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saveliy_v [14]
2 years ago
8

The figures below are similar. The labeled sides are corresponding.

Mathematics
1 answer:
aev [14]2 years ago
6 0

Answer: 24 cm

Step-by-step explanation:

P_{square} = side *4

It is multiplied by 4 because a square has 4 equal sides and 4 equal angles.

P = 6 * 4 = 24

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A stand is a frustum shape, formed by removing a small square-based pyramid from the top of
kupik [55]

The frustum can be considered as consisting of a square pyramid, less the

cut volume.

  • The mass of the stand, is approximately 18.60905 kg

Reasons:

The given parameter of the frustum are;

The density of the frustum, ρ = 85 g/cm³

Height of pyramid, h = 9 cm

Side length of base = 10 cm

Height of frustum

By proportional shapes, the side length of the top of the frustum can be found as follows;

\dfrac{4 \, cm}{9 \, cm} = \dfrac{x}{10 \, cm}

x = \dfrac{4 \, cm}{9 \, cm} \times 10 \, cm = 4\frac{4}{9} \, cm

V = \dfrac{h}{3} \times \left(B_1 + B_2 + \sqrt{B_1 \times B_2} \right)

B₁ = 10², B₂ = \left(4\frac{4}{9} \right)^2

Therefore;

V = \dfrac{4}{3} \times \left(10^2 + \left(4\frac{4}{9}  \right)^2  + \sqrt{10^2 \times  \left(4\frac{4}{9}  \right)^2} \right) \approx 218.93

The volume of the stand, V ≈ 218.93 cm³

Mass = Volume × Density

∴ Mass of the stand, m = 218.93 cm³ × 85 g/cm³ = 18,609.05 grams = 18.60905 kg.

Learn more here:

brainly.com/question/24323975

8 0
3 years ago
Your mother gave you a $150 to spend. You bought a pair of shoes for $60 and 3 blouses for $25 each and had to pay the 10% sales
ch4aika [34]
No you cannot because the clothes alone with sales tax are $148.50, and you would need 20 more dollars plus 5 dollars for a meal for yourself if you wanted one.
3 0
3 years ago
Read 2 more answers
Is that correct ????
Travka [436]
Yes I believe it is :)
7 0
3 years ago
How do I solve (|x-3|+5|x|) ?
11111nata11111 [884]

Answer:

x≤0 ⇒|x-3|+5|x| = -6x + 3

0≤x≤3 ⇒ |x-3|+5|x| = 4x + 3

x≥3 ⇒ |x-3|+5|x| = 6x - 3

Step-by-step explanation:

Check the picture below.

6 0
3 years ago
Solve x2 + 15x = –56.
Black_prince [1.1K]
15x = 7x + 8x

x^2+15x=-56\\\\ x^2+15x+56=0\\\\ x^2+7x+8x+56=0\\\\x(x+7)+8(x+7)=0\\\\ (x+7)(x+8)=0 \\\\ x=-7 \ or \ x=-8
6 0
4 years ago
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