What is 0.176 as a fraction in simplest form

a certain triangle has a perimeter of 3067 mi. the shortest side measures 71 mi less than the middle side and the longest side m

UkoKoshka [18]

Answer:

The measure of the shortest side is 851 miles

Step-by-step explanation:

Let

x ----> the measure of the shortest side

y ---> the measure of the middle side

z ---> the measure of the longest side

we know that

The perimeter of triangle is equal to

$P=x+y+z$

$P=3,067\ mi$

so

$3,067=x+y+z$ ----> equation A

the shortest side measures 71 mi less than the middle side

so

$x=y-71$ ----> equation B

the longest side measures 372 mi more the the middle side

so

$z=y+372$ ----> equation C

substitute equation B and equation C in equation A

$3,067=(y-71)+y+(y+372)$

solve for y

$3,067=3y+301\\3y=2,766\\y=922$

Find the value of x

$x=y-71\\x=922-71\\x=851$

therefore

The measure of the shortest side is 851 miles

6 0

2 years ago

Determine 18th shape in the pattern

Gnoma [55]

I need the pic so I can tell

6 0

3 years ago

Read 2 more answers

Is the mean age at which American children learn to walk less than 15 months? A study of 40 American children found a mean walki

Sonbull [250]

Answer:

We define the random variable X as the walking age and we are interested if American children learn to walk less than 15 months so then that would be the alternative hypothesis and the complement would be the null hypothesis.

Null hypothesis: $\mu \geq 15$

Alternative hypothesis: $\mu$

And for this case the best answer would be:

H 0 : μ ≥ 15 vs. Ha : μ < 15

Step-by-step explanation:

We define the random variable X as the walking age and we are interested if American children learn to walk less than 15 months so then that would be the alternative hypothesis and the complement would be the null hypothesis.

Null hypothesis: $\mu \geq 15$

Alternative hypothesis: $\mu$

And for this case the best answer would be:

H 0 : μ ≥ 15 vs. Ha : μ < 15

And the data given from the sample is:

$\bar X = 13.2$ represent the sample mean

$\sigma$ represent the population deviation

$n = 40$ represent the sample size

And the statistic would be given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

8 0

3 years ago

The current in a simple electric circuit varies inversely as the resistance. If the current is 20amps when the resistance is 5 o

IrinaVladis [17]

Answer:

0.5amps

Step-by-step explanation:

I is inversely proportional to resistance

I = k/R

k = I/ R

k = 20/5

k = 4

This means that, I = 4/R

So, when R = 8ohms,

I = 4/8

=0.5amps

3 0

3 years ago

Which of the following quadratic equations has the solution set {1/2,5}? select all that apply.

Pie

The answer are B, D and F.

If you solve for x for B, D and F, you'll get (1/2,5)

5 0

3 years ago