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3 years ago

83. A given circle has a

1 answer:

3 0

Answer: the circles radius is 2

The equation for circumference of a circle is 2*pi*r
And the equation for the area of a circle is pi*r^2

The only way both of these equations can be true is if 2r(pi)=(pi)r^2
Or
2r=r^2

And when is the square of a number equal to two times the number? When the number is 2

So the radius must be 2

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You want to count on to find 2 + 6. What number<br> would you start with? Why?

Nataliya [291]

Answer:

Step-by-step explanation:

It doesn't really matter but the equation is 2 + 6 not 6 + 2.

3 0

3 years ago

The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is

aniked [119]

Answer:

10.50°C

Step-by-step explanation:

Given x = 2 + t , y = 1 + 1/2t where x and y are measured in centimeters. Also, the temperature function satisfies Tx(2, 2) = 9 and Ty(2, 2) = 3

The rate of change in temperature of the bug path can be expressed using the composite formula:

dT/dt = Tx(dx/dt) + Ty(dy/dt)

If x = 2+t; dx/dt = 1

If y = 1+12t; dy/dt = 1/2

Substituting the parameters gotten into dT/dt we will have;

dT/dt = 9(1)+3(1/2)

dT/dt = 9+1.5

dT/dt = 10.50°C/s

Hence the rate at which the temperature is rising along the bug's path is 10.50°C/s

7 0

3 years ago

HELP!!!!! PLEASE!!!!

finlep [7]

Cant really see it the picture

3 0

3 years ago

Consider the function h(x) = arcsin x) considering the input of h... i) ...which is a valid unit of measure for the input quanti

ExtremeBDS [4]

Given the function $h(x)=\arcsin(x)$

Part a:

Considering the input of h

i.) A valid unit of measure for the input quantity is Seconds

ii.) The possible input values, i.e. the domain of h are -1 ≤ x ≤ 1

Part B:

i.) A valid unit of measure for the output quantity is the Radians.

ii.) The possible output values, i.e. the range of h is 0 ≤ h ≤ 2π

Part C:

i.) $\arcsin\left(\sin\frac{\pi}{3}\right)=\frac{\pi}{3}$

ii.) $\arcsin\left(\sin\frac{2\pi}{3}\right)=\frac{2\pi}{3}$

iii.) $\arcsin\left(\sin\frac{7\pi}{6}\right)=\frac{7\pi}{6}$

iv.) $\arcsin\left(\sin\frac{7\pi}{4}\right)=\frac{7\pi}{4}$

4 0

3 years ago

three quarts of latex enamel paint will cover about 270 square feet of wall surface. how many quarts will you need to cover 350

hichkok12 [17]

Answer:

Kitchen - 3.89 quarts or 3 $\frac{8}{9}$ quarts of latex enamel

Bathroom - 1.12 quarts or 1 $\frac{1}{9}$ quarts of latex enamel

Step-by-step explanation:

270 feet² for every 3 quartz.

We need how much ft² 1 quart can cover.

So,

270 ÷ 3 = 90 ft²

Every 1 quart covers about 90 ft² of wall.

For kitchen we need to cover 350 ft².

So,

350 ÷ 90 = 3.89 quarts or 3 $\frac{8}{9}$ quarts of latex enamel

For bathroom we need to cover 100 ft².

So,

100 ÷ 90 = 1.12 quarts or 1 $\frac{1}{9}$ quarts of latex enamel

8 0

3 years ago