Answer:
3.5 Hours
Step-by-step explanation:
Cartoon 1/2 hour or 30 minutes
Movie = 6 x 30 minutes = 180 minutes or
3 hours
1/2 x 6 = 3
Cartoon + Movie = 3 and a half hours
30 minutes + 180 minutes = 210 minutes or
3.5 hours
Here, trapezoid is composed of two triangles, and one rectangle.
So, Area of rectangle = 4 * 7 = 28 cm²
Area of a triangle = 1/2 * 3 * 7 = 21/2 = 10.5 cm²
Area of Trapezoid = area of rectangle + 2(area of triangle)
= 28 + 2(10.5)
= 28 + 21 = 49
In short, Your Answer would be 49 cm²
Hope this helps!
Step-by-step explanation:
LK=4/3
LM=-3/5
b) LK=5
LM=√34
The angles surrounding the point p are 90 degrees
Then using the angle given, find the missing angles.
JPH = 90
HJP = 49
90+49 = 139
180 - 139 = 41
Therefore JHP = 41
HLP = HJP = 49
HLP = 49
KLP = 72
KLP + HLP = 72 + 49 = 121
Therefore, HLK = 121
LP = JP = 16
JP = 16
HL = HJ = 13
HL = 13
Hope this helps! =)
Answer:
see explanation
Step-by-step explanation:
The vertex form of f(x) is
f(x) = (x - h)² + k
where (h, k) are the coordinates of the vertex
To obtain this form use the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 14x
f(x) = x² + 2(7)x + 49 - 49 + 36
= (x + 7)² - 13
The minimum value of f(x) is the y- coordinate of the vertex
vertex = (- 7, - 13), that is minimum value = - 13