You must use PEMDAS.
12 ÷ 2 × 2³ = 120
12 ÷ 2 × 8 = 120
6 × 8 = 120
48 ≠ 120
If you solve without parentheses, it does not equal 120.
(12 ÷ 2) × 2³ = 120
6 × 2³ = 120
6 × 8 = 120
48 ≠ 120
If you put the parentheses around 12 ÷ 2, it does not equal 120.
12 ÷ (2 × 2³) = 120
12 ÷ (2 × 8) = 120
12 ÷ 16 = 120
0.75 ≠ 120
If you put the parentheses around 2 × 2³, it does not equal 120.
(12 ÷ 2 × 2)³ = 120
(6 × 2)³ = 120
(12)³ = 120
1728 ≠ 120
If you put the parentheses around 12 ÷ 2 × 2, it does not equal 120.
You cannot put parentheses anywhere to get the answer of 120.
Speeds are s_c for car, s_m for motorcycle.
time is 2
distance of car is:
d_c = d_m + 20, d_m is distance of motorcycle.
speed is defined as:
s = d/t, distance over time.
hence:
d_c/2 = s_c = d_m/2 + 10
s_c = s_m + 10
from problem statement we know:
s_c = 2s_m - 30
so we have 2 simultaneous equations:
<span>s_c = s_m + 10
</span><span>s_c = 2s_m - 30
</span>
multiply second by -1 and sum them both:
<span> s_c = s_m + 10
</span>-s_c = -2s_m + 30
-------------------------
0 = -s_m + 40
s_m = 40
that is the speed of the motorcycle
s_c = <span>s_m + 10
</span> s_c = 40<span> + 10
</span>s_c = 50
that is the speed of car, both speeds in miles per hour
Answer: Measure the angle of each slice of the pie chart and divide by 360 degrees. Now multiply the value by 100.
Step-by-step explanation:
Answer: A) none of the equations are identities
==========================================
Part 1
Plug in theta = 0
sin(theta+pi/2) - cos(theta+pi/6) = 2*cos(theta) - sin(theta)
sin(0+pi/2) - cos(0+pi/6) = 2*cos(0) - sin(0)
1 - sqrt(3)/2 = 2*1 - 0
0.13 = 2
which is a false equation
So we do not have an identity in equation 1.
-------------------------------------------
Part 2
Plug in theta = 0
sin(theta+pi/6) + cos(theta+pi/3) = (sqrt(2)/3)*sin(theta) + 2*cos(theta)
sin(0+pi/6) + cos(0+pi/3) = (sqrt(2)/3)*sin(0) + 2*cos(0)
1/2 + 1/2 = 0 + 2
1 = 2
which is also false
This is not an identity either.
