1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PilotLPTM [1.2K]
2 years ago
14

Let's see how good you are at math answer this question (if you think your the best)

Mathematics
1 answer:
stich3 [128]2 years ago
6 0

Answer:

Step-by-step explanation:

for the perimeter we just need the distances from point to point

P1(1,1)       (x1,y1)

P2(6,2)    (x2,y2)

P3(5,4)   (x3,y3)

P4(2,5)   (x4,y4)

from P1 to P2 is

dist = sqrt [ (x2-x1)^2 +(y2-y1)^2 ]

dist = \sqrt{26}

from P2 to P3 is

dist = sqrt [ (x3-x2)^2 +(y3-y2)^2 ]

dist = \sqrt{5}

from P3 to P4

dist = sqrt [ (x4-x3)^2 +(y4-y3)^2 ]

dist = \sqrt{10}

dist = sqrt [ (x1-x4)^2 +(y1-y4)^2 ]

dist = \sqrt{17}

Perimeter is exactly = \sqrt{26} + \sqrt{5} + \sqrt{10} + \sqrt{17}

To find the area we have to use  the non-right triangle formula of

1/2*a*b*sin(x)

if we knew the angle at P1 then we could find the area of the triangle that is made up by P1, P2 and P4

P1(1,1)       (x1,y1)

P2(6,2)    (x2,y2)

P3(5,4)   (x3,y3)

P4(2,5)   (x4,y4)

let's use that fancy slope formula to find the angle

tan(Ф) = abs [ (m1-m2)/(1+m1.m2) ]

m1 = P1P2

m1 = y2-y1 / x2-x1

m1 = 1/5 or .2

m2 = P1P4

m2 = y4-y1 / x4-x1

m2 = 4

now plug into the formula for the angle of P1

tan(Ф) = abs [(0.2 - 5) / (1+0.2*5)]

Ф = arcTan(2.4)

Ф=-67.380135°

the negative signs just means going from P1P4 to P1P2 is -67.380135° we can take it to be positive as well

now plug that angle into our area formula for a non-right triangle

1/2*a*b*sin(x)

area of triangle P1,P2,P4 =  1/2*\sqrt{26}*\sqrt{17}*sin(67.380135°)

area P1,P2,P4 = 9.703290477 units^{2}

now lets find that other triangle up at the top formed by P2, P3, P4

let's find the slope of the two legs we know the lengths of, of the part that looks a little like a "hat" on top of our 1st triangle

P1(1,1)       (x1,y1)

P2(6,2)    (x2,y2)

P3(5,4)   (x3,y3)

P4(2,5)   (x4,y4)

m3= P4P3

m3=y3-y4 / x3-x4

m3 = -1/3

m4 = P3P2

m4 = y2-y3 / x2-x3

m4 = -2/1

m4 = -2

now find the angle between them

tan(Ф) = abs [ (m3-m4)/(1+m3.m4) ]

Ф = arcTan(1)

Ф = 45°

this is the other angle on the 180 line so we have 180-45 =135 as the angle inside our triangle at P3, although, sin 135 and 45 are going to be the same.

now plug that info into our special area of a non-right triangle

area of P2P3P4 = 1/2*\sqrt{5}*\sqrt{10}*sin(135)

area of P2P3P4 = 2.5

2.5 + 9.703290477 = 12.20329048  units^{2}

area =12.20329048  units^{2}

You might be interested in
Hellllllllllpppppppppp please​
baherus [9]

Answer:

jkggkjhcghfgyhgdf

Step-by-step explanation:

5 0
3 years ago
the popilation of Detroit, Michigan was 951,300 in. Detroit has been experiencing a population decile of 1.4% per year since 200
timama [110]
This can be solve using the formula
F = P(1 - i)^nwhere F is the future populationP is the initial populationi is the percent population declinen is the number of years
F = 951,300 ( 1 - 0.014)^5F = 886,548 will be the population in 2005
8 0
3 years ago
2. If the binomial 2x + 8 was multiplied by 5 the result would be equivalent to
DENIUS [597]

Answer:

the firs tone is right

Step-by-step explanation:

5 x 2x = 10x + 5 x 8 = 40 which is 10x + 40

8 0
3 years ago
Read 2 more answers
Patrick wants to estimate the percentage of parents who use cloth diapers. He asks a randomly selected group of 125 parents whet
sesenic [268]

Answer:  The percentage of parents who use cloth diapers in the sample is the statistic.

Step-by-step explanation:

  • A statistic is the measure of a particular characteristic in the sample which is nothing but a subset of population.

Here, the concern is to estimate the percentage of parents who use cloth diapers.

He took a sample of 125 parents to enquiry whether or not they use cloth diapers.

So, the percentage of parents who use cloth diapers 9in the sampl is the statistic.

6 0
3 years ago
In what year was her grandpa lopez twice as old as her dad?show how you know
RoseWind [281]
So,

We are trying to figure out when Grandpa Lopez's age was twice that of Dad.

Let x represent the number of years before/after when G. Lopez's age was twice that of Dad.

66 + x = 2(37 + x)

Distribute.
66 + x = 74 + 2x

Subtract x from both sides.
66 = 74 + x

Subtract 74 from both sides.
-8 = x

So 8 years ago, G. Lopez was twice as old as Dad.  Let's check that.

66 - 8 = 58

37 = 8 = 29

29 * 2 = 58
58 = 58

It checks.
8 0
3 years ago
Other questions:
  • Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this
    10·2 answers
  • 1. Find f '(−4), if f(x) = (5x2 + 6x)(3x2 + 7). Round your answer to the nearest integer. Use the hyphen symbol, -, for negative
    10·1 answer
  • Jenna had M mystery novels she gave half of them to a friend, then buy five more which expression get the number of mystery nove
    6·1 answer
  • WRITE THE FRACTION WITH THE GREATEST VALUE <br> <br> 3. 1/8 , 5/12 , 9/10
    5·2 answers
  • Is 61 divisible by 4?
    12·1 answer
  • If the regular price is $28 and the sales price is $21, what is the percent of the discount
    13·2 answers
  • Fernando has $10 to buy snacks for his friends at the baseball game. A
    10·1 answer
  • A charity run has prizes for the top finisher in each of 10 age categories. The
    8·2 answers
  • A boat travels 429 miles in 13 hours (with a constant
    8·1 answer
  • Determine domain and range from graph
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!