Evaluate 4√16 A. 12 B. 8 C.4 D.2

The required diameter of the sphere where the volume is 72 inches is 5.2 inches respectively.

A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same distance from a single point.

The radius of the sphere is denoted by the letter r, and the specified point represents its center.

The sphere is a three-dimensional shape that is sometimes referred to as a circle's second cousin.

A sphere is a solid shape that is circular, without borders.

Balloons, toy balls, and even light bulbs are examples of objects with sphere shapes.

So, the volume of the sphere formula is:

4/3πr³

We know that the volume is 72 inches.

Then calculate as follows:

72 = 4/3πr³

r³ = 72*3/4π

r = 2.58 (Approx)

Rounding off: 2.6 inches

Then the diameter would be:
2.6 * 2 = 5.2 inches

Therefore, the required diameter of the sphere where the volume is 72 inches is 5.2 inches respectively.

Know more about a sphere here:

https://brainly.com/question/22807400

#SPJ1

Correct question:

What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an inch?

Answer:

3+p/q

Step-by-step explanation:

Answer:

slope is -2 and the y-intercept is 12

Step-by-step explanation:

a key thing to remember: x is always equal to 0 when finding the y-intercept.

so if you look at the table for where 0 is, you get the point (0,12) meaning the y-intercept is 12.

to find the slope use the equation: slope= change in y/change in x

you can use any two points to find this.

lets take the points of the x-intercept (6,0) and the y-intercept (0,12)

12-0/0-6

12/-6

-2 = slope

Answer:

Hi there user! The correct answer will be 16.

Step-by-step explanation:

15 - 2 + 3 =

13 + 3 =

16

Answer:

x = [tex]5\sqrt{2}[/tex]

Step-by-step explanation:

We know that;

The triangle is isosceles, and the hypotenuse is x, the un-labeled side is 5.

Therefore we can say;

5² + 5² = x²

25 + 25 = x²

50 = x²

[tex]\sqrt{50}[/tex] = x

We can simplify this further;

[tex]\sqrt{25} * \sqrt{2}[/tex] = [tex]\sqrt{50}[/tex]

[tex]5\sqrt{2}[/tex] = [tex]\sqrt{50}[/tex]

Hope this helps!

Answer:

ST = x = 1.8 (to the nearest tenth)

Step-by-step explanation:

STU is a right triangle right angled at T with S =61° and hypotenuse SU=3.7 units.

ST = x = SUcos(61°) = 3.7cos(61°) = 3.7*0.48481 = 1.7938

Answer:

The answer is 1.8

Step-by-step explanation:

soh-cah-toa trigonometry. Cos 61=x/3.7. Isolate the variable. 3.7cos61=x. Solve for x. X= 1.793795595 (rounded to the nearest tenth the answer is 1.8)

Answer:

2,000

Step-by-step explanation:

Answer: it should be 100,000

Step-by-step explanation:

If I am doing this right than 20% of 50,000 is 10,000. That will be 50,000. So 50,000+50,000=100,000.

Answer:

c=2.5m+3

Step-by-step explanation:

c=2.5m+3

Answer:

the girl have helped you but good luck

Answer : y=8[tex]\sqrt{3}[/tex]     ;   x=16

Step-by-step explanation: in a triangle with 30,60,90 gr, there is the property of the smallest cathet A(opposite the angle 30 ) and the other cathet (opposite the angle 60 )A√3 and the hypotenuse is 2A ) then in our case a =8 of which y=a√3=8√3 and x=2a=16

Answer:

1153.5 miles (first answer choice)

Step-by-step explanation:

'1000 miles east' is the change in x ('the run'), and '575 miles south' is the change in x (the 'rise').  Since these two vectors form a right angle, we can immediately apply the Pythagorean Theorem without worrying about signs:

d = √(1000² + 575²) = 1153.5 miles (first answer choice)

Answer:

The chord is drawn below

Step-by-step explanation:

Answers:

========================================================

Explanations:

Answer:

A

Step-by-step explanation:

Because I think so

Example of a permutation are as follows

A. The number of ways that 2 students can represent a school at a state competition.

B. The number of ways that 5 people can sit in a car with 5 seats.

"Permutation is defined as the method of arranging the number of ways of the given object."

"Combination is defined as the method of selecting the given collection of object."

According to the question,

As per the definition of permutation and combination we have,

Option(A) represents the permutation as number of ways 2 students represent a school at a state competition.

Option(B) represents the combination as the selection of CD's from the collection of 100 CD's.

Option(C) represents the combination as the selection of 4 books out of 30 .

Option(D) represents the permutation as the number of ways that 5 people can sit in a car with 5 seats.

Hence, Option(A) and Option(D) are example of a permutation.

Learn more about permutation and combination here

https://brainly.com/question/13387529

#SPJ2

Answer:

(7, 4)

Step-by-step explanation:

Using the formula for calculating the midpoint expressed as;

M(X,Y) = {(ax1+bx2)/a+b, ay1+by2/a+b}

X = (ax1+bx2)/a+b

Y = ay1+by2/a+b

Substitute the given coordinate

X = 2(4)+3(9)/2+3

X = 8 + 27/5

X = 35/5

X = 7

Y = 2(-2)+3(8)/2+3

Y = -4+24/5

Y = 20/5

Y = 4

Hence the required coordinates will be at (7, 4)

What is the midnumber between 1 and 7 ?

( 1 + 7 ) ÷ 2 =

8 ÷ 2 = 4

That was the direction now tell me what is the midpoint of point A and point B ?

midpoint of AB = ( A + B ) ÷ 2

m o AB = ( ( 14 , 15 ) + ( - 2 , 9 ) ) ÷ 2

m o AB = ( ( 14 - 2 , 15 + 9 ) ) ÷ 2

m o AB = ( ( 12 , 24 ) ) ÷ 2

m o AB = ( 12 ÷ 2 , 24 ÷ 2 )

m o AB = ( 6 , 12 )

Answer: 3/4

Step-by-step explanation:

First we need to get the formula into slop form (Y = Mx + B) by moving Y to the other side. This can be done by adding 3y to both sides.

4x - 42 = 3y

or

3y = 4x - 42

Now that we have the formula, we need to divide everything by 3 in order to get 1y.

y = 3/4x - 14

In this formula, M is the slope, meaning your final answer is

3/4

36°

Step-by-step explanation:

because b is not a number

Answer:

D) 54°

Step-by-step explanation:

b + 36 = 90(bc of the right angle sign)

=> b = 90 - 36

=> b = 54°

Answer:

The answer is 3418.1 ft rounded to the nearest tenth.

Step-by-step explanation:

The total volume of the cylinder can be defined by the Area of circular base * Perpendicular height.

The area of the circular base can be calculated as

[tex]\pi \times {r}^{2} [/tex]

where r is the radius of the circular base, which is 8 ft.

The area of the circular base is

[tex]\pi \times {8}^{2} = 64\pi[/tex]

We also know the height of the cylinder is 17 ft.

Hence, the volume of the cylinder is

[tex]64\pi \times 17 = 1088\pi = 3418.0528...[/tex]

This will be rounded up to 3418.1 with the nearest tenth

Answer:

36

Step-by-step explanation:

x²-12x+36 = (x-6)(x-6)

Answer:

C jsjwvwhanwkwjwjjwjwkwjwjw

Answer:

731.25

Step-by-step explanation:

12.5 times 9 times 6.5 =

731.25

Answer:

16

Step-by-step explanation:

352/22 = 16

16*22 = 352

The triangles are similar, based on the Side-Angle-Side Theorem (SAS).

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

By definition, since two triangles are similar if the lengths of the corresponding sides are in proportion and their corresponding angles are congruent.

In this case, we can identify that you know two pairs of corresponding sides. Then, we can find in they are in proportion.

Set up that:

In triangle IJK  and LMN

Angle JIK = Angle MLN = 61 degree

Notice that they are in proportion.

LN /  ML= IK /JI

100 / 20 = 85/ 17 = 5

we can also identify that the corresponding angles L and I are congruent because they have equal measure.

Therefore, since we know that two sides are proportionate and the included angles are congruent, we can conclude that the triangles are similar, based on the Side-Angle-Side Theorem (SAS).

Learn more about congruent triangles;

https://brainly.com/question/12413243

#SPJ2

Answer:

5 is the median

Step-by-step explanation:

The "median" is the "middle" of the set of numbers. Considering there are 13 total numbers, making it un-even, there can be an equal amount of numbers taken off of each side with a middle number remaining. That middle number will be your median..

Answer:

6 seconds

Step-by-step explanation:

Answer:

Angle 1 = 123 degrees

Step-by-step explanation:

Step 1:

50%= 50/100 = 0.5

Step 2:

50% of 50%= (50×0.5)/100= 0.25

Step 3:

50% of 50% of 50% = (50×0.25)/100= 0.125

Thanks for joining brainly community!

Answer:

the answer is side angle side (sas)

Answer: SAS

Step-by-step explanation: You know to sides are congruent so the included angle between them must also be congruent.