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2 years ago

Find the probability that a point is chosen randomly inside the rectangle is in each given shape...

Mathematics

1 answer:

BaLLatris [955]2 years ago

5 0

Answer:

0.25
0.85

Step-by-step explanation:

P (Triangle or Square) :

Area of Triangle + Area of Square / Area of Rectangle
1/2 x 3 x 4 (height is found by Pythagorean Theorem) + (3)² / 10 x 6
6 + 9 / 60
15/60
0.25

P (Not the square) :

Area of rectangle - Area of square / Area of rectangle
60 - 9 / 60
51/60
17/20
0.85

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Gekata [30.6K]

Answer:

1 a 2d 3a

Step-by-step explanation:

hope this help even though I'm late

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2 years ago

Jack and Diane were saving money to go to a rock n roll concert. They need at least $750 in order to go if you count their gas,

nataly862011 [7]

Answer:

$\left\{\begin{array}{l}y\le 4x\\ \\x\ge 10\\ \\50x+25y\ge 750\end{array}\right.$

Step-by-step explanation:

Let x represents the number of nights Jack worked and y represents the number of nights Diane worked.

1. The number of nights Diane is scheduled to work is no more than four times the number of nights Jack is scheduled to play. Then

$y\le 4x$

2. Diane will work at least 10 times before the concert. Then

$x\ge 10$

3. Jack earns $50 per night that he plays, then he earned $50x in x nights. Diane earns $25 each night she works, then she earns $25y in y nigths. They need at least $750, so

$50x+25y\ge 750$

4. We get the following set of constraints to model the problem:

$\left\{\begin{array}{l}y\le 4x\\ \\x\ge 10\\ \\50x+25y\ge 750\end{array}\right.$

4 0

3 years ago

6p^3q^2 - Find the degree of the monomial

ira [324]

Degree is the highest power of the polinomail

since higest poer is p^3, 3 is higest poer=degree

3rd degree

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3 years ago

Find an equation of each line given one point and the slope : (4, 8); slope 8

Fudgin [204]

Step-by-step explanation:

in such a case the easiest approach might be using the point-slope form of a line equation :

y - y1 = m(x - x1)

with m being the slope, and (x1, y1) being a point on the line.

so, in our case that would be

y - 8 = 8(x - 4)

simplified this would be

y - 8 = 8x - 32

y = 8x - 24

FYI - this would be then the slope-intercept form (-24 would be the intercept point on the y-axis).

3 0

1 year ago

Mateo makes 6 loaves of banana bread. He sells 2/3 of the loves of bread at the bake sale. Which expression represents how many

Lesechka [4]

Answer: 6 * 2/3

Step-by-step explanation:

7 0

3 years ago