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gladu [14]
3 years ago
12

Carson graphs the line y= -1/4 + 4. Then Riley's graphs the line perpendicular to the line Carson's line through the point (8,10

) what is the slope of Riley's line?
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0

Answer:

4/1 or 4

Step-by-step explanation:

when graphing perpendicular lines, the slopes are reciprocals of eachother

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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
simplify (x − 2)(x + 9) using the table method, and identify the resulting expression in standard form.
NeX [460]

Answer:

this should be right if not comment and I'll relook it.

FOIL Method.

You will get the same answer x^2+ 7x- 18

5 0
3 years ago
Read 2 more answers
Don’t answer if you don’t know, plz. Thanks.
horrorfan [7]
B. I did this test too.
7 0
2 years ago
A large mixing tank currently contains 350 gallons of water, into which 10 pounds of sugar have been mixed. A tap will open, pou
Marysya12 [62]

Answer

Let t be number of minutes since tap is opened

water is increased by 20 gallons of water per minute.

sugar increase rate of 3 pounds per minute

water :- W(t) = 350 + 10 t

sugar :- S(t) = 10 + 3 t

concentration

C(t) = \dfrac{S(t)}{W(t)}

at t = 15 minutes

C(15) = \dfrac{S(15)}{W(15)}

C(15) = \dfrac{10 + 3\times 15 }{350 + 10\times 15}

C(15) = 0.11

at beginning t = 0 minutes

C(0) = \dfrac{S(0)}{W(0)}

C(0) = \dfrac{10 + 3\times 0}{350 + 10\times 0}

C(0) = 0.0286

C(15) > C(0)

hence, concentration is increasing as time is passing.

3 0
3 years ago
I need help is it A B C or D
deff fn [24]
I would say c as the answer

8 0
3 years ago
Read 2 more answers
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