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2 years ago

the sides of a rectangle are in the ratio 3:2. what is the length h of each side if the perimeter of the rectangle is 30cm?

1 answer:

7 0

An easy way to solve this is to simply multiply the ratio until the 3:2(2) equals 30. We should multiply the 3 and 2 by 3 because that makes the equation 9:6. 9+6=15, which we then multiply by 2 because there are 4 sides.

Using the logic above, we can see that the length is 9 and the width is 6.

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Explain why the exponents cannot be added in the product 12^3 x<br> 11^3.

sergij07 [2.7K]

Answer:

see explanation

Step-by-step explanation:

The exponents can only be added if the bases are the same

Here one base is 12 and the other is 11

So the rule of addition is not applicable.

4 0

2 years ago

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A triangle has one 90-degree angle and one 38.7 - degree angle. What is the measure of the third angle?

tigry1 [53]

The answer is 51.3 degrees because you add 90+38.7=128.7
then you do 180-128.7 because this is a linear/ supplementary triangle which adds up to 180
and you get 51.3 degrees

4 0

3 years ago

Use the quadratic formula to solve x2 + 9x + 10 = 0.<br> What are the solutions to the equation?

vampirchik [111]

Answer:

$\large\boxed{x=\dfrac{-9\pm\sqrt{41}}{2}}$

Step-by-step explanation:

$\text{The quadratic formula of}$

$ax^2+bx+c=0$

$\text{If}\ b^2-4a0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\=========================================$

$\text{We have}\ x^2+9x+10=0\\\\a=1,\ b=9,\ c=10\\\\\text{substitute:}\\\\b^2-4ac=9^2-4(1)(10)=81-40=41>0\qquad _{\text{two solutions}}\\\\\sqrt{b^2-4ac}=\sqrt{41}\\\\x=\dfrac{-9\pm\sqrt{41}}{2(1)}=\dfrac{-9\pm\sqrt{41}}{2}$

5 0

3 years ago

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Find the following trigonometry values <br> cos (150*) = ? <br> sin (150*) = ?

melisa1 [442]

Answer:

See below in bold.

Step-by-step explanation:

cos 150 = - cos(180 - 150)

= - cos 30

= -√3/2.

sin 150

= sin (180 - 150

= sin 30

= 1/2.

4 0

3 years ago

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In AMNO, m = 41 cm, o = 98 cm and Angle O=22º. Find all possible values of Angle M, to the nearest degree.

skelet666 [1.2K]

Answer:

85t

Step-by-step explanation:

1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

hope this helps

6 0

2 years ago

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