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lbvjy [14]
2 years ago
10

I need help on this, will someone try and help me out? PLEASE

Mathematics
2 answers:
sattari [20]2 years ago
7 0
Step 1.) Multiply both sides of the equation by -6

step 2.) Sum the equations vertically to eliminate at least one variable

step 3.) Divide both sides of the equation by

step 4.) Substitute the given value of into the equation x - 2y = 10

step 5.) Solve the equation for x

step 6.) The possible solution of the system is the ordered pair (x , y)

step 7.) Check if the given ordered pair is the solution of the system of equations

step 8.) Simplify the equalities

step 9.) Since all of the equalities are true, the ordered pair is the solution of the system


So your answer would end up being (40/13 , -45/13) !! Hope that helps you out :D !!
kumpel [21]2 years ago
7 0

Answer:

x=4 y=-3

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

x−2y=10 ; 6x+3y=15

Step: Solve x −2y= 10for x:

<em>x − 2y + 2y = 10 + 2y</em><em> </em>(Add 2y to both sides)

<em>x=2y+10</em>

Step: Substitute 2y+10 forx in 6x+3y=15:

<em>6x+3y=15</em>

<em>6x+3y=156(2y+10)+3y=15</em>

<em>15y</em><em>+</em><em>60</em><em>=</em><em>15</em><em> </em>(Simplify both sides of the equation)

<em>15y+60+−60=15+−60</em><em> </em>(Add -60 to both sides)

15y=−45

<em>15y</em><em>/</em><em>15=−45</em><em>/</em><em>15</em>(Divide both sides by 15)

y=−3

Step: Substitute −3 for y inx=2y+10:

x=2y+10

x=(2)(−3)+10

x=4(Simplify both sides of the equation)

Answer:

x=4 and y=−3

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m_a_m_a [10]

Answer:

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

Step-by-step explanation:

A. The formula for the volume of a hemisphere is ...

  V = (2/3)πr³

For a radius of 5 m, the volume is ...

  V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³

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B. The formula for the volume of a cylinder is ...

  V = πr²h

For a radius of 5 m and a height of 12 m, the volume is ...

  V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³

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C. Then the total volume is ...

  V = hemisphere volume + cylinder volume

  V = 261.799 m³ +942.478 m³ = 1204.277 m³

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Rounded to the nearest integer, the volumes are ...

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

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As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.

6 0
3 years ago
Construct a quadrilateral ABCD in which AB = 4 cm, BC = 7 cm, angle A = angle C = 105 degree
Lelu [443]

Answer: see attachment

<u>Step-by-step explanation:</u>

Since A = C = 105° and D = 60°,

then A + B + C + D = 360°

     105° + B + 105° + 60° = 260°

               B + 270° = 360°

                          B = 90°      

     

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Answer:

27/100

Step-by-step explanation:

It's in the hundreths,

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