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nasty-shy [4]
3 years ago
11

Anyone know this I need help

Mathematics
2 answers:
horrorfan [7]3 years ago
7 0

Answer:

option D

Step-by-step explanation:

we have a right triangle

we know

c^2=a^2+b^2

c=hypotenuse

c=52 cm

a=48 cm

b= 20 cm

we  substitute in the equation c^2=a^a+b^2

so we have

52^2=48^2+20^2

52= sqrt(48^2+20^2)

52= sqrt(2304+400)

52= sqrt(2704)

52cm=52cm

so c=52 cm

so the option D is the correct answer

tensa zangetsu [6.8K]3 years ago
5 0

Answer:

D

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

AC / DF = CB / FE, that is

13 / DF = 5 / 20 ( cross- multiply )

5DF = 260 ( divide both sides by 5 )

DF = 52

AND

AB / DE = CB / FE, that is

12 / DE = 5 / 20 ( cross- multiply )

5DE = 240 ( divide both sides by 5 )

DE = 48

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5, 8, II, 14 ...<br>The pattern is<br>Next 2 terms =​
QveST [7]

Answer:

the next two terms are 17, 20

Step-by-step explanation:

add 3 to each term

Example

5+3 = 8

8+3= 11

11+3= 14 etc.

4 0
3 years ago
Read 2 more answers
A. Do some research and find a city that has experienced population growth.
horrorfan [7]
A. The city we will use is Orlando, Florida, and we are going to examine its population growth from 2000 to 2010. According to the census the population of Orlando was 192,157 in 2000 and 238,300 in 2010. To examine this population growth period, we will use the standard population growth equation N_{t} =N _{0}e^{rt}
where:
N(t) is the population after t years
N_{0} is the initial population 
t is the time in years 
r is the growth rate in decimal form 
e is the Euler's constant 
We now for our investigation that N(t)=238300, N_{0} =192157, and t=10; lets replace those values in our equation to find r:
238300=192157e^{10r}
e^{10r} = \frac{238300}{192157}
ln(e^{10r} )=ln( \frac{238300}{192157} )
r= \frac{ln( \frac{238300}{192157}) }{10}
r=0.022
Now lets multiply r by 100% to obtain our growth rate as a percentage:
(0.022)(100)=2.2%
We just show that Orlando's population has been growing at a rate of 2.2% from 2000 to 2010. Its population increased from 192,157 to 238,300 in ten years.

B. Here we will examine the population decline of Detroit, Michigan over a period of ten years: 2000 to 2010.
Population in 2000: 951,307
Population in 2010: 713,777
We know from our investigation that N(t)=713777, N_{0} =951307, and t=10. Just like before, lets replace those values into our equation to find r:
713777=951307e^{10r}
e^{10r} = \frac{713777}{951307}
ln(e^{10r} )=ln( \frac{713777}{951307} )
r= \frac{ln( \frac{713777}{951307}) }{10}
r=-0.029
(-0.029)(100)= -2.9%.
We just show that Detroit's population has been declining at a rate of 2.2% from 2000 to 2010. Its population increased from 192,157 to 238,300 in ten years.

C. Final equation from point A: N(t)=192157e^{0.022t}.
Final equation from point B: N(t)=951307e^{-0.029t}
Similarities: Both have an initial population and use the same Euler's constant.
Differences: In the equation from point A the exponent is positive, which means that the function is growing; whereas, in equation from point B the exponent is negative, which means that the functions is decaying.

D. To find the year in which the population of Orlando will exceed the population of Detroit, we are going equate both equations N(t)=192157e^{0.022t} and N(t)=951307e^{-0.029t} and solve for t:
192157e^{0.022t} =951307e^{-0.029t}
\frac{192157e^{0.022t} }{951307e^{-0.029t} } =1
e^{0.051t} = \frac{951307}{192157}
ln(e^{0.051t})=ln( \frac{951307}{192157})
t= \frac{ln( \frac{951307}{192157}) }{0.051}
t=31.36
We can conclude that if Orlando's population keeps growing at the same rate and Detroit's keeps declining at the same rate, after 31.36 years in May of 2031 Orlando's population will surpass Detroit's population.

E. Since we know that the population of Detroit as 2000 is 951307, twice that population will be 2(951307)=1902614. Now we can rewrite our equation as: N(t)=1902614e^{-0.029t}. The last thing we need to do is equate our Orlando's population growth equation with this new one and solve for t:
192157e^{0.022t} =1902614e^{-0.029t}
\frac{192157e^{0.022t} }{1902614e^{-0.029t} } =1
e^{0.051t} = \frac{1902614}{192157}
ln(e^{0.051t} )=ln( \frac{1902614}{192157} )
t= \frac{ln( \frac{1902614}{192157}) }{0.051}
t=44.95
We can conclude that after 45 years in 2045 the population of Orlando will exceed twice the population of Detroit. 

  
8 0
3 years ago
Dont know how to solve for x can someone help me
vfiekz [6]
  57 + x + x + 130 = 167
  57 + 2x + 130 = 167
    187 + 2x = 167
  - 187          - 187
---------------------------
    2x = -20
  ------  -------
     2       2

x = -10
5 0
3 years ago
Crane Company publishes a monthly sports magazine, Fishing Preview. Subscription to the magazine cost $30 per year. During Novem
lesya692 [45]

Journal entry

Explanation:

                                  Books of (----Limited)

                                      Journal Entry

<u>Date         Account Title and Explanation            Debit         Credit </u>

              Cash / Bank                          A/c  Dr.     $750,000

                To Unearned Subscription A/c                               $750,000

                            (Being Unearned Subscription)

Computation:

Amount of Unearned Subscription =  25,000 × $30

Amount of Unearned Subscription =  %750,000

5 0
3 years ago
We need to buy 4 spirals for every student. If we have 25 students, how many spirals should we order?
ozzi

Answer:

100

Step-by-step explanation:

4 spirals for 1 student. 4 x 25 to get the total number, and that equals 100

8 0
3 years ago
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