Answer:
Step-by-step explanation:
The perpendicular is equal to 6. That's because the left triangle's missing angle is 180 - 45 -90 = 45
The angle in the right triangle is given as 52.
The cos(52) = adjacent side (which we just found to be 6) / y
Multiply both sides by y
y cos(52) = 6
cos(52) = 0.6157
Divide by sides by cos(52)
y = 6 / cos(52)
y = 6 / 0.6157
y = 9.76
Answer:
Volume = 1539.38 cm³
Surface Area = 747.7 cm²
Step-by-step explanation:
Volume = πr² h
V = π(7)²(10)
V = π(49)(10)
V = 490π
V = 1539.38 cm³
Surface Area = 2πrh + 2πr²
SA = 2π(7)(10) + 2π(7)²
SA = 2π(70) + 2π(49)
SA = 140π + 98π
SA = 238π
SA = 747.7 cm²
Given
- f(n) values for n=1,2,3,4
- possible candidates for the function
Solution:
Method: Evaluate some of the values, for each function. A function with ANY value not matching the given f(n) values will be rejected.
N=1, f(n)=4
f(1)=4-3(1-1)=4
f(1)=4+3^(1+1)=4+3^2=4+9=13 ≠ 4 [rejected]
f(1)=4(3^(n-1))=4(3^0)=4
f(1)=3(4^(n-1))=3(4^0)=3*1=3 [rejected]
N=2, f(n)=12
f(1)=4-3(2-1)=4-3(1)=1 ≠ 12 [rejected]
[rejected]
f(1)=4(3^(2-1)=4*3^1=4*3=12
[rejected]
Will need to check one more to be sure
N=3, f(n)=3
[rejected]
[rejected]
f(3)=4(3^(n-1))=4(3^(3-1))=4(3^2)=4*9=36 [Good]
[rejected]
Solution: f(n)=4(3^(n-1))
Answer:
1) 0.75
2) y = 
x - 3
3) (4, 0); (0, -3)
Step-by-step explanation:
Convert to slope-intercept form (y = mx + b) by solving:
y = x - 3
m is the slope, so or you can write as 0.75.
To find the x and y intercepts, set the y value to zero and solve (x-intercept), and b is the y-intercept.
