Answer:
perimeter of the figure =32 units
area of the figure=56 units²
Answer:
Step-by-step explanation:
Corresponding angles: ∠2=∠ 6 ; ∠1 = ∠5 ; ∠4 = ∠8; ∠3 =∠7
Vertically opposite angles: ∠1 = ∠3; ∠2 = 4; ∠5 = ∠7 ; ∠6 = ∠8
Interior angles : ∠4, ∠3 , ∠6, ∠7
alternate interior angles are equal: ∠3 = ∠5 ; ∠4 = ∠6
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Answer:
Step-by-step explanation:
<u>Answer choices:</u>
A) Asher made errors in multiplication.
- No, the products are correct
B) Asher found multiples of 10, not factors of 10.
C) Asher should have multiplied 10 × 4 as well.
- No, 4 is not one of the factors of 10
D) Asher should have gotten this as the answer: 1, 2, 5, and 10.
- Yes, these are the true factors of 10
E) Asher should have gotten this as the answer: 10, 20, 30, 40, …
- No, the correct one is one before
Answer:
108 inches^2
Step-by-step explanation:
Multiple each side by 1.5
8x1.5=12
6x1.5=9
then to find the area, multiply the sides together.
