Answer:
height = 6 mm
Step-by-step explanation:
The prism is a rectangular prism. The base area of the prism is 24 mm². The volume of the prism is given as 144 mm³.
The height of the prism can be solved as follows.
Volume of the rectangular prism = Bh
where
B = base area
h = height
Volume = 144 mm³
B = 24 mm²
volume = Bh
144 = 24 × h
144 = 24h
divide both sides by 24
h = 144/24
h = 6 mm
The value of y from the given trig expression is pi/3 rad
<h3>Trigonometry identity</h3>
These identities are expressed in terms of sine, cosine and tangent
Given the expression

Expand sin(x+y)
sin(x+y) = sinxcosy + cosxsiny
Compare both equations
cosy = 1/2
y = arccos(1/2)
y = 60 degrees
y = pi/3 rad
Hence the value of y from the given trig expression is pi/3 rad
Learn more on trig function here: brainly.com/question/24349828
#SPJ1
1 pound is 16 ounces so 1:16 maybe?
Answer:
95
students in the seventh grade have taken swimming lessons.
Explanation:
We calculate
38
%
of
250
using the following formula:
x
=
250
×
38
100
x
=
25
0
×
38
10
0
(cancel by 10)
x
=
5
25
×
38
2
10
(cancel by 5)
x
=
5
×
19
38
1
2
(cancel by 2)
x
=
5
×
19
x
=
95
Step-by-step explanation:
Answer:
f'(x) = 5x^4 + 2x + 3x^2
Step-by-step explanation:
To find the derivative of this equation we can do two things.
One method is to use the product rule, which states that when f(x) consists of two functions multiplied to each other (meaning f(x) = g(x) * h(x)), the derivative is f'(x) = g'(x)*h(x) + g(x)*h'(x). In simple language, the derivative is found by finding the derivative of x² + 1 and multiplying it with the normal function of x³ + 1, after which you add the product of the nnormal function of x² + 1 and the derivative of x³ + 1.
it might be clearer when I show you:

If you are not familiar with this rule you can first write out the function and then use the basic rule:

If you need any further help please say so in the comments! I hope this helps! If the steps seem complicated, I suggest you could revise expanding brackets (the first step of the second method) and the basic rules of deriving, but feel free to reach out if you struggle afterwards still