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2 years ago

What is the correct value of z? A. Z=12 B. Z=13 C. Z=10 D. Z=11

Mathematics

1 answer:

inna [77]2 years ago

3 0

<h3>Answer: A) z = 12</h3>

==========================================

Work Shown:

RS = RT

2z-15 = 9

2z = 9+15

2z = 24

z = 24/2

z = 12

The reason why RS is equal to RT in the first equation is because we have an isosceles triangle. Recall that any isosceles triangle has exactly two sides the same length, and the opposite base angles are congruent to one another. The congruent angles are indicated with the single arcs.

In short: the base angles S and T are congruent, so the opposite sides RS and RT are the same length. This leads to RS = RT.

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3 years ago

You roll a 6-sided die.<br>What is P(prime)?<br>Write your answer as a percentage.<br>Submit

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You roll a 6-sided die. The probability of getting prime is 50%.

<u>Solution:</u>

Given, that we have rolled a 6 – sided die.

We have to find the P(prime) as percentage.

Now, It means that we have to find the probability of getting a prime number on the face.

On rolling a six sided die, the total possible outcomes are 1, 2, 3, 4, 5, 6

Number of possible outcomes = 6

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The prime numbers in possible outcomes are 2, 3, 5

So number of favorable outcomes = 3

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3 0

3 years ago

The time period, T, of a simple pendulum is directly proportional to the square root of the length, d, of the pendulum.

bearhunter [10]

Answer: T= 3.54

Step-by-step explanation:

Step 1

Given that

The time period, T, s doirectly proportional to the square root of the length, d, of the pendulum, we have that

T ∝ $\sqrt{d}$

Introducing the constant of proportionality, we have that

T= K $\sqrt{d}$ .

Step 2

When d=6, T=5, K =?

T= K $\sqrt{d}$ .

5 = k $\sqrt{6}$

5= k x 2.44949

k =5/2.44949

k =2.041

Therefore, when d = 3 , T= ?

T= K $\sqrt{d}$

T= 2.041 x $\sqrt{3}$

T= 3.53511≈ 3.54

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3 years ago