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Gnoma [55]
2 years ago
8

I really need help do can someone do it step by step so I can understand plzzzz​

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
3 0

Answer:

64 × pi m²

Step-by-step explanation:

the formulas needed for the surface area of a cone are :

base area plus the "mantle", the lateral "wall" around it.

the base area is a circle.

so, that formula is Ac = pi×r²

the "wall" formula is Aw = pi×r×s

r = radius

s = slant height = 12

the formula for the surface area of a sphere is

As = 4×pi×r²

we know now, that both surface areas are the same, and also the radius is the same for both objects.

Ac + Aw = As

pi×r² + 12×pi×r = 4×pi×r²

=>

12×pi×r = 3×pi×r²

12×pi = 3×pi×r

12 = 3×r

r = 4 m

now, we only need to use this value of r in our formulas for surface areas, like for the sphere :

4×pi×r² = 4×pi×4² = 4³×pi = 64×pi

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Renting a movie costs $ 5.99. What is the dependent variable in this situation?
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Answer:

B. price

Step-by-step explanation:

The equation is linear and looks like this:

C(x) = 5.99x

where C(x) is the cost of x number of movies.  The cost is the dependent variable, since it is dependent upon how many movies you rent at 5.99 each.

5 0
3 years ago
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Workout and simplify
Step2247 [10]

Answer:

a) ⅖+⅓ = 6/15 + 5/15 = 11/15

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7 0
3 years ago
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The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mea
zheka24 [161]

Answer:

$301 - $397

Step-by-step explanation:

Using the Empirical rule

1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

From the above question,

Mean = 349 , standard deviation = 24.

Confidence interval = 95%

Using 2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

μ – 2σ

= 349 - 2(24)

= 349 - 48

= 301

μ + 2σ

349 + 2(24)

= 349 + 48

= 397

Therefore, according to the standard deviation rule, approximately 95% of the students spent between $301 and $397 on textbooks in a semester.

8 0
3 years ago
(question is on picture linked)
nalin [4]

here y+13=15

so we got y=2

then y+13+x+12=30

then we will get x=3

7 0
2 years ago
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