Answer:
The other side = 13 feets long
Step-by-step explanation:
Given that :
Scale of drawing : 2 inches represents 5 feets
Area of rectangular room according to scale drawing = 24.96 in²
Length of one side of the room = 12 feets
Length of other side = x
Area of rectangle = Length * width
If :
2 inches = 5 feets
x = 12 feets
x = (12 *2) / 5
x = 4.8 inches
Hence,
For the scaled drawing :
4.8 * width = 24.96
Width = 24.96 / 4.8
Width = 5.2 inches
Converting to feets according to scale:
2 inches = 5 feets
5.2 inches = x feets
x = (5.2 * 5 ) / 2
x = 13 feets
Other side is 13 feets long
<span>16.1428571 = mean
3.563 = standard deviation
</span>
The moment of inertia of a spherical shell is I = mr²
If two spheres have the same moment of inertia, then
I₁ = I₂
m₁(r₁)² = m₂(r₂)²
Solve for the second mass:
m₂ = m₁ (r₁/r₂)²
Given m₁ = 1 kg, r₁ = 2 m, r₂ = 1m,
m₂ = (1 kg) (2 m / 1 m)² = 4 kg
So h is 3x
b is x
3x plus x equal 972
4x = 972
243 is base
243 times 3 is 729
Answer:
m∠CEB is 55°
Step-by-step explanation:
Since ∠ADE = 55°, and ∠ADE is half of ∠ADC because ED bisects ∠ADC. Bisect means to cut in half.
∠ADC = 110° because it is double of ∠ADE.
Since AB║CD and AD║BC, the two sets of parallel lines means this shape is a parallelogram. In parallelograms, <u>opposite angles have equal measures</u>.
∠ADC = ∠CBE = 110°
All quadrilaterals have a sum of angles 360°. Since ∠DCB = ∠BAD and we know two of these other angles are each 110°:
360° - 2(110°) = 2(∠DCB)
∠DCB = 140°/2
∠DCB = ∠BAD = 70°
∠DCB was bisected by EC, which makes each divided part half.
∠DCE = ∠BCE = (1/2)(∠DCB)
∠DCE = ∠BCE = (1/2)(70°)
∠DCE = ∠BCE = 35°
All triangles' angles sum to 180°.
In ΔBCE, ∠BCE = 35° and ∠CBE = 110°.
∠CEB = 180° - (∠BCE + ∠CBE)
∠CEB = 180° - (35° + 110°)
∠CEB = 55°
Therefore m∠CEB is 55°.