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jarptica [38.1K]
3 years ago
9

Simplify 4.5+ 3.1(2x + y) + 1.2y.

Mathematics
2 answers:
Step2247 [10]3 years ago
4 0

Answer:

6.2x+4.3y+4.5

Step-by-step explanation:

Mrac [35]3 years ago
3 0

Answer:

see image

Step-by-step explanation:

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Present and contrast at leat 2 different methods of finding the volume of a cylinder with height h and radius r.
Vilka [71]

Answer:

Volume V= πr²h

Volume V= base * height

Step-by-step explanation:

Volume is the capacity of an object which is obtained by multiplying area with height. Volume of a cylinder is generally calculated by two formulas.

Volume of  a cylinder V= πr²h Where r is the radius and h is the height

Volume of a cylinder V= base * height

If we analyse the two formula keeping in mind that  the base of the cylinder is circular . The area of a circle is given by πr². In this first formula we can find the area of the base by applying the formula of the circular region. Volume is measured by multiplying length , breadth and height, or area with height. In both the formulas given above we find the area and then multiply with the height.

8 0
4 years ago
Using calculus, you can find a function’s maximum or minimum by differentiating and setting the result to zero. Do this for equa
Elenna [48]

Answer:

\dfrac{dx}{d\theta}=\dfrac{2v_0^2\cos2\theta}{g}

x=\dfrac{v_0^2}{g} at \theta=45

Step-by-step explanation:

x=\dfrac{v_0^2\sin2\theta}{g}

Differentiating with respect to \theta means v_0 and g are constants. So we differentiate only the \sin2\theta term.

Assume y=\sin2\theta.

Let u=2\theta.

\dfrac{du}{d\theta}=2

Also, y becomes

y=\sin u

\dfrac{dy}{du}=\cos u

By chain rule,

\dfrac{dy}{d\theta}=\dfrac{dy}{du}\cdot \dfrac{du}{d\theta}

\dfrac{dy}{d\theta}=\cos u\cdot2=2\cos u=2\cos 2\theta

Adding back the constants,

\dfrac{dx}{d\theta} = \dfrac{2v_0^2\cos2\theta}{g}

Equating this to 0,

\dfrac{dx}{d\theta}=\dfrac{2v_0^2\cos2\theta}{g}=0

\cos2\theta=0

2\theta = \cos^{-1}0=90

\theta=45

Using this value of \theta in the expression for x,

x=\dfrac{v_0^2\sin(2\times145)}{g}=\dfrac{v_0^2\sin90}{g}=\dfrac{v_0^2}{g} (since \sin90=1)

7 0
4 years ago
Can someone help me calculate the area of this object?
nekit [7.7K]
Answer: 272.9 cm^2

How to:

25 * 8 = 200

9 * 8.1 = 72.9

Add the areas of the two rectangles

200 + 72.9 = 272.9 cm^2
7 0
2 years ago
A local store sells oranges at a price for 6 fo $9.00. If Alley wants to buy 10 oranges what would the total price be?
skelet666 [1.2K]

Answer:

15$

Step-by-step explanation:

you need to check how much of e costs and you do that by dividing the price by the amount and than comes up to 1.5 that's for 1 and for 10 it's 15 hope that helps

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3 years ago
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It requires 15 gallons of mulch to cover 5 flowerbeds. How many gallons are needed to cover 7 flowerbeds?
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21 gallons at least are required
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