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Alla [95]
3 years ago
8

Simplify: 45x^6/9x^4 anyone?

Mathematics
1 answer:
aliina [53]3 years ago
8 0
45x^6/9x^4 = 5x^(6 - 4) = 5x^2
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" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a
ASHA 777 [7]

Answer:

No, the cone will not hold all of the ice cream.

Step-by-step explanation:

Given:

" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a  height of 6 inches.

If you place one scoops of ice cream (in the shape of a sphere) with a diameter of 2 7/8 inches would let  it melt.

Now, to explain mathematically will the cone hold all of the ice cream.

<u>Taking the value of π = 3.14.</u>

So, to get the volume of waffle cone we put formula:

Height (h) = 6 inches.

Diameter = 2\frac{5}{8}=\frac{21}{8}\ inches.

Thus radius (r) = Diameter ÷ 2 = \frac{\frac{21}{8}}{2} =\frac{21}{16} \ inches.

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

Volume=3.14\times \frac{21}{16} \times \frac{21}{16} \times \frac{6}{3}

Volume=3.14\times 1.31\times 1.31\times 2

Volume=10.78\ inches^3.

The volume of waffle cone = 10.78 inches³.

Now, to get the volume of scoop which is in the shape of sphere we put formula:

Diameter = 2\frac{7}{8} =\frac{23}{8} \ inches.

Thus radius (r) = Diameter ÷ 2 =\frac{\frac{23}{8}}{2} =\frac{23}{16} \ inches.

Volume = \frac{4}{3} \pi r^3

Volume = \frac{4}{3} \times 3.14\times \frac{23}{16} \times \frac{23}{16} \times \frac{23}{16}

Volume=1.33\times 3.14\times 1.44\times 1.44\times 1.44

Volume=12.47\ inches^3.

<em>The volume of one scoop of ice cream = 12.47 inches³.</em>

<u><em>So, as the volume of scoop of ice cream is more than the volume of cone.</em></u>

<u><em>Thus, if placing one scoop of ice cream in the cone and let it melt, the cone will not hold all of the ice cream.</em></u>

Therefore, no the cone will not hold all of the ice cream.

5 0
2 years ago
CAN SOMEONE HELP ME PLEASEEE
Tom [10]

Answer:

a. 45 degrees

b. 315 degrees

c. 8π

d. π

e. 7π

f. 16π

g. 2π

6 0
3 years ago
Factor the following problems SHOW YOUR WORK<br> 1. x^2+16x+24<br> 2. x^2-10a+25
Juliette [100K]
There is no work to show. It is really just trial and error till you get the hang of it. You look at the multiples of the last term and find.which add or subtract to the middle terms coefficient. Use DeCartes law of signs to determine if it is plus or minus.
1. Does not factor solve using other method
2. (X-5)^2
7 0
3 years ago
In a certain​ country, the true probability of a baby being a girl is 0.469. Among the next seven randomly selected births in th
-BARSIC- [3]

Answer:

The probability is 0.995 ( approx ).

Step-by-step explanation:

Let X represents the event of baby girl,

The probability of a baby being a girl is, p = 0.469,

So, the probability of a baby who is not a girl is, q = 1 - 0.469 = 0.531,

Also, the total number of experiment, n = 7

Thus, by the binomial distribution formula,

P(x)=^nC_x(p)^x q^{n-x}

Where, ^nC_x=\frac{n!}{x!(n-x)!}

The probability that all babies are girl or there is no baby boy,

P(X=7)=^7C_7(0.469)^7(0.531)^{7-7}

=0.00499125661758

Hence, the probability that at least one of them is a boy​ = 1 - P(X=7)

= 1 - 0.00499125661758

= 0.995008743382

≈ 0.995

8 0
3 years ago
Find the area of a trapezium whose parallel sides are 28.7 cm and 22.3 cm and distance between parallel sides is 16 cm.
puteri [66]

Given:

The parallel sides of a trapezium are 28.7 cm and 22.3 cm.

The distance between parallel sides is 16 cm.

To find:

The area of a trapezium.

Solution:

The area of the trapezium is:

A=\dfrac{a+b}{2}h

Where, a,b are parallel sides and h is the vertical distance between the parallel sides.

Putting a=28.7, b=22.3,h=16 in the above formula, we get

A=\dfrac{28.7+22.3}{2}\times(16)

A=\dfrac{51}{2}\times 16

A=51\times 8

A=408

Therefore, the area of the trapezium is 408 square cm.

4 0
3 years ago
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