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borishaifa [10]

3 years ago

10

Sixty percent of those present at the performance were neophytes. If 200 present were not neophytes, how many people attended th

e performance?

1 answer:

Marysya12 [62]3 years ago

5 0

Answer:

450

Step-by-step explanation:

I do mental math. I think this is right if not then I am sorry

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What is the volume of the oblique cube

serious [3.7K]

Answer:

$\large\boxed{V=\dfrac{1600\pi}{3}\ cm^3}$

Step-by-step explanation:

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 10cm and H = 16cm. Substitute:

$V=\dfrac{1}{3}\pi(10^2)(16)=\dfrac{1}{3}\pi(100)(16)=\dfrac{1600\pi}{3}\ cm^3$

6 0

3 years ago

A movie theater has a capacity of 241. The theater chargers $5 for children, $7 for students and $12 for adults. There are half

STatiana [176]

70(5) + 175(8) + 35(4) =

350 + 1400 + 140 = 1890

7 0

3 years ago

Find the LCM of 6 and 8.<br><br> A) 12 <br> B) 18 <br> C) 24 <br> D) 36

frez [133]

Answer:

The answer is C) 24

3 0

3 years ago

Let y in the form of a + ib, where a and b are real numbers, be the cubic roots of a complex number z 20, where z =2 4+i3. Find

GalinKa [24]

The possible values of a + b are 0.89, 3.01 and -3.9

<h3>How to determine the value of a + b?</h3>

The given parameters are:

y = a + ib

z = 24 + i3

Where:

y = ∛z

Take the cube of both sides

y³ = z

Substitute the values for y and z

(a + ib)³ = 24 + i3

Expand

a³ + 3a²(ib) + 3a(ib)² + (ib)³ = 24 + i3

Further, expand

a³ + i3a²b + i²3ab² + i³b³ = 24 + i3

In complex numbers;

i² = -1 and i³= -i

So, we have:

a³ + i3a²b + (-1)3ab² -ib³ = 24 + i3

Further expand

a³ + i3a²b - 3ab² - ib³ = 24 + i3

By comparing both sides of the equation, we have:

a³ - 3ab² = 24

i3a²b - ib³ = i3

Divide through by i

3a²b - b³ = 3

So, we have:

a³ - 3ab² = 24

3a²b - b³ = 3

Using a graphing tool, we have:

(a,b) = (-1.55, 2.44), (2.89,0.12) and (-1.34,-2.56)

Add these values

a + b = 0.89, 3.01 and -3.9

Hence, the possible values of a + b are 0.89, 3.01 and -3.9

Read more about complex numbers at:

brainly.com/question/10662770

#SPJ1

6 0

2 years ago

Can anyone math experts help and guide me through these questions❓

Lubov Fominskaja [6]

Step-by-step explanation:

The volume of a cube is

$a {}^{3}$

where a is the side length,

Note: If you want to remember this formula, know that a cube is basically a bunch of squares stacked on one another vertically and horizontally

The area of a square with side length a, is

${a}^{2}$

If we multiply that by the height of the cube, which is a.

${a}^{2} \times a = {a}^{3}$

That is the easy way to derive the formula of the volume of a cube.

Back on track, we know the volume so we must solve for a.

1.

$125 = {a}^{3}$

Assuming you took algebra, to isolate the variable a, we must undo it being raised to the third power.

To do this, we take the cube root of both sides

$\sqrt[3]{125} = \sqrt[3]{a {}^{3} }$

The cube root of 125 is 5 so

$5 = a$

5 cm

2.

$8 = {a}^{3}$

$\sqrt[3]{8} = \sqrt[3]{ {a}^{3} }$

$2 = a$

2 ft

3.

$343 = {a}^{3}$

$a = 7$

7 yd

4.

$1000 = a {}^{3}$

$10 = a$

10 mm

5.

$1728 = {a}^{3}$

$a = 12$

12 in. or 1 ft

6.

$1 = {a}^{3}$

$a = 1$

1 m

4 0

2 years ago

Read 2 more answers