the sides of a rectangle are in the ratio 5:7 and the perimeter of the rectangle is 96cm. What is the area of the rectangle?
Answers
length = 7x
Perimeter = 10x + 14x = 24x = 96cm
x = 96/24 = 4cm
width = 5x = 20cm
length = 7x = 28cm
Area = (20cm x 28cm) = 560 cm²
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Two sides of a triangle have lengths 10 and 15. What must be true about the length of the third side? less than 25 / less than or equal to 25 /equal to 25/ more than 25
Answers
What is probability ?
Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Let us assume that, A be the event of winning the lottery.
The probability of winning is,
P(A) = 1/10
Since, 5 tickets are bought,
The probability of winning all five can be given by formula
According to the given condition,
n=5 and r=5
Probability = = (1/10)⁵
Therefore, the probability of winning all five = (1/10)⁵
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Answer:
Step-by-step explanation:
Let us assume that, A be the event of winning the lottery.
The probability of winning is,
You bought 5 tickets. Winning all the five lotteries will be,
B.If a figure is a rectangle, then it is a square.
C.If a figure is not a square, then it is not a rectangle.
D.If a figure is not a rectangle, then it is not a square.
Answers
Contrapositive is when it switches the two sides up and makes it negative as well.
Answer:
D
Step-by-step explanation:
B. length − width − height
C. length + width + height
D. length × width × height
Answers
Answer:
D. length × width × height
Step-by-step explanation:
That is how you calculate the volume of a shape.
Answers
Answer:
for a half an hour the car travels 13.75 miles
Step-by-step explanation:
Answer:
Suppose you travel a distance of 100 miles, and it takes 1 1/2 hours to do it. Your average speed is then 100 miles divided by 1.5 hours which equals 66.67 miles per hour.
Step-by-step explanation:
(2) 25 (4) 28
Answers
Therefore,
2x0+x!= 0+x! = 0+4!
4*3*2*1 = 24 (#1)
2x4= 8
8x0=0
4!=24. 1x2x3x4=24
0+24=24
Answers
line is
1 of 3
y= m. x+c
where m is the slope of the line.
The equation for the first line is 2x + ky = 3
To find the slope, we simply have to rewrite the
given equation into its slope-intercept form.
Start by subtracting 2a from both sides
KY
=
-22 +3
Divide both sides by k
y =
2
•It
3
K
K
The above equation is now in slope-intercept
form, and the coefficient of a is -2/k, so that
is the slope for the first line.
Final answer:
The two lines 2x + ky = 3 and x + y = 1 are parallel when the value of k equals 2, as parallel lines have equal slopes.
Explanation:
To determine the values of k for which these two lines are parallel, we need to first understand that parallel lines have the same slope. The slope is the coefficient, or number, with the variable x in the equation of the line.
The first line 2x + ky = 3 can be rewritten in slope-intercept form (y = mx + b) as:
y = -2/kx + 3/k
Here, the slope is -2/k. The second line x + y = 1 can also be rewritten in slope-intercept form as:
y = -x + 1
Here, the slope is -1.
Since the slopes of parallel lines are equal, we equate -2/k to -1:
-2/k = -1
Solving this equation, we find that k = 2. So, the two given lines are parallel when k = 2.
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