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2 years ago

What is a equivalent ratio to 12/18

1 answer:

7 0

We can multiply 12/18 by 1, but in a different form. We multiply both the numerator and denominator by 10 trillion, we get an equivalent ration.
So 120,000,000,000,000/180,000,000,000,000

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A pattern exists among the units digit of the posers of 8 as shown in the diagram.

guajiro [1.7K]

Answer:

B) 4

Step-by-step explanation:

We can solve this by observing some pattern.

The powers ending in 4 as unit digit are:

${8}^{2} , {8}^{6} , {8}^{10} , {8}^{14} , {8}^{20} ,...$

The exponents form the sequence:

2,6,10,14,20,...

We need to check if 62 belongs to this sequence.

This is an arithmetic sequence with a common difference of 4 and a first term of 2.

The explicit formula is

$2 + 4(n - 1)$

We equate this to 62 and solve for n.

$2 + 4(n - 1) = 62 \\ 4(n - 1) = 60 \\ n - 1 = 15 \\ n = 16$

Since n is a natural number, 62 belongs to the sequence.

Hence

${8}^{62}$

will have a unit digit of 4.

4 0

3 years ago

What percent of 12 is 9? A. 25% B. 67% C. 75% D. 108% E. 133%

Sergeu [11.5K]

Answer:

75%

Step-by-step explanation:

75% = 3/4

3/4 * 12 = 9

6 0

2 years ago

Find the volume of the solid that lies between planes perpendicular to the x-axis at x = pi/4 and x = 5pi/4. The cross-sections

svp [43]

Answer:

The volume of the solid = π²

Step-by-step explanation:

As per the given data of the questions,

The diameter of each disk is

D = 2 sin(x) - 2 cos(x)

So its radius is

R = sin(x) - cos(x).

The area of each disk is

$= \pi \times(sinx-cosx)^{2}$

$= \pi \times [sin^{2}(x) - 2 sin(x) cos(x) + cos^{2}(x)]$

$= \pi[1-2sin(x)cos(x)]$

$= \pi[1-sin(2x)]$

Now,

Integrate from $x=\frac{\pi}{4}\ \ \ to\ \ \ x=\frac{5\pi}{4}$ , we get volume:

$V=\int_{\frac{\pi}{4}}^{\frac{5\pi}{4}} \pi[1-sin(2x)]dx$

After integrate without limit we get

$V=\pi[x+\frac{cos2x}{2}]$

Now after putting the limit, we get

V = π²

Hence, the required volume of the solid = π²

3 0

3 years ago

Which of the economic goals correlates with the explanation "the ability of people to make choices"?

valentinak56 [21]

The correct answer is D, freedom. This is because equity only refers to everything being equal, innovation refers to the a new idea, and efficiency refers to being able to do something with ease. Only freedom makes sense in regards to people being able to make their own choices.

4 0

3 years ago

Plzzzzz help asappppppp

wariber [46]

The measure of angle 7 is 61 degrees by the Alternate interior angles theorem.

The alternate interior angles theorem states that, the alternate interior angles are congruent when the transversal intersects two parallel lines. Hence, it is proved. Alternate interior angles can be calculated by using properties of the parallel lines.

3 0

2 years ago