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1 year ago

Find the area of the shaded figure. To do so, subtract the area of the smaller

Mathematics

1 answer:

Vikentia [17]1 year ago

3 0

Answer:

x⁴ - 8x² + 9

Step-by-step explanation:

The Area of the smallest square is A1 = x . x = x²

The Area of the second square is A2 = ( x² - 3 )(x² - 3)

A2 = x⁴ - 3x² - 3x² + 9

A2 = x⁴ - 6x² + 9

The Area of the Shaded shape is A2 - A1

x⁴ - 6x² + 9 - x²

x⁴ - 8x² + 9

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These cylinders are similar. Find the volume of

Basile [38]

Answer:

$V_s=85\ cm^3$

Step-by-step explanation:

Let $V_s\ and\ V_b$ be the volumes of the smaller and bigger cylinder.

The formula for the volume of a cylinder is given by :

$V=\pi r^2 h$

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

$\dfrac{V_s}{V_b}=(\dfrac{h_s}{h_b})^3\\\\\dfrac{V_s}{V_b}=(\dfrac{3}{5})^3\\\\\dfrac{V_s}{V_b}=0.216\\\\V_s=393\times 0.216\\\\V_s=84.8\\\\or\\\\V=85\ cm^3$

So, the volume of the smaller cylinder is equal to $85\ cm^3$ .

3 0

2 years ago

(100 pts.)

ICE Princess25 [194]

Answer:

1260 is the correct answer

remember multiply them :)

Step-by-step explanation:

7 0

2 years ago

PLZ HELP! Need this ASAP! Thx so much :)

saul85 [17]

they are giving you the answer AB=AC, so what that means is that the angles are congruent to each other so if angle AC=15 and angle DC=5 all the angles will be the same.

5 0

3 years ago

Help now pleaseeee!!!

Sliva [168]

Answer:

Step-by-step explanation:

Whitxh answer are u tryna get?

5 0

2 years ago

Can someone offer help to this ratio question

AlekseyPX

Answer:

Cherry Pink has not been made ( $25:17\neq 4:3$ )

Step-by-step explanation:

Given that she already has 60litres of Rose Pink paint, we use the ratios to determine the volumes of red/white used:

$Rose Pink=60l\\\\Red=\frac{1}{3}\times 60\\\\=20l\\\\White=\frac{2}{3}\times 60\\\\=40l$

#Add these proportions to the additional red and white paints to determine if Cherry Pink has been made:

$V_r=20l+80l\\\\=100l\\\\V_w=40l+28l\\\\=68l\\\\\therefore r:w=100l:68l \ \ \ \ \ \ \ \ \ \ \# simplify\\\\r:w=25:17$

We equate this proportion to the Cherry Pink proportion to verify if Cherry pink has been made:

$25:17\neq 4:3$

Hence, Cherry pink has not been made.

3 0

3 years ago