We would use the sine function because we have an angle the hypotenuse, and the unknown opposite side.
sin(x)=opposite/hypotenuse
sin(60)=x/30
√3/2=x/30 (cross multiply)
30*√3/2=x (divide numerators and denominators by 2)
x=15√3 ft.
So the correct answer is A
Hope this helps
Answer: a. 14/30= 7/15
b. 16/30=8/15
C. 7/15= 47%
D.8/15= 53%
Step-by-step explanation:
Answer:
the other sides are 9 and 12
Step-by-step explanation:
use the Pythagorean theorem.
a^{2} +b^{2} =c^{2}
you know that c^2 is 225 because 15*15=225
a^{2} +b^{2} =225
(from here on I just plugged numbers in)
3:4=9:12
9^{2} +12^{2} =225
81+144=225
225=225
Yaaaaay!
(Also can I please have Brainliest? I need it to level up!)
Since line c and d are parallel, line a can act as a transversal. Thus, x=124 degrees because of the alternate exterior angle relationship that can be seen.
Answer:
6kg pure copper and 30 kg 10% copper was mixed to give 36kg of 25% alloy
Step-by-step explanation:
Here, we want to produce 36 kg of 25% alloy
Let the Pure copper be x kg while 10% alloy be y kg
Pure copper is simply 100% copper
Thus;
x + y = 36 •••••(i)
Then;
100% of x + 10% of y = 25% of 36
= x + 0.1y = 9 •••••• ii)
From i x = 36-y
from ii, x = 9-0.1y
Equate both x
36-y = 9-0.1y
36-9 = 0.1y + y
0.9y = 27
y = 27/0.9
y = 30
x = 36-y
x = 36-30
x = 6 kg
