Answer:
Step-by-step explanation:
Since ABC is an equilateral triangle, thus AB=BC=AC=x, therefore
The perimeter of ΔABC=36
⇒AB+BC+AC=36
⇒x+x+x=36
⇒3x=36
⇒x=12
Thus, AB=BC=AC=12.
Now, Since ΔADC is isosceles triangle, therefore AD=DC=y.
Perimeter of ΔADC=40
⇒AD+DC+CA=40
⇒x+y+y=40
⇒12+2y=40
⇒2y=28
⇒y=14
Therefore, AD=DC=14
Thus, Length of sides of ΔABC are AB=BC=AC=12 and Length of sides of ΔADC are AD=DC=14.
<span>Cylinder Volume = </span><span>π <span>• r² • height
height = </span></span><span>Cylinder Volume / (PI * radius^2)
</span><span>height = 500 cubic inches / 3.14159 * 16
</span><span><span><span>height = 9.9471839432
</span>
</span>
</span>
<span>height = 9.95 (rounded)
</span>
Answer:
290
Step-by-step explanation:
I ask google it says 290
The table is proportional and the constant of proportionality is 1.5
Step-by-step explanation:
Proportional relationships are relationships between two variables
where their ratios are equivalent
- One variable is always a constant value times the other
- The relation between the two variables represented graphically by a line passes through the origin point
The table:
→ x : 0 : 2 : 4 : 6
→ y : 0 : 3 : 6 : 9
To prove that y ∝ x find the ratio between each value of y with corresponding value of x
∵ 
∵ 
∵ 
∴ 
∴ k = 1.5
∵ The origin point is in the table
∴ y ∝ x
∴ The table is proportional
The table is proportional and the constant of proportionality is 1.5
Learn more:
You can learn more about proportional in brainly.com/question/10708697
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