Ask question

Ask question

All categories

Diano4ka-milaya [45]

3 years ago

11

Andy is scuba diving. he starts at sea level and then descends 10 feet in 212 minutes. part a how would you represent andy's des

cent as a unit rate? express your answer as an integer. enter your answer in the box

1 answer:

Mashcka [7]3 years ago

4 0

I would use the starting position, sea level as zero. Then I would convert all those minutes to hours so the answer is an integer and not a decimal.
60 min * (-10 ft / 212 min) = -2.83 ft/hr

round to integer = -3 ft/hr

You might be interested in

A square and a circle intersect so that each side of the square contains a chord of the circle equal in length to the radius of

krek1111 [17]

Answer:

Step-by-step explanation:

it is given that Square contains a chord of of the circle equal to the radius thus from diagram

$QR=chord =radius =R$

If Chord is equal to radius then triangle PQR is an equilateral Triangle

Thus $QO=\frac{R}{2}=RO$

In triangle PQO applying Pythagoras theorem

$(PQ)^2=(PO)^2+(QO)^2$

$PO=\sqrt{(PQ)^2-(QO)^2}$

$PO=\sqrt{R^2-\frac{R^2}{4}}$

$PO=\frac{\sqrt{3}}{2}R$

Thus length of Side of square $=2PO=\sqrt{3}R$

Area of square $=(\sqrt{3}R)^2=3R^2$

Area of Circle $=\pi R^2$

Ratio of square to the circle $=\frac{3R^2}{\pi R^2}=\frac{3}{\pi }$

5 0

3 years ago

A car rental company charges $11 a day and 18 cents per mile to rent their cars. If the total charge for a 2-day rental was $61.

Ne4ueva [31]

Answer:

220 miles

Step-by-step explanation:

.18m + 11d = 61.60

d = 2

.18m + 22 = 61.60

Subtract 22 from both sides

.18m = 39.60

Divide both sides by .18

m = 220

6 0

3 years ago

Angle C is inscribed in circle O AB is a diameter of O what is measure of A

TEA [102]

Answer:

A = 53 degree

90-37 = 53 degree

As the triangle is a right angle triangle we see complimentary to the other angles and as all angles in a triangle equal 180, we see the other two which compliment this.

Step-by-step explanation:

6 0

3 years ago

Choose the correct product of the expression (-2x + 8y) ( 9x - 3y)

Nikolay [14]

The expression foiled together is 6(-3x^2+13xy-4y^2)

5 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