Answer:
98
Step-by-step explanation:
Express the numbers in terms of the product of their prime factors
14 = 2 × 7
49 = 7 × 7 = 7²
Choose the factors which occur most often between the 2 numbers
LCM = 2 × 7² = 2 × 49 = 98
The area of plate which is covered by the napkin is equal to the area of folded napkin.
Before finding the area of folded napkin, we should find the dimension of the napkin.
Find the length of the leg side, the two leg has similar length.
perimeter = 38
l + l + 8 = 38
2l + 8 = 38
2l = 30
l = 15
Each leg is 15 cm long.
Find the area of folded napkin
area = 1/2 × s × s × sin of angle between the sides
area = 1/2 × 15 × 15 × sin 30°
area = 1/2 × 15 × 15 × 1/2
area = 225/4
area = 56.25
to the nearest whole number >> 56 cm²
The answer is third option
Answer:
10 feet
Step-by-step explanation:
Given that the distance to be reached is 8 feet above ground and she she placed a ladder so that it reached the bottom of the window, the base of the ladder was 6 feet from the house, the length of the ladder considered with the other lengths forms a right angled triangle.
The length of the ladder represents the hypotenuse side hence using pythagoras theorem
F^2 = 8^2 + 6^2
where F is the length of the ladder in feet
F^2 = 64 + 36
= 100
find the root of both sides
F = 10 feet
The ladder is 10 feet long
Answer:
20 mph
Step-by-step explanation:
First problem:
The new speed is 26 mph.
The old speed was x.
The new speed is 30% higher than the old speed.
1.3x = 26
x = 20
Answer: 20 mph
Second problem:
A number, perhaps a percent or a fraction, is missing from the problem.
