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Triss [41]
3 years ago
15

ABC is a right triangle at A such that

Mathematics
1 answer:
nasty-shy [4]3 years ago
3 0

Answer:

a)

AB = 3(sq rt 48) - 5(sq rt 12) + sq rt3

AB = 3(sq rt 16x3) - 5(sq rt 4x3) + sq rt3

AB = 12(sq rt 3) - 10(sq rt 3) + sq rt3

AB = 3(sq rt 3)

b)

AC = (3 - sq rt 6)(3 + sq rt 6)

AC = 9 + 3(sq rt 6) - 3(sq rt 6) -6

AC = 9 - 6

AC = 3

BC = (3 - sq rt 5)^2 + 2(3sq rt 5-4)

BC = 9 - 6sq rt 5m + 5 + 6sq rt 5 - 8

BC = 9 + 5 - 8 = 6

BC = 6

c)

If right triangle, AB^2 + AC^2 = BC^2

(3sq rt 3)^2 + 3^2 = 6^2

27 + 9 = 36

36 = 36

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A train leaves boston and travels toward its destination at a speed of 60 mph. One hour later, an express train leaves Boston an
Margarita [4]

Taking into account the supplied speeds, Boston is from the destination to:

  • 240 miles

<h3>Calculation of the distance between Boston and Place of Destination</h3>

To identify the distance between Boston and the destination of the trains, it must be remembered that the <u>speed</u> mentioned for each one is a reference to the distance traveled per hour, therefore, after each hour, each train will travel :

  • Regular train: 60 miles
  • Express train: 80 miles

According to the information given, when the express train leaves, the regular train has a 60-mile lead, which is getting shorter hour by hour because the express train travels 20 miles per hour more than the normal train.

Therefore, in <u>three hours</u>, the express train would catch up with the regular train, calculating the distance thanks to the speed formula:

  • Speed =\frac{Distance}{Time}

And clearing the distance:

  • Distance=Speed*Time
  • Distance=80\frac{miles}{hour}*3hours
  • Distance=240miles

Therefore, the destination would be <u>240 miles</u> from Boston, which would take four hours by regular train and three hours by express train.

If you want to learn more about Mathematics, you can visit the following link: brainly.com/question/24600056

3 0
3 years ago
Which stands for 250 feet below sea level?
Lubov Fominskaja [6]
-250 feet, because you are 250 feet below sea level.
3 0
3 years ago
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Find z. Write your answer in simplest radical form.
lara [203]

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

Let's solve ~

The given triangle is a right angled Triangle, so we can apply Trigonometric relations to find the required result ;

That is :

\qquad \sf  \dashrightarrow \:  \sin(30 \degree)  =  { \dfrac{z}{2 \sqrt{2} } }

\qquad \sf  \dashrightarrow \:  \dfrac{1}{2}  =  \dfrac{z}{2 \sqrt{2} }

\qquad \sf  \dashrightarrow \: z =  \dfrac{2 \sqrt{2} }{2}

\qquad \sf  \dashrightarrow \: z =  \sqrt{2}

So, the value of z is \sqrt{}{2}

7 0
3 years ago
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Mrac [35]

D.

Step-by-step explanation:

You've got it right, the entire graph goes 3 units down, and shifted 1 to the left by p(x+1).

4 0
3 years ago
(3 4.1. A book is bought for R 50 and sold for R80.What is the percentage profit? unntmont?​
sashaice [31]

Answer:60%

R80-R50=R30

R30/R50*100%=60%

Step-by-step explanation:

8 0
2 years ago
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