Answer:
PR = 180 cm
Step-by-step explanation:
Given PQ : QR = 7 : 3 = 7x : 3x ( x is a multiplier )
PQ - QR = 72, substitute values
7x - 3x = 72
4x = 72 ( divide both sides by 4 )
x = 18
Thus
PR = PQ + QR = 7x + 3x = 10x = 10 × 18 = 180 cm
Answer:
- B - tan A = 4/3, sin B = 3/5
Step-by-step explanation:
<u>First, lets find the length of the third side</u>
- b = √15² - 12² = √225 - 144 = √81 = 9
<u>Now, lets get Tan A and Sin B</u>
- Tan A = 12/9 = 4/3
- Sin B = 9/15= 3/5
Correct option is B
Answer:
follow the statement below
Step-by-step explanation:
The question you presented here has multiple (un-limited) solutions unless you have another condition to solve for a single solution.
Equation: y = ax² + bx + c
y intercept (0 , 3): c = 3
axis of symmetry x=-5, therefore a corresponding point (-10,3) on the curve
3 = a*(-10)² + b*(-10) + 3
100a - 10b = 0
b = 10a .... any pair like a=0.5 b=5; a=1 b=10 0r a=2 b=20 ..... all fit the function
y = 0.5x² + 5x +3
y = x² + 10x + 3
y = 2x² + 20x +3
........................
1)To construct a line parallel to line l and passing through point P our first step is to join the point and line and then draw angles in such a way so that corresponding angles are equal.
Option B is the correct construction of a line parallel to line l and passing through point P.
2) To Construct the perpendicular line to line DE at point F we cut an arc from point F to line DE in such a way it cuts line DE at two points .From these two points we draw arcs which cut each other .
Option C is the correct option to Construct the perpendicular line to line DE at point F.
3) To Construct a perpendicular from the given line segment that passes through the given point we cut two arcs on top and bottom of line segment.
Option B is the right answer.
Answer:
The value of
is 
Step-by-step explanation:
We want to evaluate
.
The base of this logarithm is
and the number is
.
We need to express the number
as the base
raised to a certain index.
This implies that,
Recall now that,
.
We apply this property to obtain,
Recall again that,
.This implies that,
The correct answer is C.