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seraphim [82]
3 years ago
11

What is the surface area of a sphere that has a diameter of 1.5 in.? A) 7.07 in.2 B) 8.64 in.2 C) 18.84 in.2 D) 28.26 in.2

Mathematics
1 answer:
Aleks [24]3 years ago
7 0
Hello!

To find the surface area of a sphere you use the equation

A = 4 \pi r^{2}

A is surface area
r is radius

Put in the values you know and 3.14 for pi

A = 4 * 3.14 * 1.5^{2}

Square the number

A = 4 * 3.14 * 2.25

Multiply

A = 28.26

The answer is D)28.26in squared

Hope this helps!
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Mrrafil [7]

Answer:

See below.

Step-by-step explanation:

1)

So we have the limit:

\lim_{x\to 4} (f\circ g)(x)

This is equivalent to:

\lim_{x\to 4} f(g(x))

To solve, we can use the following property:

\lim_{x \to c} f(g(x))=f(  \lim_{x \to c} g(x))

Therefore, our limit is the same as:

\lim_{x\to 4} f(g(x))\\=f(\lim_{x\to 4} g(x))

We are already given that the limit as x approaches 4 of g(x) is -2. Therefore:

=f(-2)

You simply need to evaluate this to solve the limit. I don't have enough information to solve this, so maybe you have something more.

Similarly, for the second one:

2)

We have:

\lim_{x\to 4} (g\circ f)(x)\\=\lim_{x\to 4}g(f(x))

Using the same property:

=g(\lim_{x\to 4} f(x))

And we are told that this is 16, so:

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I hope you find this helpful!

8 0
2 years ago
Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Ma
yawa3891 [41]

Answer:

x+ 2y ≥  240  is the linear inequality in standard form for this situation.

Step-by-step explanation:

Let the number of hot chocolates sold = x

Cost of each hot chocolate = $1

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Cost of each hot chocolate = $2

So, the total amount earned =  x ( $1)  + y ($2)

Also, the total amount earned should at least be $240

Hence, according to the question

x+ 2y ≥  240  is the linear inequality in standard form for this situation.

6 0
3 years ago
The figure shows two similar triangles:
nasty-shy [4]

Answer:

An exterior angle of a triangle is equal to the sum of the two remote

Step-by-step explanation:

2 a b c. 13. 10 z. 169 100 z. 269 z z. 269 16.4. +. = +. = +. = = = ≈. 3 – 4 – 5 x6 x6 x6 ... x 12. = = = = w y z x.

3 0
2 years ago
What does the blank equal??
kolbaska11 [484]

Answer:

To a power, elevated to something

5 0
3 years ago
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Please help!! its due in 9 minutes
Grace [21]

Answer:

Times it by 40. That is the pattern.

3 0
2 years ago
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