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Katena32 [7]
3 years ago
12

Round 0.868 to the nearest tenth.

Mathematics
2 answers:
Anna11 [10]3 years ago
4 0

Answer: 0.9

Step-by-step explanation:

Nitella [24]3 years ago
3 0

Answer: 0.9

If we round 0.868 then the answer would be 0.9

When we round and the number is 5, 6, 7, 8, 9, then you will go ahead and round it. If the number is below 5 then do not round the number.

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Indicate whether the lines are parallel, perpendicular, or neither.
Diano4ka-milaya [45]

Answer:

Perpendicular

Step-by-step explanation:

6 0
3 years ago
Use the quadratic formula to find the solutions to the quadratic equation below 2x^2-5x+5=0
Serggg [28]

Answer:

x = (5 + i sqrt(15))/4 or x = (5 - i sqrt(15))/4

Step-by-step explanation:

Solve for x:

2 x^2 - 5 x + 5 = 0

Hint: | Using the quadratic formula, solve for x.

x = (5 ± sqrt((-5)^2 - 4×2×5))/(2×2) = (5 ± sqrt(25 - 40))/4 = (5 ± sqrt(-15))/4:

x = (5 + sqrt(-15))/4 or x = (5 - sqrt(-15))/4

Hint: | Express sqrt(-15) in terms of i.

sqrt(-15) = sqrt(-1) sqrt(15) = i sqrt(15):

Answer: x = (5 + i sqrt(15))/4 or x = (5 - i sqrt(15))/4

5 0
3 years ago
Write an equation that represents the total cost for pop music bundles. Write another equations to represent the total cost for
Anestetic [448]

Answer:

Equation for the total cost for pop music bundles = $ 1200 x + 300

Where variable is the Cost.

Equation for the total cost for rock music bundles = $ 950 x + 250

Where variable is the Cost.

Step-by-step explanation:

P.S - The exact question is -

Given - The Music Express is going to buy music bundles from a

             company that is going out of business. The company

             charges different amounts for bundles of pop and rock

             music:

             Cost for each pop music bundle is $1200

             Cost for each rock music bundle is $950

             One - time fee for rights to the pop music is $300

             One - time fee for rights to the rock music is $250.

To find - Write an equation that represents the total cost for pop

               music bundles.

              Write another equations to represent the total cost for rock

              music bundles.

              Identify the variables in the equations.

Proof -

Given that,

Cost for each pop music bundle is $1200.

Cost for each rock music bundle is $950.

One - time fee for rights to the pop music is $300.

One - time fee for rights to the rock music is $250.

Let the total music bundles buy = x

Now,

Given, Cost for 1 pop music bundle = $1200

⇒Cost for x pop music bundles = $ 1200 x

Also given,

One - time fee for rights to the pop music is $300.

∴ we get

Equation for the total cost for pop music bundles = $ 1200 x + 300

Where variable is the Cost.

Now,

Given, Cost for 1 rock music bundle = $950

⇒Cost for x pop music bundles = $ 950 x

Also given,

One - time fee for rights to the pop music is $250.

∴ we get

Equation for the total cost for rock music bundles = $ 950 x + 250

Where variable is the Cost.

5 0
2 years ago
Write the equation of the line shown.
defon
4,5 is the answer I think
6 0
2 years ago
What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?
Sati [7]

<u>Answer-</u>

<em>The coordinates of the orthocenter of △JKL is (-4, 8)</em>

<u>Solution-</u>

The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

For a right angle triangle, the vertex at the right angle is the orthocentre of the triangle.

Here we are given the three vertices of the triangle are  J(-4,-1), K(-4,8) and L(2,8)

If the triangle JKL satisfies Pythagoras Theorem, then triangle JKL will be a right angle triangle.

Applying distance formula we get,

JK^2= (-4+4)^2+ (8+1)^2=0+81=81\\\\KL^2= (-4-2)^2+ (8-8)^2=36+0=36\\\\JL^2= (-4-2)^2+(8+1)^2=36+81=117

As,

\Rightarrow 117=81+36

\Rightarrow JL^2=JK^2+KL^2

\Rightarrow \text{JKL is a right angle triangle}

\Rightarrow \angle K=90^{\circ}

Therefore, the vertex at K (-4, 8) is the orthocentre.

3 0
2 years ago
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