Answer:
34 feet
Step-by-step explanation:
From the question, we are told that:
If the room is 30 feet high at the center and 90 feet wide at the floor,
Entire width of the room = 90 feet = 2a
a = 90/2 = 45
Height of the room = b = 30 feet
Foci (c)² = a² - b²
c = √a² - b²
c = √45² - 30²
c = √1125
c = 33.541019662 feet
Approximately to the nearest whole number = 34 feet
Denise and Donna should each stand 34 ft from the outer wall so that they will be positioned at the foci of the ellipse
Answer:
20%
Step-by-step explanation:
First, I added them up. From the things we know, blue, red, green, yellow combined equals 16 marbles. 20-16 equals 4. So there are 4 white marbles. 4/20 times 5 equals 20/100. So the percent of the marbles that are white is 20%.
If he's studying 3/4 hours more everyday, for Friday it will be 1 + 6/8 = 1 and 3/4 hours or 1 hour and 45 minutes.
Answer:
720
Step-by-step explanation:
For the first wedge, you have 6 numbers to choose from .
For the second wedge , you have 5 numbers to choose from .
For the 3rd wedge , you have 4 numbers to choose from .
For the 4th wedge , you have 3 numbers to choose from .
For the 5th wedge , you have 2 numbers to choose from .
For the 6th wedge , you have 1 number to choose from .
Conclusion: this numbering can be done in:
6×5×4×3×2×1 = 720
Note :
Generally ,we write 6×5×4×3×2×1 as 6! and we read it 6 factorial.
1. By the Law of Sines, you have:
SinA/a=SinB/b=SinC/c
2. You don't need the fraction SinC/c, so you can eliminate it. Then:
SinA/a=SinB/b
A=40°
a=19
B=m∠b
b=13
3. When you substitute this values into SinA/a=SinB/b, you obtain:
SinA/a=SinB/b
Sin(40°)/19=SinB/13
SinB=13xSin(40°)/19
m∠b=SinB^-1(13xSin(40°)/19)
m∠b=26.1°
Therefore, the answer is: 26.1 degrees.
