A) The larger and small triangles are similar, so
8/10 = x/15
x = (8*15)/10 = 12
b)find the altitude x
tan 40 = x / 5
x = 5 tan 40 = 4.195
By Pythagoras theorem:-
y = sqrt ( 4.195^2 + 11^2)
y = 11.8 to 3 significant figures
25% is 1/4.
This means that 1/4 of the books in the library is 54, so just multiply 54 by 4, which gives you 100%, or all of the books. 54 times 4 is equal to 216, so there are 216 books in the library.
Given:
x and y are both differentiable functions of t.
To find:
The value of 
.
Solution:
We have,
...(i)
At x=-1,
Divide both sides by 3.
Taking cube root on both sides.
So, y=2 at x=-1.
Differentiate (i) with respect to t.
Putting x=-1, y=2 and 
, we get
Divide both sides by -8.
Therefore, the value of is 36.
<span>Suppose a triangle had two right angles.
The sum of all angles of any triangle is 180</span>°.
The measure of a right angle is 90°.
By difference, the measure of the other angle can be determined.
Since the two angles have a measure of 90° each, then by difference, the measure of the third angle is 180° - (90° + 90°) = 0°.
If the angle is 0°, there would only be two sides.
A triangle has three sides.
Therefore, a triangle can't have two right angles.
Answer: 16
Step-by-step explanation:
A quadratic function is a function of the form f(x) = ax2 +bx+c, where a, b, and c are constants and a = 0. The term ax2 is called the quadratic term (hence the name given to the function), the term bx is called the linear term, and the term c is called the constant term.
Therefore, the constant term in the equation is 16.
