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natta225 [31]
3 years ago
14

Pythagorean theorem: find the perimeter

Mathematics
1 answer:
denis-greek [22]3 years ago
3 0
The answer is 5
Explanation:
We need to use the Pythagorean,
a^2 + b^2 = c^2
Where c is the hypotenuse
We can fill in spots now 12^2 + b^2 = 13^2
And then we solve 144 + b^2 = 169
Next we get b^2 alone
169-144=25
So we get b^2=25
For the final step you have to find the square root of 25 to get b alone which is 5
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The value of y varies directly with x, and y = 5 when x = -20. Find y when x = 35.
Margarita [4]

Answer:

Step-by-step explanation:

If y= -5 when x= -20  that means x is 4 times y

y=  8.75  when x= 35

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3 years ago
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A sample of bacteria is decaying according to a half-life model. If the sample begins with 700 bacteria, and after 10 minutes th
Papessa [141]

Answer:

18 minutes

Step-by-step explanation:

A = A₀ (½)^(t / T)

where A is the final amount,

A₀ is the initial amount,

t is the time,

and T is the half life.

A = 140 when t = 10.  Solve for the half life:

140 = 700 (½)^(10 / T)

0.2 = ½^(10 / T)

log 0.2 = (10 / T) log 0.5

10 / T = 2.32

T = 4.31

When A = 40, t is:

40 = 700 (½)^(t / 4.31)

0.057 = ½^(t / 4.31)

log 0.057 = (t / 4.31) log 0.5

t / 4.31 = 4.13

t = 17.8

Rounded to the nearest whole number, it takes 18 minutes.

4 0
4 years ago
The Northwest Football team drove 25 mi of their 3-hour trip to San Angelo for their game. They used 1.7 gal of gasoline. What a
gayaneshka [121]

Some of the rates that can be formed are; Speed = 8.333 mph

Number of miles covered per gallon of gasoline used = 14.706 mpg

The number of gallons used per hour = 0.567 gallons per hour

<h3>How to use units conversion?</h3>

We are told that the Northwest Football team drove 25 miles.

Now, the time that this team took was 3 hours.

Thus, one rate that can be formed is the speed in mi/hr. Thus;

Speed = 25/3 = 8.333 mph

Another rate that can be found is the number of miles covered per gallon of gasoline used. This gives us;

25/1.7 = 14.706 mpg

Another rate that can be gotten is the number of gallons used per hour;

= 1.7/3 = 0.567 gallons per hour

Read more about Units Conversion at; brainly.com/question/141163

#SPJ1

8 0
2 years ago
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A straight angle has four angles. angle 1=39º, angle 2=54º, angle 3=48º, what is the measure of angle 4 ?
Ludmilka [50]

Answer:

39 degrees

Step-by-step explanation:

Add: 39+54+48=141

180 (degrees of a straight angle) minus 141=39

39 degrees

Hope I helped!! :)

Brainliest?!?!

Stay safe and have a good day/night/afternoon!!!

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3 years ago
Which statistic is a measure of how data are dispersed in a population and can be used to give context to larger data sets
OLEGan [10]

Answer:

standard deviation

Step-by-step explanation:

The standard deviation is defined as the measure of how spread out the numbers are in a given population. In other words, statistics refers to the amount of the dispersion or variation of a set of given values.

It is denoted by the Greek letter sigma, σ.

Thus the standard deviation is the measure of how dispersed the data are in the population which can be used to provide context to a larger data sets.

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