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Each morning a gardener uses 25 gallons of water from a barrel. Each afternoon, she adds 15 gallons of water to the barrel. By h

mr_godi [17]

Given :

Each morning a gardener uses 25 gallons of water from a barrel.

Each afternoon, she adds 15 gallons of water to the barrel.

To Find :

By how much has the volume of water in the barrel changed after 5 days.

Solution :

Amount of of water used from the barrel per day is :

A = 25 - 15 gallons

A = 10 gallons

Now, volume of water in the barrel changed after 5 days is :

V = A × 5 gallons

V = 10 × 5 gallons

V = 50 gallons

Therefore, volume of water in barrel is changed by 50 gallons.

3 0

2 years ago

Find the exact value of the remaining trigonometric functions given: Tan x = Undefined Sin x > 0

finlep [7]

Answer:

sin(x) = 1
cos(x) = 0
cot(x) = 0
csc(x) = 1
sec(x) = undefined

Step-by-step explanation:

The tangent function can be considered to be the ratio of the sine and cosine functions:

tan(x) = sin(x)/cos(x)

It will be undefined where cos(x) = 0. The values of x where that occurs are odd multiples of π. The smallest such multiple is x=π/2. The value of the sine function there is positive: sin(π/2) = 1.

The corresponding trig function values are ...

tan(x) = undefined (where sin(x) >0)

sin(x) = 1

cos(x) = 0

__

And the reciprocal function values at x=π/2 are ...

cot(x) = 0 . . . . . . 1/tan(x)

csc(x) = 1 . . . . . . .1/sin(x)

sec(x) = undefined . . . . . 1/cos(x)

3 0

2 years ago

Help with number 5 thx

Temka [501]

First, we find the area of the circle.

A = pi * r^2

A = pi * (1 cm)^2

A = pi cm^2

The area of the circle is pi cm^2.

The area of the triangle is also pi cm^2.

Now we use the area of a triangle.

A = (1/2)bh

(1/2)bh = A

(1/2)(3 cm)h = pi cm^2

(3 cm)h = 2pi cm^2

h = (2/3)pi cm

The exact height is $\dfrac{2\pi}{3} ~cm$

If you want an approximate height, then it is 2.09 cm.

3 0

3 years ago

For f(x) = -4x -9 evaluate for f(6.5)

kolezko [41]

Answer:

f=−35

Step-by-step explanation:

1.Simplify 4×6.5 to 26

f=-26-9

2. Simplify -26-9 to -35

f=-35

7 0

2 years ago

Find the Diameter of the Circle with the following equation. Round to the nearest tenth.

CaHeK987 [17]

Answer:

11.8 units

Step-by-step explanation:

The circle equation is given as:

The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35

The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:

The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2

The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2Where

The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2r

The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we have

The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35

The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35Take the square root of both sides

The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35Take the square root of both sidesr = 5.9

The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35Take the square root of both sidesr = 5.9Multiply by 2

The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35Take the square root of both sidesr = 5.9Multiply by 22r = 11.8

The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35Take the square root of both sidesr = 5.9Multiply by 22r = 11.8Hence, the diameter of the circle is 11.8 units

8 0

1 year ago

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