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3 years ago

GEOMETRY QUESTION: ANSWER FAST

Mathematics

1 answer:

Tpy6a [65]3 years ago

7 0

Using Pythagorean Theorem, 15^2-9^2=12^2, so the length AD equals to 12. DC is 12sqrt(3) because the side facing the 60 degree angle is always sqrt(3) times larger than the side facing the 30 degree angle. Lastly, AC is two times AD, which is 24.

Adding the side lengths up, AB+AC+DC+BD=15+24+12sqrt(3)+9=48+12sqrt(3).

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At an amusement park, 8 out of 80 tickets sold were discount tickets. What percentage of the tickets were discount tickets?

bixtya [17]

10%

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3 years ago

Please help me with these

kumpel [21]

Answer:

33,000m3 is the area

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3 years ago

Find the range of the sample data set.<br><br> 16,465 17,342 19,835 15,147 15,898 18,324

Nikitich [7]

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3 years ago

Read 2 more answers

An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak

gregori [183]

Answer:

17.9 m/s

Step-by-step explanation:

Volume of the slick = 0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

h = thickness of slick, 10⁻⁶m

If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V = 0.5 x π r² h

0.5= 0.5 x π x r² x 10⁻⁶

r² = 10⁶/ π

r = 10³/√π

dV/dt = πrh dr/dt + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt = πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r= 10³/√π

dr/dt= rate of expansion of the slick

Substituting into (3);

0.1 = π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1 x 10⁶/ ( π x 10³/√π)

= 17.9479 m/s

≅ 17.9 m/s

8 0

4 years ago

An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest cir

finlep [7]

Answer:

The area of the copper circle is <u>31.4 inches</u>.

Step-by-step explanation:

Given:

An artist used silver wire to make a square that has a perimeter of 40 inches.

She then used copper wire to make the largest circle that could fit in the square, with perimeter of 40 inches.

Use 3.14 to represent π.

Now, to find the area of the copper circle.

Perimeter of square = 40 inches.

So, we get the side of square by putting formula:

$Perimeter=4\times side$

$40=4\times side$

Dividing both sides by 4 we get:

$10=side.$

$Side=10\ inches.$

Now, as the side of square is 10 inches it is the diameter of the circle as the square is fit inside the circle:

For getting the area of circle we find the radius:

Radius (r) = $\frac{Diameter}{2} \\=\frac{10}{2}= 5\ inches.$

Now, putting the formula to get the area of the circle:

$Area=2\times \pi \times r$

$Area=2\times 3.14\times 5$

$Area=31.4\ inches.$

Therefore, the area of the copper circle is 31.4 inches.

6 0

3 years ago