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2 years ago

Can you bisect an angle using only a compass and a straight edge

Mathematics

1 answer:

ahrayia [7]2 years ago

4 0

Answer:

yes

Step-by-step explanation:

bisect = dividing it into two equal parts

if you were to line the angle up with the north (or really any line of the compass), you could find the center (you could find where two lines [the same distance from north] are on equal sides of north, or you could just find the center of the angle from sight)

and with the straight edge, you could easily divide the angle into two equal halves

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A tank contains 3,000 L of brine with 15 kg of dissolved salt. Pure water enters the tank at a rate of 30 L/min. The solution is

Shalnov [3]

Answer:

Step-by-step explanation:

Volume of tank is 3000L.

Mass of salt is 15kg

Input rate of water is 30L/min

dV/dt=30L/min

Let y(t) be the amount of salt at any time

Then,

dy/dt = input rate - output rate.

The input rate is zero since only water is added and not salt solution

Now, output rate.

Concentrate on of the salt in the tank at any time (t) is given as

Since it holds initially holds 3000L of brine then the mass to volume rate is y(t)/3000

dy/dt= dV/dt × dM/dV

dy/dt=30×y/3000

dy/dt=y/100

Applying variable separation to solve the ODE

1/y dy=0.01dt

Integrate both side

∫ 1/y dy = ∫ 0.01dt

In(y)= 0.01t + A, .A is constant

Take exponential of both side

y=exp(0.01t+A)

y=exp(0.01t)exp(A)

exp(A) is another constant let say C

y(t)=Cexp(0.01t)

The initial condition given

At t=0 y=15kg

15=Cexp(0)

Therefore, C=15

Then, the solution becomes

y(t) = 15exp(0.01t)

At any time that is the mass.

5 0

3 years ago

The quotient of four times a number and six is eight.

Anna35 [415]

Answer:

Quotient = Divide

8 = 4x * 6

6 0

3 years ago

Read 2 more answers

Find the median for the scores 91, 69, 71, 82, 71, 95, 87, 74, 71, 89, 89, 95, 72, 75

AnnyKZ [126]

$\huge\text{Hey there!}$

$\huge\textbf{What does \boxed{median} mean in math?}}$

$\boxed{\text{Median}}\rightarrow\textsf{ is the number in the middle.}$

$\huge\textbf{How do you find the \boxed{median}?}$

$\text{You can found it by putting the numbers from \bf least to greatest.}$

$\huge\textbf{Question reads....}$

$\text{Find the median for the scores 91, 69, 71, 82, 71, 95, 87, 74, 71, 89, 89, 95,}\\\text{72, 75}$

$\huge\textbf{Equation:}$

$\text{91, 69, 71, 82, 71, 95, 87, 74, 71, 89, 89, 95, 72, 75}$

$\huge\textbf{Rearrange the problems to:}$

$\text{69,71,71,71,72,74,75,82,87, 89,89,91,95,95}$

$\huge\textbf{The expression:}$

$\mathsf{\dfrac{75 + 82}{2} = median}$

$\huge\textbf{Simplify it:}$

$\mathsf{\dfrac{75 + 82}{2} = median}$

$\mathsf{\dfrac{157}{2} = median}$

$\mathsf{257\div2 = median}$

$\mathsf{78.5 = median}$

$\huge\textbf{Therefore, your answer should be:}$

$\huge\boxed{\mathsf{78.5}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

<h3>~ $\frak{Amphitrite1040:)}$ </h3>

8 0

1 year ago

Solve the inequality 4x - 7<5

lara [203]

Answer:

x < 3

Step-by-step explanation:

4x - 7 < 5

Add 7 to both sides;

4x < 12

Divide both sides by 4;

x < 3

6 0

3 years ago

Read 2 more answers

What is three-eighths plus one-half?

tankabanditka [31]

7/8, One should first make all the fractions have the same denominator so 3/8 and 1/2=4/8 so then add 3/8+4/8=7/8

5 0

3 years ago

Read 2 more answers

Can you bisect an angle using only a compass and a straight edge​

Can you bisect an angle using only a compass and a straight edge