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natita [175]
2 years ago
9

Use the information to answer the question.

Mathematics
1 answer:
stealth61 [152]2 years ago
6 0

Answer:

before the sale, each poster was $8.49

Step-by-step explanation:

27.36 divided by 4 = 6.84 + 1.65 = 849

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a cone has a radius of 6cm and height 9 calculate a)the volume and curved surface area b) total surface area
Orlov [11]

Answer:

V = 339.3 cm³; L = 203.9 cm²; A = 317.0 cm²  

Step-by-step explanation:

a) Volume

The formula for the volume (V) of a cone is

V = ⅓πr²h

V = ⅓π × 6² × 9

V = ⅓π × 36 × 9

V = 108π cm³

V ≈ 339.3 cm³

=====

Curved surface area  

The formula for the lateral surface area (L) of a cone is

L = πr√(r² + h²)

L = π×6√(36 + 81)

L = 6π√[9(4 + 9)]

L = 6π√(9 × 13)

L = 18π√13 cm²

L ≈ 203.9 cm²

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

b) Base surface area

The base is a circle, so the formula for base surface area (B) is

B = πr²

B = π×6²

B = 36π cm²

B ≈ 113.1 cm²

=====

Total surface area

A = L + B

A = 18π√(13 +36π)

A = 18π(2 + √13) cm²

A ≈ 203.9 + 113.1

A ≈ 317.0 cm²

3 0
3 years ago
Solve the inequality |6x + 2| < 10 and graph its solution.
mars1129 [50]
This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3

Second part: when (6x + 2) is negative.

-(6x + 2) < 10   Divide both sides of inequality by -1 and change the sign.

  (6x + 2) > -10
   6x + 2 > -10
   6x > -10 - 2
   6x > -12        Divide both sides by 6.
     x > -12/6
     x > -2.

Combined solution:   x < 4/3  and x > -2

  -2 < x < 4/3.

Graph is a line on the number line between -2 and 4/3.  
 
-2 and 4/3 are excluded from solution.
8 0
2 years ago
Can somebody help me please !?
r-ruslan [8.4K]

Answer:

option 4) x = 14  y = 7

Step-by-step explanation:

We are given a side angle and a side length so we can use trigonometry to find the solution

To find x we can use sine because the given side length is opposite to the angle so,

sin(60) = \frac{7\sqrt{3} }{x}

solve for x and you get 14 (make sure you check that your calculator is in degrees)

for either use Pythagorean theorem or remove sine by tangent.

4 0
2 years ago
One-fourth of the sum of 6 and 2 times c exceeds 3.
Sergeeva-Olga [200]
1/4(6 + 2c) > 3
0.25 (6+ 2c) > 3
1.5 + 0.5c > 3
0.5c > 1.5
c > 3

Or multiply both sides by 4 to get rid of the 1/4,
6 + 2c > 12
2c > 6
c >3
4 0
3 years ago
7m-9n for m=7 and n=5
Svet_ta [14]

Answer:

4

Step-by-step explanation:

7*7-9*5

49-45

4

8 0
3 years ago
Read 2 more answers
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