All categories

3 years ago

Hat is the surface area of a sphere with a diameter of 16 cm

Mathematics

1 answer:

Ludmilka [50]3 years ago

3 0

The surface area of a sphere of radius r is A = 4π*r^3.

Since the radius in this case is 8 cm (half the 17 cm diameter), the area of this sphere is

A = 4π(8 cm)^2, or 256π cm^2.

You might be interested in

Find the value of x. Then tell whether the side lengths from a Pythagorean triple sides 20,16 find x

Tema [17]

Answer:

x = 12

Step-by-step explanation:

Pythagorean triplet

12,16,20

So, the value of x is 12

x + 256 = 400

x = 400 - 256

x = 144

The square of 12 is 144

6 0

3 years ago

What’s the answer to this problem?

posledela

In order to get the answer to this question you will have to figure out how much 120 US dollars gets you in Canadian dollars.

$120=158.36$

$158.36-20=138.36$

$138.36=104.87$

$=104.87$

Therefore your answer is "104.87."

Hope this helps.

5 0

3 years ago

Read 2 more answers

If f(x) = arcsinx, then f' (√3/2)=

Irina-Kira [14]

You can either use the inverse function theorem or compute the general derivative using implicit differentiation. The first method is slightly faster.

The IFT goes like this: if f(x) is invertible and f(a) = b, then finv(b) = a (where "finv" means "inverse of f").

By definition of inverse functions, we have

f(finv(x)) = finv(f(x)) = x

Differentiating both sides of the second equality with respect to x using the chain rule gives

finv'(f(x)) * f'(x) = 1

When x = a, we get

finv'(b) * f'(a) = 1

finv'(b) = 1/f'(a)

Now let f(x) = sin(x), which is invertible over the interval -π/2 ≤ x ≤ π/2. In the interval, we have sin(x) = √3/2 when x = π/3. We also have f'(x) = cos(x).

So we take a = π/3 and b = √3/2. Then

arcsin'(√3/2) = 1/cos(π/3) = 1/(1/2) = 2

4 0

3 years ago

Situation: A DJ will play music. The DJ charges $20 per hour plus a $50 appearance fee. Represent the relationship

Colt1911 [192]

Total cost= 20x+50 x= number of hours

6 0

3 years ago

Algebra 1 please help!! 35 points!!!

Zanzabum

Answer:

x intercept: 5

y intercept: 50

Step-by-step explanation:

let us plot the graph for better understanding.

we will represent f(x) on y-axis so, the equation will become: y= 50-10x

the equation is of the form : y=mx+c

[where, m: slope of the line

c : y-intercept ]

meaning of x intercept: the x-coordinate of the point where the line meets x-axis

meaning of y intercept: the y-coordinate of the point where the line meets y-axis

the line y= 50-10x has slope of -10 and it passes through (0,50)

[ (0,50) lies on the line only. substitute and check if the point satisfies the above line equation]

by seeing the graph in the attachment and by the definitions given above, we can say that,

x intercept: 5

y intercept: 50

4 0

3 years ago