To write
as a terminating decimal we will turn this fraction to a decimal. To do this we will divide the numerator by the deliminator and the result will be the decimal.Then we will check if it is a terminating decimal or repeating decimal. Lets do it:-
78 ÷ 25 = 3.12
3.12 is a terminating decimal. So,
as a terminating decimal is
3.12.Hope I helped ya!!
Answer:
5units
Step-by-step explanation:
Given the two vertices of a rectangle at (3,2) and (8,2). We are to calculate the distance between the two points.
Using the formula
D = √(x2-x1)²+(y2-y1)²
D = √(2-2)²+(8-3)²
D = √0+5²
D = √25
D = 5
Hence the length of the side of the rectangle is 5units
Answer:
1/sqrt10
Step-by-step explanation:
1) Find out cosA using formula (cosA)^2+(sinA)^2=1
The module of cosA= sqrt (1- (-3/5)^2)= sqrt 16/25=4/5
So cosA=-4/5 or cosA=4/5.
Due to the condition 270degrees< A<360 degrees, 0<cosA<1 that's why cosA=4/5.
2) Find sinA/2 using a formula cosA= 1-2sinA/2*sinA/2 where cosA=4/5.
(sinA/2)^2= 0.1
sinA= sqrt 0.1= 1/ sqrt10 or sinA= - sqrt 0.1= -1/sqrt10
But 270°< A< 360°, then 270/2°<A/2<360/2°
135°<A/2<180°, so sinA/2 must be positive and the only correct answer is
sin A/2= 1/sqrt10
Your answer is going to be f
Answer:
The number of cars passing or the people arriving during lunch hour will be around 220
Step-by-step explanation:
First we find the for ten minutes period from given data:
Average Cars in 10 minutes = (18+38+87+16+56+5)/6
Average Cars minutes = 36.67
Now, for average cars in 1 hr, we must multiply this value by 6. As, 10 minutes multiplied by 6 equals 1 hr.
Average cars in an hour = 36.67*6
<u>Average Cars in an hour = 220</u>
Hence, the number of cars or people arriving during lunch hour will also be equal to average number of cars arriving during an hour.
