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2 years ago

Which THREE pairs of measurements are possible side lengths for a 30-60-90 triangle?

Mathematics

1 answer:

9966 [12]2 years ago

4 0

Answer:

1, 5 and 6.

Step-by-step explanation:

The sides of this triangles has lengths in the ratio x : √3x : 2x where 2x is the hypotenuse.

When C = 30, the side AB is the small leg (=x).

When B = 90, the hypotenuse is AC ( =2x).

When A = 60, the larger leg is BC (=√3x).

1. AB = 4, BC = 4√3 :- Are possible legs.

5 AB = 7, AC = 14. :- AB = small leg, AC = hypotenuse.

6. AB = 11, BC = 11√3:- AB = small, BC = larger leg.

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A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these ho

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Suppose F represents the value that a room is unlocked.

Then, we can assume that the probability of unlocked homes is:

P(unlocked homes) = P(U)

P(unlocked homes) = 40%

P(unlocked homes) = 0.40

Also, let us represent the value of the locked room with G.

P(locked homes) = P(G)

P(locked homes) = (1 - 0.40)

P(locked homes) = 0.60

Let the probability of selecting a correct key be P(S)

It implies that for the agent to use 3 keys, we have a combination of $^8C_3$ possible ways for the set of keys.

Now; since only one will open the house, then:

P(select correct key) = P(S)

$P(S) = \dfrac{ (^1_1) (^7_2) }{ ^8_3 }$

$P(S) = \dfrac{21}{56}$

P(S) = 0.375

Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:

P(F ∪ (G∩S) = P(F) + P(G∩S)

P(F ∪ (G∩S) = P(F) + P(G) × P(S)

P(F ∪ (G∩S) = 0.40 + (0.60×0.375)

P(F ∪ (G∩S) = 0.40 + 0.225

P(F ∪ (G∩S) =0.625

5 0

1 year ago

Thee questionn is beloww

Phantasy [73]

Given:

$m\angle ABC=60$

To find:

The $m\angle ADC$ .

Solution:

In circle B, $\angle ABC$ is central angle and $\angle ADC$ is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

$m\angle ABC=2(m\angle ADC)$ [Central angle theorem]

$60=2(m\angle ADC)$

Divide both sides by 2.

$\dfrac{60}{2}=m\angle ADC$

$30=m\angle ADC$

Therefore, $m\angle ADC=30$ .

6 0

2 years ago

What is the product of −3/11 and <br> −2/15?

Dafna11 [192]

Multiply -3/11 and -2/15 straight across

-3(-2) = 6
11(15) = 165

6/165 is your product, or 0.036 (rounded)

hope this helps

5 0

2 years ago

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Does anyone else like Gavin Magnus? If so what are your favorte things about him! I'mgiving brainliest

alekssr [168]

I LOVE OUR SWEET MATCHLESS CHRIST JESUS!

4 0

1 year ago

A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shi

jeka94

Answer:

1, 3, & 5

Step-by-step explanation:

Select three options.

1. The inequality should be written as 25 s less than 300.

2. The inequality should be written as 25 s greater than 300.

3. The circle is open.

4. The circle is closed.

5. The arrow points left.

I'm guessing these are the options? If so, please mark brainliest :)

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2 years ago

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