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2 years ago

What is the equation of a line that is perpendicular to the line that is given by the equation y = 2?

1 answer:

6 0

First, put the equation of the line giveninto slope-intercept form by solving fory. You get y = 2x +5, so the slope is –2.Perpendicular lines have opposite-reciprocal slopes, so the slope of theline we want to find is 1/2. answer y=-1/2

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The computer game Peter wants to buy will cost at least $50 and not more than $70. He earns $3 an hour running errands for his g

Lunna [17]

Answer:

The answer to your question is C

Just try it out

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3 years ago

Read 2 more answers

Add: 7,288 + 6,627 + 4,515

PIT_PIT [208]

18,430! I hope this helps you out!

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3 years ago

Equation with angles can someone please answer helpppp

Elden [556K]

Answer:

$x = 18°\\\angle A = 73°$

Step-by-step explanation:

By interior angle property on one side of the transversal.

$\angle A+ \angle B = 180°\\6x - 35° + 3x + 53° = 180°\\9x + 18° = 180°\\9x = 180° - 18°\\9x = 162°\\x = \frac{162°}{9}\\ \huge \red {\boxed {x = 18°}} \\\therefore \angle A = 6x - 35°\\\therefore \angle A = 6\times 18°- 35°\\\therefore \angle A = 108°- 35°\\ \huge \purple {\boxed{\therefore \angle A = 73°}} \\$

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3 years ago

Are 5/6 and -4.713 on the same side or the opposite side of zero ?

Alchen [17]

They are on opposite sides of zero because one number is negative and one is positive

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3 years ago

An icicle with a diameter of 15.5 centimeters at the top, tapers down in the shape of a cone with a length of

Helga [31]

Answer:

Step-by-step explanation:

Note: I will leave the answers as fraction and in terms of pi unless the question states rounding conditions to ensure maximum precision.

From the question, we can tell it is a inversed-cone (upside down)

Volume of Cone = $\pi r^{2} \frac{h}{3}$

a) Given Diameter , d = 15.5cm and Length , h = 350cm,

we first find the radius.

$r = \frac{d}{2} \\=\frac{15.5}{2} \\=7.75cm$

We will now find the volume of the cone.

Volume of cone $\pi (7.75)^{2} \frac{350}{3} \\= \frac{168175\pi }{24}$

We know the density of ice is 0.93 grams per $1cm^{3}$

$1cm^{3} =0.93g\\\frac{168175\pi }{24} cm^{3} =0.93(\frac{168175\pi }{24} )\\= 20473 g$ (Nearest Gram)

b) After 1 hour, we know that the new radius = 7.75cm - 0.35cm = 7.4cm

and the new length, h = 350cm - 15cm = 335cm

Now we will find the volume of this newly-shaped cone.

Volume of cone = $\pi (7.4)^{2} \frac{335}{3} \\= \frac{91723\pi }{15} cm^{3}$

Volume of cone being melted = New Volume - Original volume

= $\frac{168175\pi }{24} -\frac{91723\pi }{15} \\= \frac{35697\pi }{40} cm^{3}$

c) Lets take the bucket as a round cylinder.

Given radius of bucket, r = 12.5cm (Half of Diameter) and h , height = 30cm.

Volume of cylinder = $\pi r^{2} h\\=\pi (12.5)^{2} (30)\\=\frac{9375\pi }{2} cm^{3}$

To overflow the bucket, the volume of ice melted must be more than the bucket volume.

Volume of ice melted after 5 hours = $5(\frac{35697\pi }{40} )\\=\frac{35697\pi }{8} cm^{3}$

See, from here of course you are unable to tell whether the bucket will overflow as all are in fractions, but fret not, we can just find the difference.

Volume of bucket - Volume of ice melted after 5 hours

= $\frac{9375\pi }{2} -\frac{35697\pi }{8 } \\=\frac{1803\pi }{8}cm^{3}$

from we can see the bucket can still hold more melted ice even after 5 hours therefore it will not overflow.

4 0

2 years ago