0.001 in Standard form

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Answer 1

Answer: 1*10- 3 is the standard form of 0.001

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A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, this length is bent up at an angle θ. The area A of the opening may be expressed as the function: A(θ) = 16 sin θ ⋅ (cos θ + 1). If θ = 90°, what is the area of the opening?

Answers

We are already given with the function to solve for the area:
A(θ) = 16 sin θ ⋅ (cos θ + 1)

We simply have to substitute the value of the angle into the function. So,
If θ = 90°,
A(90°) = 16 sin (90°) ( cos (90°) + 1 )

Using the calculator or the definition of trigonometric functions at angle of 90°, we get the value of the area:
A(90°) = 16 square inches

we know that

The area A of the opening may be expressed as the function:

$A(\alpha) = 16 sin \alpha* (cos \alpha + 1)$

For $\alpha =90$ °

We simply have to substitute the value of the angle into the function

$A(90) = 16*sin 90* (cos 90 + 1)$

$A(90) = 16*(1)* (0 + 1)$

$A(90) = 16 in^(2)$

therefore

the answer is

the area of the opening is $16 in^(2)$

I can't figure this equation out, help!!!!!!!!!!!!!!!!!!!!!!!***The answer is 1 and -0.5, but I just can't figure out how to work it out.***

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$(4)/(2x-1)-(2)/(x)=2;\ D:2x-1\neq0\ \wedge\ x\neq0\Rightarrow x\neq(1)/(2)\ \wedge\ x\neq0\n\n(4)/(2x-1)=2+(2)/(x)\n\n(4)/(2x-1)=(2x)/(x)+(2)/(x)\n\n(4)/(2x-1)=(2x+2)/(x)\n\ncross\ multiply\n\n(2x-1)(2x+2)=4x\n4x^2+4x-2x-2-4x=0\n4x^2-2x-2=0\n4x^2-4x+2x-2=0$

$4x(x-1)+2(x-1)=0\n(x-1)(4x+2)=0\iff x-1=0\ \vee\ 4x+2=0\nx=1\in D\ \vee\ x=-(1)/(2)\in D\n\nSolutions:x=-(1)/(2)\ or\ x=1.$

Pentagon PQRST and its reflection, pentagon P'Q'R'S'T', are shown in the coordinate plane below:Pentagon PQRST and pentagon P prime Q prime R prime S prime T prime on the coordinate plane with ordered pairs at P negative 4, 6, at Q negative 7, 4, at R negative 6, 1, at S negative 2, 1, at T negative 1, 4, at P prime 4, 6, at Q prime 7, 4, at R prime 6, 1, at S prime 2, 1, at T prime 1, 4.

What is the line of reflection between pentagons PQRST and P'Q'R'S'T'?

x = 0
y = x
y = 0
x = 1

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I have graphed the given coordinates of both pentagons. The reflection was across the y-axis where coordinates of Pentagon PQRST (-x,y) resulted to Pentagon P'Q'R'S'T' (x,y). The line of reflection between the pentagons was x = 0. Line of reflection is the midway between the pre-image and its reflection.

Yes, the answer is A. x=0. Another way to say "reflect across the y-axis" is to say "reflect across the line x=0" since the line created by graphing x=0 is the same as the y-axis. An image that is a reflection across the y-axis, or across the line x=0, will have opposite x-coordinates from the pre-image but identical y-coordinates. In other words, the x value points just changed signs from negative to positive values since it went through the rule (x, y) → (−x, y).

A bowling alley charges $3.50 per game plus $5 to rent shoes. A second bowling alley charges $5 per game plus $2 to rent shoes. Howmany games would a person have to play for the two bowling alleys to cost the same amount?

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Answer:

2 games for both bowling alleys to cost the same amount

Write the number 28.75 to the nearest whole number

Answers

It would be 29.

Hope This Helps You!
Good Luck Studying :)

Multiply
2y-2u9•3y9•u6
Simplify your answer as much as possible.

Answers

Step-by-step explanation:

this is you answer solved.

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Find two consecutive whole numbers that 51 lies between.

Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a week? HELP!!!!!

At the beginning of the year, Noah had $90 in savings and saved an additional $10 each week thereafter. Jace started the year with $50 and saved $20 every week. Let NN represent the amount of money Noah has saved tt weeks after the beginning of the year and let JJ represent the amount of money Jace has saved tt weeks after the beginning of the year. Graph each function and determine the number of weeks after the beginning of the year until Noah and Jace have the same amount of money saved.