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3 years ago

The point halfway between two endpoints of a line segment is

Mathematics

1 answer:

denis23 [38]3 years ago

8 0

The point halfway between two endpoints of a line segment is called the midpoint of the line segment.

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Which angle must have the same measure as angle x

Savatey [412]

Answer:

Two angles that have the same measure are called congruent angles. Here are two angles that both measure 30°. We say that angle x is congruent to angle y.

Step-by-step explanation:

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3 years ago

Evaluate the given integral by changing to polar coordinates. sin(x2 + y2) dA R , where R is the region in the first quadrant be

koban [17]

Set

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dA=r\,\mathrm dr\,\mathrm d\theta$

The region $R$ is given in polar coordinates by the set

$R=\left\{(r,\theta)\mid2\le r\le3,0\le\theta\le\dfrac\pi2\right\}$

So we have

$\displaystyle\iint_R\sin(x^2+y^2)\,\mathrm dA=\int_0^{\pi/2}\int_2^3r\sin(r^2)\,\mathrm dr\,\mathrm d\theta=\boxed{\frac\pi4(\cos4-\cos9)}$

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3 years ago

A) I sell one piece of wood for £1000, however the price has increased by 5000% how much do I make from selling 64 pieces of woo

Sidana [21]

A) £3264000.

. £1000 increased by 5000% =£51,000

. £51,000×64=£3264000

B) £6528000

. £2000 increased by 5000% =£102,000

. £102,000×64=£6528000

Step-by-step explanation

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2 years ago

The product of two consecutive odd integers is 72. Write a quadratic equation to find the integers,

zimovet [89]

Answer:

$x^2 + x - 72 = 0$

Explanation:

We are given product of two consecutive odd integers is equal to 72.

Let one integer be x , then since these are consecutive and odd so the other integer will be equal to x + 1.

Their product is equal to 72. So,

x * (x + 1) = 72

=> $x^2 + x = 72$

=> $x^2 + x - 72 = 0$ is the required quadratic equation.

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3 years ago

Dylan and three of his friends went to dinner at Texas Roadhouse. The cost of the meal was $41.56. If they split the bill equall

Volgvan

Each person would pay 10.39 a piece

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3 years ago