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Rzqust [24]
4 years ago
7

Please help! I'm raising the points to anyone that GIVES AN ANSWER- Answers such as "I'm just doing this for points" or "I don't

know I want to help you" will be reported.

Mathematics
1 answer:
Sever21 [200]4 years ago
4 0
180 = 72 + (2x) + x

subtract 72 from both sides.

108 = 3x

divide both sides by 3.

36 = x

m<DEF = 72*
m<EFD = 72*
m<EDF = 36*

M<FDG = 36 / 2 = 18 <<<<<<<
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A factory robot recently examined some bulbs, of which 2 were flawed and 18 were not. If 30 more bulbs are examined, predict how
Oksanka [162]

Answer:

3 bulbs should be flawed

Step-by-step explanation:

2+ 18 = 20

20 bulbs were examined

2/20  = 1/10 were flawed

looking at the next 30 bulbs

30 * 1/10 = 3

3 of the next 30 bulbs should be flawed


5 0
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
The elevations of four points below sea level are -47 feet, -24 feet, -8 feet, and -18 feet. The elevation of the point closest
Gelneren [198K]

The elevations of four points below sea level are -47 feet, -24 feet, -8 feet, and -18 feet.

The elevation of the point closest to sea level is feet

-8 ft

elevation of the point farthest from sea level is feet.

-47 ft

closet to sea level to farthest to sea level

-8ft , -18ft , -24ft , -47ft

4 0
3 years ago
All right angles are congruent. Converse Inverse: Contrapositive
WITCHER [35]

Answer:

No not all right angles are congruent.

Step-by-step explanation:

7 0
3 years ago
Please help I dont get it<br> x - 3 1/2 = 8.5
Vlad1618 [11]

Answer:

12

Step-by-step explanation:

x - 3\frac{1}{2} = 8.5          

x - \frac{7}{2} = 8.5         Convert the mixed fraction to a imroper fraction.

x - 3.5 = 8.5     Convert the improper fraction to a decimal number.

x = 12                Add 3.5 to both sides.

7 0
3 years ago
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