Find the volume of the largest sphere that could be enclosed in a cube with a side length of 10 cm. Round to the nearest tenth.

Answers

Answer 1

Answer: $Look\ at\ he\ picture.\n\nR=5cm\n\nV=(4)/(3)\pi R^3\n\nV=(4)/(3)\pi\cdot5^3=(4)/(3)\pi\cdot125=(500)/(3)\pi\approx(500)/(3)\cdot3.14\approx523.3\ (cm^3)$

Related Questions

Express as a single fraction in its simplest form
What is 10 to the power of 9 times 2.64
A+√b) (a-√b .)is equal to
How do I move 7.03% into a decimal
Classify the expression: 5x + 2.Linear expression Quadratic expression Cubic expression Quartic expression

Simplify (10 + 48) ÷ 2 =

Answers

10+48 = 58 / 2 = 29.

hope it helps!!!!!!1

Prove that

(1 + cot A + tan A) (sin A - cos A) = sin A tan A - cot A cos A

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan A = $(sinA)/(cosA)$ , cot A = $(cosA)/(sinA)$

Consider the left side

(1 + cotA + tanA)(sinA - cosA)

each term in the second factor is multiplied by each term in the first factor.

1(sinA - cosA) + cotA(sinA - cosA) + tanA(sinA - cosA)

= sinA - cosA + cosA - $(cos^2A)/(sinA)$ + $(sin^2A)/(cosA)$ - sinA ( collect like terms )

= $(sin^2A)/(cosA)$ - $(cos^2A)/(sinA)$

= ( sinA × $(sinA)/(cosA)$ ) - ( $(cosA)/(sinA)$ × cosA )

= sinAtanA - cotAcosA

= right side ⇒ proven

Need help with this problem

Answers

Answer:

39°

Step-by-step explanation:

Internal angles of the triangle are:

x, 60° and (180° -99°)

Angle x is:

x = 180° - (60° + 81°)
x = 180° - 141°
x = 39°

John and Julie are planning to have a new house built the architect designs a house instant them the blueprints skilled at the art architect used on the blueprints is 2 1/2 inches equals 10 feet the living room what are the actual dimensions of 12‘ x 16‘ what are the dimensions on the blueprints

Answers

Answer:

3"x4

Step-by-step explanation:

The symbol for a foot is "ft", sometimes denoted by a prime(') , also, the inch is denoted by a double prime(").

Given

2 1/2inces (2.5") blue print represents 10ft living room

We are told that the dimension of the room on the blueprint is

12'x16'

Let us convert 12' to inches

2.5" represents 10'

X ' will be 12'

Cross multiplying

X=(2.5*12)/10

X=3"

Let us convert 16' to inches

2.5" represents 10'

Y ' will be 16'

Cross multiplying

Y=(2.5*16)/10

Y=4"

the dimension of the blue print is

3"x4"

Can you help me solve and describe the steps used to find x for the equation 2(x + 4) – 10 = 12

Answers

for solving 1st degree equations (highest exponent on placeholder is 1) the rules are

1. isolate variable
2. divide by coeficient of variable
3. celebrate because you found the answer

remember you can do anything to an equation as long as you do it to both sides

distributive propoerty
a(b+c)=ab+ac

2(x+4)-10=12
distribute the 2 to (x+4)
2(x+4)=2x+8

now we have
2x+8-10=12
add
2x-2=12
add 2 to both sides
2x+2-2=12+2
2x+0=14
2x=14
divide both sides by 2
2/2x=14/2
1x=7
x=7

Hi there!

To solve, let's rewrite this equation.

$2 (x + 4) - 10 = 12$