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2 years ago

In a right triangle ABC angle B is the right angle and m angle C = 30 degrees if AC = 10 what is AB

Mathematics

1 answer:

Sindrei [870]2 years ago

8 0

Answer:

AB = 5

Step-by-step explanation:

This is a 30°-60°-90° right triangle.

AC is hypotenuse, AB is opposite side to 30° angle.

We know that in such a triangle the side opposite to 30° angle is half the hypotenuse.

So we have:

AB = 1/2AC = 1/2(10) = 5

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2x + 8y = 5 24x – 4y = –15

slega [8]

2x + 8y = 5

2/ 24x - 4y = -15

2x + 8y = 5

48x - 8x = -30

--------------------------

50x = -25

x = -1/2

2 * -1/2 + 8y = 5

-1 + 8y = 5

8y = 6

y = 6/8

y = 3/4

x = -1/2 y = 3/4

5 0

3 years ago

2. Find the length of AD if the length of AB is

vlabodo [156]

Step-by-step explanation:

can you please show the picture too

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2 years ago

A man walking on a railroad bridge is 2/5 of the way along the bridge when he notices a train at a distance approaching at the c

makkiz [27]

Answer:

The Man needs to run at 9 mph

Step-by-step explanation:

Let M stand for the man's speed in mph. When the man

runs toward point A, the relative speed of the train with respect

to the man is the train's speed plus the man's speed (45 + M).

When he runs toward point B, the relative speed of the train is the

train's speed minus the man's speed (45 - M).

When he runs toward the train the distance he covers is 2 units.

When he runs in the direction of the train the distance he covers

is 3 units. We can now write that the ratio of the relative speed

of the train when he is running toward point A to the relative speed

of the train when he is running toward point B, is equal to the

inverse ratio of the two distance units or

(45 + M) 3

----------- = ---

(45 - M) 2

90+2 M=135-3 M

⇒5 M = 45

⇒ M = 9 mph

The Man needs to run at 9 mph

3 0

2 years ago

Read 2 more answers

Correct answer gets brainliest or who ever answered first

timurjin [86]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Two boats leave a port at the same time, one going north and the other traveling south. The northbound boat travels 18 mph fast

shutvik [7]

Answer:

10 hours

Step-by-step explanation:

Two boats leave a port at the same time, one going north and the other traveling south.

Southbound boat rate = 40 mph

The northbound boat travels 18 mph faster than the southbound boat.

Northbound boat rate = 40 + 18 = 58 mph

Two boats rate = 40 + 58 = 98 mph (this means they are apart 98 km after one hour)

Total distance = 980 miles

Total rate = 98 mph

Time $=980:98=10$ hours

3 0

2 years ago