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3 years ago

Find the distance between a horizontal line at y = −3 and a point (–1,−5). answers: 5 units 4 units 2 units 1 units

Mathematics

1 answer:

eduard3 years ago

3 0

Answer:

2 UNITS

Step-by-step explanation:

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2 years ago

(10 + 3) - (20 ÷ 10) 2 )

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I believe the answer is 9.

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3 years ago

10x-2x in fewer terms

Aleks04 [339]

Answer:

Step-by-step explanations:

10x - 2x

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3 years ago

Evaluate the integral Find the volume of material remaining in a hemisphere of radius 2 after a cylindrical hole ofradius 1 is d

algol13

You want to find the volume inside the hemisphere $x^2+y^2+z^2=4$ (i.e. inside the sphere but above the plane $z=0$ ) and outside the cylinder $x^2+y^2=1$ . Call this region $R$ .

In cylindrical coordinates, we have

$\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_1^2\int_0^{\sqrt{4-r^2}}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$

$\displaystyle=2\pi\int_1^2 r\sqrt{4-r^2}\,\mathrm dr$

$\displaystyle=-\pi\int_3^0\sqrt u\,\mathrm du$

(where $u=4-r^2$ )

$\displaystyle=\pi\int_0^3\sqrt u\,\mathrm du$

$=\dfrac{2\pi}3u^{3/2}\bigg|_0^3=2\sqrt3\,\pi$

7 0

3 years ago

Find the values of the variables in the parallelogram. The diagram is not to scale.

Anna [14]

Answer:

Option C

Step-by-step explanation:

x = 36° as alternate interior angles are congruent
z = 110° as opposite angles of parallelogram are congruent
x + y + 110° = 180° as adjacent angles of parallelogram are supplementary
y = 180° - 110° - 36° = 34°

Correct choice is C

8 0

2 years ago