Answer: 66
Step-by-step explanation:
6+4^3-8÷2
4^3 = 64
6+64-8÷2
70-8÷2
70-4 = 66
Answer: 2
Step-by-step explanation:
Change the divisor 4.5 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
90 ÷ 45 = 2
and therefore:
9 ÷ 4.5 = 2
Hello!
Slope-intercept form is written as: y = mx + b. In this equation, m is the slope and b is the y-intercept.
Given the slope, 7/6, and the y-intercept of (0, 6), we can write the completed equation.
Therefore, the equation is y = 7/6x + 6.
Answer:
Step-by-step explanation:
A right angle triangle is formed.
The length of the guy wire represents the hypotenuse of the right angle triangle.
The height of the antenna represents the opposite side of the right angle triangle.
The distance, h from base of the antenna to the point on the ground to which the antenna is attached represents the adjacent side of the triangle.
To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
41² = 32.8² + h²
1681 = 1075.84 + h²
h² = 1681 - 1075.84 = 605.16
h = √605.16
h = 24.6 m
To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos θ = 24.6/41 = 0.6
θ = Cos^-1(0.6)
θ = 53.1°