9514 1404 393
Answer:
7.5 square units
Step-by-step explanation:
The formula for the area of a trapezoid is ...
A = 1/2(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them.
Here, the bases are TR = 1 and PA = 4. The height is 3 units, so the area is ...
A = (1/2)(1 +4)(3) = 15/2 = 7.5 . . . . square units
1) 7^3 x 7^4 = 7^(3+4) = 7^7
2) (-6)^12 x (-6)^5 x (-6)^2 = (-6)^(12+5+2) = (-6)^19
3) 2^2 x 2^7 x 2^ 0 = 2^(2+7+0) = 2^9
Answer:
2 units
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangle are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.
Since point D and E are midpoints of the sides of triangle ABC, hence:
AD = BD = 3t, BE = CE = 4t, AC = 7t + 6
The perimeter of triangle ABC = AC + BC + AB = AC + AD + BD + BE + CE;
Substituting:
48 = 7t + 6 + 3t + 3t + 4t + 4t = 21t + 6
48 = 21t + 6
21t = 42
t = 2 units
Considering the ballon to be spherical
It's volume is given by 4/3(π r^3) by differentiating volume with respect to time we get rate of change of volume hence,
4πr^2(dr/dt)=600÷60=10
Substituting r=30cm
4π(30)*(30)(dr/dt)=10
dr/dt=rate of increase in bullion's radius=1/(360π)cm/s
Answer:
y=-3
Step-by-step explanation:
16/2=8
-6/2=-3
