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4 years ago

Solve the following inequality.

Mathematics

1 answer:

Crazy boy [7]4 years ago

4 0

Answer:

A -6 < x ≤ -3

Step-by-step explanation:

21 ≤ - 3(x - 4) < 30

Divide all parts by -3. Remember that flips the inequalities

21/-3 ≥ - 3/-3 (x - 4) > 30/-3

-7 ≥ (x - 4) > -10

Add 4 to all sides

-7+4 ≥ x - 4+4 > -10+4

-3 ≥ x > -6

Rearranging the order

-6 < x ≤ -3

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Lorico [155]

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4 years ago

A) 3x = 18<br> b) 2x=9<br> c) =7<br> d) x/5= 7

lilavasa [31]

Answer:

a) 6

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3 years ago

On a blueprint, the scale says that 2 cm represents 3 m. What is the actual length of a wall if its measurement on the blueprint

Leokris [45]

Answer:

The actual length of the wall is 10.5 m

Step-by-step explanation:

Write and solve an equation of ratios to answer this question:

2 cm 3 m

--------- = ---------

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Solve this for L by inverting both sides:

7cm L

---------- = --------

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and then multiplying both sides by 3m:

----- = L

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4 0

3 years ago

Read 2 more answers

Cos^(2)x=(cscxcosx)/(tanx+cotx)

bixtya [17]

$\cos^2 x = \dfrac{\csc x \cos x}{\tan x + \cot x}$

$\cos^2 x = \dfrac{\csc x \cos x}{\dfrac{\sin x}{\cos x} + \dfrac{\cos x}{\sin x}}$

$\cos^2 x = \dfrac{\csc x \cos x}{\frac{\sin x}{\cos x} \times 
\frac{\sin x}{\sin x} + \frac{\cos x}{\sin x} \times \frac{\cos x}{\cos 
x}}$

$\cos^2 x = \dfrac{\csc x \cos x}{\frac{\sin^2 x}{\sin x \cos x} + \frac{\cos^2 x}{\sin x \cos x}}$

$\cos^2 x = \dfrac{\csc x \cos x}{\frac{1}{\sin x \cos x}}$

$\cos^2 x = \csc x \cos x \sin x \cos x$

$\cos^2 x = \dfrac{1}{\sin x} \cos x \sin x \cos x$

$\cos^2 x = \cos^2 x$

6 0

3 years ago

PLZ HELP this doesnt make sense

Otrada [13]

Answer:

No.

If two rectangles are congruent, it means they are the exact same shape and size.

I have uploaded an image with this answer. In the image, you can see two rectangles with the same perimeter. However, they are not congruent because they are not of the same size (even though they are of the same shape - a rectangle).

Hence, two rectangles may not be congruent if they have the same perimeter.

4 0

4 years ago