Ask question

Ask question

All categories

3 years ago

5

Find the value of x.

1 answer:

puteri [66]3 years ago

4 0

Answer:

x=6,24

Step-by-step explanation:

Use the Theorem of Pythagoras.

H^2= S^2+ S^2

8^2= 5^2 + S^2

64-25 = S^2

39 = S^2

6,24= S

S is x therefore x = 6,24

You might be interested in

What is the reciprocal of 4/9

yarga [219]

Answer:

9/4

Step-by-step explanation:

Just flip it upside down

4 0

2 years ago

Read 2 more answers

PLEASE HELP I SUCK AT MATH

natka813 [3]

Answer:

Im pretty sure it's A because Z and AZ are collinear

6 0

2 years ago

Suppose water is added to a tank at 10 gal / min , but leakes out at the rate of 0.2 gal / min for each gallon in the tank . Wha

Nana76 [90]

Answer:

50 gallon

Step-by-step explanation:

We are given that

$\frac{dV_{in}}{dt}=10 gal/min$

Let V(in gallon) be the present volume of tank.

$\frac{dV_{out}}{dt}=0.2 V gal/min$

We have to find the smallest capacity the tank can have if the process is to continue indefinitely.

According to question

$\frac{dV}{dt}$ =Incoming volume-outgoing volume

$\frac{dV}{dt}=10-0.2 V=-(\frac{1}{5}V-10)=-(\frac{V-50}{5})$

$\frac{5dV}{V-50}=-dt$

Integrating on both sides

$\int \frac{5dV}{V-50}=-\int dt$

$5ln(V-50)=-t+ln C$

By using the formula

$\int \frac{dx}{x}=ln x+C$

$ln(V-50)=\frac{1}{5}(-t+ln C)$

$ln(V-50)=-\frac{1}{5}t+\frac{1}{5} ln C$

$ln(V-50)=-\frac{1}{5} t+lnC^{\frac{1}{5}}$

$ln(V-50)=-\frac{1}{5}t+ln C'$

Where $ln C'=ln C^{\frac{1}{5}}$

$ln(V-50)-ln C'=-\frac{1}{5} t$

$ln\frac{V-50}{C'}=-\frac{1}{5}$

Using the formula

$ln m-ln n=ln\frac{m}{n}$

$\frac{V-50}{C'}=e^{-\frac{1}{5}t}$

$V-50=C'e^{-\frac{1}{5}t}$

Substitute $t=\infty$

$V-50=0$

$V=50$

Hence, the smallest capacity the tank can have if the process is to continue indefinitely=50 gallon

7 0

2 years ago

What is the simplified form? (4/7)^3<br> a. 343/64<br> b. 21,952<br> c. 407<br> d. 64/343

charle [14.2K]

=(4/7)^3

=(4/7)*(4/7)*(4/7)

=4*4*4 / 7*7*7

=4^3 / 7^3

=64/343

Answer is D.

8 0

2 years ago

Read 2 more answers

What is an equation of the line that passes through the points (-5, -7) and (5, 1)

Nutka1998 [239]

The equation is y= 4/5x-3
my work is attached :)

5 0

3 years ago