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finlep [7]
3 years ago
14

What is the volume of a right circular cylinder that has a height of 5 units and a base that has a radius of 3 units?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0
The formula is v= pie r squared times heigh so the answer would be 141.4 r squares
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Justice lived in Germany and Hollands for a total of 24 months in order to learn German. He learned and average of 120 words per
lesantik [10]

Answer:

Justice lived in Germany for 15 months and he lived in Holland for 9 months.

Step-by-step explanation:

1. You must make a system of equations:

\left \{ {{x+y=24} \atop {120x+220y=3780}} \right.

Where x is the number on months he lived in Germany and y is the number on months he lived in Holland.

2. You can solve this system of equations by using the Elimination Method. If you multiply the first equation by -120, you can cancel the variable x when you add both equations, and then you can calculate y. When you obtain the value of y, you can substitute it into one of the original equations and solve for x. Then:

 \left \{ {{-120x-120=-2880} \atop {120x+220y=3780}} \right.

100y=900\\y=9

x+y=24\\x+9=24\\x=15

7 0
3 years ago
B R S are two points on a circle,
uysha [10]

Answer:

Proved!

Step-by-step explanation:

Since TS is a tangent to the circle, ∠TSO = 90°.

Hence, ∠OSR = 90° - x.

Since OS and OR are radius, OS = OR.

So, ∠ORS = ∠OSR = 90° - x.

Thus, ∠ROS = 180° - ∠OSR - ∠ORS = 180° - 2 * (90° - x) = 180° - 180° + 2x = 2x.

So, it is proved.

4 0
3 years ago
Find the Surface Area of the right triangular prism.
Elis [28]
It’s always gonna be 60 Units this is just an known fact
8 0
3 years ago
Help me find D ! Finding coordinates of vertices of polygons. Please and Thank You
Strike441 [17]

Answer:

(q,0)

Step-by-step explanation:

See the diagram given.

It is clear from the coordinates of the points given that point C (0,r) lies on the Y-axis and point E (-q,o) lies on the X-axis. Hence, point D must be on the X-axis.

ΔCDE being an isosceles triangle, the origin of the coordinate axes will be on the DE line and it will be at the midpoint of DE.

Therefore, ΔCDE will be symmetric with respect to the Y-axis and the coordinates of point D will be (q,0). (Answer)

8 0
3 years ago
Maxim and Salma were asked to find an explicit formula for the sequence 54,63,72,81,... Maxim said the formula is f(n)=54+9n Sal
Sever21 [200]

ANSWER

The explicit rule is

f(n) = 45+9n

EXPLANATION

The given sequence is :

54,63,72,81,...

The first term of this sequence is

a = 54

The common difference is

d =63 - 54 = 9

The explicit rule is given by:

f(n) = a + d(n - 1)f(n) = 54+9(n -1 )

We expand to get:

f(n) = 54+9n -9

f(n) = 45+9n

None of them is correct .

8 0
4 years ago
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