Answer:
π
Step-by-step explanation:
recall that for a cotangent function
f(x) = cot (bx) + k
the period is simply π / | b |
in our case b = 1, hence | b | = 1
therefore the period is simply π / 1 = π
Answer:
12
Step-by-step explanation:
First fraction:
Numerator:
(17/40 + 0.6 - 0.005) = 1.02
1⅕ = 1.2
(1.2 ÷ 1.02)×1.7 = 2
Denominator:
5/6 + 4/3 - 53/30
Lcm: 30
(5×5 + 4×10 - 53)/30
12/30 = 0.4
Fraction value: 2/0.4 = 5
Second fraction:
4.75 + 7.5 = 12.25
33 ÷ 33/7
33 × 7/33 = 7
12.25/7 = 1.75
1.75 ÷ 0.25 = 7
Final answer:
5 + 7 = 12
Answer:
Volume of room will be left after Michael stores the boxes 426 feet cube
Step-by-step explanation:
It is given that
Michael is putting 12 boxes in a storage shed.
Each box is in the shape of a rectangular prism with dimensions 1.5 feet by 1.5 feet by 2 feet.
If the storage shed has dimensions 6 feet by 10 feet by 8 feet,
<u>To find the volume of one box
</u>
Volume = 1.5 x 1.5 x 2= 4.5 feet cube
Volume of 12 such box = 4.5 x 12 =54 feet cube
<u>To find the volume of shed
</u>
Volume of Shed = 6 x 10 x 8 =480
<u>
To find remaining portion of shed</u>
Volume of room will be left after Michael stores the boxes =volume of shed - volume of box
=480 - 54 = 426 feet cube
Answer:
EBCG
Step-by-step explanation:
1) 50 - 87 = 23
2) 12 - 24= 288
3) 38.25 + 11.75= 50
4) 7 divided by 168= 24
Answer:
B. Given quadrilateral ABCD, BC⎯⎯⎯⎯⎯⎯⎯⎯ and AD⎯⎯⎯⎯⎯⎯⎯⎯ are adjacent
Step-by-step explanation:
A. A square has 4 congruent sides and 4 congruent angles, so it is a regular polygon. True.
B. Draw the quadrilateral and label the vertices in the order shown. Given quadrilateral ABCD, BC and AD are opposite sides, not adjacent sides. False.
C. All angles of a rectangle are right angles that measure 90 degrees. True.
D. True by a theorem.
