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3 years ago

Check the picture please if you're good at math!!

Mathematics

1 answer:

Jet001 [13]3 years ago

5 0

Answer:

Step-by-step explanation:

The triangles aren't similar.

The triangles share a side so we cant use anything involving SSS SAS.

The triangles has only known congruent angle so we cant use AA.

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PLZ HALP!! I need this to be done ASAP!!

lyudmila [28]

4.5(4-x) + 36 = 202 - 2.5(3x + 28)

Distributive property

18 - 4.5x + 36 = 202 - 7.5x - 70

Combine like terms

-4.5x + 54 = -7.5x + 132

Add 7.5x to both sides

3x = 78

Divide both sides by 3

x = 26

3 0

2 years ago

The middle school students made a new game

nignag [31]

Step-by-step explanation:

0.416666666666666666666

5 0

3 years ago

The function f(x)= 1 divided by x is an example of an exponential function.<br> true<br> false

tensa zangetsu [6.8K]

This is a false statement.

Exponential functions are when there is a variable in the exponent. With x being in the denominator, this is the same as the function x^-1. Since the exponent is a number and not a variable, it is not a exponential function.

5 0

3 years ago

Add or Subtract to simplify

exis [7]

Answer:

-5x^5 + 2x^3 - 6x should be your answer

5 0

2 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