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pychu [463]
3 years ago
6

Bald-faced hornets have a hive that is approximately cone-shaped, as shown in the image. One such hive has a radius of 15 inches

and a height of 20 inches.
What is the volume of this hive rounded to the nearest tenth?
Mathematics
1 answer:
sineoko [7]3 years ago
7 0

Answer:

Volume of the hive is 4712.4 square inches.

Step-by-step explanation:

Since hive has the shape of a cone with radius = 15 inches and height = 20 inches

Therefore, volume of the given cone = \frac{1}{3}(\text{Area of the base})\times \text{height}

Area of the circular base = πr²

Area = π(15)²

        = 225π

Volume of the cone = \frac{1}{3}(225\pi )\times{20}

                                 = 1500π

                                 = 4712.39

                                 ≈ 4712.4 square inches

Therefore, volume of the hive is 4712.4 square inches.

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Luba_88 [7]
The answer is 2. You write the number in exponential form with a base of 2, then reduce the index of the radical and exponent with 4. Use photomath if you need more help with explanations.

3 0
3 years ago
The drama department at Oak Hill High School is hosting a spring play. Tickets for the play are $4 for students (s) and $6 for a
LekaFEV [45]

Answer:

pretty sure its c

Step-by-step explanation:

4s+6a represents how much money the tickets cost per person and they want to raise at least 1600 dollars

s+c represents how many people and they want at least 300 people to attend.

not sure what that last bit is but c is the most logical answer

6 0
3 years ago
Mrs. Write makes cookies for the school bake sale. She uses the equation y=0.50x to determine the cost, y, for x cookies. Which
Anni [7]

Answer:D

Step-by-step explanation: just trust me on this one i have a 103% in 9th grade math

3 0
3 years ago
What is the quotient of (6.3 × 10^8) ÷ (9 × 10^2)​
marusya05 [52]

Hey there!

10^8 = 10 • 10 • 10 • 10 • 10 • 10 • 10 • 10 = 100 • 100 • 100 • 100 ➡️ 100,000,000

10^2 = 10 • 10 ➡️ 100

(6.3 • 100,000,000) ÷ (9 • 100)

6.3 • 100,000,000 = 630,000,000

9 • 100 = 900

630,000,000/900 = 700000

Answer: 700,000 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

6 0
3 years ago
A plane traveling with the wind travels 900 miles in 5 hours. the return trip is against the wind and takes 9 hours. find the ra
Aneli [31]

Using the relation between velocity, distance and time, it is found that:

  • The rate of the plane in still air is of 140 mph.
  • The rate of the wind is of 40 mph.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is <u>distance divided by time</u>, that is:

v = \frac{d}{t}

A plane traveling with the wind travels 900 miles in 5 hours, hence:

v_a + v_w = \frac{900}{5}

v_a + v_w = 180

The return trip is against the wind and takes 9 hours, hence:

v_a - v_w = \frac{900}{9}

v_a - v_w = 100

From the first equation, we have that:

v_w = 180 - v_a{/tex]Replacing on the second:[tex]v_a - v_w = 100

v_a - 180 + v_a = 100

2v_a = 280

v_a = 140

[tex]v_w = 180 - 140 = 40{/tex]

Hence:

  • The rate of the plane in still air is of 140 mph.
  • The rate of the wind is of 40 mph.

More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569

4 0
2 years ago
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