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3 years ago

PLEASEEEE PLEASEEE ANSWER

Mathematics

1 answer:

defon3 years ago

8 0

Answer:

n = 8 cm

Step-by-step explanation:

When two chords intersect each other inside a circle, the products of their segments are equal

Look to the attached figure

In the circle two chords are intersected at a point inside it

∵ The two chords are intersected in a point inside the circle

∴ The product of their segments are equal

∵ The segments of one chord are 4 centimeters and 6 centimeters

∵ The segments of the other chords are n and 3 centimeters

- Multiply each two segments and equate their products

∴ n × 3 = 4 × 6

∴ 3 n = 24

- Divide both sides by 3

∴ n = 8

∴ The value of n is 8 centimeters

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Alja [10]

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5 0

3 years ago

y is inversely proportional to a^3. When a=2, y=10. a is directly proportional to x. When x=4, a=20. Find a formula for y in ter

marshall27 [118]

Answer:

Step-by-step explanation:

If y is inversely proportional to a^3, this is expressed as;

y∝1/a³

y = k/a³ where k is the proportionality constant

Given a=2, y=10, then 10 = k/2³

k = 10*2³

k = 80

Substituting k = 80 back into the formula;

y = 80/a³ ............. 1

Similarly, if a is directly proportional to x, then a ∝ x i.e a = kx

If x=4, a=20 then;

20 = 4k

k = 20/4

k = 5

Substituting k = 5 back into the formula;

a = 5x ....... 2

Substitute equation 2 into 1;

y = 80/a³

y = 80/(5x)³

y = 80/125x³

y = 16/25x³

<em>Hence the formula for y in terms of x is y = 16/25x³</em>

3 0

3 years ago

PLS HELP! I'M SO STUCK!!

adoni [48]

Answer:

Step-by-step explanation:

i just kinda figured it out

4 0

3 years ago

please help with this.....

sladkih [1.3K]

Answer:

Step-by-step explanation:

you can find the diagonal of a rectangle if you have the width and the height

7 0

3 years ago

#2 <br> #3 <br> Need help for my discrete math class

miss Akunina [59]

For (2), start with the base case. When n = 2, we have

(n + 1)! = (2 + 1)! = 3! = 6

2ⁿ = 2² = 4

6 > 4, so the case of n = 2 is true.

Now assume the inequality holds for n = k, so that

(k + 1)! > 2ᵏ

Under this hypothesis, we want to show the inequality holds for n = k + 1. By definition of factorial, we have

((k + 1) + 1)! = (k + 2)! = (k + 2) (k + 1)!

Then by our hypothesis,

(k + 2) (k + 1)! > (k + 2) 2ᵏ = k•2ᵏ + 2ᵏ⁺¹

and k•2ᵏ ≥ 2•2² = 8, so

k•2ᵏ + 2ᵏ⁺¹ ≥ 8 + 2ᵏ⁺¹ > 2ᵏ⁺¹

which proves the claim.

Unfortunately, I can't help you with (3). Sorry!

3 0

3 years ago