4a=20⇒a=5
we know diagonals are perpendicular. if u look at one of the right triangles, you can see that for hypotenuse to be 5, the legs have to be 4 and 3 to satisfy the given ratio 4:3.
so, diagonals are 8 and 6 as we know that diagonals bisect each other.
Area=8*6/2=24
Answer:
52 miles/week (12 more miles per week)
Step-by-step explanation:
In order to know the miles per week with this increasement, we'll use the rule of 3, assuming that 40 miles is the 100% innitially so:
If:
40 miles --------->100%
X miles ----------> 30%
Solving for X we have the following:
X = 30 * 40 / 100 = 12 miles
So, if Adam wants to increase his weekly mileage by 30%, he needs to run 12 more miles, and that makes a total of 52 miles/week
Answer:
Area = 20.28 cm^2
Perimeter = 16.28 cm
Step-by-step explanation:
The figure is composed of a half circle and a rectangle,
The circle has a diameter of 7 - 2 - 1 = 4cm and the rectangle is of side 2 cm and 7 cm.
Therefore the area is :
Area = A rectangle + Acircle/2 = 2*7 + pi*r^2/2 = 20.28 cm^2
The perimeter is :
Perimiter = 1 + 2 + 7 + Pcircle/2 = 1 + 2 + 7 + 2*pi*r/2 = 16.28 cm
Answer:
54 passes
Step-by-step explanation:
90 x 0.6 = 54
Substitute this into the parabolic equation,
We're told the line 
intersects 
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know
We can tell from the quadratic equation that has its vertex at the point (3, 6). Also, note that
and
so the furthest to the right that extends is the point (5, 2). The line passes through this point for 
. For any value of 
, the line passes through either only once, or not at all.
So 
; in set notation,
