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Kay [80]
3 years ago
14

Right answer gets brainlist

Mathematics
1 answer:
NemiM [27]3 years ago
4 0

Answer:

151

Step-by-step explanation:

Volume of a cone can be found using the equation below

V=π(r^2)(h/3)

<u>divide diameter by two to find the radius</u>: 8/2=4

<u>Plug the values into the equation</u>: V=π(4^2)(9/3)

<u>Simplify</u>

V=π(4^2)(9/3)

V=π(16)(3)

V=150.79

Rounds up to 151

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A wedge of cheese in the shape of a triangular prism is shown below.
BabaBlast [244]

Answer:

144 ft^2

Step-by-step explanation:

Back (vertical):  (4 ft)(8 ft) = 32 ft^2

Right side (vert.):  (4 ft)(6 ft) = 24 ft^2

Front (vert.):  (4 ft)(10 ft) = 40 ft^2

Top (horizontal):  A = (1/2)(6 ft)(8 ft) = 48 ft^2 total (top and bottom)

Total surface area is (32 + 24 + 40 + 48) ft^2, or 144 ft^2

7 0
3 years ago
At a local department store, sweaters cost $20. Due to a special, the sweaters are reduced to 60 percent of their original price
Ulleksa [173]

Answer:

12

Step-by-step explanation:

percent X money / 100=

60 X 20 / 100=12

5 0
3 years ago
Read 2 more answers
Which value in the replacement set is a solution to this equation? 4n−11=9 Replacement set: {4, 5, 6} Drag the solution into the
QveST [7]
To solve the equation, we can first collect like terms to make the process easier.
4n-11=9 -> +11 on both sides -> 4n=20
Now, we can see that 4 n's make 20, so we can work backwards to solve for n:
4n=20 -> ÷4 on both sides -> n=5
So, your answer is B - 5.
5 0
3 years ago
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How many edges and vertices does a prism with 100 sided end faced have ? Please answer as quickly as possible ≈[infinity]
Darya [45]

Answer:

We have 300 edges and 200 vertices

Step-by-step explanation:

A prism is basically a 2D shape which extends into three dimensions. Thus, it has two end faces, and one face for each side on the original shape.

In addition to the two 100-sided polygons at top and bottom, the prism will also have 100 rectangular faces.

We will solve this by Euler’s formula which ks:

V - E + F = 2

where;

V is the number of vertices (corners),

E is the number of edges

F is the number of faces (of any polyhedron).

Number of vertices is 100 surrounding the top while it's 100 at the bottom. So total V = 100 + 100 = 200 .

The number of edges is 100 at the top, and 100 at the bottom. Also an additional 100 separating the hundred vertical faces.

Total number of edges is;

E = 100 + 100 + 100 = 300.

Thus, we have 300 edges and 200 vertices

7 0
3 years ago
Line WX is tangent to circle T at point X. Line WT intersects the circle at points P and Q. The radius of circle T is 12 units a
Anastasy [175]

PQ=2PT=2 \times 12=24\Rightarrow QW=PQ+PW=24+8=32 \\ \hat{W} \:  is  \: shared, \widehat{PXW}=\widehat{WQX}\Rightarrow \bigtriangleup PWX\cong \bigtriangleup XWQ \\ \Rightarrow  \frac{WX}{QW}   =  \frac{PW}{WX}  \\ \Rightarrow  {WX}^{2}  = PW.QW = 8 \times 24 = 192\Rightarrow WX =  \sqrt{192}  = 8 \sqrt{3}\: units

5 0
3 years ago
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