Question 1:Use the Pythagorean theorem.
If
, then the angle is acute.
If
, then the angle is right.
If
, then the angle is obtuse.
Thus, the angle is acute.
Question 2:Take the square root of the area to get the side length.
That's the side length. Since we have a 45-45-90 right triangle if we divide the square across its diagonal, we just multiply the side length by the square root of 2 in order to get the diagonal length.
Your answer is 20 m. Hope this helps! :)
Answer:
$4375
Step-by-step explanation:
Add up all the sides to get the perimeter:
240 + 285 + 450 + 450 + 450 = 1875 ft
Convert ft into yards:
3 ft = 1 yard
1875 ft = 625 yards
________________________________
(625 yards)($27) = $4375
Answer: the anser is
Step-by-step explanation:
9/24= 0.375 0.375x40=15
w=15 liters
Answer:
The numbers are -14,-13 and -12
Step-by-step explanation:
<u><em>The correct question is </em></u>
Find three consecutive integers such that the sum of the first, twice the second and three times the third is -76. What is the number?
Let
x ----> the first consecutive integer
x+1 ---> the second consecutive integer
x+2 ---> the third consecutive integer
we have that
solve for x
apply distributive property
Combine like terms
subtract 8 both sides
Divide by 6 both sides
so
therefore
The numbers are -14,-13 and -12
Answer:
Mean value is 0 and standard deviation is 1 after all test scores have been standardized by converting them to z-scores using z
Step-by-step explanation:
In a standard normal distribution (also called as <em>Gaussian distribution</em>) all values of the sample can be projected to a normal distribution with mean 0 and standard deviation 1 using their z-scores.
z-score of a value X can be calculated as follows:
z=
where
- 50 is the <em>mean of the test scores</em>
- 6 is the <em>standard deviation of test scores</em>
