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3 years ago

During the first round of a game, Silas

Mathematics

2 answers:

natali 33 [55]3 years ago

6 0

Answer:

Step-by-step explanation:

If Silas scores 15 points during the 1st round, he will have 15 points after the 1st round.

After the 2nd round, he would have -15 points because he lost 30,

In the 3rd round, he would have -5 points because he gained 10 points

Hope this helps!

ExtremeBDS [4]3 years ago

3 0

Answer:

-5

Step-by-step explanation:

Silas starts at 0 points then goes up 15 goes down 30 to -15 got 10 more and ends in -5.

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Two buildings on level ground are 120 m and 85 m tall respectively. given that the angle of elevation of the top of the taller b

Luda [366]

Answer:

(-8,-5)

Step-by-step explanation:

7 0

2 years ago

What is the length of the hypotenuse of the right triangle if one side is 16in and one is 7in?

Ronch [10]

Answer:

hypotenuse = 17.46

Step-by-step explanation:

The Pythagorean Theorem is a^2+b^2=c^2.

Since we are finding the hypotenuse, we must plug in 16 and 7 since they represent the lengths of both side.

16^2+7^2=c^2

256+49=c^2

305=c^2

which means we have to find the square root of c^2 AND 305, round it to the nearest hundredth, which means that;

c=17.46

7 0

3 years ago

Find the sum of the convergent series 7 0.7 0.007

mafiozo [28]

$7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)$

Let $S_n$ denote the $n$ th partial sum of the series, i.e.

$S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}$

Then

$\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}$

and subtracting from $S_n$ we get

$S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}$
$\implies S_n=\dfrac{10}9\left(1-\dfrac1{10^{n+1}}\right)$

As $n\to\infty$ , the exponential term vanishes, leaving us with

$\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9$

and so

$7+0.7+0.007+\cdots=7.777\ldots=\dfrac{70}9$

3 0

3 years ago

What is the probability of drawing a black ace followed by a heart out

Verdich [7]

Correct option C) 0.98%

<u>Step-by-step explanation:</u>

We know that , there are 2 black ace cards out of 52 cards in a deck & 13 hearts out of 52 cards . Here we have to tell What is the probability of drawing a black ace followed by a heart out of a deck when the cards aren't replaced . Let's find out:

Firstly , a black ace is drawn , so probability :

⇒ $P(Black) = \frac{2}{52}$