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3 years ago

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:

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 )

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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:

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

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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