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2 years ago

Please help me this is due in a few minutes

Mathematics

1 answer:

Vaselesa [24]2 years ago

7 0

Answer:

Volume of one Bugle => 462.8 mm³

Volume of 18 Bugles => 8,330.4 mm³

Volume formula for a cone => ⅓πr²h

Step-by-step explanation:

Volume of one bugle = volume of cone (V) = ⅓πr²h

Where,

r = 5.1 mm

h = 17 mm

Volume of one Bugle = ⅓*π*5.1²*17 = 462.8 mm³

Volume of 18 Bugles = 462.8 × 18 = 8,330.4 mm³

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How to solve 45y to the second power plus 15y minus 10 ?

Lerok [7]

Answer:

Either y = $\frac{-2}{3}$ or, y = $\frac{1}{3}$

Step-by-step explanation:

We have to solve the following quadratic equation

45y² + 15y - 10 =0

Now, dividing both sides with 5 we get, 9y² + 3y -2 =0

Hence, to solve the above equation we have to factorize the left-hand part of the equation.

So, 9y² + 3y - 2 =0

⇒ 9y² +6y -3y -2 =0

⇒ (3y +2) (3y -1 ) =0

⇒ Either (3y +2) =0 or (3y -1) =0

⇒ Either y = $\frac{-2}{3}$ or, y = $\frac{1}{3}$ (Answer)

4 0

3 years ago

A swimming pool is to be drained. The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. Su

Gala2k [10]

Answer: it will take 9 hours to empty the pool.

Step-by-step explanation:

The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is

30 × 18 × 4 = 2160 ft³

If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence(initial amount of water in the pool when completely full).

d represents the common difference(rate at which it is being pumped out)

n represents the number of terms(hours) in the sequence.

From the information given,

a = 2160 degrees

d = - 216 ft3

Tn = 0(the final volume would be zero)

We want to determine the number of terms(hours) for which Tn would be zero. Therefore,

0 = 2160 - 216 (n - 1)

2160 = 216(n - 1) = 216n + 216

216n = 2160 - 216

216n = 1944

n = 1944/216

n = 9

8 0

3 years ago

Help ASAP give me the correct answer or else bad luck

ira [324]

Answer:

Both answer are "B" im pretty sure. :)

Step-by-step explanation:

6 0

3 years ago

Match the following pair of angles with their respective definitions.HELP

Andreyy89

Answer:

Step-by-step explanation:

3 and 7 - corresponding

2 and 7 - alt exterior

4 and 5 - alt interior

3 and 6 - alt interior

8 0

3 years ago

Read 2 more answers

which of the following are right triangles: a triangle with side lenghts 6 inches, 8 inches,10 inches, a triangle with side leng

amid [387]

9514 1404 393

Answer:

(6, 8, 10) right
(8, 15, 17) right
(5, 12, 13) right

Step-by-step explanation:

It can be helpful to memorize a few of the Pythagorean triples that show up in Algebra problems. Their multiples also form right triangles.

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)

The triple (6, 8, 10) is the first one of these, multiplied by 2 inches.

The only triple that is a sequence of consecutive integers is (3, 4, 5), so you know immediately that (4, 5, 6) does not form a right triangle.

Of course, you can check any of them to see if the squares of the smaller two numbers total the square of the larger number:

4² +5² = 16 +25 = 41 ≠ 6² . . . . . (4, 5, 6) is not a right triangle

5 0

3 years ago