I need help with 18 and 19 please

Answers

Answer 1

Answer: 18) Angle WZY = 75/2 = 37.5(Angle subtended by an arc on any point on a circe is half the angle subtended at centre)
19) r = 4 ft
Area of the whole circle = (pi)r^2= 22/7 *4*4 = 50.28
Area of the sector = 75/360*50.28= 97.77 ft^2

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Given that f(x) = x^2 + 6x – 2, g(x) = x – 7, and h(x) = x + 4find each function. (f + g)(x)

Answers

Answer:

(f+g)(x) = x^2 + 7x -9

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= (x^2 + 6x – 2) + (x – 7)

= x^2 + 7x -9

Use the temperature box-and-whisker plot to solve. What is the range of each of the four quarters of data?

A.

first quarter: 2
second quarter:10
third quarter: 15
fourth quarter: 18

B.

first quarter: 2
second quarter: 8
third quarter: 5
fourth quarter: 3

C.

first quarter: 3
second quarter: 8
third quarter: 5
fourth quarter: 2

D.

first quarter: 3
second quarter: 8
third quarter: 16
fourth quarter: 18

Answers

the answer is B

because it is 2 degrees increase from 12 to 14, then from 14 to 22 is 8 degrees, then 5 more until 27, and so on.

A student skipped a step when she tried to convert 15 hours to seconds, and she got the following incorrect result:

Answers

The easiest and systematic way of answering this type of problem is through dimensional analysis. First we need to note that each hour has 60 minutes. Each minute has 60 seconds. First multiply 15 hours with the factor 60 mins/ hour, canceling the unit hour. Then multiplying with the factor 60 sec/mins, to cancel the mins unit. You are now left with the unit of sec. The answer is 54, 000 seconds.

Answer:

60 minutes / 1 hour

Step-by-step explanation:

Find the maximum value of x for which inequality 8.5x-24.7less than or equal to 3x+32.5 is true.

Answers

Answer:

The maximum value of x is 11.8.

Step-by-step explanation:

8.5x-24.7 <= 3x+32.5

5.5x <= 65

x <= 11.8

The maximum value of x is 11.8.

A square brick is 11 inches on each side. What is the area of one face of the break?

Answers

All sides of a square are the same so if the length of one is is 11 inches, then all of the sides are 11 inches.
To work out the area of a square you multiply the length and the width.
In this case the sum would be: 11 x 11
The answer to that is 121.
So overall, the answer would be 121 inches.

This is due tomorrow, so please help and show step by step

Answers

Answer:

slope = 3/2
y-intercept = 3
x-intercept = -2

Step-by-step explanation:

The slope is the coefficient of x when the equation is of the form ...

y = (something).

Here, we can put the equation in that form by subtracting 12x and dividing by the coefficient of y:

12x -8y = -24 . . . . . given

-8y = -12x -24 . . . . .subtract 12x

y = 3/2x +3 . . . . . . . divide by -8

This is the "slope-intercept" form of the equation. Generically, it is written ...

y = mx + b . . . . . . where m is the slope and b is the y-intercept

So, the above equation answers two of your questions:

slope = 3/2

y-intercept = 3

The x-intercept is found fairly easily from the original equation by setting y=0:

12x = -24

x = -24/12 = -2 . . . . . the x-intercept

_____

A graph of the equation can also show you these things. The graph shows a rise of 3 units for a run of 2, so the slope is rise/run = 3/2. The line crosses the axes at x=-2 and y=3, the intercepts.

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