Todd's cube has an edge that measures5 inches. Kara's cube has an edge of3 inches. If Kara's cube was stackedon top of Todd's cube, what wouldbe the total volume of the combinedsolid? ?

Answers

Answer 1
Answer:

Answer:

  152 in³

Step-by-step explanation:

Each cube's volume is the cube of its edge length, so the total volume is ...

  (5 in)³ + (3 in)³ = 125 in³ +27 in³ = 152 in³


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Gary earned a gross pay of $1,047.30 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amount of Social Security tax deducted from Gary’s gross pay.

Answers

SS tax is 6.2% of 1,047.30

In math "of" means times, so

.062 x 1047.30 = 64.9326

Rounded to the nearest cent $64.93

An average human heart beats 60 times per minute. If an average person lives to the age of 75, how many times does the average heart beat in a lifetime?

Answers

The average heart beat in a lifetime is 2,365,200,00 beats.

Given that,

An average human heart beats 60times per minute.

If an averageperson lives to the age of 75.

We have to determine,

How many times does the averageheart beat in a lifetime.

According to the question,

An average human heart beats 60 times per minute.

And there is 60 beats in a minute and 60 minutes in an hour,

Then,

Heart beat per hour = 60 beats × 60 minutes = 3,600 beats per hour.

Then,

The amount of beats in an hour by the number of hours in a day.

Heart beats per day = 3600 × 24 hours = 86,400 beats per day

Then,

The number of days in a year is 365 in a year, but use the flat rate of 365 since that is generally the accepted answer.

Heart beat per year = 86,400 × 365 days = 31,536,000 beats per year

Therefore,

An average person lives to the age of 75,

Heart beat in a lifetime to age of 75 years,

= 31,536,000 × 75 years = 2,365,200,00 beats in a lifetime.

Hence, The average heart beat in a lifetime is 2,365,200,00 beats.

To know more about Average value click the link given below.

brainly.com/question/13820877

Answer:

The average number of beats in a lifetime would be 2,365,200,000

Step-by-step explanation:

To find the amount we need to take basic steps. The first step is multiplying the number of beats to find out how many are in an hour. Since there are 60 in a minute and 60 minutes in an hour, multiply the two.

60 beats * 60 minutes = 3,600 beats per hour.

Now multiply the amount of beats in an hour by the number of hours in a day.

3,600 * 24 hours = 86,400 beats per day

Now multiply the number of days in a year. Technically there is 365 1/4 in a year, but we'll use the flat rate of 365 since that is generally the accepted answer.

86,400 * 365 days = 31,536,000 beats per year

And now we take that number and multiply by the number of years that he lines

31,536,000 * 75 years = 2,365,200,00 beats in a lifetime

In how many ways can a teacher arrange 6 students in the front row of a classroom with a total of 20 students?

Answers

This is a combination of 20 studants, 6 to 6:

C_(2,6)=(20!)/((20-6)!6!)=(20!)/(14!6!)=(20.19.18.17.16.15.14!)/(14!.6.5.4.3.2.1)=38,760 \ ways

[Geometry] help pls!!!!

is the answer 70?

Answers

notice the picture below

in a rectangle, all angles are 90 degrees and the diagonals are equal

meaning the diagonals bisect each other, they cut in equal halves

so. those two sides are equal, and thus they make up an isosceles triangle
on the sides

if those two sides are equal, the angles they make on the other side are equal

so if angle D is 55 degrees, angle A is 55 degrees
and the missing angle is 180 - (55 + 55) or 70
that's just the left-side

now, angle "x" on the right side, is a vertical angle of that angle on the left,
and vertical angles are equal, thus x = 70

Which phrase describes the variable expression 11 • x ?1. The product of 11 and x 2. 11 decreased by x 3. The quotient of 11 and x 4. 11 increased by x

Answers

One product means multiply to decreased knee subtract three quotes is divide and for increased by

Evaluate and simplify cos 2pi/3. The options for answers are in the picture attachment, but I have NO idea how to get any of them? Please, Any help is appreciated (:

Answers

when pi is inside the trigonometric function you can subs. it by 180 degree 
so cos(2*180/3) = cos(120) = -0.5