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3 years ago

What is the value of k if 7k" minutes past nine" is the same as 8k" minutes to ten"?

Mathematics

1 answer:

schepotkina [342]3 years ago

5 0

Answer:

4 minutes

Step-by-step explanation:

The value of 7k "minutes past nine" is the same as 8k" minutes to ten".

Since there are 60 minutes in an hour and 9 and 10 fall in between the same hour, this means that:

7k = 60 - 8k

7k + 8k = 60

15k = 60

k = 60 / 15

k = 4 minutes

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3 years ago

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yulyashka [42]

Answer:

x = 50°

y = 50°

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Step-by-step explanation:

working out x:

angles on a straight line add up to 180°

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working out y:

two vertical lines means that both sides are equal, so both angles are also equal (it's an isosceles triangle). This means that y is the same angle as x = 50°

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2 years ago

You have a jar of marbles in front of you with

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4 years ago

1. Complete the tables of values below for graphing the secant and cotangent functions. You can type “U” for an undefined value.

Katyanochek1 [597]

Step-by-step explanation:

1. All the trigonometric values can be found using the unit circle. See attached table.

2. Graph:

desmos.com/calculator/10n7yrm3tm

3. All trig functions are periodic functions. The period of secant and cosecant is 2π. The period of cotangent is π.

4. Using the table from step 1 and the graph from step 2, secant has a domain of x ≠ pi/2, 3pi/2 and a range of x ≤ -1, x ≥ 1. Cotangent has a domain of x ≠ 0, pi, 2pi and a range of -∞ < x < ∞.

5. Graph:

desmos.com/calculator/tldiqt7qra

Cosecant has the same graph as secant shifted π/2 to the right. So they have different domains, but the same range.