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3 years ago

Which quantity is proportional to 15⁄3?

Mathematics

2 answers:

zloy xaker [14]3 years ago

6 0

Answer:the answer for 15/3 = 5/1 which then equals to 5.

Step-by-step explanation:

blagie [28]3 years ago

4 0

A quantity that is proportional is 5/1

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When the area of a square is increasing four times as fast as the diagonals, what is the length of a side of the square

djverab [1.8K]

Answer:

Length of a side of a square = 2√2 units

Step-by-step explanation:

Let the length of a square is 'x' units.

Therefore, Area of the square A = (Side)²

= x² square units

And by Pythagoras theorem,

(Diagonal)²= (Side 1)² + (Side 2)²

= x² + x²

= 2x²

Diagonal 'p' = x√2 units

It is given in the question that area of the square is increasing four times as fast as the diagonals.

$\frac{d(A)}{dt}=4(\frac{dp}{dt} )$ -------(1)

$\frac{d(A)}{dt}=\frac{d(x^2)}{dt}$

$\frac{d(A)}{dt}=2x\frac{d(x)}{dt}$

Similarly, $\frac{d(p)}{dt}=\frac{d(x\sqrt{2})}{dt}$

$=\sqrt{2}\frac{dx}{dt}$

Now by placing the value of $\frac{d(A)}{dt}$ and $\frac{d(p)}{dt}$ in equation (1),

$2x\frac{dx}{dt}=4\sqrt{2}\frac{dx}{dt}$

$(2x - 4\sqrt{2})\frac{dx}{dt}=0$

Since, $\frac{dx}{dt}\neq 0$

$(2x - 4\sqrt{2})=0$

x = 2√2

Therefore, length of a side of the square is 2√2.

5 0

3 years ago

You borrow $680 from your brother and agree to pay back $750 in 3 months. What simple interest rate will you pay?

Anastasy [175]

Answer:

hence rate interest r = 41.176%

Step-by-step explanation:

The amount borrowed= $680

amount payed back = $750

therefore, interest incurred = 750-680= $70

time, t= 3 months = 3/12= 0.25 years

rate%, r

we know that SI= $\frac{PRT}{100}$

70= $\frac{680\timesr\0.25}{100}$

r= $\frac{7000}{0.25\times680} = 41.176$

hence rate interest r = 41.176%

5 0

3 years ago

Log_4 (8) = 3/2 in exponential form

Soloha48 [4]

Answer:

4^ (3/2) =8

Step-by-step explanation:

Log_4 (8) = 3/2

We know that

log a (b) =c becomes a^c =b

Log_4 (8) = 3/2 becomes 4^ (3/2) =8

8 0

4 years ago

18 less than half a number is 6

sammy [17]

Answer:

Step-by-step explanation:

18 less than half a number is 6.

So this is the formula:

X/2 - 18 = 6.

You can add 18 to 6.

X/2 = 24.

You can now multiply by 2.

X=48

8 0

3 years ago

A guy wire runs from the ground to a cell tower. The wire is attached to the cell tower 150 feet above the ground. The angle for

vova2212 [387]

Answer: a the guy wire is 150 ft

Step-by-step explanation: b the guy is the wire is 350 sorry not good and english but answer is 350 ft

6 0

3 years ago