Answer: The answer is 39 square feet.
Step-by-step explanation:
By saying square feet it's indicated that you mean the area of this irregular figure.
To do this you can break apart the shape into two pieces.
The first 11 x 3 rectangle then the 2 x 3 rectangle.
Next, you can find the area to be 33 square feet and 6 square feet. respectively, afterward, you add the areas together to find the area of the figure, which is 39 square feet.
Answer:
<em>Answer: 1/4</em>
Step-by-step explanation:
<u>Algebraic Operations</u>
The width of a rectangle is given as W=5x+3 and the length of the rectangle is given as L=20x+12.
It's required to determine the ratio of the width to the length, that is:

This fraction can be simplified if we factor the expression in the denominator. The LCF of 20x and 12 is 4, thus:

Now note we have the exact same expression up and down, thus simplifying:

Answer: 1/4
Using the normal distribution, it is found that the correct option is:
In a <em>normal distribution</em> with mean
and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
In this problem:
- The mean on the Wechsler Scale is of 100, hence
.
- The standard deviation is of 17, hence
.
- Brianna had an score of 117, hence

Then:



Hence, the option d is correct.
To learn more about the normal distribution, you can check brainly.com/question/24663213
<h3>Answer: 6pi radians</h3>
(this is equivalent to 1080 degrees)
======================================
Explanation:
f(x) = sin(x/3)
is the same as
f(x) = 1*sin( (1/3)(x-0) )+0
and that is in the form
f(x) = A*sin( B(x-C) )+D
The letters A,B,C,D are explained below
A = helps find the amplitude
B = 2pi/T, where T is the period
C = determines phase shift (aka left/right shifting)
D = determines vertical shift = midline
All we care about is the value of B as that is the only thing that is connected to the period T
--------
Compare f(x) = 1*sin( (1/3)(x-0) )+0 with f(x) = A*sin( B(x-C) )+D and we see that B = 1/3, so,
B = 2pi/T
1/3 = 2pi/T
1*T = 3*2pi ... cross multiply
T = 6pi
The period is 6pi radians. This is equivalent to 1080 degrees. To convert from radians to degrees, you multiply by (180/pi).