Answer:

Explanation:
The figure is a right triangle with:
- hypotenuse = segment AC
- vertical leg = 7 units
- horizontal leg = 4 units
Hence, you must use Pythagora's theorem, which is valid for all right triangles:

Substituting the data:

Square root both sides:

10/12 = 5/6 is your answer
Answer:
Surface Area: 310 square inches.
Step-by-step explanation:
There are two ways to do this:
A) Formula for Surface Area of a Rectangular Prism = 2 * ( l*w + w*h + h*l). Where l is length, w is width & h is height. Based on the question:
l = 10 inch
w = 5 inch
h = 7 inch
Surface Area = 2 * ( 10*5 + 5*7 + 7*10) = 310 square inches.
B) Formula for Area of Rectangle = l*w, where l is length & w is width.
Look at the picture, I have marked the corners O,P,Q,R,S,T,U,V,W,X,Y,Z
If we calculate the Area of each rectangle and add them all we will get the surface area automatically.
- Area of PQRS = 10*7 = 70 square inches
- Area of STUV = 7*5 = 35 square inches
- Area of VWXY = (7+5)*10 = 120 square inches
- Area of ORYZ = 7*5 = 35 square inches
- Area of RSVY = 10*5 = 50 square inches
Now add them all = 70+35+120+35+50 = 310 square inches.
Your question: Find D in | - 2d|<10
==========================================================
SOLVING....
Solve the absolute value
|−2d| < 10
=
−2d < 10
or
−2d > −10
Solve −2d < 10 for D
Divide each side by -2
-2d ÷ -2 < 10 ÷ -2
d > -5
Now Solve −2d > −10
Divide each side by -2
-2d ÷ -2 > -10 ÷ -2
d < 5
So D is d < 5 and d > -5