Answer:
option b)
tan²θ + 1 = sec²θ
Step-by-step explanation:
The Pythagorean trigonometric identity is a trigonometric identity expressing the Pythagorean theorem in terms of trigonometric functions.
hypotenuse² = height² + base²
Given in the questions are some pythagorus identities which except of b) are all incorrect as explained below.
<h3>1)</h3>
sin²θ + 1 = cos²θ incorrect
<h3>sin²θ + cos²θ = 1 correct</h3><h3 /><h3>2)</h3>
by dividing first identity by cos²θ
sin²θ/cos²θ + cos²θ/cos²θ = 1/cos²θ
<h3>tan²θ + 1 = sec²θ correct</h3><h3 /><h3>3)</h3>
1 - cot²θ = cosec²θ incorrect
by dividing first identity by sin²θ
sin²θ/sin²θ + cos²θ/sin²θ = 1/sin²θ
<h3>1 + cot²θ = cosec²θ correct</h3><h3 /><h3>4)</h3>
1 - cos²θ = tan²θ
not such pythagorus identity exists
Answer:
Variable
x which stands for no. of toppings on pizza
equation
7 + 1.5x = 11.50
solution
the no. of toppings = 3
Step-by-step explanation:
Let the number of topping be x.
Cost of 1 topping = $1.50
Cost of x topping = x*Cost of 1 topping = $1.5*x = $1.5x
Cost of cheese pizza = $7.00
Total cost for cheese pizza for x topping = Cost of cheese pizza + Cost of x topping
Total cost for cheese pizza for x topping = 7 + 1.5x
Given that The total charge for Megan's pizza was $11.50
thus,
7 + 1.5x = 11.50
1.5x = 11.50 - 7
1.5x = 4.5
x = 4.5/1.5 = 3
Thus, there were three toppings
______________________________________
Variable
x which stands for no. of toppings on pizza
equation
7 + 1.5x = 11.50
solution
the no. of toppings = 3
We can solve this by converting both measurements to inches.
Orange tree:
1 foot=12 inches
7 feet=84 inches
84 inches + 9 inches = 93 inches total
Lemon tree:
1 yard=3 feet=36 inches
2 feet=24 inches
36 inches + 24 inches + 5 inches=65 inches total
Therefore, the orange tree is taller than the lemon tree.
Answer:
There were 4 pieces
Step-by-step explanation:
