Given:
The area of a square picture frame is 55 square inches.
To find:
The length of one side of the frame.
Solution:
Let the length of one side of the frame is x inches.
Area of square is
where a is side length.
Area of frame is
Taking square root on both sides.
, so . Since 55 is closer to 49, therefore, is closer to 7.
Therefore, the length of one side of the frame is 7 inches.
A.
–3
B.
3
C.
–7
D.
7
–6x + 4y = 0
A.
(2, 3)
B.
C.
(5, 1)
D.
(–2, –3)
2x + 3y = 13
–6x + 4y = 0
multiply the first equation by 3
6x +9y = 39
then add the 2nd equation to the first
6x +9y = 39
–6x + 4y = 0
-------------------
13y = 39
divide by 13
y =3
now take an equation and solve for x by substituting in y
2x +3y =13
2x +3(3) =13
2x+9 =13
subtract 9 from each side
2x =4
divide by 2
x=2
Answer (2,3)
Choice A
Answer:
a
Step-by-step explanation:
-3x^2=-105
Out of 50 rolls of a standard number cube, 25 rolls will result in an odd number.
Probability in mathematics is the possibility of an event in time. In simple words how many times does that incident is happening in any given time interval?
A standard number cube has 6 faces, numbered 1 through 6. Out of these, there are three odd numbers: 1, 3, and 5.
Since there are three odd numbers out of a total of six possible outcomes, the experimental probability of rolling an odd number on a standard number cube is:
Experimental probability = Number of odd outcomes / Total number of outcomes
Experimental probability = 3/6
Experimental probability = 1/2 or 0.5
This means that in the longrun, we can expect half of the rolls of a standard number cube to result in an odd number.
To predict the number of rolls that will result in an odd number out of 50 rolls, we can simply multiply the total number of rolls by the experimental probability:
Number of rolls resulting in an odd number = Total number of rolls x Experimental probability
Number of rolls resulting in an odd number = 50 x 0.5
Number of rolls resulting in an odd number = 25
Therefore, we can predict that out of 50 rolls of a standard number cube, 25 rolls will result in an odd number.
To learn more about the probability;
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Answer:
5050
Step-by-step explanation:
i know this because you do 5050
The length of the arc QR is 9.3cm
The formla for calculating the length of an arc is expressed as:
r is the radius = 10cm
Ф = 180 - 123
Substitute the values into the formula to have:
L = 10 (53*3.14/180)
L = 9.25cm
Hence the length of the arc QR is 9.3cm
Learn more on length of an arc here: brainly.com/question/2005046