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
Nina [5.8K]
3 years ago
12

The side of a triangle with 3 equal sides is 7 inches shorter than the side of a square. The perimeter of the square is 39 inche

s more than the perimeter of the triangle. Find the length of a side of the square.
Mathematics
1 answer:
Aleksandr [31]3 years ago
5 0

 length of  square = 18


x = side of square

x-7 = side of triangle

3(x-7) + 39 = 4x

3x-21 + 39 = 4x

3x+18 = 4x

18=x

square    18x4 =72(perimeter square)

triangle side  (18-7=11)

11x3 = 33(perimeter triangle) 

72-33=39

You might be interested in
1 point) According to one mathematical model, the average life expenctancy for American men born in 1900 was 55 years. Life expe
xxMikexx [17]

  a)

Let t represents number of years after 1900

so that means for 1900, value of t is 0

We are given point as (0,55)

and it says that life expectancy increases by 0.2

so that means slope,m=0.2

equation of line is y=mt +b

or y=0.2t +b

now we use point (0,55)

55 =0.2(0) +b

55 =0+b

55= b

so b=55

plug it back into the equation,we get

y=0.2t +55

b)

We are given y=73

so we plug it into the equation we got in part a and solve for t

y=0.2t +55

73 =0.2t +55

73-55 =0.2t

18 =0.2t

18/0.2 =t

90 =t

so t=90

This means the birth year =1900+t =1900+90 =1990


5 0
3 years ago
a) The mean age of graduate students at a University is at most 31 y ears with a standard deviation of two years. A random sampl
kari74 [83]

Answer:

A.)

H0: μ ≤ 31

H1: μ > 31

B.)

H0: μ ≥ 16

H1: μ < 16

C.)

Right tailed test

D.)

If Pvalue is less than or equal to α ; we reject the Null

Step-by-step explanation:

The significance level , α = 0.01

The Pvalue = 0.0264

The decision region :

Reject the null if :

Pvalue < α

0.0264 > 0.01

Since Pvalue is greater than α ; then, we fail to reject the Null ;

Then there is no significant evidence that the mean graduate age is more Than 31.

B.)

H0: μ ≥ 16

H1: μ < 16

Null Fluid contains 16

Alternative hypothesis, fluid contains less than 16

One sample t - test

C.)

Null hypothesis :

H0 : μ ≤ 12

. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.

Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12

d.)

If Pvalue is less than or equal to α ; we reject the Null.

3 0
3 years ago
Wright the ratio 4.5 : 2.35 in the form n : 1
sergeinik [125]

Answer:

\frac{9}{47}: 1

Step-by-step explanation:

you can divide both sides by 2.35 to get the right side to be 1:

4.5: 2.35\\\frac{9}{47}: 1

6 0
3 years ago
PLEASEEEEEEEEEEEEE HELP MEEEEEEEEEEEEEEEE
diamong [38]

Answer:

a

Step-by-step explanation:

the first box is 2 times as small as the the second

6 0
3 years ago
Read 2 more answers
Solve 3(4m - 6) = 12 and explain each step
Studentka2010 [4]
Distribute the 3 to 4m and 6. this makes 12m-18=12
now add 18 to both sides.
12m=30
now divide by 12
m=30/12
3 0
3 years ago
Other questions:
  • Need help asap!!!!!!!!!!
    11·2 answers
  • (05.01)
    15·2 answers
  • (10 POINTS AND BRAINLIEST FOR BEST)
    9·1 answer
  • What's the answer to this I can't figure it out
    14·2 answers
  • fruit salad for 5 people needs 400g of melon, 120g of mango, 0.3kg of banana and 0.45kg of grapes. How much will it weigh in gra
    10·1 answer
  • Approximately 6 out of 8 homeowners own a cell phone. What percent of homeowners do not have a cell phone? *​
    6·1 answer
  • A group of researchers investigated the effects of bed room lighting conditions in developing eye sight problems and found that
    12·1 answer
  • What is 87B -179+957÷87
    8·1 answer
  • I want the answer fast plz
    12·1 answer
  • HELP ASP
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!