All categories

3 years ago

What is the length of the diagonal?

Mathematics

1 answer:

JulijaS [17]3 years ago

6 0

Answer:

$\sqrt{865} feet$

Step-by-step explanation:

Using pythagoras theorem,

$length \: = \sqrt{17 {}^{2} + 24 {}^{2} } \\ = \sqrt{865} ft$

You might be interested in

CR 27 campers this is 9 times as many as the number of counselors how many consoles are there

ycow [4]

243 counselors will be there

6 0

3 years ago

Identify the initial amount a and the growth factor b in the exponential function.f(t)=1.4^t

vaieri [72.5K]

Initial amount is when no change has happened or when t=0
that iniital amoun tis 1
the growth factor
welll, it grows by 40% each time of previous times

I would say growth factor of 1.4

f(x)=a(b)^t
f(t)=1(1.4)^t
initial amount is 1
grouth factor is 1.4

6 0

3 years ago

3. An electric bill is an essential expense for young people who get their first

Dmitrij [34]

Answer:

Mean = $123.8

Range= $72

Variance= $607.344

Standard deviation=$ 24.64

Step by step explanation:

The list of the data of electricity bill on ascending order

$88,$90,$90,$95,$110,$115,$120,$126,$144,$150

Mean = (summation of($88,$90,$90,$95,$110,$115,$120,$126,$144,$150))/10

Mean = 1238/10

Mean = $123.8

Range= highest value- Lowest VA

Range= 150-88

Range= $72

Variance=( (88-123.8)²+(90-123.8)²+(90-123.8)²+(95-123.8)²+(110-123.8)²+(115-123.8)²+(120-123.8)²+(126-123.8)²+(144-123.8)²+(150-123.8)²)/10

Variance= (1281.64+1142.44+1142.44+829.44+190.44+77.44+14.44+4.84+295.84+408.04+686.44)/10

Variance= 6073.44/10

Variance=$ 607.344

Standard deviation= √variance

Standard deviation= √ 607.344

Standard deviation=$ 24.64

6 0

4 years ago

Solve the equation (1 + x²)dy +xydx= 0

Tatiana [17]

Answer:

$y=\frac{c}{\sqrt[]{x^2+1} }$

Step-by-step explanation:

(1 + x²)dy +xydx= 0

$(1+x^2)dy=-xydx\\\frac{1}{y}dy=\frac{-x}{x^2+1}dx\\$

Integrate both side

$lny=-\frac{1}{2} ln(x^2+1)+c\\y=\frac{c}{\sqrt[]{x^2+1} }$

7 0

3 years ago

In one day Sasha got 1 hour of sleep for every 3 hours she was awake if there are 24 hours in a day how many hours of sleep did

Gre4nikov [31]

Answer:

Hours slept = 6 hours

Hours awake = 18 hours

Step-by-step explanation:

Sasha got 1 hour of sleep for every 3 hours she was awake.

So,

<u>This means:</u>

Slept : Awake = 1 : 3

Total hours in a day = 24 hours

Hours slept = 1x and hours awake = 3x

<u>Hence,</u>

1x + 3x = 24 hours

4x = 24

Divide both sides by 4

x = 24 / 4

x = 6

Hours slept = 1(6) = 6 hours

Hours awake = 3(6) = 18 hours

$\rule[225]{225}{2}$

Hope this helped!

6 0

3 years ago