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Alika [10]
2 years ago
8

A solid shape is made by joining two cones.

Mathematics
1 answer:
dlinn [17]2 years ago
3 0

The surface area of the solid shape is the amount of space on it

The radius of the two cones is 2.93 cm

<h3>How to determine the radius?</h3>

The given parameters are:

  • Cone 1: slant height, l = 2r
  • Cone 2: slant height, L = 3r
  • Surface area = 135. 21 cm²

The surface area of the shape is calculated using:

T = πr(L + l)

So, we have:

135.21 = πr(2r + 3r)

Evaluate

135.21 = 5πr²

Divide both sides by 5π

r² = 135.21/5π

Evaluate the quotient

r² = 8.61

Take the square root of both sides

r = 2.93

Hence, the radius of the cones is 2.93 cm

Read more about surface area at:

brainly.com/question/6613758

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Answer:

Okay, So neither a spade nor a jack.

Total no. of cards in adeck =52  

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Total number of non-spades out of  52  cards  =52−13=39  

Number of jack out of 52  cards =4  

Number of jack in each of three suits namely hearts, diamonds and clubs =  3  

[Since, 1 jack is already included in the 13 spades so, here we will take number of jacks is  3 ]

Neither a spade nor a jack  =39−3=36  cards in total.

Therefore, probability of getting ‘neither a spade nor a jack’=

NumberoffavorableoutcomesTotalnumberofpossibleoutcome  

=(362)/(522)  

=630/1326=105/221

Step-by-step explanation:

I hoped i helped i might have put to much but there u go!!

4 0
3 years ago
If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many diff
Papessa [141]

Answer:

  (a)  1024 ways

  (b)  243 ways

Step-by-step explanation:

When answers are independent, the total number of ways all questions can be answered is the product of the number of ways each question can be answered.

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<h3>(a)</h3>

The first question can have one answer 4 ways. The second question can be answered 4 ways for each of the ways the first question was answered. That is, the two questions can be answered 4×4 = 16 ways. Similarly, each additional question multiplies the number of ways the questions can be answered by 4.

The 5 questions can be answered 4×4×4×4×4 = 4^5 = 1024 ways.

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<h3>(b)</h3>

There are 3 ways to answer the first question incorrectly. Each additional question can be answered incorrectly 3 ways for each of the ways previous questions were answered. The total number of ways all questions can be answered incorrectly is ...

  3^5 = 243

A student can answer all questions wrong in 243 different ways.

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2 years ago
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nlexa [21]

y = -|x + 4|

The coordinates of vertex of that function is (x; 0).

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|x + 4| = 0 ⇔ x + 4 = 0 |-4

x = -4

Answer: (-4; 0)

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3 years ago
Use the commutative property to multiply 2.35 x 24
Alenkinab [10]

Answer:

2.35 x 24 = 56.4

Step-by-step explanation:

Hoped this helped.

3 0
3 years ago
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