Answer:
Both are correct
-1 x -1 = 1
-1 x -1 x -1 = -1
Hope this helps
Step-by-step explanation:
Answer:
3rd
Step-by-step explanation:
The picture in the attached figure
we know that
volume of the regular pyramid=(1/3)*area of the base*height
area of the base=12*12-----> 144 units²
height=71 units
substitute
volume of the regular pyramid=(1/3)*144*71-----> 3408 units³
the answer is3408 units³
Answer:
A. {60°, 120°, 420°}
B. θ = 15π/4; sec(θ) = √2
Step-by-step explanation:
<h3>A.</h3>
The sine function is periodic with period 360°, and it is symmetrical about the line θ = 90°. The reference angle for the given value of sin(θ) is ...
θ = arcsin(√3/2) = 60°
The next larger angle with the same sine is (2×90°) -60° = 120°. Any multiple of 360° added to either one of these angles will give an angle with the same sine. A possible set of 3 angles is ...
{60°, 120°, 420°}
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<h3>B.</h3>
One degree is π/180 radians, so the given angle in radians is ...
θ = 675° = 675(π/180) radians = 15π/4 radians
This angle has the same trig function values as 7π4, a 4th-quadrant angle with a reference angle of π/4, or 45° The secant of that angle is
sec(45°) = √2
The 4th-quadrant angle has the same sign, so ...
sec(675°) = sec(15π/4) = √2
Total amount of water is 14 1//2 gallons:
14 1/2 = 29/2
To find how many 11/4 gallon buckets fit in a 29/2 gallons water tank:
29/2 ÷ 11/4
which is also equal to:
29/2 × 4/11
Multiply numerators: 29 × 4 = 116
Multiply denominators: 2 × 11 = 22
Number of buckets = 116/ 22 or 5 6/22 gallons
If option is in decimal, it is: 5.2727 gallons
