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Oliga [24]
3 years ago
15

A cylinder has a base diameter of 10cm and a height of 14cm. What is its volume in cubic cm, to the nearest tenths place?

Mathematics
2 answers:
irinina [24]3 years ago
8 0
diameter :  \  d = 10cm \\height : \ h=14 \ cm \\ \\r=\frac{d}{2}=\frac{10}{2}=5 cm \\ \\volume \ of \ a \ cylinder \ is \ equal \\ \\V= \pi r^2h \\ \\V= \pi\cdot  5^2 \cdot 14 =3.14\cdot 25 \cdot 14 = 1099.0 \ cm^3 \\ \\ Answer : \   its \ volume \ is \ 1099 \  cubic \ cm
Dvinal [7]3 years ago
3 0
Volume of any cylinder = π times (radius)² times (height or length)

Radius of your cylinder = 1/2 of the diameter =5 cm

Volume = π (5 cm)² (14 cm) = 350 π cm³ = 1,099.56 cm³ (rounded)
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[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation
irina1246 [14]

Answer:

y=-\frac{158}{579}

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]

And the vector B is formed with the solution of each equation of the system:b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called A_{2}.

A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]

The value of y using Cramer's rule is:

y=\frac{det(A_{2}) }{det(A)}

Find the value of the determinant of each matrix, and divide:

y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}

y=-\frac{158}{579}

7 0
3 years ago
Please help me I’m trying to pass this
melamori03 [73]

Answer:

I think the answer is D

Step-by-step explanation:

SOHCAHTOA

sin- Opposite and hypotenuses

Cos- Adjacent and Hypothesis

Tan- Opposite and adjacent

DE is opposite and DF is hypotenuses

7 0
3 years ago
Find the area of a square that has a perimeter of 24 cm.
Colt1911 [192]

Answer:36

Step-by-step explanation: since a square has 4 sides you divide 24 by 4 to see what one side equals which is 6 then you do 6 times 6 because that's how you find area of a square which gets you 36

5 0
3 years ago
Read 2 more answers
Pwease help me anyone. thanks :-) :-) :-) :-) :-) :-) :-) :-)!!!!
adell [148]
A)
x+3

b)
x(x+3)=340\\
x^2+3x-340=0

c)
x(x+3)=340\\ x^2+3x-340=0\\
\Delta=3^2-4\cdot1\cdot(-340)=9+1360=1369\\\sqrt{\Delta}=37\\
x_1=\dfrac{-3-37}{2}=-20\\
x_2=\dfrac{-3+37}{2}=17

It's 17.
3 0
3 years ago
What is the answer to this quation
svetlana [45]

Answer:

Step-by-step explanation:

g(t)=t^2 - t

f(x) = (1 + x)

g(f(x)) = f(x)^2 - f(x)

g(f(x)) = (x + 1)^2 - x - 1

g(f(0)) = (0 +1)^2 - x - 1

g(f(0)) = 1 - 1  - 1 = -1

================================

f(x) = 1 + x

f(g(t)) = 1 + g(t)

f(g(t)) = 1 + t^2 - t

f(g(0)) = 1 + 0 - 0

f(g(0)) = 1

The answer I'm getting is 0.

8 0
3 years ago
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