Answer: 64
Step-by-step explanation:
By definition, a perfect square is the square of a whole number.
The information given in the problem that you must keep on mind is:
- The number has two digits.
- The number is a perfect square ( Is obtained by squaring a whole number).
- The sum of its two digits is 10.
The number 64 is formed by the digit 6 and the digit 4. The sum of both digits is:
The number 64 can be written as:
Then, it is perfect square.
Ratio of their volumes = a³ : b³
Ratio of their surface areas =
<u>Step-by-step explanation:</u>
Two square pyramids are similar with their edges are in the ratio of a : b.
Volume of a square pyramid with edge and h = a is given by the formula,
= =
Volume of a square pyramid with edge b and h = b is given by the formula,
= =
Ratio of their volumes = a³ : b³ since h/3 gets cancelled.
Total surface area of square pyramid with the edge a =
Total surface area of square pyramid with the edge b =
Ratio of the surface area =
Answer:
34 degrees
Step-by-step explanation:
Assuming that ADJ is a right angle, we can add 4x and 3x-8 and set equal to 90 degrees to simply to get get x.
7x-8=90
Add 8
7x = 98
x= 14
Now that we know x, we can plug in the value to find angle CDJ.
3x-8
3(14)-8
34 degrees
Answer:
So on this case the only option that satisfy the calculated statistic is:
z=-0.42
Step-by-step explanation:
Assuming this complete problem: "In a 2-sample z-test for two proportions, you find the following:
^P1 = 0.32, (n,1)=50
^P,2= 0.36, (n,2)=50
Find the test statistic you will use while executing this test:
z=-0.67
, z=±1.64
, z=-1.96
, z=0.34
, z=-0.42"
Solution to the problem
Data given and notation
sample 1 selected
sample 2 selected
represent the sample proportion for 1
represent the sample proportion for 2
z would represent the statistic (variable of interest)
represent the value for the test (variable of interest)
We need to apply a z test to compare proportions, and the statistic is given by:
(1)
Or equivalently:
(1)
Where
Calculate the statistic
Replacing in formula (1) the values obtained we got this:
So on this case the only option that satisfy the calculated statistic is:
z=-0.42
Area of the square:
s* s
Area of the triangle:
0.5*s*l
You have one square plus 4 triangles
1(s*s) + 4(0.5*s*l) = s^2 + 2sl
Your answer will be C