
Dmitrij [34]

A function assigns the values. The average rate of change for the given function g(x) is 1.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The average rate of change of a function is given by the formula,

Average rate of change, = [f(b)-f(a)]/(b-a), [a,b]

Where a is the lower limit and b is the upper limit.

Given the upper limit for the function is 0, therefore, the value of a is 0, similarly, the value of b is -9. Thus,

a = 0

g(a) = 0²+10(0)+20 = 20

b = -9

g(b) = (-9)²+10(-9)+20 = 11

The average rate of change for the function g(x), can be written as,

\text{Average rate of change}= \dfrac{g(-9)-g(0)}{-9-0}=\dfrac{11-20}{-9} = 1

Hence, the average rate of change for the given function g(x) is 1.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

8 0
2 years ago
A drawer contains loose socks. there are 2 blue and 4 black socks in the drawers. what is the probability that you choose a sock
otez555 [7]

|\Omega|=6\cdot5=30\\|A|=4\cdot3=13\\\\P(A)=\dfrac{12}{30}=\dfrac{2}{5}=40\%

4 0
2 years ago
Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio, si avanza medio kilómetro en bus y lo demás a pie ¿
Murljashka [212]

Answer:

Al estudiante le falta caminar \frac{1}{3} de kilómetro.

Step-by-step explanation:

Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio. Dos tercios equivale a la fracción \frac{2}{3} .

El estudiante avanza medio kilómetro en bus. Un medio equivale a la fracción \frac{1}{2}, por lo tanto un medio es la mitad de una cantidad.  Para calcular la distancia recorrida en bus se realiza la siguiente multiplicación:

\frac{1}{2} *\frac{2}{3}

Resolviendo:

\frac{1}{2} *\frac{2}{3} =\frac{1*2}{2*3} =\frac{2}{6} =\frac{1}{3}

Entonces, la distancia recorrida en bus es \frac{1}{3} de kilómetro.

Para calcular la distancia recorrida a pie se calcula la diferencia entre la distancia total a recorrer por el estudiante y la distancia recorrida en bus. Esto es:

\frac{2}{3} - \frac{1}{3}

Resolviendo:

\frac{2}{3} - \frac{1}{3}=\frac{2-1}{3} =\frac{1}{3}

<u><em>Al estudiante le falta caminar </em></u>\frac{1}{3}<u><em> de kilómetro.</em></u>

6 0
3 years ago
Please i need help quick its in picture​
eduard

Answer:

Not independent

Step-by-step explanation:

The number of single bedroom apartments is 90;

The number of single occupants in that 90 is 64;

64/90 or 32/45 is the rate that a single occupant lives in a 1 bedroom apartment.

The number of multiple bedroom apartments is 110;

The number of single occupants in that 110 is 12;

12/110 or 6/55 is the rate that a single occupant lives in a multiple-bedroom apartment.

The rate of single occupants in any type of apartment is 76/200 or 19/50

32/45>19/50>6/55; since the rate of single occupants in 1 bedroom apartments is higher than the rate of single occupants living in any type of apartment and a multiple-room apartment, the event that an apartment has 1 bedroom and 1 occupant is not indepenent.

8 0
3 years ago
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