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3 years ago

8. The volume of a box is 7923 cubic meters. If its base has an area of 57 square meters, what is its height?

Mathematics

1 answer:

Sergio039 [100]3 years ago

5 0

Answer:

if the stone makes 150 revolution per minute, the tension force of the string on the stone is

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Convert the complex number z = -12 + 5i from rectangular form to polar form.

Paha777 [63]

Answer:

$z=13(\cos 157\degree +i\sin157\degree)$

Step-by-step explanation:

The given complex number is

$z=-12+5i$

The polar form of this complex number is;

$z=r(\cos \theta +i\sin \theta)$ , where

$r=\sqrt{(-12)^2+5^2}$

$r=\sqrt{144+25}=\sqrt{169}=13$

and

$\theta =\tan^{-1}(\frac{5}{-12})$

This implies that;

$\theta=157\degree$ to the nearest degree.

Hence the polar form is

$z=13(\cos 157\degree +i\sin157\degree)$

7 0

3 years ago

Identify the vertex of y = -1 (x-4)^2 +9 and tell whether it’s a minimum or maximum

sladkih [1.3K]

Answer:

maximum at (4, 9)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - 1(x - 4)² + 9 is in this form

with vertex = (4, 9)

• If a > 1 then vertex is a minimum

• If a < 0 then vertex is a maximum

here a = - 1 , hence vertex (4, 9) is a maximum

7 0

2 years ago

The ratio of annoying telemarketing calls to deceptive junk mails was 2:3. If there were 5,000 annoying telemarketing calls and

tia_tia [17]

Answer: 2,000

Step-by-step explanation:

You can write the equation $2x + 3x = 5000$

Then combine like terms $5x = 5000$

Divide by 5 on both sides $x = 1000$

Find 2x $2x = 2000$

5 0

1 year ago

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Find B<br> Plzz find the right answer and don’t just guess

LenaWriter [7]

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2 + b^2 = c^2

B^2 + 8^2 = 15^2

B^2 + 64 + 225

B^2 = 225 - 64

B^2 = 161

B = $\sqrt{161}$ OR 12.7

7 0

2 years ago

15 1/2 - 7 5/8<br>how do i solve this problem

Murljashka [212]

The answer is 7 7/8. Hope this helps!
Here's the math:

5 0

3 years ago

Read 2 more answers