Answer:
8835.73ft^3
Step-by-step explanation:
First:
Find area of the base circle.
Diameter is 15, so radius is 7.5
Area of the base circle is 56.25pi (use formula: A=pi(r)^2 ) (also ill convert pi into decimals only later)
next find the volume of the cylinder
height is 40 so volume = 56.25pi*40 = 2250pi
next find the volume of the dome at the top.
you know the radius is 7.5
Use volume of sphere formula below :
4
/3πr^3
=1767.15
alright now add the two bolded values
1767.15+2250pi
= 8835.73
hope this helps
Answer:
x = 1 8/9 or 17/9
Step-by-step explanation:
Step 1: Add 7 to both sides.
Step 2: Divide both sides by 9.
Answer:
value of a = 6.93 m
hence , (b.)
Step-by-step explanation:
the given triangle is a right angled triangle, so
by using trigonometry.
=》

and we know,
=》

so, by above values of tan ( a ) we get,
=》

=》

=》

=》

=
=》

hence, a = 6.93 m
The vertices of polygon ABCD are at A(1, 1), B(2, 3), C(3, 2), and D(2, 1). ABCD is reflected across the x-axis and translated 2 units up to form polygon A′B′C′D′. Match each vertex of polygon A′B′C′D′ to its coordinates.Tiles
(2, 1)A′(2, -1)
(1, 1)B′<span>(-3, 4)</span>
(3, 0)C′(2, -1)
(2, 3)D′(-2, 5)
Answer:
Yes there is sufficient evidence to reject the company's evidence
Step-by-step explanation:
From the question we are told that
The sample size is n = 25
The mean is
The standard deviation is 
The z-score is z = -1.94
The null hypothesis is 
The alternative hypothesis is 
Generally the p-value is mathematically evaluated as

From the z table the area under the normal curve to the left corresponding to -1.94 is

=> 
=> 
Let assume the level of significance is 
Hence the
this mean that
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the company's evidence