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2 years ago

Value of x to 3sf area is root 4/2^2 and sides are (x+2) and (2x-3) and angle is 45°

Mathematics

1 answer:

Debora [2.8K]2 years ago

6 0

Answer:

U have done iT correct

Step-by-step explanation:

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The green darner is one of the largest dragonflies. It weighs about four hundredths of an ounce. Write four hundredths in standa

Tju [1.3M]

Answer:

Four hundredths

In standard form - $4\times 10^{-2}$

Step-by-step explanation:

Given : The green darner is one of the largest dragonflies.

It weighs about four hundredths of an ounce.

To write : Four hundredths in standard form.

Solution :

Standard form is when we write a larger number in a smaller way.

For example : $20000= 2\times 10^4$

So, according to question

Largest dragonflies weighs about four hundredths of an ounce.

Four hundredths means 0.04

In standard form - $4\times 10^{-2}$

7 0

2 years ago

Solve the following initial-value problem, showing all work, including a clear general solution as well as the particular soluti

Vikki [24]

Answer:

General Solution is $y=x^{3}+cx^{2}$ and the particular solution is $y=x^{3}-\frac{1}{2}x^{2}$

Step-by-step explanation:

$x\frac{\mathrm{dy} }{\mathrm{d} x}=x^{3}+3y\\\\Rearranging \\\\x\frac{\mathrm{dy} }{\mathrm{d} x}-3y=x^{3}\\\\\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{3y}{x}=x^{2}$

This is a linear diffrential equation of type

$\frac{\mathrm{d} y}{\mathrm{d} x}+p(x)y=q(x)$ ..................(i)

here $p(x)=\frac{-2}{x}$

$q(x)=x^{2}$

The solution of equation i is given by

$y\times e^{\int p(x)dx}=\int e^{\int p(x)dx}\times q(x)dx$

we have $e^{\int p(x)dx}=e^{\int \frac{-2}{x}dx}\\\\e^{\int \frac{-2}{x}dx}=e^{-2ln(x)}\\\\=e^{ln(x^{-2})}\\\\=\frac{1}{x^{2} } \\\\\because e^{ln(f(x))}=f(x)]\\\\Thus\\\\e^{\int p(x)dx}=\frac{1}{x^{2}}$

Thus the solution becomes

$\tfrac{y}{x^{2}}=\int \frac{1}{x^{2}}\times x^{2}dx\\\\\tfrac{y}{x^{2}}=\int 1dx\\\\\tfrac{y}{x^{2}}=x+c$ $y=x^{3}+cx^{2$

This is the general solution now to find the particular solution we put value of x=2 for which y=6

we have $6=8+4c$

Thus solving for c we get c = -1/2

Thus particular solution becomes

$y=x^{3}-\frac{1}{2}x^{2}$

5 0

3 years ago

A cube and the net for the cube are shown. <br><br> What is the surface area of this cube?

lozanna [386]

Ok, 6×25=150, since there are 6 sides, the answer is 150cm.

3 0

3 years ago

Hello please help i’ll give brainliest

Rama09 [41]

Answer: 81

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3 years ago

Jackie can clean a house in 6 hours. When Jackie and Veronica work together, they can clean a house in about

Digiron [165]

Answer:

5.4 hr i think

Step-by-step explanation:

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2 years ago