Answer:
√5.
Step-by-step explanation:
Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse = √(1^2 + 2^2) = √5 (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).
so cos A = adjacent / hypotenuse = 2/√5.
and sin A = opposite / hypotenuse = 1 / √5
cos A / sin A = 2/√5 / 1/ √5 = 2.
sin A / (1 + cos A) = 1/√5 (1 + 2/ √5)
= 1 / √5 ( (√5 + 2) /√5)
= 1 / (√5 + 2)
So the answer is:
2 + 1 /(√5 + 2).
We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.
2 + 1 / (√5 + 2)
= 2(√5 + 2) + 1 / (√5 + 2 )
= { 2(√5 + 2) + 1 } / (√5 + 2)
Multiplying this by √5 - 2 / √5 - 2 we get:
(2(5 - 4) + √5 - 2) / (5 -4)
= 2 + √5 - 2 / 1
= √5.
Well first you take the amount that Connor paid, $29.25 and subtract the base price for the pizza, $17.50
$29.25 - $17.50 = $11.75
Then you divide that number by the base price of 1 topping, $2.35
11.75 / 2.35 = 5
So Connor got 5 toppings on his pizza.
Answer:
<h2>5, 7, 11</h2>
Step-by-step explanation:
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
A prime number has only two divisors: 1 and itself.
Therefore, the prime numbers are:
5, 7 and 11.
12 is not a prime because 12 = 2 × 6 = 3 × 4.
12 has six divisors: 1, 2, 3, 4, 6 and 12.
Answer:
x+79degree + 35degree = 180 degree ( being the sum of all angle of the triangle )
or, x + 114 degree = 180 degree
or, x = 180degree - 114degree
or, x = 66degree
hence, x = 66 degree.
Answer:
-8 • (6 + 3) + 390 + 6=324
Step-by-step explanation:
