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3 years ago

What is the total volume of this compound shape?

Mathematics

1 answer:

Alex787 [66]3 years ago

6 0

Answer:

This is very easy. First find the volume of the cube, and then add it to the volume of the hemisphere to find the total volume.

The volume of the cube is length x width x height: 8 x 8 x 12 = 768 cm

The volume of the hemisphere is (2/3)πr³ : (2/3)π(4)³ = 134.04 cm

*Radius is 4

Now add: 768 + 134.04 = 902.04 cm

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While sailing, Jacob is 150 feet from a lighthouse. The angle of elevation from his feet on the boat (at sea level) to the top o

Vlada [557]

Answer:

The height of the lighthouse is approximately 166.6 feet.

Step-by-step explanation:

Let the height of the lighthouse be represented by s, then;

Tan 48° = (opposite) ÷ (adjacent)

Tan 48° = s ÷ 150

⇒ s = 150 × Tan 48°

= 150 × 1.1106

= 166.59

s ≅ 166.6 feet

Therefore, the height of the lighthouse is approximately 166.6 feet.

7 0

3 years ago

Arabella's password consists of 1 letter followed by two digits. What is the probability of correctly guessing Arabella's passwo

Alchen [17]

The answer is 1/2600

Hope this helps

6 0

3 years ago

Please help have no clue<br><br><br> c8q6

Aleksandr-060686 [28]

Answer:

the tan of 36° = 0.726

Step-by-step explanation:

if you go on your calculator an press tan then 36 it gives you the answer

3 0

3 years ago

Read 2 more answers

St. Augustine grass can grow at the rate of 4 over 7 centimeter per week.

kotegsom [21]

Given, the rate of growth of St. Augustine grass is $\frac{4}{7}$ cm per week.

We have to find the number of weeks that the grass grow to $\frac{12}{7}$ cm.

Let's take the number of weeks be x.

In 1 week the grass grow = $\frac{4}{7}$ cm

So in x weeks the grass grow = $(\frac{4}{7}) (x) =\frac{4x}{7}$ cm

So we can write,

$\frac{4x}{7} =\frac{12}{7}$

To solve it for x, first we will move 7 to the right side by multiplying it to both sides. We will get,

$(\frac{4x}{7}) (7) =(\frac{12}{7})(7)$

$4x =(\frac{12}{7})(7)$

$4x = 12$

Now to get we will move 4 to the right side by dividing it to both sides. We will get,

$\frac{4x}{4} =\frac{12}{4}$

$x = 3$

So we have got the required answer.

After 3 weeks the grass grow $\frac{12}{7} cm$ .

3 0

3 years ago

Solve for m. am+ bm= c-2

g100num [7]

Answer:

m = (c-2)/(a+b)

Step-by-step explanation:

am+ bm= c-2

Factor out m

m( a+b) = c-2

Divide each side by (a+b)

m( a+b) /(a+b)= (c-2)/(a+b)

m = (c-2)/(a+b)

8 0

3 years ago

Read 2 more answers