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4 years ago

A cone has a lateral area 100 pi and total surface area 136 pi. Find its radius.

Mathematics

1 answer:

cupoosta [38]4 years ago

4 0

Answer:

Radius of the cone is 6 unit.

Step-by-step explanation:

Given:

Lateral Surface Area of Cone, LSA = 100π unit²

Total Surface Area of cone, TSA = 136π unit²

Let, r be the radius of cone.

According to the question,

Total Surface area = lateral surface area + Area of circle

136π = 100π + πr²

πr² = 36π

r² = 36

r = 6

Therefore, Radius of the cone is 6 unit.

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The point A(4, 2) is reflected over the point (-1,4) and it's image is point B. What

r-ruslan [8.4K]

Answer:

B = (-6, 6)

Step-by-step explanation:

If M is the midpoint of AB, then ...

B = 2M - A

B = 2(-1, 4) -(4, 2) = (-2-4, 8-2)

B = (-6, 6)

7 0

3 years ago

Last summer there were 88 players at coach rodriguez basketball camp. this year there are 125% of this number of players. how ma

ludmilkaskok [199]

To determine the number of those who joined the basketball camp this year, we just have to multiply the number of those who joined last year by the decimal equivalent of the percentage given. That is,
x = 88(1.25)
x = 110
Therefore, there are a total of 110 players for this years basketball camp.

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3 years ago

Rotate the given triangle 90°

kati45 [8]

9514 1404 393

Answer:

$\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]$

Step-by-step explanation:

The rotation matrix for 90° CCW is ...

$\left[\begin{array}{cc}0&-1\\1&0\end{array}\right]$

Then the rotated coordinates are ...

$\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\cdot\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]$

_____

The transformation of each ordered pair is ...

(x, y) ⇒ (-y, x)

4 0

3 years ago

Read 2 more answers

Suppose we want to choose 5 letters without replacement from 16 distinct letters

Lady bird [3.3K]

Answer:

16P5

Step-by-step explanation:

16*15*14*13*12

7 0

3 years ago

Cassidy's goal is to raise more than $75 for charity. She has already raised $6. Now she is selling cupcakes for $3 each to reac

hodyreva [135]

$75= Cassidy's goal
c= number of cupcakes
a= $6 already raised

EQUATION:
75<$3c + a
substitute $6 in for a

75< $3c + 6
subtract 6 from both sides

69<3c
divide both sides by 3

23<c

Cassidy needs to sell at least 23 cupcakes to reach her goal of $75.

Answer:

FALSE: Cassidy will need to sell any number of cupcakes greater than 12 to reach her goal.

TRUE: Cassidy will need to sell any number of cupcakes greater than 23 to reach her goal.

Hope this helps! :)

3 0

3 years ago