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ziro4ka [17]
3 years ago
6

To decorate the area around the pool with flowers, your neighbor purchases conical urns of radius 1.5 ft and height 3 ft. How mu

ch soil must he buy to fill each urn?
Mathematics
2 answers:
garri49 [273]3 years ago
6 0

The right answer is

b.  7.07 cu. ft per urn

katen-ka-za [31]3 years ago
3 0
To get the amount of soil required to fill the urn, we need to get the volume of the urn. Given that the urn is cylindrical in shape, the volume will be given by:
V=πr^2h
radius=1.5 ft
height=3 ft
thus;
V=π*1.5^2*3
V=21.2058 ft^3
The answer is V=21.2058 ft^3
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8. The trapezoids are similar. The area of the smaller trapezoid is 131 m2. Find the area of the larger trapezoid to the nearest
kolbaska11 [484]

Answer:

3,726\ m^{2}

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x----> corresponding side of the larger trapezoid

y----> corresponding side of the smaller trapezoid

z=\frac{x}{y}

we have

x=64\ m

y=12\ m

substitute

z=\frac{64}{12}

step 2

Find the area of the larger trapezoid

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z----> the scale factor

x----> area of the larger trapezoid

y----> area of the smaller trapezoid

z^{2}=\frac{x}{y}

we have

z=\frac{64}{12}

y=131\ m^{2}

substitute

(\frac{64}{12})^{2}=\frac{x}{131}

x=(\frac{4,096}{144})(131)

x=3,726\ m^{2}

5 0
3 years ago
A beverage is made by mixing 1 part of water with 3 parts of fruit juice. How many parts of water are mixed with 1 part of fruit
forsale [732]

Answer:

1/3

Step-by-step explanation:

for every 1 part of water there is 3 parts juice so if there's only 1 part juice it would be a 1/3

5 0
2 years ago
Read 2 more answers
Elena went 60 meters in 15 seconds Noah went 50 meters in 10 seconds Elena and Noah both moved at a constant speed .how far did
sukhopar [10]

Answer:

I believe it would be 4 meters in one second

Step-by-step explanation:

I think this because you would divide meters by time.

7 0
3 years ago
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If jaden drove 40 miles how many gallons of gas would be left in the tank
Veronika [31]

The x axis of the graph show the distance driven and y axis represnt Gas remains

at 40 miles of distance i.e x =40

Then value of y at x = 40 is 3.5 i.e. y = 3.5

7 0
1 year ago
Please help me with this.
zheka24 [161]

The sin A is equal to 12/13 and the tan (A) is equal to 12/5.

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: hypotenuse^2=(leg_1)^2+(leg_2)^2. And the main trigonometric ratios are:

sin(\beta )= \frac{opposite\;leg}{hypotenuse} \\ \\ cos(\beta )= \frac{adjacent\;leg}{hypotenuse} \\ \\ tan(\beta )= \frac{opposite\;leg}{adjacent\;leg} \\ \\

The question gives cos (A)=5/13. If cos (A) is represented by the quotient between the adjacent leg and the hypotenuse, you have:

adjacent leg=5

hypotenuse=13

Therefore, you can find the opposite leg of A from Pythagorean Theorem, see below.

hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ 13^2=5^2+(leg_2)^2\\ \\ 169=25+(leg_2)^2\\ \\ 144=(leg_2)^2\\ \\ leg_2=12

Thus, the opposite leg is equal to 12. Now, you can find sin (A) since:

sin(A)= \frac{opposite\;leg}{hypotenuse}=\frac{12}{13}

Finally, you can find the tan (A) since:

tan(a )= \frac{opposite\;leg}{adjacent\;leg}=\frac{12}{5}

Learn more about trigonometric ratios here:

brainly.com/question/11967894

#SPJ1

7 0
2 years ago
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