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3 years ago

Find the missing angle ?

Mathematics

2 answers:

irakobra [83]3 years ago

8 0

Answer:

Step-by-step explanation:

because there are vertical angles

il63 [147K]3 years ago

6 0

Answer:

x = 25°

Step-by-step explanation:

x = 25°

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When draining her hot tub, the height of the water in Brittany’s hot tub decreases at a rate of 2 inches per minute. After 9 min

N76 [4]

Step-by-step explanation:

Let's give the starting amount of water as s. Every minute, 2 inches of water are lost, meaning that given the starting amount, s, we subtract 2 inches from s every minute, so s - 2 every minute = height of water left, so s - 2t (t representing minutes) = h

To figure out s, we simply plug our known value -- 9 minutes in and 11 inches left. s - 2(9) = 11, s-18=11, s= 29

29 - 2t = h

b. We know that we cannot have negative minutes, so the minimum amount of time that makes sense is 0. To figure out the maximum, we stop counting how much time has occurred when there is no water left, so we have to figure out when h = 0

29-2t = h = 0

t=14.5

Therefore, anything between 0 and 14.5 minutes makes sense

c. Anything between 0 and 29 makes sense because the height of water cannot be negative and we cannot get higher than the starting amount

5 0

3 years ago

The table shows the outputs, y, for different inputs, x: Input (x) 6 12 15 25 Output (y) 14 15 15 16 Part A: Do the data in this

cluponka [151]

Answer:

Part A: No it is not a function

Part B: The equation

Part C: x = 3

Step-by-step explanation:

Part A - The table:

Input (x) Output (y)

6 14

12 15

15 15

25 16

This is a function because it has no repeating inputs values which have alternate outputs. Each input is assigned exactly one output.

Part B - The relation y = 7x - 15 has the value y = 27 when x = 6. You can find it by substituting into the equation.

y = 7(6) -15

y = 42 - 15

y = 27

The value of the relation in the table when x = 6 is y = 14. The equation has the greater value.

Part C: To find when y = 6, set it equal to 6 and solve for x.

6 = 7x - 15

21 = 7x

3 = x

5 0

3 years ago

The graph represents the function f(x) = 10(2)^x.

Bond [772]

General Idea:

The exponential function will be of the form $y=a(b)^x$ .

When b>1, the function indicates the exponential growth.

When 0<b<1, the function indicates the exponential decay.

Applying the concept:

We are given the graph of $y=10(2)^x$ , here b = 2.

The question ask the characteristic of the function when b is in the interval $1$ . The attached figure shows few graphs of exponential function whose b value is less than 2 and greater than 1. We can notice that graph increases at slower rate, that is change in y with respect to change in x is getting slower as we reduce the values of b less than 2 and greater than 1.