Answer: 1
−
1
(
s
e
c
2
−
1
t
a
n
2
)
Step-by-step explanation:
Answer:
56cm, y=5x+6
Step-by-step explanation:
The baby panda's initial or starting length is 5cm. This is the y-intercept or b value. We also know that the panda increases every week by 5 cm. This is the rate of change or slope. This is m. We can write in slope-intercept form y=mx+b.
y=5x+6
We substitute x=10. y=5(10)+6=56cm
Answer: 109.1 degrees
Step-by-step explanation:
To find the angle between the given vectors, we will use the formula below:
Cos(θ) = (U.V)/ |U|.|V|
Where
U = 13i - 8j
V = 2i + 9j
U.V = (2x13) + (-8×9)
U.V = 26 - 72
U.V = - 46
|U| = sqrt ( 13^2 + 8^2)
= sqrt ( 233) = 15.264
|V| = sqrt( 2^2 + 9^2)
= sqrt ( 85 ) = 9.22
Substitute all the value of the parameters into the formula
Cos ø = -46 / (15.3 × 9.2)
Cos ø = - 46 / 140.72
Cos Ø = - 32687
Find the cos inverse of the value
Ø = cos^-1( -32687)
Ø = 109.079 degrees
Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees
Answer:
Total cost= $86.25
Step-by-step explanation:
Giving the following information:
Discount= 10%
Nill= $82.5
Tip= 15%
<u>First, we need to calculate the discounted price:</u>
Discount price= 82.5 / 1.1= $75
<u>Now, the tip:</u>
Tip= 75*0.15= $11.25
<u>Finally, the total cost:</u>
Total cost= 75 + 11.25
Total cost= $86.25
The slope of the given line is -4/3. the slope of any perpendicular line is the negative reciprocals, or 3/4
