The figure below has a volume of 60 cubic units. How many more cubes will it take to fill the figure?
1 cubic unit

5 cubic units
40 cubic units
55 cubic units
60 cubic units

Answer:

Width: 13/2 ft.

Length: 12 ft.

Step-by-step explanation:

Let's assume the width is x

This means that the length is 2x-1, because it it one less than double the width.

The formula for the area of a rectangle is length*width, so

(2x-1)*x=78

Now let's solve for x

2x^2-x=78

2x^2-x-78=0

Use the quadratic formula

x=13/2 and x=-6

x cannot be negative, so we can rule out x=-6 and are left with x=13/2.

Substituting x back into our original assumptions, we now know that

The width is x=13/2 and

The length is 2x-1=2(13/2)-1=12

Final answer: The width is 13/2 ft. and the length is 12 ft.

Answer:

51cm is the answer.

Step-by-step explanation:

a = ?

b = 68cm

c = 85cm

According to the Pythagoras theorem,

a² + b² = c²

a² + 68² = 85²

a² + 4624 = 7225

a² = 7225 - 4624

a² = 2601

a = 51cm

∴ the porch is 51cm tall.

Answer:

9)

1 2/3 ÷ 2 1/4 = 5/3 x 4/9 = 20/27

10)

3 3/5 ÷ 1 3/4 = 18/5 x 4/7 = 72/35

9514 1404 393

Answer:

  54 -6m

Step-by-step explanation:

For values of m < 9, the argument of the absolute value function is less than 0. Then the expression evaluates to ...

  -(6m -54) = 54 -6m

Answer:

arccsc refers to "arc cosecant", or the radian measure of the arc on a circle corresponding to a given value of cosecant. Technical note: Since none of the six trig functions sine, cosine, tangent, cosecant, secant, and cotangent are one-to-one, their inverses are not functions.

what is arccsc equal to? The value of the arccsc function of any argument is an angle in radians whose cosecant function equals the given argument, that is, y = csc-1x if and only if x = cosec(y) for - /2 < y < /2 and y.  ˗ˏˋ ❤︎ ࿐

Step-by-step explanation:

Answer:

-971

Step-by-step explanation:

I plugged the numbers into a arithmetic sequence calculator

Answer:

9.42 i think

Step-by-step explanation:

radius is 1.5 height is 4 so

V=1/3nr^2h

V=1/3n(1.5)^2(4)

V=1/3n(2.25)(4)

V=9.42

Hope this helps :)

Answer:

r=8.4cm

v=3119.5cmcube

volume of a cylinder

=pie r square height

pie=22/7

22/7×8.4×8.4×h=3119.5cm cube

221.76cmsquareh=3119.5cm cube

___________________________

221.76cm square(both sides)

h=14.07cm

The height of the cylinder is h =  14.09 cm

Given data:

To find the height of the cylinder,  the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius, and h is the height.

Given that the radius is 8.4 cm and the volume is 3119.5 cm³, substitute these values into the formula and solve for h.

3119.5 cm³ = π(8.4 cm)²h

To isolate h, divide both sides of the equation by π(8.4 cm)²:

h = 3119.5 cm³ / (π(8.4 cm)²)

Now, calculate the approximate value of h as:

h ≈ 3119.5 / (π * 8.4²)

≈ 3119.5 / (3.14 * 70.56)

≈ 3119.5 / 221.1264

≈ 14.0989 cm

Hence , the height is 14.09 cm

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Answer:

yes it is

Step-by-step explanation:

Answer: 140 miles

let me know if this is wrong

Step-by-step explanation:

135-30=105

105÷0.75=140

Answer:

(Exponential) Growth

Step-by-step explanation:

Since r=1.05 exceeds 1, then it's exponential growth. Think about what would happen if r were 1. There would be no growth. You would always have your principal value of 10.

Answer:

Step-by-step explanation:

1.05 exceeds 1

Answer:

The number of FTE needed to be hired to cover the additional procedures per 7.5 day work is:

= 1.

Step-by-step explanation:

a) Data and Calculations:

                                                Endoscopies      EP Studies    Total

Projected number of studies         60                      5              65

Time in minutes for per study         5                     15

Total time required (in minutes) 300                     75           375

Full-time Employee (FTE) works 7.5-hour day or 450 minutes (7.5 * 60) per day.

b)The number of full-time employees (FTE) needed to be hired to cover the additional procedures per 7.5-day work is 1.  The FTE has 450 minutes available for the additional procedures.  She will only require 375 minutes.  Therefore, she has extra (idle) time of 75 (450 - 375) minutes per workday.

Answer:

41 minutes

Step-by-step explanation:

14+10+17= 41 minutes

Answer:

B. $257.82 and $272.18

Step-by-step explanation:

PLATO USERS

Answer:

1mg= 1000g

Step-by-step explanation:

1000 grams makes up 1miligram

Answer:

15/24 or 5/8

Step-by-step explanation:

Well 9 are female

The rest of the 24 has to be male so

24-9=15

15/24 or 5/8

The fraction of male swimmers is 5/8.

Given,

24 swimmers are swimming in the pool.

9 of them are female.

We need to find what fraction of male swimmers.

We write in two parts numerator and denominator.

= Numerator / Denominator

= Number of required items / Total number of items

Find the total number of swimmers.

= 24

Find the number of male swimmers.

= Total swimmers - Female swimmers

= 24 - 9

= 15

Find the fraction of male swimmers.

= Number of male swimmers / Total number of swimmers
= 15 / 24

Taking out the common factor

= 3 x 5 / 3 x 8

= 5/8

Thus the fraction of male swimmers is 5/8.

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Answer:

$100.4

Step-by-step explanation:

Compound Interest Formula:

A = P[tex]([/tex]1 + [tex]\frac{r}{100}[/tex][tex])^{t}[/tex]

=> A = 100 x ( 1 + [tex]\frac{0.4}{100}[/tex])^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)

Answer:

J

Step-by-step explanation:

Done.

Answer:

5

Step-by-step explanation:

5y+155=180

5y=180-155=25

y=5

5y+13x=90

13x=90-25=65

x=5°

Answer:

0.31     (31%)

Step-by-step explanation:

answer steps attached

Answer:

the question is worded incorrectly, but I believe the answer is 8566.

Step-by-step explanation:

Answer:

1/9 i think not sure

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

Well the chance of picking 3 one time is 1/3

The chance of picking 3 the second time is 1/3

So at first, we've succeeded with probability 1/3 and failed with probability 2/3

We don't care what happens next if we've failed - we already failed.

So we've reached the "picking the second card with hope in our hearts" 1/3 of the time and we again succeed with 1/3 of a chance, so the total probability of success is 1/3 * 1/3 = 1/9

Think of the options:

3 and 3 - probability 1/3 * 1/3 = 1/9

3 and non-3 - probability 1/3 * 2/3 = 2/9

non-3 and 3 - probability 2/3 * 1/3 = 2/9

non-3 and non-3 - probability 2/3 * 2/3 = 4/9

Note that all the options sum to 1 - as probabilities of all options always should.

Answer:

48 ounces.

Step-by-step explanation:

Steps:

Combine the weight of the cats.

12 (assuming it is a typo, 1212 pounds is a pretty big cat!) + 17 = 30 pounds

Convert to ounces.

33 pounds = 528 ounces

30 pounds = 480 ounces

Subtract the two/find the difference.

528 - 480 = 48.

The difference in ounces between Audrey's dog and the combined weights of Drew's cats is 48 ounces.