*FORMULA*
Qu1.

Height=10
Base=8


Qu2.
Area of a kite=half×product of digonals
Step by step solution
Summation of 1st diagonal =5+5
=10
Summation of 2nd diagonal =7+5
=12
Product of the diagonals
=10×12
=120
Area=1÷2×120
=60
Answer:
Measure of central angle is 3.665 radians
Step-by-step explanation:
In this question, we are trying to get the value of the central angle.
As we can see, the radius of the circle is 12cm while the length of the major arc is 14 pi cm.
Mathematically the length of an arc is calculated as follows;
Length of arc = theta/360 * 2 * pi * r
Plugging the values we have from the question;
14 pi = theta/360 * 2 * pi * 12
divide both sides by 2pi
7 = theta/360 * 12
360 * 7 = 12 theta
theta = (360 * 7)/12
theta = 210
Since 1 degree = pi/180 radian
it means 210 degrees = 210 * pi/180 = 3.665 radians
Answer:
480
Step-by-step explanation:
Answer:
Option C is correct, i.e. 2x² +7x -4.
Step-by-step explanation:
Given is (2x-1)(x+4)
Applying FOIL method:-
F- multiply First two, O- multiply Outer two, I- multiply Inner two, L- multiply Last two.
So, (2x-1)(x+4) = 2x*x +2x*4 -1*x -1*4
(2x-1)(x+4) = 2x² +8x -1x -4
(2x-1)(x+4) = 2x² +7x -4
Hence, option C is correct, i.e. (2x-1)(x+4) = 2x² +7x -4.
Answer:
answer in explanation
Step-by-step explanation:
1) y=4x-7
2) y=-2x
3) -4
4) -5