Answer:
22.5 cm
Step-by-step explanation:
An equilateral triangle has 3 equal sides
perimeter is the sum of all 3 sides, hence
perimeter = 3 × 7.5 = 22.5 cm
It will be 90 feet considering the water triangle as shown as the figure
Answer:
Cost of shoes = $37.4925
Cost of jacket = $92.4533
Tax = $9.81
Total paid = $144.2458
Step-by-step explanation:
Normal price of shoes = $49.99
Discount = 25%
Discounted price:
Normal price of jacket = $137.99
Discount = 33%
Discounted price:
Price of pack of cookies = $4.49
No discount on cookies as per question statement.
Total amount without tax = $37.4925 + $92.4533 + $4.49 = $134.4358
Sales Tax = 7.3% of total amount without tax = 7.3% 
$134.4358 = $9.81
Total paid = $134.4358 + $9.81 = <em>$144.2458</em>
Answer:
x = 17.5 and y = 35
Step-by-step explanation:
2x + 10 = y + 10 ( alternate angles )
subtract 10 from both sides
2x = y ⇒ 6x = 3y → (1)
the sum of the 3 angles in the triangle = 180°
6x + y + 10 + 30 = 180 ( replace 6x by 3y )
3y + y + 40 = 180
4y + 40 = 180 ( subtract 40 from both sides )
4y = 140 ( divide both sides by 4 )
y = 35
substitute y = 35 into (1)
2x = 35 ( divide both sides by 2 )
x = 17.5
answer
10
step-by-step explanation
the equation given is sin(x) = cos(y) with x = 2k + 3 and y = 6k + 7
substitute in 2k+ 3 for x in sin(x) and substitute in 6k + 7 for y in cos(y)
sin(x) = cos(y)
sin(2k + 3) = cos(6k + 7)
we know that sin(x) = cos(90 -x)
sin(2k + 3)
= cos(90 - (2k + 3) )
= cos(90 - 2k - 3)
= cos(87 - 2k)
substitute this into the equation sin(2k + 3) = cos(6k + 7)
sin(2k + 3) = cos(6k + 7)
cos(87 - 2k) = cos(6k + 7)
87 - 2k = 6k +7
80 = 8k
k = 10
