The area of the rectangle will be 150 square meters.
<h3>What is an area?</h3>
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that:-
- The length of a rectangle is 5 m longer than its width.
- The perimeter of the rectangle is 50 m.
The area will be calculated as follows:-
From the given condition in the question, we can form two linear equations they are:-
The length of a rectangle is 5 m longer than its width.
L = w + 5
L - w = 5
The perimeter of the rectangle is 50 m.
P = 2 (L + w )
2 ( L+ w ) = 50
L + w = 25
by solving the two equations we will get the values of L and w.
L - w = 5 or w = L - 5
L + w = 25
L + L - 5 = 25
2L = 30
L = 30 / 2
L = 15
Put the value of L in any equation to get w.
L - w = 5
15 - w = 5
w = 10
Now the area of the rectangle will be:-
A = L x w
A = 15 x 5
A = 150 square meters.
Therefore the area of the rectangle will be 150 square meters.
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Answer:
Step-by-step explanation:
There are 8 Jonathan (red), 4 Granny Smith (green), and 5 Golden Delicious (yellow) apples in the bag.
a) Select 3 apples with replacement. Find the probability that all there are green.
- Given that we are taking all apples with replacement, the probability of getting a green apples remains the same in all 3 trials. Therefore the probability here is computed as:
- = (Number of green apples/Total apples)
Therefore 0.0130 is the required probability here.
b) Select 3 apples with replacement. Find the probability that none are red
Probability that none are red is computed here as:
- = (Number of non red apples/Total apples)
Therefore 0.14838 is the required probability here
c) Select 4 apples with replacement. Find the probability that you get at least 2 red apples
- Probability that we get at least 2 red apples when 4 apples are drawn is computed here as:
- = 1 - (Probability that no red apple is taken out when 4 apples are taken out + Probability that 1 red apple is taken out when 4 apples are taken out)
- = 1 - 8C0 x 9C4 + 8C1 x 9C3 / 17C4
Therefore 0.6647 is the required probability here
d) Select 2 apples with replacement. Find the probability that the second apple is yellow given that the first apple is red.
- Given that the first apple is red, we are left with 16 apples out of which 5 are yellow. Therefore the required probability here is computed as:
Therefore 0.3125 is the required probability here
i think the answer to this problem is49
The perpendicular bisector is a line segment that is drawn from a vertex of an angle to the midpoint of another line segment creating a right triangle or a 90° angle in the process. Suppose AB is the base segment of the triangle, therefore the perpendicular sector is also the angle bisector of the other angle of the triangle, supposedly angle C. Angle bisector is a line segment that divides the angle into two equal parts. Imagine a line drawn from the top vertex C extended down to the midpoint of line AB. That is the perpendicular and angle bisector.
Answer:
12.486 Rounded to the Nearest Whole Number
To round 12.486 to the nearest whole number consider the tenths' value of 12.486, which is 4 and less than 5. Therefore, we have to round down: the whole number ones place value of 12.486, 12, remains 12, and the decimal point and all digits (. 486) are removed.
Step-by-step explanation:
