180 degrees in a triangle. so 180-90-31=59
Half Tens is a way of multiplying where we have to find the value of given numbers. First we double any 'one' of the two given numbers and multiply both to get an answer. Then we divide that answer by '2' to get the answer.
Lets take two numbers as 16 and 340
Double the number 16
Now we will divide this by 2
So, if we check , it is 5440.
Similarly if we double the number 340, we get 680
Now, 
And 10880/2 = 5440
Hence, in both ways the answer is 5440.
Answer:
<u>The present age of the mother is 30 years old</u>
Step-by-step explanation:
Age of Jane = x
Age of Billy = 5x (Billy is five times as old as Jane)
Age of Sara = 15x (Their mother is now three times as old as Billy)
In 2 years Sara will be eight times as old as Jane, therefore:
15x + 2 = 8 (x + 2)
15x + 2 = 8x + 16
15x - 8x = 16 - 2
7x = 14
x = 14/7
x = 2 ⇒ 5x = 10x ⇒ 15x = 30
Jane's present age is 2, Billy's present age is 10 and Sara's present age is 30
<u>The present age of the mother is 30 years old</u>
The value of the 24th term is 16.
<h3>Arithmetic progression:</h3>
where
a = first term
d = common difference
n = number of terms
Therefore,
6 = a + 3d
8 = a + 7d
let's find a and d
2 = 4d
d = 2 / 4
d = 1 / 2
6 = a + 3 / 2
a = 6 - 3 /2
a = 4.5
Therefore, the 24th term can be found as follows;
24th term = 4.5 + 23(0.5)
24th term = 4.5 + 11.5
24th term = 16
learn more on arithmetic progression here; brainly.com/question/9882454
Answer:
The angle between the ramp and the horizontal is 11.54 degrees
Step-by-step explanation:
Here, we want to get the angle between the ramp and the horizontal
What we have to do here is to bring the measure of 2 m near to the edge leftwards, so we can have a right triangle
Now, the angle we want to calculate is the angle that faces the measure 2 m
The given measure of 10 m will represent the hypotenuse of the right triangle
The trigonometric ratio that links the hypotenuse and the opposite is the sine
The sine is the ratio of the opposite to the hypotenuse
Thus, we have it that;
sin theta = opp/hyp
sin theta = 2/10
sin theta = 0.2
theta = sin^-1 0.2
theta = 11.54
