Answer:
7<√56<8
(7)^2<(√56)^2<(8)^2
49<56<64
so √56 makes the inequality true
Answer:
192.5 ft²
Step-by-step explanation:
The large sector of the circle has a central angle measure of 360° -100° = 260°, so its area will be (260°/360°) of the circle, or ...
large sector area = (260/360)πr² = 13π/18·(8.35 ft)² ≈ 158.195 ft²
The area of the 100° triangle is ...
triangle area = (1/2)r²·sin(100°) = (1/2)(8.35 ft)²·sin(100°) ≈ 34.332 ft²
Then the shaded area is ...
shaded area = large sector area + triangle area
= 158.195 ft² +34.332 ft² ≈ 192.5 ft²
The shaded area is about 192.5 square feet.
Answer:
25 feet by 12 feet
Step-by-step explanation:
Width of deck = w
Length of deck = 2w + 1---------------------------- (1)
Length of railing = w + w + 2w +1
= 4w + 1---------------------------------- (2)
Length of railing = 49
Solving equation (2)
4w + 1 = 49
4 w = 49-1
4w = 48
w = 48/4
w = 12
Substituting into equation (1)
Length of deck = 2 (12) + 1
= 24+1
= 25 feet
Width of deck = 12 feet
The dimension of the deck = l x w
= 25 feet by 12 feet
NB: The railing comprises two widths of the deck , plus one length of the deck since the other length is attached to the house.
Answer:
A) 54 violin students and 6 clarinet students
B) 36 more students
Explanation:
300 students * 0.18 (which is 18%) = 54 students
300 students * 0.06 = 18 students
54-18=36
Hope this helps :)
Answer is 174.
using the given data, find the total number of students in the survey(100)
If no. of students using browser B is 58 when total is 100, what will be the number when the total is 300? (58*300/100 = 174)
