Answer:
The area of a rhombus is 
square units.
Step-by-step explanation:
Side length of rhombus = 6 units.
Interior angle of rhombus = 120°
another Interior angle of rhombus = 180°-120° = 60°.
Draw an altitude.
In a right angled triangle
Multiply both sides by 6.
The height of the rhombus is 
.
Area of a rhombus is
Therefore, the area of a rhombus is square units.
Answer:
SA: 456
V: 408
Step-by-step explanation:
To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!
Original dimensions of house:
30 feet wide and 45 feet long.
Dimensions on drawing:
4 inches width and 6 inches long.
Scale is: 1 inch on drawing= 30/4 = 7. 5 ft in original.
Width of bedroom= 1.2 inches
So, actual length= 1.2 x 7.5 = 9 ft
Length of bedroom= 1.6 inches
So, actual length= 1.6 x 7.5 = 12 ft
Actual measurement of Harper's bedroom is 9 ft wide and 12 ft long.
Answer: y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.
Step-by-step explanation:
