MATHEMATICS COLLEGE

How do you find an equation of the sphere with center (4,3,5) and radius √6?

Answers

Answer 1
Answer:

Answer:

(x-4)^2+(y-3)^2+(x-5)^2=6

Step-by-step explanation:

The the center of the sphere is given as (a,b,c) and the radius is r, then the equation of the sphere would be:

(x-a)^2+(y-b)^2+(x-c)^2=r^2

From the info, we can say:

a = 4

b = 3

c = 5

r = √(6)

Plugging into formula we get the equation:

(x-a)^2+(y-b)^2+(x-c)^2=r^2\n(x-4)^2+(y-3)^2+(x-5)^2=(√(6) )^(2) \n(x-4)^2+(y-3)^2+(x-5)^2=6

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Prove that tan (pi/4 + A) tan (3pi/4 +A) = -1

Answers

Answer:

Step-by-step explanation:

tan(pi\4+A)tan(3pi\4+A) =-1

using the tangent sum of angle formula

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Answers

0.72840984877 is the answer :)

A triangle has sides with lengths of 8 kilometers, 13 kilometers, and 16kilometers. Is it a right triangle?

Answers

No, It’s not a right triangle.
We can prove by using Pythagoras theorem
Let the longest length be hypotenuse and shortest length be base now,

h^2=p^2+b^2
16^2=13^2+8^2
256=169+64
246=233


Hence it is not equal with hypotenuse
In right triangle the sum of the squares of two short sides should be equal to hypotenuse

How to write an equivalent expression for n times a using only addition

Answers

Maybe an answer would be 30=20+n  What is the value of the variable?

Pls help me thank you!!

Answers

Have you figured it out?

A recipe requires 3/4 cups of sugar for every 14 cookies how many cups of sugar will be needed to bake 168 cookies

Answers

Answer:

9 cups

Step-by-step explanation:

3/4 cups of sugar for 14 cookies

There are 168÷14 = 12 set of 14 cookies in 168

So we need 12 times 3/4 sugar

12 × 3/4 = 9 cups of sugar needed

Answer:

9

Step-by-step explanation:

ratio problem

3/4 sugar/14 cookies = x sugar/168

126 = 14x

x = 9
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