The least common denominator of 3/8 and 1/4 is the same as the least common multiple of 4 and 8.
List the multiples.
4: 4, 8, 12, 16, ...
8: 8, 16, ...
The least common multiple of 4 and 8 is 8.
The least common denominator of 3/8 and 1/4 is 8.
Answer:
the two angles are 55° each
Step-by-step explanation:
Let the two equal angles be y each
Therefore,
70° + y + y = 180°
Collect like terms
2y = 180 — 70
2y = 110
Divide both side by the coefficient of y i.e 2
y = 110/2
y = 55°
Therefore, the two angles are 55° each
Answer:
12
Step-by-step explanation:
First, we'll find the area of the base. (To find the volume of any prism, find the area of the base, then multiply by the length/height.) It consists of a rectangle and a semicircle put together. To find the area of the semicircle, we'll just use the formula for the area of a circle, then divide by two. Area of a circle = radius² × 3.14. If the diameter of this circle is 8, then halve that to find the radius, which is 4. 4² = 16. 16 × 3.14 = 50.24. Now, 50.24/2 = 25.12. 25.12 is the area of the semicircle. Then, find the area of the rectangle. Formula for that is base × height. 6 × 8 = 48. Now add the two areas. 25.12 + 48 = 73.12.
Simply multiply that area by the length to find the volume. 73.12 × 15 = 1096.8.
The volume of the mailbox is 1,096.8 in³. (Don't forget to label!)
Hope that helped!
9514 1404 393
Answer:
Step-by-step explanation:
The sum of complementary angles is 90°.
∠ABD +∠BDC = 90°
(y -30)° +(2y)° = 90°
3y = 120 . . . . . . . . . . . . divide by °, add 30
y = 40 . . . . . . . . . . . divide by 3
∠ABD = (40 -30)° = 10°
∠BDC = 2(40)° = 80°