Answer:
Height = 8 meters
Step-by-step explanation:
Given that
The volume V = 209 cubic meters Diameter = 10 meters
Radius r = 5 metres
How tall is the shed? The question is looking for the height of the cone
Using the formula for volume of a cone.
V = 1/3πr^2h
Where π = 3.14
209 = 1/3 × 3.14 × 5^2 ×h
209 = 3.14/3 × 25h
209 = 78.5h/3
h = 7.99 meters
h = 8 meters
Therefore, the shed is 8 meters tall.
Answer:
103°
Step-by-step explanation:
∠CEA and ∠DEB are vertically opposite angles same as ∠CED and ∠AEB.
Vertically opposite angles are angles that form when two lines intersect
From the figure given, lines CB and AD intersect to form vertically opposite angles mentioned above. Vertically opposite angles are equal, meaning
∠CEA=∠DEB and ∠CED=∠AEB
Replacing ∠CED=∠AEB, we get
(14x+7)°=(12x+17)°
Solve for x
(14x-12x)=17-7
2x=10
x=10÷2=5
value for x in ∠CED=∠AEB, we get (14×5)+7=77°
To calculate ∠CEA and ∠DEB
Let ∠CEA=∠DEB=y
∠DEA=180°since its a straight line therefor
(14x+7)°+y=180°
77+y=180
y=∠CEA=∠DEB=103°
<em>Answer:</em>
<em>√81 = 9 </em>
<em>Step-by-step explanation:</em>
<em>√(32+42) = √74</em>
<em>√64 < √74 < √81</em>
<em> +10 ⇔ +7</em>
<em>the nearest whole number √81 = 9 </em>
Temperature, thermal conductivity, thermal diffusivity, and thermal expansion are all different properties of heat.