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torisob [31]
2 years ago
15

Scott has eight CDs, and he picks two to take to work each day. How many different ways can Scott choose two CDs?

Mathematics
2 answers:
blondinia [14]2 years ago
5 0

Answer:

The total number of ways to select 2 CDs from 8 CDs is 28.

Leokris [45]2 years ago
3 0
He can choose them 28 different ways
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A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What
ivann1987 [24]

Step-by-step explanation:

<h3>Need to FinD :</h3>

  • We have to find the measures of other two angles of triangle.

\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}

We know that,

  • The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

  • The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.

\rule{200}{3}

\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

\rule{200}{3}

Second AnglE :

  • 3x
  • 3 × 10
  • 30°

∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

\rule{200}{3}

Third AnglE :

  • 14x
  • 14 × 10
  • 140°

∴ Hence, the measure of the third angle of the triangle is 140°.

5 0
2 years ago
0.75,1/2,0.4, and 1/5 from least to greatest
avanturin [10]
0.4, 0.75, 1/2, 1/5
6 0
3 years ago
Read 2 more answers
Which of the following are ordered pairs for the equation y = -4x + 5? (0,5) (1,1) (-1,9) (0,5) (-1,-1) (-1,-9) (0,5) (1,-1) (-1
Brut [27]

The first one  is your answer because if you plug into the cal it shows the x and y table and it shows that the first one is correct.

5 0
3 years ago
What is the exact volume of the cylinder?
lesantik [10]
Volume of the cylinder=area (circle) x height
area (circle)=πr²
r=radius=4 in.
area=π(4 in)²=16π in²
height=8 in

Volume of the cylinder=(16π in²)(8 in)=128π in³≈402.12 in³

Answer=  128π in³        or        402.12 in³

7 0
3 years ago
Which number line best represents the solution to the inequality 3.3w - 9 &gt; -22.2?<br> picture ↓
Sergeu [11.5K]

Answer:

solve the inequality in the form of w

7 0
2 years ago
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