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Inga [223]
2 years ago
14

Building A and Building B are 500 meters apart. There is no road between them, so to drive from building A to Building B, it is

necessary to first drive to building C and then to Building B. А 500 m b 60° B C a Find the distance from Building A to Building C. Round to the nearest whole number O 577 m O 447 m O 433 m O 250 m​

Mathematics
1 answer:
Hatshy [7]2 years ago
3 0

The distance from building A to building C is 433m

<h3>Right angle triangle:</h3>
  • A right angle triangle has one of its angle as 90 degrees. The sides can be found using trigonometric ratios.

Therefore,

sin 60° = opposite / hypotenuse

sin 60° = b / 500

cross multiply

b = 500 sin 60°

b = 500 × 0.86602540378

b = 433.0127

b = 433 meters

learn more on right angle triangle here: brainly.com/question/20795478

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Change from Standard Form into<br> Slope-Intercept Form<br> 6.<br> 2x - 3y = 12<br> Help please
lidiya [134]

Answer:

y = 2/3x - 4

Step-by-step explanation:

2x - 3y = 12

-3y = -2x + 12

y = 2/3x - 4

4 0
2 years ago
SOMEONE PLEASE HELP I DIDNT PAY ATTENTION IN CLASS
Sophie [7]

Answer:

58 m^{2}

Step-by-step explanation:

Seperate it into two pieces;

Piece 1, base of 2, height of 9

Piece 2, base of 8, height of 5.

Area of Piece 1:

A = bh

A = 2 (9) = 18

Area of Piece 2:

A = bh

A = 8 (5) = 40

Add the areas of both pieces:

18 + 40 = 58 m2

8 0
3 years ago
{WILL GIVE BRAINLIEST} pls solve show work or just do on paper and send me a picture
Nadusha1986 [10]

Answer:

you torched a kid today

Step-by-step explanation:

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3 0
2 years ago
Consider the geometric sequence below.
vladimir1956 [14]

Answer:

f(1) = 8

Common ratio: 0.5

Step-by-step explanation:

f(1) means the firs term in a sequence.

In the function f(n), represented by 8, 4, 2, 1, .., the first term is 8.

f(1) = 8

To find the common ratio, divide any term by the term before it.

We can use any two of the given terms in the sequence EXCEPT for 8 because it is the first term and does not have a term before it.

I choose to divide the second term by the first term:

4/8 = 1/2 = 0.5

3 0
3 years ago
It takes 3 hours to paddle a kayak 12 miles downstream and 4 hours for the return trip upstream. Find the rate of the kayak in s
Furkat [3]

The rate of the kayak in still water is 3.5 mph

<h3><u>Solution:</u></h3>

Given that It takes 3 hours to paddle a kayak 12 miles downstream

Distance covered in downstream = 12 miles

Time taken to cover downstream = 3 hours

Also given that it takes 4 hours for the return trip upstream

Distance covered in upstream = 12 miles

Time taken to cover upstream = 4 hours

<em><u>Formula to remember:</u></em>

If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: Speed downstream = (u + v) km/hr and Speed upstream = (u - v) km/hr

Let the speed of Kayak in still water = x mph

And The speed of current = y mph

For downstream:

Speed downstream = x + y

We know that speed = \frac{distance}{time}

\frac{distance}{time} = x + y

x + y = \frac{12}{3}

x + y = 4  ------ eqn 1

<em><u>For upstream:</u></em>

Speed upstream = x - y

\frac{12}{4} = x - y

x - y = 3 -------- eqn 2

Now let us eqn 1 and eqn 2

Add eqn 1 and eqn 2

x + y + x - y = 4 + 3

2x = 7

x = 3.5

speed of Kayak in still water = x mph  = 3.5 mph

6 0
3 years ago
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