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sp2606 [1]
3 years ago
15

Pls help me complete this

Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0

Answer: The number of times a yellow cube will be drawn is 390 times.

Step-by-step explanation: Like the last question with the blue cubes, set up a ratio.

Since it is still 240 times drawn and we need to figure out how many times a yellow cube will be drawn from 1200 times, the top number only changes.

78/240 = x/1200

Multiply 78 and 1200, which is 93,600.

Divide that by 93,600, which is 390.

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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
Y= 3/4x + 7; <br> domain = {-8, -4, 12}<br> whats the range?
stiv31 [10]
Range is all real
(-inf, inf )
5 0
2 years ago
The volume of a can is 8.50 m' Express this volume in (a)cm^3, (b)ft^3, (c)in^3.
jeyben [28]

Answer:

(tex)2)240 = 15n( |tex)

7 0
3 years ago
Which of the following shows the division problem below in synthetic division
alexandr402 [8]

Answer:

The Answer is C

Step-by-step explanation:

Look at each coefficient next to the degree of the radical. When inputting that number for synthetic division (From greatest degree to least) you would get 8 1 and -5. The number that is the divisor is the 6, but you have to set (x - 6) to equal zero, which would get you a number of 6.

7 0
3 years ago
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Radio signals travel at a rate of 3 × 108 meters per second. How many seconds will it take for a radio signal to travel from a s
blondinia [14]
The time taken for radio signal to the earth's surface we shall proceed as follows;
time=(distance)/(speed)
Distance=7.5×10^6 meters
speed=3×10^8 meters/second
therefore:
Time=(7.5×10^6)/(3×10^8)=0.025 seconds
We conclude that it will take the signal 0.025 seconds to reach the surface of the earth.
3 0
3 years ago
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