Answer:
50.80 cm^3
Step-by-step explanation:
the polyhedron is a rectangular pyramid
Volume of a rectangular pyramid = 1/3 x ( width x height x length)
1/3 ( 4 x 5 x 3) = 20 inches
we need to convert inches to cm
1 in = 2.54 cm
20 x 2.54 = 50.80 cm^3
Answer:
The mean is 0.26
The standard deviation is 0.5765
Step-by-step explanation:
An image showing the step by step solution is attached.
Answer:
Alexander is incorrect because the expressions are not equivalent.
Step-by-step explanation:
If the expression is evaluated for any value of x, y; the result will not be same.
For instance, let assume x = 1 and y = 2
3x + 4y = 3 + 4 = 7
(3)(4) + xy = (3)(4) + (1 * 2) = 12 + 2 = 14
So, the expressions are not the same and Alexander is incorrect.
Given:
m∠B = 44°
Let's find the following measures:
m∠A, m∠BCD, m∠CDE
We have:
• m∠A:
Angle A and Angle B are interior angles on same side of a transversal.
The interior angles are supplementary.
Supplementary angles sum up to 180 degrees
Therefore, we have:
m∠A + m∠B = 180
m∠A + 44 = 180
Subtract 44 from both sides:
m∠A + 44 - 44 = 180 - 44
m∠A = 136°
• m,∠,BCD:
m∠BCD = m∠A
Thus, we have:
m∠BCD = 136°
• m∠CDE:
Angle C and angle CDE form a linear pair.
Linear pair of angles are supplementary and supplementary angle sum up to 180 degrees.
Thus, we have:
m∠D = m∠B
m∠D = 44°
m∠CDE + m∠D = 180
m∠CDE + 44 = 180
Subract 44 from both sides:
m∠CDE + 44 - 44 = 180 - 44
m∠CDE = 136°
ANSWER:
• m∠A = 136°
,
•
,
• m∠BCD = 136°
,
•
,
• m∠CDE = 136°
Answer:
A
Step-by-step explanation:
multiply $17.95 by 40% to get the discount ($17.95 x .4), which equals $7.18.
the sale price is the initial price of the book less the discount ($17.95-$7.18), which equals $10.77.
