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Pavlova-9 [17]
3 years ago
9

Rewrite the fraction 5 over 4 as an equivalent fraction with a denominator equal to 16

Mathematics
2 answers:
RUDIKE [14]3 years ago
8 0
5/4

*4

5*4=20/ 4*4=16

20/16
irakobra [83]3 years ago
4 0
5/4=
20/16
Answer: 20/16
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Determine each of the following.
castortr0y [4]

Answer:

(a) \{1,2,3,4,5,6,7,8,9,10\}

(b) 10

(c) \{\}

(d) 0

(e) 1024

Step-by-step explanation:

(a)

A = {x ∈ Z | 0 < x, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

0                ... (1)

x^2\leq 100

Taking square root on both sides.

-\sqrt{100}\leq x\leq \sqrt{100}

-10\leq x\leq 10             .... (2)

Using (1) and (2) we get

0

Since x ∈ Z,

A=\{1,2,3,4,5,6,7,8,9,10\}

(b)

We need to find the value of  | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.

|A|=10

| {x ∈ Z | 0 < x, x² ≤ 100}| = 10

(c)

B = {x ∈ Z | x > 10, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

x>10                ... (3)

x^2\leq 100

It means

-10\leq x\leq 10             .... (4)

Inequality (3) and (4) have no common solution, so B is null set or empty set.

B=\{\}

(d)

We need to find the value of |{x ∈ Z | x > 10, x² ≤ 100}| or |B|. It means have to find the number of elements in set B.

|B|=0

|{x ∈ Z | x > 10, x² ≤ 100}| = 0

(e)

We need to find the value of | P(A) |. P(A) is the power set of set A.

Number of elements of a power set is

N=2^n

where, n is the number of elements of set A.

We know that the number of elements of set is 10. So the value of |P(A)| is

|P(A)|=2^{10}

|P(A)|=1024

Therefore |P(A)|=1024.

7 0
3 years ago
Triangle ABC is an oblique triangle. If angle A equals 57°, angle B equals 73°, and AB equals 24 in, what is the length of AC?
natulia [17]

Step-by-step explanation:

\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}

Angle C must = [180 - 73 - 57 ] = [180 - 130] = 50°

And using rhw Law if Sines, we have.....

AB/sin C = AC/sin B → 24/sin(50) = AC/sin(73) → AC = 24*sin(73)/sin(50) = about 29.96 in

5 0
3 years ago
The image represents a rectangular patio that has a length equal to 4 feet more than the width. What is the perimeter of the pat
IrinaK [193]

Answer:

  4w+8 feet

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of its sides. Since opposite sides are identical in length, it can be computed as double the sum of adjacent side lengths. Here, the lengths are in feet.

  P = 2(L+W)

  P = 2((w+4) +w)

  P = 4w +8

The perimeter of the patio is 4w+8 feet.

4 0
2 years ago
271403 rounded to the nearest ten thousand
ella [17]

Answer:

271,403 is rounded to 270,000 because the 1403 before it is less than 5000, 4 and below drop it down, 5 or more bump it up.

Step-by-step explanation:

7 0
3 years ago
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Determine whether or not the set is well defined. (x l x is an expensive boat on the Great Lakes)
Natasha_Volkova [10]
A, well defined.

Hope this helps!
8 0
3 years ago
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