Answer:
of an hour.
Step-by-step explanation:
Given:
Koran new chatted online with all her friends on Saturday for = 2/3 of a hour.
Koran new chatted online with all her friends on Sunday for = 1/4 of an hour.
She chatted with Penelope for = 1/8 of the total time.
Question asked:
Which fraction of an hour did Koran apes chatting with Penelope ?
Solution:
Koran new chatted online with all her friends on Saturday for = 
of an hour
Koran new chatted online with all her friends on Sunday for = 
of an hour
Total time of chatting = 
= 
( By taking LCM of 3 and 4 we get 12 )
= 
of an hour
Now, She chatted with Penelope for = 
of an hour
Therefore, Koran chat of an hour with Penelope.
Answer:
Step-by-step explanation:
1) the triangle is right, so we can use the Pythagorean theorem
x^2 + 24^2 = (16+x)^2
x^2 + 576 = x^2 + 256 + 32x
32x = 320
x = 10
2) the two segment are congruent, so
7x - 13 = 9x - 23
2x = 10
x = 5
Answer:
5.006
41.056
31.289
51.977
7.884
Step-by-step explanation:
1) sin x = opposite side / hypotenuse
sin 24.3° = 2.06 / hyp
hyp = 2.06 / sin 24.3 = 5.<u>0059</u>006616019108320511866543651
rounding to 3 significant figures
= 5.006
2)cos x = adjacent side / hypotenuse
cos 47 = 28 / x
x = 28 / cos 47 = 41.<u>0558</u>17197909497891901840157945
= 41.056
3) cos x = adjacent side / hypotenuse
cos 56.1 = x / 56.1
x = 56.1 * cos 56.1 = 31.<u>2895</u>00613760617368691451544764
= 31.289
4) tan x = opposite side / adjacent side
tan 68 = x / 21
x = 21 * tan 68 = 51.<u>9768</u>239217422123300402781676
= 51.977
5) sin x = opposite side / hypotenuse
sin 21 = x / 22
x = 22 * sin 21 = 7.<u>8840</u>948899966060166510313670963
= 7.884
Answer:
5 3/5 is already a mixed number
3 4/9 is also already a mixed number
43/9 = 36/9 + 7/9 = 4 7/9
32/5 = 30/5 + 2/5 = 6 2/5
Answer:
2.6
Step-by-step explanation:
I used the a^2+b^2=c^2 to get this answer. I squared all the number given and got 16 and 9. Then I subtract them to get 7. Finally square 7 off and got 2.6 as the final answer
Hope this helped
