Answer:
see below
Step-by-step explanation:
We need to find the diameter of the square
We can find this using the Pythagorean theorem
a^2+b^2 = c^2 where the legs are 7 and 7 and the diameter is c
7^2 +7^2 = c^2
49+49 = c^2
98 = c^2
Taking the square root of each side
sqrt(98) = sqrt(c^2)
9.899494937 = c
Since 9.9 is less than 11 which is the diameter of the circle it will never touch the circle.
Since the longest part of the square is less than the diameter of the circle, the square will fit inside the circle without touching
Answer:
500
Step-by-step explanation:
Hope this helps.
Use dimensional analysis:

Since we multiplied a numerator and a denominator by centimeters, we are only left with meters.
This answer is already is three significant figures by default.
Answer:
2100 miles.
Step-by-step explanation:
Given:
Diameter to the moon = 240000 miles
∅ = 0.5 °
The subtended angle by an arc is given as:
S = r∅
Where
r = radius of the circle
Therefore,
D = 240,000 x (0.5 x π rads)/180
= 2094 miles
= 2100 miles.
Answer:
150, 200, 300
Step-by-step explanation:
sum the parts of the ratio , 3 + 4 + 6 = 13 parts
divide the total by 13 to find the value of one part of the ratio
650 ÷ 13 = 50 ← value of 1 part of the ratio , then
3 parts = 3 × 50 = 150 ← number of sweets Cia gets
4 parts = 4 × 50 = 200 ← number of sweets Mia gets
6 parts = 6 × 50 = 300 ← number of sweets Tia gets