This is a working backwards problem. You know he has $35 at the end. Before he gave his brother $5, he would have $40, which is half of what he had before he bought the clothes, so he would have had $80. Before he spent the $40 on shoes, he would have had $120, so the answer is $120.
Given a fragpole which makes a right angle with the point of observation with the angle of elevation as 50°.
Let x be the height of the flagpole, then

Therefore, the <span>equation that could be used to find the height of the flagpole is
</span><span>x/5 = sin 50</span>
The answer is 45.65
45 + 6.5 = 45.065
45 divided by 6.5 over a hundred = 45 + 0.065
Thats how you get 45.65
Answer:
a) 0.1535
b) 0.4866
c) 0.8111
Step-by-step explanation:
The probability that the next call come within the next t minutes is:
According to this model,
a) the probability that a call in comes within 1/2 minutes is
=0.1535
b) the probability that a call in comes within 2 minutes is
=0.4866
c) the probability that a call in comes within 5 minutes is
=0.8111
Answer:
Since pair of opposite sides are parallel and adjacent sides meets at right angles, the quadrilateral COAT is a rectangle.
Step-by-step explanation:
The vertices of the given quadrilateral is 
It is sufficient to show that pair of opposite sides are parallel and adjacent sides are perpendicular.
The slope of each side can be found using the formula;

Slope of CO,

A line with a zero slope is a horizontal line.
The slope of OA,

This slope is undefined.
A line with an undefined slope is a vertical line.
This shows that,the side CO and OA of the quadrilateral meets at right angle.
The slope of AT,

This is also a horizontal line.
The slope of TC,

This also a vertical line.
This implies that, side TC and side AT meets at Tat right angles and TC is parallel to OA.
Also AT is parallel to TO.
This shows that COAT is a rectangle.