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3 years ago

Which two number add up to 6 and multiply to 12

1 answer:

8 0

No two numbers add up to 6 and multiply up to 12. The only factors of 12 are:
1 and 12, 2 and 6, 3 and 4. None of these three pairs can add up to 6.

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Explain how you can use a number line to show that 5/8 is greater than 3/8

vladimir2022 [97]

You can start by drawing a number line and labeling it with eighths. ( 1/8, 2/8, etc.) Then you can place a dot on 3/8 and 5/8. From there, it's clear to see that 5/8 is greater than 3/8.

6 0

3 years ago

Read 2 more answers

Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re

fiasKO [112]

Answer: $R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}$

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts $38^{\circ}$ angle to each other

The resultant of the two forces is given by

$\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}$

Insert the values

$\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb$

Resultant makes an angle of

$\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}$

So, the resultant makes an angle of $22.57^{\circ}$ with 9 lb force

Angle made with 13 lb force is $38^{\circ}-22.57^{\circ}=15.43^{\circ}$

7 0

3 years ago

Read 2 more answers

Kristen is creating a rectangular garden in her back yard. The length of the garden is 13 feet. The perimeter of the garden must

Ira Lisetskai [31]

So what’s the question?

5 0

2 years ago

Can you please explain how to do the above completing the ratio tables. Thank you in advance for your help

Stells [14]

Ratio tables show equivalent ratios between two quantities. You can create a ratio table by multiplying (or dividing) both quantities in the ratio by the same value to find an equivalent ratio.

7 0

3 years ago

What equation of a line that passes through (7, 8) and has a slope of -3?

IgorC [24]

Answer:

The equation of this line is y = -3x + 29

Step-by-step explanation:

In order to find this, start with the basic form of point-slope form.

y - y1 = m(x - x1)

Now put the slope in for m and the point in for (x1, y1)

y - 8 = -3(x - 7)

Now solve the equation for y.

y - 8 = -3x + 21

y = -3x + 29

3 0

3 years ago