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julia-pushkina [17]
3 years ago
10

The diameter of a soccer ball is 8.65 inches. What is the volume of the ball, rounded to the nearest hundredth

Mathematics
1 answer:
yarga [219]3 years ago
8 0
The volume of a sphere is (4πr^3)/3 and since r=d/2, volume of a given sphere with respect to its diameter is:

V=(4πd^3)/24

V=(πd^3)/6  in this case d=8.65 so

V≈338.88 in^3  (to the nearest hundredth)
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From the diagram below, if the tree is 34 ft. tall, and the angle of elevation from point B to the top of the tree is 26 °, find
lana66690 [7]

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

<h3>What is the distance between the tree and point B?</h3>

Given the data in the question;

  • Height of tree opposite angle of elevation = 34ft
  • Angle of elevation θ = 26°
  • Distance between tree and point B| Adjacent = ?

Since the scenario form a right angle triangle, we use trig ratio.

tanθ = Opposite / Adjacent

tan( 26° ) = 34ft / x

We solve for x
x = 34ft / tan( 26° )

x = 34ft / 0.4877

x = 70ft

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

Learn more about trigonometric ratio here: brainly.com/question/28038732

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3 0
1 year ago
Jen Butler has beepricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 108. T
kicyunya [14]

3x + 4y = 108

2x + 3y = 77

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answer:

x= adult = $16

y= child = $15


6 0
3 years ago
Short Response
garik1379 [7]

Answer:

(a)2(89x+84)

(b)2(89x+84-x^2\pi)

Step-by-step explanation:

The dimensions of the larger rectangular field are:

  • Length=5x + 12; Width = 9x + 14.

The dimensions of the smaller rectangular soccer field are:

  • Length=5x; Width = 9x.

(a)Area of the part of the field that is outside the soccer field

=Area of the larger rectangular field - Area of the Soccer Field

=(5x+12)(9x+14)-5x(9x)

=(5x)(9x)+70x+108x+168-5x(9x)

=178x+168

=2(89x+84)

(b)Radius of the Semicircular Fountain =2x

From Part (a),

Area of the larger rectangular field - Area of the Soccer Field=178x+168

Area of the Semicircular Fountain =\dfrac{\pi r^2}{2} =\dfrac{\pi (2x)^2}{2} =\dfrac{4x^2\pi}{2} =2x^2\pi

Area of the Field that does not include the soccer  field or the fountain.

=Area of the larger rectangular field - Area of the Soccer Field-Area of the Semicircular Fountain

=178x+168-2x^2\pi\\=2(89x+84-x^2\pi)

8 0
3 years ago
Which is a factor pair of 72?<br><br>A) 12,6<br><br>B) 14,5<br><br>C)23,4<br><br>D)24,2<br>​
scoundrel [369]

Answer:

the answer is A) 12,6. .

Step-by-step explanation:

.

6 0
3 years ago
Solve the inequality<br> x² + 6x + 8 &lt;0
baherus [9]

Answer:

look above

Step-by-step explanation:

hope it hepls

6 0
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