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
Gala2k [10]
3 years ago
11

Q14

Mathematics
1 answer:
posledela3 years ago
8 0

Answer:

42.6cm

Step-by-step explanation:

The sum total of all the sides of the shape is the perimeter of the shape. Hence;

Perimeter = x+3 + 4 + x+9 + 2x+5

Perimeter = 4x + 21

Given

Area of the figure = 75cm^2

Area = (x+3)(2x+5) + (2x+1)(6)

75 = 2x²+5x+6x+15+12x+6

75 =  2x²+23x+21

2x²+23x+21-75 = 0

2x²+23x-54 = 0

x = -23±√23²-4(2)(-75)/4

x = -23±√529+600/4

x = -12±√1129/4

x = -12+33.6/4

x = 21.6/4

x = 5.4

Recall that;

Perimeter = 4x+21

Perimeter = 4(5.4) + 21

Perimeter = 21.6+21

Perimeter = 42.6cm

Hence the perimeter is 42.6cm

You might be interested in
PLEASSSsSEEeeE HeLPpPp
prisoha [69]

Answer:

D = 59t

P = 42t

5 hours after noon, darmian is 17 miles closer to the stadium than paisley

Step-by-step explanation:

At noon, Damian is 383 miles away from the stadium and paisley is 315 miles away from the stadium.

Now, we are told that damians speed is 59 mph while paisley's speed is 42 mph.

At t hours after noon, their distance covered will be;

Damian; D = 59t

Paisley; P = 42t

This is because distance = speed × time

Now, 5 hours after noon, their respective distance covered will be;

D(5) = 59 × 5 = 295 miles

P(5) = 42 × 5 = 210 miles

This means that;

distance of Damian from the stadium is; 383 - 295 = 88 miles

Distance of paisley from the stadium is;

315 - 210 = 105 miles

Difference in their distances to the stadium = 105 - 88 = 17 miles

Thus, 5 hours after noon, darmian is 17 miles closer to the stadium than paisley

4 0
2 years ago
Vicky records the low temperature for three consecutive days. Between the first and second days the temperature increased 6 degr
Sholpan [36]
<em>-9</em><span><em>º </em>

You can figure this out by doing every thing backwards:
</span> –6º plus 3 degrees the minus <span>6 degrees</span>
3 0
2 years ago
Read 2 more answers
a glass jar has 64 chocolate. mark, dave and ralph will share the chocolate in the ratio of 1:1:2, how many chocolates will each
tia_tia [17]

Step-by-step explanation:

64/(1+1+2)

= 64/4

= 16

1 : 1 : 2

mark = 1×16 = 16

dave = 1×16 = 16

ralph = 2×16 = 32

8 0
2 years ago
Read 2 more answers
What number is halfway between eight and nine
stellarik [79]

Answer:

8.5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which of these sets of ordered pairs would define a line with a positive slope?
Serhud [2]
The correct answer is D
8 0
2 years ago
Other questions:
  • did i draw the line x=2 correctly? and how do i do b? what does it mean by reflect it in line x=2? plz plz plz help!!!!!
    15·1 answer
  • What is the answer to this equation? 3(x – 2) = 22 – x
    7·1 answer
  • If ​$450 is invested for one year at 55​% simple​ interest, how much interest is​ earned?
    11·2 answers
  • You have a new job where you earn 13% commission in addition to $5.25 per hour. On your first day, you work for 7.75 h and sell
    9·1 answer
  • What is the sum of the arithmetic sequence 3, 9, 15..., if there are 26 terms?
    8·2 answers
  • it can be determined that the MAIN reason the King of England wishes to establish a new southern colony is because
    12·1 answer
  • Please help!! it is very importent
    12·1 answer
  • Plz help..................
    7·1 answer
  • URGENT PLZZ HELP!!!!
    8·1 answer
  • Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Calculate the area of t
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!