Answer:
3.42
Step-by-step explanation:
41/12 is 3.42
Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
Answer:
The small gear would be spinning at 7.5MPH
The zeroes of the polynomial are the values of x that will make the f(x) = 0.
0 = x^2 + x - 6
Use factoring,
0 = (x + 3) (x - 2)
x + 3 = 0 and x - 2 = 0
Thus, the values of x are <em>x = -3</em> and <em>x = 2</em>.
Answer: The linear function y = 60x + 90 can be used to model the relationship between the hours and costs of a repair.
Step-by-step explanation:
In this model or function we will represent the number of hours by x and the cost by y.
Using that information we can generate two points , (8, 570) and (7,510)
Now to write a linear function we will need to find the slope which will be the cost per hour, and the y intercept which will be the initial amount .
To find the slope we will find the difference in the y coordinates of the points and divide it by the difference in the x coordinates.
570 - 510 = 60
8 - 7 = 1
Slope: 60 / 1 = 60
We will have to find the y intercept by using the formula y = mx + b.
We will input the x and y coordinates of a given point plus the slope into the formula to solve for b.
570 = 60(8) + b
570 = 480 + b
-480 -480
b = 90