MATHEMATICS HIGH SCHOOL

If 2 dice are rolled at the same time, what is the probability of the 2 dice having the same faceValue?

Answers

Answer 1
Answer: Total number of possible results of rolling 2 dice = 6 x 6 = 36

Total number of ways they can both show the same face = 6

Probability of showing the same face = 6/36 = 1/6 = 16 and 2/3 percent.

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if a real estate company gives 3% commission on to it's agents. if an agent sold a piece of land for 12,50,000, how much cccommision did the agent get ? ​

Answers

Answer:

37500

Step-by-step explanation:

3% of 1250000

That is (3/100)*1250000

The answer is 37500

Amy got a $1,000 loan from her bank, and she had to repay $1,550. What are the principal and interest amounts in this transaction?

Answers

Answer:

Principal = $ 1,000

Interest = $ 550

Step-by-step explanation:

Given,

The total amount of the loan = $ 1,000

Since, the amount of the loan is called principal amount of the loan,

Thus, principal amount of the loan is $ 1,000

Now, the amount she return = $ 1,550,

Hence, the interest she paid = amount returned - principal amount

= $ 1550 - $ 1000

= $ 550
the principal is $1,000 and the interest is $550.   

A car has a maximum speed of 341.7 feet/second. Convert this speed to miles/hours.

Answers

341.7 feet per second = 232.98 miles per hour (rounded)
Just multiply measure in ft/s by 0.6818 to get mi/h

341.7 x 0.6818 = 232.97 mi/h

Looking north, two skyscrapers are sighted from the viewing deck of the Empire State Building at 1250 feet up. One skyscraper is sighted at a 20° angle of depression and a second skyscraper is sighted at a 30° angle of depression. How far apart are the two skyscrapers to the nearest foot?

Answers

The angle of depression is the angle between the line of sight and a vertical line.

The distance between the two skyscrapers is 1269ft

I've added as an attachment, a figure that illustrates the scenario

First, we calculate distance AB using the following tangent ratio

\mathbf{\tan(\theta) = (Opposite)/(Adjacent)}

So, we have:

\mathbf{\tan(60) = (AB)/(1250)}

Make AB the subject

\mathbf{AB = 1250 * \tan(60)}

Next, we calculate distance AC using the following tangent ratio

\mathbf{\tan(\theta) = (Opposite)/(Adjacent)}

So, we have:

\mathbf{\tan(60+10) = (AB + BC)/(1250)}

\mathbf{\tan(70) = (AB + BC)/(1250)}

Make AB + BC, the subject

\mathbf{AB + BC = 1250 * \tan(70)}

Make BC the subject

\mathbf{BC = 1250 * \tan(70) - AB}

Substitute \mathbf{AB = 1250 * \tan(60)}

\mathbf{BC = 1250 * \tan(70) - 1250 * \tan(60)}

\mathbf{BC = 1269}

Hence, the distance between the two skyscrapers is 1269ft

Read more about angles of depression at:

brainly.com/question/13697260

Answer:

Step-by-step explanation:

What is 1,000,000 written as a power of ten?

Answers

1,000,000 is written as 10^6. Other wise it would be too low or too high.

Help on these plzzzzz it is really hard

Answers

11.

Lateral area of a cube is 4*[(2.5)^2] = 4*6.25 = 25 cm^2;                    B
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