Answer:
6 : 11
Step-by-step explanation:
the ratio 6 : 11 applies to all linear measure in the similar polygons
Both side lengths and perimeter are linear, hence
ratio of both is 6 : 11
Question 5:
the circumference is given by:
C = 2 * pi * r
Where,
r: radio of the ball
Substituting values we have:
22 = 2 * pi * r
Clearing r we have:
r = 11 / pi
The surface area is given by:
A = 4 * pi * r ^ 2
Substituting values we have:
A = 4 * 3.14 * (11 / 3.14) ^ 2
A = 154 in ^ 2
Answer:
The surface area of the balloon is:
A = 154 in ^ 2
Question 8:
For this case we have that the scale factor is given by:
V1 = (k ^ 3) * V2
Substituting values we have:
729 = (k ^ 3) * 2744
Clearing k:
k = (729/2744) ^ (1/3)
k = 9/14
Answer:
the scale factor of a cube with volume 729 m ^ 3 to a cube with volume 2,744 m ^ 3 is:
9:14
Question 2:
The volume of the cylinder is given by:
V = pi * r ^ 2 * h
Where,
r : radio
h: height
Substituting values:
V = pi * (2.8) ^ 2 * (13)
V = 101.92 * pi
Answer:
The volume of the cylinder is:
V = 101.92 * pi
option 3
<span>l 18+7 l / 10 - l -16+26 l /6
= 25 / 10 - 10/6
= 5/2 - 5/3
= 15/6 - 10/6
= 5/6
answer </span><span>5/6 (3rd choice)</span>
Answer: The missing statements are,
In first blank: ∠2≅∠1
In second blank: AC≅AC
In third blank: Reflexive
Step-by-step explanation:
Since, The hypotenuse angle theorem states that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent to each other.
Here, given:
∠D and ∠B are right angles.
DC ║ AB
Prove: Δ ADC ≅ Δ CBA
Statement Reason
1.∠D and ∠B are right angles 1. Given
2. ∠2 ≅ ∠1 2. If lines are parallel then interior angles
are equal
3. AC≅AC 3. Reflexive
4.Δ ADC ≅ Δ CBA 4. Hypotenuse angle theorem
