Answer:
A = 3 ft, B = 7 ft, C = 4 ft, D = 5 ft, Surface Area = 96 ft^2
Step-by-step explanation:
<u>Step 1: Determine the sides</u>
A → 3 ft
B → 7 ft
C → 4 ft
D → 5 ft
<u>Step 2: Determine the surface area</u>
Area of the sides
Area of the top and bottom triangles
Total Area
Answer: A = 3 ft, B = 7 ft, C = 4 ft, D = 5 ft, Surface Area = 96 ft^2
Answer:
26
Step-by-step explanation:
The sum of angles in a triangle is 180 degrees, use this and set up an equation;
x + ( 4x -5 ) + 55 = 180
Simplify
x + ( 4x - 5 ) + 55 = 180
5x + 50 = 180
Inverse operations;
5x + 50 = 180
-50 - 50
5x = 130
/5 /5
x = 26
5 5/16 is greater.
You can find that out by dividing 5/16 and 7/24
So that gives .31 and .29
Thus, 5 5/16 are greater
Answer:
The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)
Step-by-step explanation:
Focus: F=(3,1)=(xf, yf)→xf=3, yf=1
Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:
f(x)=[1 / (4p)] (x-h)^2+k
where Vertex: V=(h,k)
The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:
Vertex is the midpoint between (3,5) and (3,1):
h=(3+3)/2→h=6/2→h=3
k=(5+1)/2→k=6/2→k=3
Vertex: V=(h,k)→V=(3,3)
p=yf-k→p=1-3→p=-2
Replacing the values in the equation:
f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3
f(x)=[ 1 / (-8) ] (x-3)^2 + 3
f(x)= - (1/8) (x-3)^2 + 3
Answer:
3,520 yds in 2 hours
Step-by-step explanation:
5,280:1 ; 1 mile an hour is 5,280 feet in an hour
10,560:2 ; 2 miles in 2 hours is 5,280+5,280 (10,560) feet in 2 hours
3 ft = 1 yd ; every 3 feet is a yard, so divide 10,560 by 3
10,560/3 = 3520 yds ; Jorge can walk 3,520 yds in 2 hours
