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professor190 [17]

3 years ago

13

20 out of 50 rolls of a number cube resulted in a 2 being rolled.Based on this imformation, if the cube was rolled 220 times,how

many rolls of 2 would be expected

1 answer:

jolli1 [7]3 years ago

3 0

Answer:

88 rolls of 2.

Step-by-step explanation:

By proportion that would be 220 * 20/50

= 220 * 0.4

= 88.

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andrew11 [14]

Answer:

6×6

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From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle

Mariulka [41]

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ $1\text{ minute } =\frac{1}{60}\text{ degree }$

$20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}$

$50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}$

By the below diagram,

$tan ( 12^{\circ} 50') = \frac{8.20}{y}$

$tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}$

$tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}$

$\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}$

Now, again by the below diagram,

$tan (31^{\circ}20')=\frac{x}{y}$

$tan(31+\frac{1}{3})=\frac{x}{y}$

$\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91$

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8 0

3 years ago

PLS HELP ILL MARK BRAINLIEST!!!

Novay_Z [31]

Answer:

X is 20 :)

Step-by-step explanation:

this is what you would do

set (2+3x)= 62

3x=62-2

3x=60

60/3=x

x=20!

8 0

3 years ago

Which equation describes the line whose x-intercept is (4,0) and whose y-intercept is (0,-3)?

lilavasa [31]

Answer:

$y = \frac{3}{4}x - 3$

Step-by-step explanation:

In slope intercept form y = mx + b

We have the y intercept already so our equation becomes y = mx -3. Now we need to figure out the slope, we do this by subtracting the y values from both points and the x values from both points:

-3 - 0 = -3

0 - 4 = -4

Slope = -3/-4 the negatives cancel and now we have 3/4 as the slope.

Now the equation is y = 3/4x -3

$y \: = \: \frac{3}{4} x \: - 3$

Double checking by inputting values such as x = 0 we now get (0, -3) which is correct and if the x-intercept is 4 then it should give us a y value of 0 which = (4,0). Yep! This is the correct linear equation for the line described

7 0

3 years ago