MATHEMATICS HIGH SCHOOL

Can someone tell me if I did this right? Given b = 12, c = 15 and A = 60° in triangle ABC, use the Law of Cosines to solve for a. Fill in the blank(s) to complete each step. If applicable, be sure to enter all decimal numbers with a zero in the ones place. Round your final answer to the nearest hundredth.

Answers

Answer 1
Answer:

Answer:

a=13.74 units

Step-by-step explanation:

Given are two sides and angle of a triangle ABC

use cosine formula for triangles

a^2=b^2+c^2-2bccosA\n=144+225-360(0.5)\n=369-180\n=189

Now we got the square of the third side

Take square root and round off to two decimals to get exact value of a

a =13.74 units

Note: In a triangle, if 3 independent dimensions are known we can find out all missing sides and angles using sine formula or cosine formula
Answer 2
Answer: a^2= b^2+c^2 - 2bc.cosA

a^2= (12)^2 + (15)^2 - 2 x 12 x 15 cos60

a^2= 144+225 - 2 x 12 x 15 x 0.5

a^2 = 369 - 180

a^2= 189
now take the square root of both sides.. :)

so a = 13.74 :)

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What number is 6.1% of 60

Answers

6.1\%\cdot60=0.061\cdot60=3.66

What is the sum of -45 and 17?

-28
-62
28
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Answers

Sum means to add, so just add -45 + 17. 

-45 + 17 = -28

The answer is: -28.

A water pitcher weighs 1.72 kg when empty and 2.01 kg when filled with water. How much does the water weigh?

Answers

the water weigh:
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Let f (x) 4x -5 and g (x)= 6x -3 find f (x) - g (x)

Answers

4x -5 - 6x -3=
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One hour after a hiker left camp, a biker set out to catch up. If the hiker traveled 3 miles per hour and the biker traveled 6 miles per hour faster, how long will it take for the biker to catch up with the hiker?

Answers

Answer:

30 minutes after biker left

Step-by-step explanation:

Given that :

Speed of hiker = 3 mph

Speed of biker = (3 +6) = 9 mph

Present Distance of hiker when the biker set out ;

Present Distance of hiker = speed * time = (3 * 1) = 3 miles

Time taken to catchup equals :

Present distance + (distance when biker set out) = bikers distance

Let time taken = x

(3 + (3 * x)) = (9 *x)

(3 + 3x) = 9x

3 + 3x = 9x

3 = 9x - 3x

3 = 6x

x = 3/6

x = 1/2 hours

x = 30 minutes

30 minutes after biker left

Answer:

0.5 hrs or 30 mins

Step-by-step explanation:

The number of students in a chess club decreased from 24 to 14. What is the percent decrease? Roundyour answer to the nearest percent.

Answers

Answer:

The original amount: 24

Final amount: 14

Percent of change = amount of change/original amount

Amount of change = greater value-less value = 24-14 = 10

Percent of change = 10/24 = 0.42 = 0.42%

Step-by-step explanation:
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