All categories

3 years ago

GEOMETRY Please help me!!!!

Mathematics

1 answer:

Tom [10]3 years ago

6 0

Answer:

The correct answer is first option

512 cubic mm

Step-by-step explanation:

<u>Points to remember</u>

Volume of hexagonal pyramid = Base area * height

<u>To find the volume of hexagonal pyramid</u>

It is given that, base area = 64 square mm and

height = 8 mm

Volume = Base area * Height

= 64 * 8

= 512 cubic mm

Therefore the correct answer is first option

512 cubic mm

You might be interested in

The speed of a bus from University A to University B was decreased by 20% to 48 miles per hour. What was the speed of the bus be

Lunna [17]

Answer:

initial speed: 240 m/h

Step-by-step explanation:

48 m/h is the current speed which is the 20% of X

x (20 / 100) = 48

20x = 4800

x = 4800/20

x = 240 m/h

5 0

2 years ago

PLEASE HELP!!!! a bag holds 25 potatoes, if the potatoes in the bag are split among 5 people, how many people does each person g

Airida [17]

Answer:

25 potatoes split between 5 people would be 25÷5=5. So each person will get 5 potatoes.

6 0

3 years ago

Read 2 more answers

You purchased a rare painting for $150 that is increasing in value by 3% annually. How many years will it take until it is doubl

Ahat [919]

Answer:

23 years.

Step-by-step explanation:

It is given that the initial price of painting is $150 and its values increasing by 3% annually.

We need to find how many years will it take until it is doubled in value.

The value of painting after t years is given by

$y=150(1+0.03)^t$

$y=150(1.03)^t$

The value of painting after double is 300. Substitute y=300.

$300=150(1.03)^t$

Divide both sides by 150.

$2=(1.03)^t$

Taking log both sides.

$\log 2=\log (1.03)^t$

$\log 2=t\log (1.03)$

$t=\dfrac{\log 2}{\log (1.03)}$

$t=23.44977$

$t\approx 23$

Therefore, the required number of years is 23.

6 0

2 years ago

A number is 3 more than 2nd number, the sum of the two numbers is 17. Find the<br> numbers.

Debora [2.8K]

Your numbers are 7 and 10

4 0

3 years ago

10. A perfect circle measuring 38 feet across was discovered on Brickell Avenue in Miami in 1998. Known as the Miami Circle at B

vivado [14]

Using an exponential function, it is found that the Tequesta settlement is 1845 years old.

<h3>What is an exponential function?</h3>

The exponential equation for a decaying amount of a substance is given by:

$A(t) = A(0)e^{-rt}$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

Researching on the internet, the half-life of carbon 14 is of 5,730 years, hence A(5730) = 0.5A(0), which we use to find r.

$A(t) = A(0)e^{-rt}$

$0.5A(0) = A(0)e^{-5730r}$

$e^{-5730r} = 0.5$

$\ln{e^{-5730r}} = \ln{0.5}$

$5730r = -\ln{0.5}$

$r = -\frac{\ln{0.5}}{5730}$

$r = 0.00012096809$

Hence, the equation is:

$A(t) = A(0)e^{-0.00012096809t}$

The wood chips were found to contain 80% of the atmospheric carbon-14, hence we have to find t for which A(t) = 0.8A(0).

$A(t) = A(0)e^{-0.00012096809t}$

$0.8A(0) = A(0)e^{-0.00012096809t}$

$e^{-0.00012096809t} = 0.8$

$\ln{e^{-0.00012096809t}} = \ln{0.8}$

$-0.00012096809t = \ln{0.8}$

$t = -\frac{\ln{0.8}}{0.00012096809}$

$t = 1845$

The Tequesta settlement is 1845 years old.

You can learn more about exponential functions at brainly.com/question/25537936

8 0

2 years ago