Step-by-step explanation:
5(2x+4)=15
10x+20=15
10x=15-20
<u>1</u><u>0</u><u>x</u>= <u>-</u><u>5</u>
10. 10
x=-1/2
Answer:
28 ft
Step-by-step explanation:
The height of the triangle = 15 ft
The least required area A = 210 ft^2
We know that the area of a triangle = 1/2bh
Where
b is the base
h is the height
Substituting, we have
210 = 1/2 x b x 15
210 = 15/2 x b
420/15 = b
b = 28 ft
Answer:
The answer is D. 12
Step-by-step explanation:
In 3 hours, it prints 500 shirts. That means 6 hours it will print 1,000 shirts, in 9 hours it will print 1,500 shirts, and in 12 hours, it will print 2,000 shirts. So in 12 hours, it will print 1,800 shirts.
To evaluate cot θ given that sinθ=√6/5 we shall have:
sin θ=opposite/hypotenuse
hence
opposite=√6
hypotenuse=5
thus the adjacent will be found using the Pythagorean theorem
c²=a²+b²
plugging in the value we get:
5²=(√6)²+b²
b²=25-6
b²=19
b=√19
thus
adjacent=√19
but
cotθ=1/tanθ
tanθ=√6/√19
hence:
cotθ=√19/√6
Answer:
x = 48
Step-by-step explanation:
We now that supplementary angles (as is the case for a straight line) add up to 180 degrees.
3x - 12 + x = 180
4x = 192
x = 48