The functions f(x) and g(x) are shown on the graph. F(x)= x^2 What is g(x)

If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°?

mihalych1998 [28]

Circumference of entire circle = 2 * PI * 10
circumference of entire circle = 62.832 feet
81 degrees is (9/40) of a circle
62.832 * (9/40) = 14.1372 

Source:
http://www.1728.org/radians.htm

4 0

3 years ago

The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana sp

Nataliya [291]

Answer:

$82 sundaes

$74 banana split

Step-by-step explanation:

Step one :

Given data

Cost of sundaes =$2 each

Cost of banana split =$3 each

Let the number of sundaes bought be x

And the number of banana split bought be y

The total is x+y

The shop sold 8 more Sundaes than the Banana split

x=8+y—-------1

Total amount made = $156

Therefore the system of equation for the situation is

x=8+y----—----------1

2x+3y=156---------2

But x=8+y

8+y+y=156

8+2y=156

2y=156-8

2y=148

Divide both sides by 2

y=148/2

y=74

On That day they sold $74 banana split

And also they sold x=8+74=$82 sundaes

4 0

3 years ago

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

andrew11 [14]

Differentiating both sides of

$x^2 + 2xy - y^2 + x = 20$

with respect to $x$ yields

$2x + 2y + 2x \dfrac{dy}{dx} - 2y \dfrac{dy}{dx} + 1 = 0 \\\\ \implies (2x-2y) \dfrac{dy}{dx} = -1 - 2x - 2y \\\\ \implies \dfrac{dy}{dx} = \dfrac{1 + 2x + 2y}{2(y-x)}$

At the point (3, 4) (so $x=3$ and $y=4$ ), the tangent line has slope

$\dfrac{dy}{dx} = \dfrac{1 + 2\times3 + 2\times4}{2(4-3)} = \dfrac{15}2$

Then the tangent line to (3, 4) has equation

$y - 4 = \dfrac{15}2 (x - 3) \implies \boxed{y = \dfrac{15}2 x - \dfrac{37}2}$

7 0

2 years ago

I need help out please quiz

sleet_krkn [62]

Answer:

SSS

Step-by-step explanation:

if 2 sides are equal the third side is also equal

3 0

3 years ago

If x varies directly as y, then what is y when x = 4, knowing that x = 60 when y = 5?

Basile [38]

Answer: The answer would be 1/2

Step-by-step explanation:

Y varies DIRECTLY as x. Find the constant of variation, k, if y = -5x

The first sentence is there for information, the constant is a number( 1,2,3...so on) , so the only number is -5

It is a linear equation meaning equation of a straight line.

its form is y= mx+b, where m is the slope of the line, b is the y intercept when x=0. these info you have to memorize like your life depend on it.

next, y varies directly as x. If y = 15 when x = 60, find y when x = 100

if y= 15, when x=60, then there is a number m such that m*y= 60

or m= 60/y= 60/15 =4

so the equation is y=4x. in this cause, the b=0

so when x=0, y=0

The distance a car travels at a constant speed varies directly as the time the car spends traveling. If a car traveled 105 miles in 3 hours, how far could the car travel in 5 hours?

remember that distance = speed times time.

or d=Vt

so car goes 105 miles on 3 hours

how far it goes in one hour?

if you know that, then you can tell how far it goes in 5 hours.

Hope I made it non tough enough

Please give me Brainliest

4 0

4 years ago

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