Answer:
$0.46
Step-by-step explanation:
Price= $5.75
Sales tax= 8%
8/100 because we're looking for 8% from 100%
Multiply
5.75*0.08
Answer:
The possible values of x are 90°, 30° and 150°.
Step-by-step explanation:
Given that,
sin(2x) = cos(x) where 0° ≤ x < 180°
We know that, sin(2x) = 2 sinx cosx
2 sinx cosx = cosx
Subtract cosx on both sides
2 sinx cosx - cosx = 0
cosx (2sinx-1)=0
It means, cosx = 0 and (2sin x -1 ) = 0
cos x = cos0 and sinx = 1/2
x = 90° and x = 30°, 150°
Hence, the possible values of x are 90°, 30° and 150°.
Answer
2.5q
Explanation
Product means multiplication
(q × 5)/2 = (5q)/2
= 2.5q
Answer: t= 4 seconds
Maximum height = 256 feet
Step-by-step explanation:
The height of the object projected upwards after t seconds is given by
s(t)=-16t^2+128t.
The expression is a quadratic equation. When this equation is plotted on a graph, height against time, it takes the shape of a parabola whose vertex represents the maximum height attained by the object.
To get the value of t at the maximum height,
t = -b/2a
From the equation,
a = -16
b = 128
t = -128/-2×-16
= -128 /- 32= 4
it will take 4 seconds to reach its maximum height
To find maximum height attained, put t= 4 in the equation
s(t)=-16t^2+128t
S = -16× 4^2 + 128×4
S = -256+512
S = 256 feet
Answer:
1350
Step-by-step explanation:
Initially 90 squirrels were tagged out of a total population of x squirrels.
Similarly, 42 squirrels out of a sample of 630 squirrels had tag
We can use ratio equality to find the total population x.
42:90=620:x
Cross multiplying
42 X x = 630 X 90
Dividing both sides by 42
The total number of squirrels in the city park is 1350.
