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Genrish500 [490]
3 years ago
12

PLEASE HELP ME!!

Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Answer:

B) 38.4

Step-by-step explanation:

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Pls help
KATRIN_1 [288]

Answer:

169.04 in² (nearest hundredth)

Step-by-step explanation:

Surface area of a cone = \pir² + \pirl

(where r = radius of the base and l = slant height)

Given slant height l = 10 and surface area = 188.5

Surface area  = \pir² + \pirl

188.5 = \pir² + 10\pir

\pir² + 10\pir - 188.5 = 0

r = \frac{-10\pi +\sqrt{(10\pi )^2-(4\times\pi \times-188.5)} }{2\pi } = 4.219621117...

Volume of a cone = (1/3)\pir²h

(where r = radius of the base and h = height)

We need to find an expression for h in terms of l using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height

r² + h² = l²

h² = l² - r²

h = √(l² - r²)

Therefore, substituting found expression for h:

volume of a cone = (1/3)\pir²√(l² - r²)

Given slant height l = 10 and r = 4.219621117...

volume = 169.0431969... = 169.04 in² (nearest hundredth)

5 0
3 years ago
Read 2 more answers
What are the leading coefficient, constant term and degree, if any, of the algebraic expression 1+x^3
MA_775_DIABLO [31]
The degree refers to the x to some exponent where the highest exponent is the degree.
Degree: 3
The leading coefficient is the coefficient of the term we just found(of the highest exponent)
Leading Coefficient: 1
The constant term is the term without an x in it.
Constant Term: 1
4 0
3 years ago
Three brothers spent different amounts of money on their recent vacation.
Fofino [41]
What is the full question
6 0
3 years ago
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Paige and her family went to the movies. They bought 4 tickets and paid $12 for popcorn. They spent $40. How much did each ticke
Scorpion4ik [409]

Answer:

Cost of tickets: $7. Equation: 40 = 4x + 12.

Step-by-step explanation:

6 0
3 years ago
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Five grams of sugar are added to a 40-gram serving of a breakfast cereal that is 10% sugar. What is the percent concentration of
tamaranim1 [39]
10g+0.10(40g)=14 grams of sugar.
7 0
3 years ago
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