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3 years ago

If 25% of a number is 50 and 35% of the same number is 70, find 10% of that number.

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

5 0

Answer:

10%×200=20

Step-by-step explanation:

25%×200=50

35%×200=70

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A shipping company uses the box shown.

ICE Princess25 [194]

Answer:

300 cm^2

Step-by-step explanation:

The volume of the rectangular prism is calculated by multplying lenght to the widht to the height

20*15*10 = 300 cm^2

6 0

3 years ago

I have no idea what I'm doing help

lys-0071 [83]

3) 1 lb=16 oz. multiply the number of lbs by 16 to get number of oz: 320x16=5,120. Since they want per month divide by 12: 5120/12=426.6667. Rounded to the nearest tenth: 426.7 oz. hope this helps :)

7 0

3 years ago

Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?

mixer [17]

Given:

$|u|=10$ at an angle of 45°.

$|v|=13$ at an angle of 150°.

$w=u+v$

To find:

Magnitude and direction angle of w.

Solution:

We have,

$w=u+v$

$\theta = 45^\circ, \phi = 150^\circ$

Now,

$u_x=|u|\cos \theta=10\cos 45^\circ=7.071$

$u_y=|u|\sin \theta=u_y=10\sin 45^\circ=7.071$

$v_x=|v|\cos \phi=13\cos 150^\circ=-11.25833$

$v_y=|v|\sin \phi=u_y=13\sin 150^\circ=6.5$

Using these information, we get

$R_x=u_x+v_x=7.071-11.25833=-4.18733$

$R_y=u_y+v_y=7.071+6.5=13.571$

$\text{Direction angle}=\tan^{-1}(\dfrac{R_y}{R_x})$

$\text{Direction angle}=\tan^{-1}(\dfrac{13.571}{-4.18733})$

$\text{Direction angle}=-72.8239$

$\text{Direction angle}=107.1476$

$\text{Direction angle}\approx 107.1$

Now,

$|w|=\sqrt{(|u|\cos \theta +|v|\cos \phi)^2+(|u|\sin \theta +|v|\sin \phi)^2}$

$|w|=\sqrt{(10\cos(45)+13\cos 150)^2+(10\sin(45)+13\sin 150)^2}$

$|w|=\sqrt{(10(\dfrac{1}{\sqrt{2}})+13(-\dfrac{\sqrt{3}}{2}))^2+(10(\dfrac{1}{\sqrt{2}})+13(\dfrac{1}{2}))^2}$

$|w|=14.20236$

$|w|\approx 14.20236$

Therefore, the correct option is D.

4 0

2 years ago

Read 2 more answers

A sick man takes 10 ml of medicine three times a day. How much medicine does he take in 15 days.

Dmitriy789 [7]

Answer:

450 ml

Step-by-step explanation:

10 ml x 3 times = 30 ml

1 days = 30 ml

15 days = 450 ml

3 0

2 years ago

Seven less than the product of twice a number is greater than 5 more than the same number

Afina-wow [57]

Seven less than (-7) than the product of twice a number (2x) is greater than (>) five more than (+5) the same number (x)

2x-7>x+5
treat the > sign as an equals for now
2x-7=x+5
subtract x from both sides
x-7=5
add 7 to both sides
x=12
put the > sign back in
x>12

7 0

3 years ago