3 fifths÷7 eighths please help

If you are thankful for your family write a paragragh why you are thankful for your family:)

nata0808 [166]

Answer:I am thankful for my family because when i feel sad or down i can come to them and they always make me laugh especially my dad mom and cousins.The second reason i love and are thankful for my family is because,even in my darkest moments they help me and make me smile.My family has and always will be my light and joy,and the most awesome reason i am thankful for them,is because i get to love them with all of my heart.Thank You.<3

8 0

3 years ago

alex wong basketball after making a half court shot. the display box for his new basketball is in the shape of a cube. alex meas

suter [353]

408.454 cubic inches of air is surrounding the ball in the box

Step-by-step explanation:

When a sphere is inscribed in a cube and touching all of its faces, then

The diameter of the sphere = the side of the cube
The empty volume of the cube is the difference between the volume of the cube and the volume of the sphere

∵ The basketball is shaped a sphere

∵ The box is shaped a cube

∵ The ball touching every wall of the box

∴ The diameter of the ball = the side of the box

∵ The length of one side of the cube = 9.5 inches

∴ The diameter of the ball = 9.5 inches

∵ The diameter of the ball = 2 r, where r is the radius of the ball

∴ 9.5 = 2 r

- Divide both sides by 2

∴ r = 4.75 inches

∵ The volume of the air that surrounded the ball in the box =

volume of the box - volume of the ball

∵ Volume box (cube) = s³

∵ s = 9.5 inches

∴ Volume of the box = (9.5)³

∴ Volume of the box = 857.375 inches³

∵ Volume the ball (sphere) = $\frac{4}{3}$ π r³

∵ r = 4.75

∴ Volume the ball = $\frac{4}{3}$ (π)(4.75)³

∴ Volume the ball = 448.921 inches³

Substitute the values of the volumes of the box and the ball in the rule above

∴ The volume of the air = 857.375 - 448.921

∴ The volume of the air = 408.454 inches³

408.454 cubic inches of air is surrounding the ball in the box

Learn more:

You can learn more about volume of solids in brainly.com/question/12497249

#LearnwithBrainly

6 0

3 years ago

A pendulum 18 cm in length swings 72 degrees from right to left. What is the

fenix001 [56]

Answer:

3.44 cm

Step-by-step explanation:

When the pendulum is at its lowest point, the vertical length of the pendulum is L.

When the pendulum is at its highest point, the vertical length of the pendulum is L cos θ.

So the height difference of the pendulum between its lowest and highest points is h = L − L cos θ.

The pendulum swings 72° from right to left, or 36° from the vertical.

The length of the pendulum is 18 cm.

So the height is:

h = L − L cos θ

h = 18 − 18 cos 36°

h = 3.44

6 0

2 years ago

On the Bologna-Rome route of a high-speed train, 3/4 of the reservations are with departure from Bologna, while the remainder ar

svlad2 [7]

Step-by-step explanation:

First, we consider the calculation towards finding the total number of passengers who had booked the train in Florence. The main question to ask in answering this problem is

$\text{``If 20 passengers that board the train from Florence correlates to only} \ \displaystyle\frac{2}{5} \\ \text{of the bookings from Florence, then what is the total number of passengers} \\ \text{that booked regardless if the passengers boarded the train or not?"}$

This statement can be phrase mathematically using the method of ratio and proportion as shown below

$\displaystyle\frac{2}{5} : 1 \ = \ 20:x$ ,

in which the variable $x$ is the total number of passengers who booked the train from Florence.

Now, rewriting the above ratio into the form of fractions, yields

$\displaystyle\frac{\displaystyle\frac{2}{5}}{1} \ = \ \displaystyle\frac{20}{x} \\ \\ \displaystyle\frac{2}{5} \ = \ \displaystyle\frac{20}{x} \\ \\ x \ = \ \displaystyle\frac{20}{\frac{2}{5}} \\ \\ x \ = \ 20 \ \times \ \displaystyle\frac{5}{2} \\ \\ x \ = \ 50$

Given that a quarter out of all reservations is from Florence, then using the same method as before to evaluate the number of passengers that had booked the train (from both Bologna and Florence).

$\displaystyle\frac{\displaystyle\frac{1}{4}}{1} \ = \ \displaystyle\frac{50}{y} \\ \\ y \ = \ \dsiplaystyle\frac{50}{\frac{1}{4}} \\ \\ y \ = \ 50 \ \times \ 4 \\ \\ y \ = \ 200$ ,

where the variable $y$ denotes the total number of bookings.

Therefore, the total number of passengers that had booked the train is 200.

Now, it is stated that all passengers who booked had boarded the train from Bologna which is 150 passengers (three-quarters of total bookings). Then, 36 passengers from earlier got off in Florence, while 20 passengers boarded.

Number of passengers left when arriving Rome = 150 - 36 + 20

= 134 passengers

8 0

2 years ago

A single tree produces about 2.6 x 10^2 pounds of oxygen each year. The Amazon rainforest has about 3.9 x 10^11 trees. About how

Vikki [24]

The amount produced by one tree times by how many trees:
(2.6 x 10^2) x (3.9 x 10^11)
260 x 390000000000 = 101400000000000 pounds of oxygen each year
101400000000000 / 365 = 280000000000 each day (rounded up)

ANSWER = 2.8 x 10^11

3 0

2 years ago