Select all the compositions of rigid motions that can be described as a single translation, rotation, or reflection.

Ralph plans to sell a piece of property for 150,000. Is short-term note and 11% interest and long-term note for 9% interest. Fin

belka [17]

Answer:

Step-by-step explanation:

Short term 166,500 (150000x.11 then add that answer to 150000)

Long term 163,500

5 0

2 years ago

Which ordered pair is a solution of the equation 4x - 2y = 20? *

xxTIMURxx [149]

Answer:

(6,2)

Step-by-step explanation:

Start by plugging in 6 for x and 2 for y

4(6)-2(2) = ?

24-4 = 20

4 0

2 years ago

A die is thrown. What is the probability of getting 6?<br>(a) 0<br>b 1/6<br>c 1/2<br>d 1

Firdavs [7]

Answer:

1/6

Step-by-step explanation:

There are 6 sides on a die, labeled 1,2,3,4,5,6

P(6) = number of 6's / total numbers

= 1/6

8 0

2 years ago

Just part a I’ve done b. <br> Photo provided.

Rasek [7]

Answer:

Step-by-step explanation:

${2}^{x} = \frac{1}{32}$

${2}^{x} = \frac{1}{ {2}^{5} }$

${2}^{x} = {2}^{ - 5}$

$x = - 5$

6 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

1 year ago