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3 years ago

PLEASE I NEED HELP!!!

Mathematics

1 answer:

Volgvan3 years ago

4 0

A. The perimeter of quadrilaterals are same when x=2.

B. The area of quadrilaterals are same when x=4.6

Step-by-step explanation:

A. Perimeter of the quadrilaterals must be equal.

Perimeter of square is 4a.
where, a = 6
Perimeter of rectangle is 2(l+b).
where, l = 2 and b = (3x+4)

Perimeter of square = Perimeter of rectangle

4(6) = 2(2+3x+4)

⇒ 24 = 2(3x+6)

⇒ 24 = 6x + 12

⇒ 6x = 12

⇒ x = 12/6

x = 2

For x=2, the perimeters of both the quadrilaterals are same.

B. Area of the quadrilaterals must be equal.

Area of square is a².
where, a = 6.
Area of rectangle is l $\times$ b.
where, l = 2 and b = (3x+4)

Area of square = Area of rectangle

(6)² = 2(3x+4)

36 = 6x+8

6x = 28

x = 28/6

x = 4.6

For x=4.6, the area of both the quadrilaterals are same.

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2,3,5,9,17,33 what are the next three terms?

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Given sequence is:

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Let us find the logic used in this sequence

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Thus the sequence is increasing by 2 raised to power 0, 1, 2 and so on

Thus the next three terms are found by:

$33 + 2^5 =33 + 32= 65\\\\65 + 2^6 = 65 + 64 = 129\\\\129 + 2^7 = 129 + 128 = 257$

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Step-by-step explanation:

The binomial probability parameters given are;

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The binomial probability is given as follows;

$p(x) = _{n}C_{x}\cdot p^{x}\cdot q^{1-x}$

Where:

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Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;

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