What is the volume of a cylinder, in cubic ft, with a height of 14ft and a base diameter of 12ft? Round to the nearest tenths place Answer: V= ft 3

Answers

Answer 1
Answer:

Final answer:

The volume of the cylinder is approximately 1582.2 cubic feet when rounded to the nearest tenths place.

Explanation:

To find the volume of a cylinder, you can use the formula:

Volume (V) = π ×  r² × h

Where:

V is the volume of the cylinder.

π (pi) is approximately 3.14159.

r is the radius of the base.

h is the height of the cylinder.

In this case, the base diameter is given, but you need to find the radius, which is half of the diameter:

Radius (r) = Diameter / 2 = 12 ft / 2 = 6 ft

Now, you can plug these values into the formula and calculate the volume:

Volume (V) = π × (6 ft)² ×  14 ft

Volume (V) = 3.14159 ×  36 ft² × 14 ft

Volume (V) ≈ 3.14159 ×  504 ft³

Volume (V) ≈ 1587.82336 ft³

Rounding to the nearest tenth, the volume of the cylinder is approximately 1587.8 cubic feet

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What is the value of X

Answers

Answer:

27=x

Step-by-step explanation:

We can use the triangle angle bisector theorem

x+8            2x-5

--------- = ------------

10                14

Using cross products

14(x+8) = 10 (2x-5)

Distribute

14x +112 = 20x -50

Subtract 14x from each side

14x-14x +112 = 20x-14x -50

112 = 6x-50

Add 50 to each side

112+50 = 6x-50+50

162 = 6x

Divide by 6

162/6 = 6x/6

27=x

You decide to put $2000 in a savings account to save for a $3000 down payment on a new car. If the account has an interest rate of 4% per year and is compounded monthly, how long does it take until you have $3000 without depositing any additional funds?

Answers

Answer:

t=10.2\ years      

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+(r)/(n))^(nt)  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=?\ years\nP=\$2,000\nA=\$3,000\n r=0.04\nn=12  

substitute in the formula above  

3,000=2,000(1+(0.04)/(12))^(12t)

1.5=((12.04)/(12)})^(12t)    

Applying log both sides

log(1.5)=log[((12.04)/(12)})^(12t)]

log(1.5)=(12t)log((12.04)/(12))

t=log(1.5)/[(12)log((12.04)/(12))]  

t=10.2\ years        

Mrs. Lin bin 6 hamburger buns to the barbecue. 2/3 of the trays have wheat buns. How many of the trays have wheat buns? Draw a diagram to solve the problem

Answers

I don’t know how to draw a diagram for this problem but I think you just did divide

4 trays have wheat buns

draw 6 rectangles and divide each by 3 then shade 2 parts of each (if there is a blank section in any of the "trays" but count it as a new shaded part) then count all the trays that are fully shaded

2 equivalent : 4/6 and 6/9


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How to solve -10p+9p=12

Answers

we add like terms
to understand this user the distributive property in reverse like this
ab+ac=a(b+c) so we have
-10p+9p=(-10+9)p
we add the terms in the parenthsees
-10+9=9-10=-1
so we have
-1p=12
multiply both sides by -1
p=-12
-10p+9p= 12
⇒ (-10+9)*p= 12 (distributive property)
⇒ -1*p= 12
⇒ -p= 12
⇒ p= -12

Final answer: p=-12~

Solve the proportion 8/3=g/3 ... A.1/8 B.9/8 C.8 OR D.8/9

Answers

Answer:

g = 8.  (Answer C)

Step-by-step explanation:

We are given 8/3 = g/3.

If we multiply both sides by 3, this will eliminate the fractions, and we will be left with g = 8.  (Answer C).

Final answer:

The solution to the proportion 8/3 = g/3 is g = 8, corresponding to option C.

Explanation:

In this proportion, the value of g can be found by solving the equation 8/3 = g/3. Because both sides of the equation are divided by 3, the 3's essentially cancel each other out, leaving you with g = 8.

Therefore, the solution to the proportion 8/3 = g/3 is g = 8. So, the correct answer is C. 8.

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Explain how to distinguish between a rational number and an irrational number

Answers

Sample Response: A rational number can be expressed as a whole number, a fraction, or decimal that has either terminating or repeating digits. A square root of a perfect square is rational. If it is none of these, then the number is irrational.



A rational number has a end but an irrational number doesn't.