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OLga [1]
3 years ago
11

I need help with my homwork

Mathematics
1 answer:
Reil [10]3 years ago
6 0
M= 1/2x+6
N= 1/2x-3
They both have the same slope.
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A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of t
docker41 [41]

Answer:

See below ~

Step-by-step explanation:

<u>Things to Find</u>

  1. Volume of Toy
  2. Difference of Volumes in Cube and Toy
  3. Total Surface of Toy

<u>Volume of Toy</u>

  • Volume of Hemisphere + Volume (Cone)
  • 2/3πr³ + 1/3πr²h
  • 1/3πr² (2r + h)
  • 1/3 x 3.14 x 16 (8 + 4)
  • 1/3 x 50.24 x 12
  • 50.24 x 4
  • <u>200.96 cm³</u>

<u></u>

<u>Volume of Circumscribing Cube</u>

  • Edge length is same as diameter
  • V = (8)³
  • V = 512 cm³

<u>Difference in Volume</u>

  • 512 - 200.96
  • <u>311.04 cm³</u>

<u></u>

<u>Slant height of cone</u>

  • l² = 4² + 4²
  • l² = 32
  • l = 4√2 cm = 5.6 cm

<u />

<u>Surface Area of Toy</u>

  • CSA (hemisphere) + CSA (Cone)
  • 2πr² + πrl
  • πr (2r + l)
  • 3.14 x 4 (8 + 5.6)
  • 12.56 x 13.6
  • <u>170.8 cm²</u>
3 0
2 years ago
Find the solution set for this equation:<br> -a2+4a=0<br> (Separate the two values with a comma)
Rashid [163]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \: \{ 0,4 \}

____________________________________

\large \tt Solution  \: :

\qquad \tt \rightarrow \: -  {a}^{2}  + 4a = 0

\qquad \tt \rightarrow \: - ( {a}^{2}  - 4a) = 0

\qquad \tt \rightarrow \: {a}^{2}  - 4a = 0

\qquad \tt \rightarrow \:a(a - 4) = 0

The two cases are :

  • a = 0

or

  • a -4 = 0, that leads to a = 4

We can conclude :

\qquad \tt \rightarrow \:solution \: (a)  = \{ 0,4\}

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

5 0
2 years ago
Read 2 more answers
Please help like right now ABC = RSO<br> Find m
Alja [10]

Answer:

50⁰

Step-by-step explanation:

the 2 triangles are congruent, meaning the angles equal the same. angles B and S are the same, angles A and R are the same, and angles Q and C are the same (congruent)

6 0
3 years ago
Buy a bike that costs $189 I have saved $99 so far I plan to save $10 each week how many weeks will I have enough money to buy t
Studentka2010 [4]
It Will Take 9 days with the money you have
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5 0
3 years ago
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Estimate the measure of
Lelu [443]

Answer:

148°

Step-by-step explanation:

it is very close to the 150 line and the option closest to 150 is 148

8 0
3 years ago
Read 2 more answers
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