The second one is first and the first is the second
Answer:
15) 3.2
17) 13.4
Step-by-step explanation:
To find the missing lengths, you need to use the Pythagorean theorem:
a² + b² = c²
In this form, "c" represents the length of the hypotenuse and "a" and "b" represent the lengths of the other two sides.
You are trying to find one of the side lengths (not the hypotenuse) in 15). To find the other length, you can plug the other values into the equation and simplify to find "b".
15) a = 4.1 c = 5.2
a² + b² = c² <----- Pythagreom Theorem
(4.1)² + b² = (5.2)² <----- Plug values in for "a" and "c"
16.81 + b² = 27.04 <----- Raise numbers to the power of 2
b² = 10.23 <----- Subtract 16.81 from both sides
b = 3.2 <----- Take the square root of both sides
You are trying to find the hypotenuse in 17). Since you have been given the lengths of the other sides, you can plug them into the equations and simplify to find "c".
17) a = 4.4 b = 12.7
a² + b² = c² <----- Pythagreom Theorem
(4.4)² + (12.7)² = c² <----- Plug values in for "a" and "b"
19.36 + 161.29 = c² <----- Raise numbers to the power of 2
180.65 = c² <----- Add
13.4 = c <----- Take the square root of both sides
The problem did not state if the 1cm measure is the radius or diameter.
Area of a circle = π r²
Assuming: 1 cm is the radius
Area of 1 button = 3.14 * (1cm)² = 3.14cm²
Total area = 3.14cm² * 7 buttons = 21.98 cm²
Assuming: 1cm is the diameter : radius is 1/2 = 0.50cm
Area of 1 button = 3.14 * (1/2cm)² = 3.14 * 0.25cm² = 0.785cm²
Total area = 0.785cm² * 7 buttons = 5.495cm²
Answer:
The required equation is
Step-by-step explanation:
Consider the provided information.
Let P represent the number of pages left to read after t hours.
Shryia read a 480-page-long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 pages left to read.
Total number of page Shryia read in 1.5 hours is:
480-402 = 78
It is given that the rate is constant i.e 1.5 hours,
Therefore, she read 78 pages in 1.5 hours.
She can read page per hour
The required equation is:
Where t represents the number of hours.
Answer:
1/8
Step-by-step explanation:
8x-3=-2
8x-3+3=-2+3
8x=1
divide both sides by 8
x=1/8