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3 years ago

The area of the parallelogram shown below has an area of 72 units2

Mathematics

1 answer:

nordsb [41]3 years ago

4 0

Answer:

12 units

Step-by-step explanation:

Allow me to revise your question for a better understanding and I hope it will fit the original one.

The parallelogram shown below has an area of 72 units squared. The base is 6 and the other side is 13 Find the missing height.

Here is my answer:

Given:

The area: 72 units squared.

The base: 6 units

As we know that the area of the parallelogram is represented by below formula:

A = b*h where h is the height and b is the base

In this situation, we know:

72 = 6*h

<=> h = 12

So the missing height is 12 units

Step-by-step explanation:

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3x 3/5 help me please

ser-zykov [4K]

Answer:

9/5

Step-by-step explanation:

it is because 3/1 × 3×5

so which means 9/5

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2 years ago

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It is estimated that world reserves of oil currently stand at 2625

seraphim [82]

Answer:

35.4 years

Step-by-step explanation:

The annual consumption (in billions of units) is described by the exponential function ...

f(t) = 45.5·1.026^t

The accumulated consumption is described by the integral ...

$\displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)$

We want to find t such that the value of this integral is 2625, the estimated oil reserves.

2625 = 45.5/ln(1.026)·(1.026^t -1)

2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t

Taking natural logs, we have ...

ln(2.480832) = t·ln(1.026)

t ≈ ln(2.480832)/ln(1.026) ≈ 35.398

After about 35.4 years, the oil reserves will run out.

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2 years ago

Review the problem below. Determine when the Associative, Commutative, and Additive Inverse properties are used and which operat

solmaris [256]

Answer:

christopher columbus

Step-by-step explanation:

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2 years ago

Consider the differential equation: xy′(x2+7)y=cos(x)+e3xy. Put the differential equation into the form: y′+p(x)y=g(x), determin

icang [17]

Answer:

Linear and non-homogeneous.

Step-by-step explanation:

We are given that

$\frac{xy'}{(x^2+7)y}=cosx+\frac{e^{3x}}{y}$

We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).

We have also find type of differential equation.

$y'=\frac{(x^2+7)y}{x}(cosx+\frac{e^{3x}}{y}}$

$y'=\frac{(x^2+7)cosx}{x}y+\frac{(x^2+7)e^{3x}}{x}$

$y'-\frac{cosx(x^2+7)}{x}y=\frac{e^{3x}(x^2+7)}{x}$

It is linear differential equation because this equation is of the form

y'+P(x)y=g(x)

Compare it with first order first degree linear differential equation

$y'+P(x)y=g(x)$

$P(x)=-\frac{cosx (x^2+7)}{x},g(x)=\frac{e^{3x}(x^2+7)}{x}$

$\frac{dy}{dx}=\frac{(x^2+7)(ycosx+e^{3x})}{x}$

Homogeneous equation

$\frac{dy}{dx}=\frac{f(x,y)}{g(x,y)}$

Degree of f and g are same.

$f(x,y)=(x^2+7)(ycosx+e^{3x}),g(x,y)=x$

Degree of f and g are not same .

Therefore, it is non- homogeneous .

Linear and non-homogeneous.

3 0

3 years ago

How do i solve 2x=-3<br>i need answer ASAP

Mrrafil [7]

Answer:

$x = \frac{-3}{2} \\or \\x = -\frac{3}{2}\\or\\-1.5$

Step-by-step explanation:

2x = -3

divide 2 from both sides

$x = \frac{-3}{2} \\\\or \\x = -\frac{3}{2}$

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3 years ago

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