Answer:
<h2>∠Q corresponds with ∠Z</h2>
Step-by-step explanation:
- form a graph
- draw Δ ZNM and ΔPQR on either side of the y- axis
- You reflect ΔZMN across the y- axis
- Then you translate said triangle up the graph
- The corresponding ∠'s will match and overlap.
- m∠Q ≅ m∠Z as well as being a corresponding triangle
<h3>
Brainliest please?</h3>
Answer:
b. 144.8
Step-by-step explanation:
When calculating the moving average estimate of an observation , each of the observations are usually computed with the same weighted . In some cases, it is beneficial to assign different weight on the observations such that the observation closer to the time period being forecast, has higher weight. This is refer to as weighted moving average technique. The sum of the individual weight in a weighted moving average technique must equal to 1.
The three-period weighted moving average forecast for period 5 = 144*0.5 + 148 *0.3 + 142 *0.2 = 144.8
answers
1) 70
2) 3,840
3) 24
4) 72
<u>Explanation</u>
Q1
The surface area of a cone is given by;
S.A = 2Πrl + Πr²
Where r is the radius of the base and l is the lateral height.
Πr² = area of the base = 20 in²
2Πrl = Area of the lateral surface
= 2.5 × 20
= 50
Area of the cone = 50 + 20
= 70 in²
Q2
The sides of the Pythagorean triangle with legs of 12 and 16.
The 3rd side will be;
c = √(12² + 16²)
= √400 = 20
Volume = 12 × 16 × 20
= 3,840
Q3
The volume of a cone is given by;
volume = 1/3 Π r² h
This shows that the volume of a cone is a third the volume of the cylinder.
∴ Volume of the cylinder = 12 × 3
= 24 ft³
Q4
The volume of any regular figure is;
Volume = base area × height
When the dimensions area usually 3. Let these dimensions be x, y and z.
∴ volume = x × y × z = 9
Doubling the dimensions;
Volume = 2x × 2y × 2z = 2 × 2 × 2 × 9
= 8 × xyz = 8 × 9
= 72 ft²
Answer:
$84.14
Step-by-step explanation:
Begin by multiplying 1.035 by 4.
Get 4.14.
Add this to the original amount deposited, $80.
The answer is $84.14
