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evablogger [386]
3 years ago
5

A rectangle is 6m wide and 11m long. How long is the diagonal of the rectangle?

Mathematics
1 answer:
Svet_ta [14]3 years ago
7 0

Answer:

≈12.53

Step-by-step explanation:

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How long would it take you to double your money is the bank pays 3.6% interest, compounded
Lapatulllka [165]

Answer:

t=19.25\ years

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=?\ years\\P=x\\r=3.6\%=3.6/100=0.036\\A=2x  

substitute in the formula above

2x=x(e)^{0.036t}  

solve for t

simplify

2=(e)^{0.036t}  

Apply ln both sides

ln(2)=ln[(e)^{0.036t}]

Applying property of exponents

ln(2)=[0.036t]ln(e)

Remember that ln(e) =1

ln(2)=[0.036t]

t=ln(2)/[0.036]

t=19.25\ years

7 0
3 years ago
Lane high school has 5 times as many students as park elementary. How many more students attend lane high school than park high
frosja888 [35]

Answer:

5 times as many

<em>BRAINLIEST, please!</em>

Step-by-step explanation:

I'd need more information about how many students there are at one of the schools. For example, if there are 200 students at Park Elementary, then there are 1000 at Lane High School since 200 x 5 = 1000. 1000 - 200 is 800, so there would be 800 more students at Lane High.

6 0
3 years ago
It says factor each expression 49x-28?
NARA [144]

Answer:

7(7x -4)

Step-by-step explanation:

49x-28

We can factor a 7 from each term

49x = 7*7x

28 = 7*4

7(7x -4)

3 0
4 years ago
HELP ME PLEASE I NEED HELP WITH THIS
fenix001 [56]

Answer:

V = 82,406.16 cm³

Step-by-step explanation:

Volume of a sphere

V = 4πr³/3

V = 4•3.14•27³/3

V = 247,218.48/3

V = 82,406.16 cm³

6 0
3 years ago
Write an equation of the line passing through the point A(8, 2) that is perpendicular to the line y = 4x−7.
Kay [80]

Answer:

y = - 1/4 + 4

Step-by-step explanation:

y = 4x - 7

Slope = 4

Slope of the perpendicular line = -1/4

Point (8,2)

(b) y-intercept: 2 - (-1/4)(8)

= 2 + 2 = 4

4 0
3 years ago
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