Answer:
- volume: 18 ft³
- surface area: 42 ft²
Step-by-step explanation:
The volume of a cuboid is the product of its dimensions:
V = LWH = (3 ft)(3 ft)(2 ft)
V = 18 ft³
The area is the sum of the areas of the faces. Since opposite faces have the same area, we can figure the area from ...
A = 2(LW +H(L+W)) = 2((3 ft)(3 ft) +(2 ft)(3 ft +3 ft)) = 2(9 ft² +12 ft²)
A = 42 ft²
The question is missing the figure. So, it is attached below.
Answer:
DZ = 4 units
Step-by-step explanation:
Given:
CD || XZ
YC = 25 units, CX = 5 units, YD = 20 units.
We know that,
If CD is parallel to XZ
, then the line CD divides the sides XY and YZ of the triangle XYZ proportionally. This is true by triangle proportionality theorem.
Therefore, the lengths YC, CX, YD and DZ are in proportion. This gives,

Rewrite in terms of DZ. This gives,

Plug in
. Solve for DZ.

Therefore, the length of DZ is 4 units.
7) A
8) C
9) B
I’m not certain but I hope this helps you...sorry if I got it wrong!!
Answer:6.5
Step-by-step explanation:
If the diameter of the circle is 13 and the radius is half of the diameter than divide 13 by 2 and get 6.5
Answer:
Inequality (1) → y > 2x
inequality (2) → x ≥ -2
Step-by-step explanation:
If the inequality (1) is a dotted line passing through origin.
Since, shaded area is above the dotted line,
Equation of the inequality will be in the form of y > mx +b
Here m = slope of the dotted line
b = y-intercept
Since, this line is passing through the origin,
Therefore, y-intercept = 0
Slope 'm' of the line = 
= 
m = 2
Inequality (1) → y > 2x
Second inequality is represented by the shaded area on the right side of the dark vertical line, x = -2,
Therefore, inequality 2 will be → x ≥ -2