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3 years ago

What is the surface area of the sphere?

Mathematics

2 answers:

Oksana_A [137]3 years ago

8 0

Answer:

1024πcm²

Step-by-step explanation:

The surface area of a sphere is found using the following formula:n A=4πr². r is the radius while A is the surface area.

in the sphere the radius is 16 cm thus:

A=4×π×16²

=1024π cm²

d1i1m1o1n [39]3 years ago

3 0

Answer:

The correct answer is third option 1024π

Step-by-step explanation:

Formula:-

Surface area of sphere = 4πr²

Where r is the radius of sphere

To find the surface area of sphere

Here r = 16

Surface area = 4πr²

= 4 * π *16²

= 4 * π * 16 * 16 = 1024π

Therefore surface area of sphere = 1024π

The correct answer is third option 1024π

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If f(z)= sqrt z2+8z , then how much does f(z) increase as z goes from 7 to 8?

Nuetrik [128]

Answer:

Step-by-step explanation:

$f(7)=\sqrt{7^2+8*7}=\sqrt{49+56}=\sqrt{105} \approx 10.247\\f(8)=\sqrt{8^2+8*8}=\sqrt{128}=8\sqrt{2} \approx 11.314\\f(8)-f(7)=11.314-10.247=1.067 \approx 1.07$

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3 years ago

What is the component form and magnitude of the vector shown?

Blababa [14]

Answer:

Step-by-step explanation:

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3 years ago

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Two number cubes are rolled for two separate events:

andrew11 [14]

Answer: $\bold{P(B|A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{11}{30}}$

<u>Step-by-step explanation:</u>

The probability of Event B given Event A = the intersection of Event A and B divided by the probability of Event A. (see below for the symbols)

$P(B|A)=\dfrac{P(B\cap A)}{P(A)}$

P(A) = (1, 6), (1, 5), (1, 4), (1, 3), (1, 2), (1, 1)

(2, 6), (2, 5), (2, 4), (2, 3), (2, 2), (2, 1)

(3, 6), (3, 5), (3, 4), (3, 3), (3, 2), (3, 1)

(4, 5), (4, 4), (4, 3), (4, 2), (4, 1)

(5, 4), (5, 3), (5, 2), (5, 1)

(6, 3), (6, 2), (6, 1)

= 30

P(B) = (1, 2), (2, 1) sum = 3

(1, 5), (2, 4), (3, 3), (4, 2), (5, 1) sum = 6

(3, 6), (4, 5), (5, 4), (5, 4), (6, 3) sum = 9

(6, 6) sum = 12

= 12

P(A ∩ B) = (1, 2), (2, 1)

(1, 5), (2, 4), (3, 3), (4, 2), (5, 1)

(3, 6), (4, 5), (5, 4), (5, 4), (6, 3)

= 11

7 0

3 years ago

3c-4 (a+b) if a =-1, b=2 and c = 1/3

Ksju [112]

Plug in each variable.

3(1/3)-4(-1+2)

Simplify

1-4(-1+2)

-3(1)

-3

6 0

3 years ago

2x + 5y = -3<br> 2x + 2y = 6

oee [108]

Answer:

(6, - 3 )

Step-by-step explanation:

Given the 2 equations

2x + 5y = - 3 → (1)

2x + 2y = 6 → (2)

Subtracting (1) from (2) term by term will eliminate the x- term

(2x - 2x) + (2y - 5y) = 6 - (- 3), that is

- 3y = 9 ( divide both sides by - 3 )

y = - 3

Substitute y = - 3 in either of the 2 equations and solve for x

Substituting y = - 3 in (1)

2x + 5(- 3) = - 3

2x - 15 = - 3 ( add 15 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Solution is (6, - 3 )

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3 years ago

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