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Nana76 [90]
2 years ago
12

1. What is the volume, in cubic centimeters, of the sphere shown below? Use 3.14 for Pi

Mathematics
1 answer:
prohojiy [21]2 years ago
6 0

Answer:

113.04 cm³

Step-by-step explanation:

diameter = 6cm

so radius = 3cm

Volume of sphere = \frac{4}3}\pi r^3

= 4 * 3.14 * 3 * 3 *3 / 3

=  4 * 28.26

= 113.04 cm³

You might be interested in
Suppose that two people standing 2 miles apart both see the burst from a fireworks display. After a period of​ time, the first p
Usimov [2.4K]

Answer: approximately 5148 feet directly north of point A

This is equivalent to 0.975 miles

==============================================================

Explanation:

Check out figure 1 (attached image below) to see how the drawing is set up.

Points A and B are separated by 2 miles, or 10560 feet. Use the conversion factor 1 mile = 5280 feet.

Because sound travels at roughly 1100 feet per second (assuming all of the conditions are right), this means that after x seconds, the sound wave has traveled a total distance of 1100x feet. This is the distance from A to C. Point C is the firework location.

The distance from B to C is 1100(x+6) feet because it takes 6 more seconds for the soundwave to travel from C to B, compared from C to A.

Note that triangle ABC is a right triangle. The 90 degree angle is at point A.

We can use the pythagorean theorem to solve for x

See figure 2 in the attached images to see the steps on solving for x. The numbers get quite big, though in the end x is fairly small. We end up with x = 4.68, which is approximate due to the 1100 figure being approximate.

This means the sound wave takes about 4.68 seconds to go from point C to point A.

With this x value, we can compute the expression 1100x to get

1100*x = 1100*4.68 = 5,148 feet

To convert this to miles, divide by 5280

(5148)/(5280) = 0.975

Therefore,

5148 feet = 0.975 miles

6 0
3 years ago
Lines a and b are parallel. Find the measure of each angle. Angle 8 is 113 degrees
pentagon [3]

Answer:

angles 1 4 and 5 are all equal to 113 and angles 2 3 6 and 7 equal 67

3 0
3 years ago
(3/5)^2+4X3-2 what is the value of the expression
Sliva [168]

Answer:

10.36

Step-by-step explanation:

So your solution would be:

(\frac{3}{5})^{2} + 4 \times 3 - 2

=(\frac{3}{5})^{2} + 4 \times 3 - 2

=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2

=\dfrac{9}{25} + 4 \times 3 - 2

=0.36 + 4 \times 3 - 2

=0.36 + 12 - 2

=12.36 - 2

=10.36

Just try to remember PEMDAS.

Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.

This is the order we follow when going about expressions with many operations.

Let's start with the parenthesis part. Notice that there is an exponent beside the parenthesis enclosing the fraction. Here we use the quotient to a power rule. We distribute the exponent to the numerator and the denominator.

=(\frac{3}{5})^{2} + 4 \times 3 - 2\\

=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2

=\dfrac{9}{25} + 4 \times 3 - 2

Now that we got the parenthesis and exponent out of the way, let's move on to the next. Multiplication/Division. Whichever comes first, you do it first.

We have a fraction so we do that first. Then we do the multiplication after.

=0.36 + 4 \times 3 - 2

=0.36 + 12 - 2

Next we do the addition/subtraction. Again, whichever comes first.

=12.36 - 2

=10.36

7 0
3 years ago
EZ QUESTION BUT I DUMB: Mrs Raj Bought 10 pizzas for a party. Each child at tje party recieved 1/5 of a pizza. how many children
OlgaM077 [116]
So since she cut up each pizza into 5ths then 5 kids per pizza


5+5+5+5+5+5+5+5+5+5=50

the answer is 50 children
7 0
3 years ago
Please help me 10 points
Oksana_A [137]
7\dfrac{2}{9}-3\dfrac{5}{6}=7\dfrac{2\cdot2}{9\cdot2}-3\dfrac{5\cdot3}{6\cdot3}=7\dfrac{4}{18}-3\dfrac{15}{18}\\\\=6\dfrac{22}{18}-3\dfrac{15}{18}=3\dfrac{7}{18}
7 0
3 years ago
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