9514 1404 393
Answer:
XL = 13 cm, m∠L = 29°
AC = 21 cm, m∠C = 29°
PC = 13 cm, m∠Y = ?? (there is no angle Y in the figure)
Step-by-step explanation:
The figure on the right shows the triangles are isosceles, with XL = XN. That means also PA = PC. Those side lengths are all the same: 13 cm.
PA = PC = XL = XN = 13 cm
In the same fashion, ...
LN = AC = 21 cm
__
Of course, the angles have a similar relationship:
∠A = ∠C = ∠L = ∠N = 29°
The two base angles in the triangle add to 58°, so the third angle is ...
180° -58° = 122°
∠P =∠X = 122°
_____
<em>Additional comment</em>
As is often the case in over-specified problems, the numbers shown are not consistent The attached figures show the length LN is actually incorrect for the angle and side specified for triangle ACP, or the angles are incorrect for the side lengths specified. What this means is that the answers you get will depend on how you work the problem. Above, we have taken the given numbers and relationships at face value, even though we know they are incorrect.
Answer: 99+121
220cm^2
Step-by-step explanation:
The height of the liquid in the new cylinder is about 1.72 cm
Step-by-step explanation:
The formula of the volume of a cylinder is V = πr²h, where
- r is the radius of the base of the cylinder
- h is the height of the cylinder
∵ The volume of the liquid = 36 cm³
∵ The liquid is poured into another cylinder with radius 3 cm
∵ The radius of the base = 3 cm
- To find the height of the liquid in the new cylinder equate the rule
of the volume by 36
∵ V = πr²h
∴ π(3)²h = 36
∴ 9πh = 36
- Divide both sides by 9π
∴ h = 1.273239545
The height of the liquid in the new cylinder is about 1.72 cm
Learn more:
You can learn more about the volume in brainly.com/question/6443737
#LearnwithBrainly
Answer:
okie!
Step-by-step explanation: 0.78
The number of boxes that the truck can hold if it is already 65% full is; 49 boxes
<h3>Volume of a truck </h3>
We are given the truck dimensions as;
- Length; L = 10 ft
- Width; w = 10 ft
- Height; h = 14 ft
Formula for volume of truck is;
V = L × w × h
Thus;
V_truck = 10 × 10 × 14
V_truck = 1400 ft³
Volume of boxes is;
V_box = 2 × 2 × 2.5
V_box = 10 ft³
We are told that truck is 65% full.
Thus;
Volume left in truck = 35% × 1400
Volume left in truck = 490 ft³
Thus;
Number of boxes the truck can hold at the 65% capacity = 490/10 = 49 boxes
Read more on volume of a box at; brainly.com/question/15532376
