Answer:
a) d = 36 ft. ( using Pithagoras´theorem )
b) d = 36 ft ( Using ( function sin ) trigonometry
Step-by-step explanation:
a) Using Pythagoras´Theorem:
Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.
d² = a² + b²
In this particular case a = b = 25 feet then
d² = (25)² + ( 25)²
d = √ 2 * (25)²
d = √2 * 25
d = 1,414*25
d = 35,35
d = 36 ft.
b) Using trigonometry:
We know that sin 45° = cos 45° = √2 / 2
In a right triangle
sin α = opposite side / hypothenuse (d)
sin 45° = √2 / 2 = 25/ d
√2 *d = 2* 25
d = 50/√2
d = 50 / 1,414
d = 35,36
d = 36 ft
Answer:
10*-3= -30
Step-by-step explanation:
10*-3= 5*-8
The median is a halfway point in the set of data.
List the numbers in order from smallest to largest:
111, 129, 144, 149, 152, 162, 166, 171
Because there are an even number of values in the data set, find the two middle numbers, add them together and then divide by 2:
Median = ( 149 + 152 ) /2
Median = 150.5
Answer:
(7x+6y) is a binomial factor of the given expression 
Therefore 
Step-by-step explanation:
Given expression is
To find the binomial factor :
Rewritting the above expression as
( using the formula 
here a=7x and y=6y )
( using the formula 
)
Therefore
(7x+6y) is a binomial factor of the given expression
Complete question :
A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 52%.
a. Write the markdown as a decimal. b. Write an expression for the sale price of the hardcover book.
Answer:
0.52 ; 0.52b
Step-by-step explanation:
The markdown percentage = 52%
Expresaing markdown as a decimal :
52% = 52 / 100 = 0.52
Expression for the sale price of hardcover book:
Original price = b
Price was marked down by 0.52
Hence, sales price becomes ;
Original price * markdown
b * 0.52
0.52b
