Answer:
Step-by-step explanation:
<u>Properties of Exponents</u>
The property called Power to a Power shows us how to simplify expressions of the type:
Similarily the property called Power of a product simplifies expressions like:
The company mentioned in the question uses the expression
millimeters per second to calculate the maximum capacity of a photocell with an area of x^3 square millimeters.
First, use the power of a product property:
Now use the power to a power property:
Operate:
The ladder resting against the house forms a triangle similar to the one in the image below
To answer this question you must use Pythagorean theorem
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = x
b = 8
c = 34
^^^Plug these numbers into the theorem
solve for x
+ 64 = 1156
Subtract 64 to both sides
= 1092
Take the square root of both sides
x = √1092
This can be simplified to:
2√273
or
x ≈ 33.045...
The ladder reached roughly 33.05 ft up the wall of the building
Hope this helped!
~Just a girl in love with Shawn Mendes
9 and 7 are the numerators. The greatest common factor between 3 and 7 is 21. Whatever u multiply the bottom by u have to multiply the top by as well
The answer is 180mm^2. (B)
First, we can decompose the shape into a rectangle and a parallelogram. Let’s start with the rectangle.
Formula for a rectangle: bh
The base is 6 while the height is 12. You multiply like so. 6*12=72.
The area of the rectangle is 72.
The formula of a parallelogram is the same as the rectangle. (Bh)
To identify the base in this parallelogram, you would subtract the whole base length, 15 by half of the base length, 6.
15 - 6 = 9.
So the other half base length is 9.
You can simply transform a parallelogram into a rectangle by decomposing the parallelogram into two right triangles and a rectangle. You would take the right triangle at the bottom of the figure and move it to the top of the parallelogram in the photo. Thus, becoming a rectangle.
Now, we can identify the base and the height. The base of the parallelogram is 9 while the height is 12.
You would then multiply 9 by 12 like so to get 108.
After finding the area of the rectangle and parallelogram, you would add them up.
72 + 108 = 180mm^2
Therefore, making the answer choice B.
Answer
7,3'
hope this helps give me a 5-rate and a thanks!
