Answer: B would be the answer
Step-by-step explanation:
The rulers show that each side is 6inches ALSO that is an equilateral triangle.
I hope this helps have a great rest of your day and good luck with school:)
The angle of depression from the top of the building is missing, therefore, we will consider it to be 60°, for your understanding.
Now,
According to the right triangle rule, we are given the angle, the adjacent side, and we have to find the opposite side.
Therefore,
Using SOH CAH TOA laws,
<span><span>SOH means,
Sine Ф = Opposite / Hypotenuse
</span><span>
CAH means,
Cosine Ф = Adjacent / Hypotenuse
</span><span>
TOA means,
Tangent Ф = Opposite / Adjacent
Where,
Ф is the angle of depression.
Hence,
Using Tangent Ф = Opposite / Adjacent</span></span>
Tangent 60° = Opposite / 60
1.73 = Opposite / 60
1.73 × 60 = Opposite
Opposite = 103.8 feet away from the <span>base of the building</span>
The volume of the sphere is given as:
π = 3.14
r = 4.5 inches
Using the values, we get:
Thus, the volume of sphere rounded of to nearest tenth is 381.5 cubic inches
Answer:
x = -16
Step-by-step explanation:
2/3 x + 1 = 1/6 x -7
Multiply both sides of the equation by 6 to eliminate the fraction
6*(2/3 x + 1) =6( 1/6 x -7)
4x +6 = x -42
Subtract x from each side
4x-x +6 = -42
3x +6= - 42
Subtract 6 from each side
3x+6-6 = -42-6
3x = -48
3x/3 = -48/3
x = -16
Answer: y = - 9
Step-by-step explanation:
Two lines are said to be perpendicular if the product of their slope = 1 , that is , if the slope of the first line is and the slope of the second line is , then = , that is :
X = -1
The line given is ; 2x + y = - 4
Make y the subject of the formula so that the equation will be in slope - intercept form ; y = mx + c
that is
y = -2x - 4
comparing with the equation of line y = mx + c , it shows that = -2
Since the second line is perpendicular to this line , it means =
That is
=
Using the formula y - = m ( x - ) to find the equation of the line
= -8
= 2
substituting into the equation
y - (-8) = ( x - 2)
y + 8 = ( x- 2)
2(y+8) = x - 2
2y + 16 = x - 2
2y = x - 2 - 16
2y = x - 18
y = - 18/2
y = - 9