Answer:
X = 5.9 (in degree mode)
Step-by-step explanation:
Do the following:
12(tan26) = X
Plugging this into a calculator, you will get:
X = 5.9 (in degree mode)
Answer:
1620
Step-by-step explanation:
The amount of even integers between 10 and 80 inclusive is 36 (5 for each interval of 10 [e.g., 10-19 has 5, 20-29 has 5] and one extra for 80).
Since the numbers are consecutive even numbers, we can use the fact that the sum of the numbers is equal to the average of the numbers, times the number of numbers.
The average of the numbers is 45, since 
. We can use only the two outer numbers to determine the average since the numbers are all evenly spaced as they are consecutive even numbers.
, so the sum is 1620.
Answer:
49% of the pupils are boys and 51% are girls.
Step-by-step explanation:
Alright, so first, you've got to find the total number of students: 567.
Now, to find the value of 1%, you divide 567 by 100, which will give you 5.67.
Next, you divide the number of male students by the value of 1%. That's 278 ÷ 5.67 = 49.0299823633157.
Subtracting that from 100% gives you 50.9700176366843 (percentage of girls)
Now, you can't write all that down, so you'll round it! 49.0299823633157 will round down, because 0 is less than 5, so it's 49%. 50.9700176366843 rounds up, because 9 is greater than 5, so that's 51%.
Therefore, 49% of the pupils are boys and 51% are girls.
I hope this helps!
One of the angle of the triangle is 90 degrees which means it is a right angled triangle. Two angles are same i.e 45 degrees which means the angle is an isosceles triangle.
so, x = 17 (isosceles triangle)
then use pythagoreas theorem:
and x = 17, so simplify and
so
