Answer:
Step-by-step explanation:
cos x=sin 2x
sin 2x-cos x=0
2 sin x cos x-cos x=0
cos x(2 sin x-1)=0
either cos x=0
or
2 sin x-1=0
For line B to AC: y - 6 = (1/3)(x - 4); y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14
For line A to BC: y - 6 = (-1)(x - 0); y - 6 = -x, so y + x = 6
Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:
(3y - x = 14) + (y + x = 6) => 4y = 20, y = +5; Substitute this into y + x = 6: 5 + x = 6, x = +1
<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>
Answer:
The sharing cone holds about 9 times more popcorn than the skinny cone.
Step-by-step explanation:
Cone volume:
r is the radius and h is the inches.
Skinny-size cone:
Radius is r, height h. So
Sharing size:
Radius is now 3r. So
How many times more popcorn?
The sharing cone holds about 9 times more popcorn than the skinny cone.
Answer:
Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month
Step-by-step explanation:
Melissa was charged $3 each time she used the ATM at work
She used the work ATM 24 times in a month.
Charge per usage= $3
Number of times of usage= 24
By how much did her bank account change from using the ATM at work
Total charges = charge per usage × Number of times of usage
= 3 × 24
= 72
Total charges = $72
Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month
