Answer:
a. 28˚
b. 76˚
c. 104˚
d. 56˚
Step-by-step explanation
a. because angle between tangent and chord is equal to the angle(s) in alternate segment.
b. because angles in triangles add up to 180˚, 180-28=152 and because isosceles triangle, 152/2=76˚
c. because angles in triangles add up to 180˚ and opposite angles in a cyclic quadrilateral add up to 180˚, 31+76=107, 180-107=73, 73-28=45, angles in triangle so 180-(31+45)=104˚
d. 28*2=56˚ because angles at circumference are half angles at centre
Answer: This is what Khan Academy said the answer was
Answer:
4050 sq. feet.
Step-by-step explanation:
Fencing is done on three sides of the rectangular area.
Given that there are 180 feet of fence available.
Then 2L + W = 180 ........(1), where L = length and W = width, of the rectangular plot.
Now, the area of the plot is given by A = LW
Now, from equation (1), we ger A = L (180 - 2L) ..... (2)
Then differentiating with respect to L in the both sides we get,
{Since condition for Area to be maximum is
}
⇒ L = 45 feet.
Now, from equation (2), we have
square feet.
Answer:
Part a: The coefficient of
is 
Part b: The number of terms are 23751.
Step-by-step explanation:
part a
From the given equation the

So the coefficient of any term
is given as

Similarly for the generic equation of coefficient of the term
in the equation of form
is given as

So now the coefficient of
is given as

The coefficient of
is 
Part b:
The number of terms is given as 
where m is the number of variables which are 5 here
n is the power which is 25 so the number of variables is given as

So the number of terms are 23751.
Answer:
=Barlow by 181 boys
Step-by-step explanation:
lets calculate the no of boys in Barlow
=4/9×873=388
388 boys
in Willow school
to bet no of boys
3/3-2/3=1/3
1/3×620=207(in a calculator it will give you decimals so i rounded of to the nearest whole no.)
388-207=181