All categories

3 years ago

Solve for x. Round to the nearest tenth if necessary (will give brainliest please help!!!)

Mathematics

1 answer:

Radda [10]3 years ago

5 0

Answer:

41,1 I installed the solution. good work

You might be interested in

nasty-shy [4]

Answer:

Step-by-step explanation:

6 0

3 years ago

Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shap

pantera1 [17]

Answer:

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e $\dfrac{dV}{dt}= 20 \ ft^3/min$

we know that radius r is always twice the diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

$V = \dfrac{\pi r^2 h}{3}$

$V = \dfrac{\pi (h/2)^2 h}{3}$

$V = \dfrac{1}{12} \pi h^3$

$V = \dfrac{ \pi h^3}{12}$

Taking the differentiation of volume V with respect to time t; we have:

$\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}$

$\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}$

we know that:

$\dfrac{dV}{dt}= 20 \ ft^3/min$

So;we have:

$20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}$

$20= 56.25 \pi \times \dfrac{dh}{dt}$

$\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

8 0

3 years ago

Solve the system y = 2x + 9 and 3y = 6x + 18 by using graph paper or graphing technology. What is the solution to the system?

V125BC [204]

3x-9=6x-2x tyhjijhvssd hbjhbbb. Schhybhb. Schhjhh. Scvbbhh. Vbbjjn. Baby

3 0

3 years ago

Fiona deposits $2,000 into a savings account. If the Fed requires a 20 percent reserve ratio, how much of Fiona’s money can the

sesenic [268]

The amount the the fed require =

20/100 x 2,000 = 400

The amount of money that Fiona's bank can lend is : $ 2,000 - $ 400
= $ 1,600

6 0

3 years ago

Read 2 more answers

What is the length of the hypothenuse of the triangle?

BlackZzzverrR [31]

Answer:

26ft

Step-by-step explanation:

10^2 +24^2 =AB^2

AB=26

3 0

3 years ago

Read 2 more answers