Please help me guys!!!

1. An inflatable beach ball has a circumference of 141.3 centimeters. What is the volume of the beach ball when fully inflated?

Tema [17]

1) The volume of the beach ball when fully inflated is 47690 cubic centimeters.

2) The value of x is 3.

Step-by-step explanation:

It is given that, an inflatable beach ball has a circumference of 141.3 centimeters.

1) To find the volume of the beach ball :

Use the formula for volume of sphere to find the volume of beach ball when fully inflated.

Volume of sphere = (4/3)πr³

where, r is the radius of the sphere and π has the default value of 3.14.

To find the radius :

The given circumference is 141.3 = 2πr

⇒ r = 141.3 / 2π

⇒ r = 141.3 / (2×3.14)

⇒ r = 141.3 / 6.28

⇒ r = 22.5

Now, substituting r= 22.5 in the volume of sphere formula

Volume of sphere = (4/3) ×3.14× (22.5)³

⇒ 4/3 ×3.14 ×11391

⇒ (12.56×11391) / 3

⇒ 47690 cubic centimeters

The volume of the beach ball when fully inflated is 47690 cubic centimeters.

2) The given equation is $4^{x} = 64$

⇒ 64 = 4×4×4

⇒ 64 = 4³

Therefore, the value of x is 3.

6 0

3 years ago

Explain 3 1/5 *5/8 i need an explanation or i wont get full marks

Sholpan [36]

3/1= 3.87500 8

Simplify 5/8
31over 5 x 5 over 8 = 31/8

answer 3/1= 3.87500 8

5 0

3 years ago

Read 2 more answers

I need help on #2 if 1 meter is 1000 kilometers what would the answer be

anastassius [24]

120 times because 300 divided by 25

4 0

2 years ago

Read 2 more answers

HELPPPPPPPPPPPPPPP RATE 5 STARSS

Stels [109]

Answer:

13. c,

14. a.

Step-by-step explanation:

13. The length of a side PQ with coordinates of

P as (x,y) and Q as (w,z)

is: $\sqrt{(x-w)^{2} +(y-z)^{2} }$

so, the length of the side AB =

$\sqrt{(5-5)^{2}+(-2+7)^{2} } =\sqrt{0^{2}+5^{2} } =5$

the length of side BC =

$\sqrt{(5-1)^{2}+(-7+2)^{2} } =\sqrt{(4)^{2}+(-5)^{2} } =\sqrt{4^{2}+5^{2} }$

the length of side AC=

$\sqrt{(5-1)^{2} +(-2+2)^{2} } =\sqrt{4^{2} } =4$

now, the easiest one will be when the vertices are on the coordinate axes.

so, option c will be the most appropriate one.

14. If u see the figure clearly, the lines l and FH are parallel.

the parallel postulate, i.e, the alternate interior angles will always be congruent.

here, the alternate interior angles are angle1 and angle4.

therefore to prove this step, he used parallel postulate as a reason.

so, the correct option is "a"

7 0

3 years ago

Katelyn wants to build a desk for her doll. Her actual desk is 3 feet tall. The scale is 0.5 in: 1 ft How tall will the doll des

velikii [3]

Each foot of the real desk will be 0.5 on the dolls desk.
3ft x 0.5 in per ft = 1.5 inches

7 0

3 years ago