Answer:
√53 lies between 7.2 and 7.3
Step-by-step explanation:
To estimate the √53 between two numbers to the tenths place, the steps include
1.) Identify perfect squares that bound the number 53: 7² = 49 and 8² = 64
2.) Estimate between two whole numbers: between 7 and 8
3.) Determine the closer whole number: the root is closer to 7 because 53 is closer to 49 than to 64.
4.) Find the squares of tenths:
7.1²= 50.41
7.2²= 51.84
7.3²= 53.29
7.4²= 54.76
Hence, it is evident that √53 lies between 7.2 and 7.3
It is also clear that the required square root is closer to 7.3 than 7.2 though.
Hope this Helps!!!
Answer:
The equation of the parallel line would be y = -1/2x + 1
Step-by-step explanation:
To start we need to find the slope of the original line. We can do that by solving for y.
x + 2y = -4
2y = -x - 4
y = -1/2x - 2
Since the slope of the original line is -1/2 and parallel lines have the same slope, we know the new line will also have -1/2 slope. Now we can use that along with the point given in point-slope form to get the find equation.
y - y1 = m(x - x1)
y - 5 = -1/2(x + 8)
y - 5 = -1/2x - 4
y = -1/2x + 1
16a^4b^4 + 32a^3b^5 - 48a^2b^6
the GCF would be : 16a^2b^4....because the 16 is the highest coefficient that goes into 16,32,and 48. Then u just take the a with the smallest exponent and the b with the smallest exponent.
Answer:
7.74 cm^2
Step-by-step explanation:
The length of the side of the square is 3+3 = 6
The area of the square is
A =s^2 = 6^2 = 36
The area of the circle is
A = pi r^2 where the radius is 3
(3.14) 3^2 =28.26
Subtract the area of the circle from the area of the square to get the shaded area
36-28.26 = 7.74 cm^2
There you go and sorry if it’s not that clear:
