Answer:
The perimeter of the isosceles right triangle is 68.28 cm.
Step-by-step explanation:
Given;
area of the isosceles right triangle, A = 200 cm²
let the two equal sides of the triangle = base (b) and height (h)
Area of the isosceles right triangle is calculated as;
let the hypotenuse side of the isosceles right triangle = c
c² = b² + h²
c² = 20² + 20²
c² = 800
c = √800
c = 28.28 cm
The perimeter of the isosceles right triangle is calculated as;
P = b + h + c
P = 20 cm + 20 cm + 28.28 cm
P = 68.28 cm
Therefore, the perimeter of the isosceles right triangle is 68.28 cm.
Answer:
(c) H0 should be rejected
Step-by-step explanation:
Null hypothesis (H0): population mean is equal to 5
Alternate hypothesis (Ha): population mean is greater than 5
Z = (sample mean - population mean) ÷ (sd/√n)
sample mean = 5.3, population mean = 5, sd = 1, n = 500
Z = (5.3 - 5) ÷ (1/√500) = 0.3 ÷ 0.045 = 6.67
Using the normal distribution table, for a one tailed test at 0.01 significance level, the critical value is 2.326
Conclusion:
Since 6.67 is greater than 2.326, reject the null hypothesis (H0)
Answer:
d on edge
Step-by-step explanation:
its just the table flipped
Answer:
80%
Step-by-step explanation:
Focus on the important parts of the problem:
The present salary is 25% more than the previous salary.
previous = % of present ?
<u>Use a mock/fake situation.</u> Let' say the previous salary is $100.
100 = % of present
Present salary is $100 increased by 25%.
$100 X 1.25 = $125
100 = % of 125
Solve this in decimal form (convert it to a percentage later).
Let x be the percentage in decimal form.
100 = 125x
100/125 = x Isolate "x" by dividing by sides by 125
x = 0.80
Convert 0.80 to percentage by multiplying by 100.
0.80 X 100 = 80%
When comparing two things using percentage, 100% is the same. Less than 100% is less and more than 100% is more.
Since his previous salary was less than his present salary, this answer makes sense.
Therefore his previous salary was 80% of his present salary.
This could be wrong because I'm going into the fifth grade but wouldn't it just be (7,-3)?