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2 years ago

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A prism with a volume of 450 ft³ is dilated by a factor of 2. what is the volume of the dilated prism? enter your answer in the

box.

1 answer:

d1i1m1o1n [39]2 years ago

6 0

3600 cubed because thats what was the answer

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A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base

timurjin [86]

Answer:

Step-by-step explanation:

Equation for a hyperboloid of one sheet, with center at the origen and axis along z-axis is:

(x/a)² + (y/b)² - (z/c)² = 1 (1)

We have to find a , b, and c

We can express equation (1)

(x/a)² + (y/b)² = (z/c)² + 1 (2)

Now if we cut the hyperboloid with planes parallel to xy plane we get for z = k ( K = 1 , 2 , 3 and so on ) circles of different radius

(x/a)² + (y/b)² = (k/c)² + 1

at z = k = 0 at the base of the hyperboloid d = 300 or r = 150 m

we have

(x/a)² + (y/b)² = 1

x² + y² = a² a² = (150)² a = b = 150

and x² + y² = (150)²

Now the other condition is at 200 m above the base d = 500 m r = 250 m minimum diameter then in equation (2) we have:

(x/a)² + (y/b)² = (z/c)² + 1

(1/a)² [ x² + y² ] = (z/c)² + 1

but x² + y² = r² and in this case r = 250 m then

(250)²/(150)² = (z/c)² + 1 ⇒ (62500/ 22500) = (200/c)² + 1

2,78 = 40000/c² + 1

2.78c² = 40000 + c²

1.78c² = 40000

c² = 40000/1.78

c² = 22471.91

c = 149,91

Then we finally have the equation:

x²/(150)² + y² /(150)² - z²/149,91 = 1

7 0

2 years ago

Which step shows the result of applying the subtraction property of equality? One-fourth (12 x + 8) + 4 = 3 Step Solution 1 3 x

luda_lava [24]

Answer:

Step-by-step explanation:

Given the equation 1/4 (12 x + 8) + 4 = 3, to fnd the result of the equation, the following steps must be followed.

Step 1: Expand the bracket at the left hand side of the equation using the distributive property.

1/4 (12 x + 8) + 4 = 3

$\frac{1}{4} (12x)+\frac{1}{4}(8) + 4 = 3\\ 3x+2+4 = 3\\3x+6=3$

Step 2: Subtract 6 from both sides of the equation

$3x+6-6 = 3-6\\3x =-3\\x = \frac{-3}{3}\\ x = -1$

3 0

2 years ago

Read 2 more answers

Consider a single spin of the spinner.

alex41 [277]

Answer:

"landing on a shaded portion and landing on a 3"

"landing on an unshaded portion and landing on a number less than 2 "

Step-by-step explanation:

Mutually exclusive means the events will have no intersection.

Let's look at your first choice:

"landing on a shaded portion and landing on an even number"

Landing on a shaded portion would be 1 or 4.

Landing on an even number would be 2 or 4.

There is an intersection (they contain a common element), the 4.

These events are not mutually exclusive.

Let's look at your second choice:

"landing on a shaded portion and landing on a number greater than 3"

Landing on a shaded portion would be 1 or 4.

Landing on a number greater than 3 would be just 4.

There is an intersection; they both contain 4.

These events are not mutually exclusive.

Let's look at your third choice:

"landing on a shaded portion and landing on a 3"

Landing on a shaded portion would be 1 or 4.

Landing on 3 would just be 3.

There is no common elements in the lists listed. These events have no intersection.

These events are mutually exclusive.

Let's look at your fourth choice:

"landing on an unshaded portion and landing on an odd number"

Landing on a unshaded portion would be 2 or 3.

Landing on an odd number would be 1 or 3.

There is an intersection; they both have 3 in common.

These events are not mutually exclusive.

Let's look at your fifth choice:

"landing on an unshaded portion and landing on a number less than 2 "

Landing on an unshaded portion would 2 or 3.

Landing on a number less than 2 would be 1.

There is no intersection.

These events are mutually exclusive.

6 0

2 years ago

Read 2 more answers

Write the ratio as a fraction in simplest form: 2.35 to 5.25.

Sliva [168]

Step-by-step explanation:

$\frac{2.35}{5.25} = \frac{235}{525} = \frac{47}{105} = 47 \: : \: 105 \\$

4 0

2 years ago

Which of the following is being constructed in the image?

madam [21]

The answer is C, a perpedicular bisector. The distances of the mark along the given line are equidistance. Where the x is located, where the two dashes would intersect is where a 90 degre angle to the line would pass through.

5 0

2 years ago

Read 2 more answers