Let one angle be x.
Other angle = x + 30°
Given, angles are complementary;
x + x + 30 = 90
2x = 60
x = 30°
Hence, the angles are 30° and 60°.
Answer: it contains 200 grams of zinc.
Step-by-step explanation:
Ratio of zinc to copper is 4 to 15 = 4;15
Total ratio = 4+15= 19
We first find amount of both zinc and copper( the whole chemical) which is equal to
ratio of copper / total ratio x (the entire chemical--total grams of zinc and copper) =amount of copper
15/19 x X = 750
X= 750 X 19 / 15= 950 grams
To find amount of zinc in the chemical = ratio of zinc / total ratio x total amount of chemical
=4/19 x 950
=200 grams
65Answer:
we can use sin to find the missing length
Step-by-step explanation:
The ratio states that sin of an angle=opposite/hypotenuse
sin(65)=x/6 since we know the angle and the hypotenuse we need to figure out the opposite side
sin(65)=0.906307...
0.906307=x/6
Multiply 6 on both sides to isolate x
The answer is 5.4378...
Rounded to the hundredth is 5.44
Solve for x:
-3 (3 x + 15) - (x + 10) = 35
-3 (3 x + 15) = -9 x - 45:
-9 x - 45 - (x + 10) = 35
-(x + 10) = -x - 10:
-9 x + -x - 10 - 45 = 35
Grouping like terms, -x - 9 x - 45 - 10 = (-9 x - x) + (-45 - 10):
(-9 x - x) + (-45 - 10) = 35
-9 x - x = -10 x:
-10 x + (-45 - 10) = 35
-45 - 10 = -55:
-55 - 10 x = 35
Add 55 to both sides:
(55 - 55) - 10 x = 55 + 35
55 - 55 = 0:
-10 x = 35 + 55
35 + 55 = 90:
-10 x = 90
Divide both sides of -10 x = 90 by -10:
(-10 x)/(-10) = 90/(-10)
(-10)/(-10) = 1:
x = 90/(-10)
The gcd of 90 and -10 is 10, so 90/(-10) = (10×9)/(10 (-1)) = 10/10×9/(-1) = 9/(-1):
x = 9/(-1)
Multiply numerator and denominator of 9/(-1) by -1:
Answer: x = -9
The answer is A.) 1/4(n-64) because if you distribute the 1/4 onto the parentheses it becomes n/4 - 16 which is equivalent to 1/4 - 16 if n were to equal 1.
