Answer:
177
Step-by-step explanation:
8.7×5×2=87
10×3×3=90
87+90=177
The triangle presented in the image has 2 axes of symmetry because it is only possible to divide it 2 times.
<h3>What are axes of symmetry?</h3>
The axes of symmetry are a concept of geometry that are classified into two groups:
- The plane axis of symmetry: This is an imaginary line that divides a figure into two parts, ensuring that the symmetrical points are at the same distance from it.
- The axis of axial symmetry: This is the symmetry around an axis, it is a point of translation and rotation in which all the semi-planes taken from a certain perpendicular bisector have identical characteristics.
According to the above, it can be inferred that the rectangle presented in the image has only two axes of symmetry.
Learn more about symmetry in: brainly.com/question/17759737
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we know there are 180° in π radians, how many degrees then in -3π/10 radians?
![\bf \begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\\\ x&-\frac{3\pi }{10} \end{array}\implies \cfrac{180}{x}=\cfrac{\pi }{~~-\frac{3\pi }{10}~~}\implies \cfrac{180}{x}=\cfrac{\frac{\pi}{1} }{~~-\frac{3\pi }{10}~~} \\\\\\ \cfrac{180}{x}=\cfrac{\pi }{1}\cdot \cfrac{10}{-3\pi }\implies \cfrac{180}{x}=-\cfrac{10}{3}\implies 540=-10x\implies \cfrac{540}{-10}=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill -54=x~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bccll%7D%20degrees%26radians%5C%5C%20%5Ccline%7B1-2%7D%20180%26%5Cpi%20%5C%5C%5C%5C%20x%26-%5Cfrac%7B3%5Cpi%20%7D%7B10%7D%20%5Cend%7Barray%7D%5Cimplies%20%5Ccfrac%7B180%7D%7Bx%7D%3D%5Ccfrac%7B%5Cpi%20%7D%7B~~-%5Cfrac%7B3%5Cpi%20%7D%7B10%7D~~%7D%5Cimplies%20%5Ccfrac%7B180%7D%7Bx%7D%3D%5Ccfrac%7B%5Cfrac%7B%5Cpi%7D%7B1%7D%20%7D%7B~~-%5Cfrac%7B3%5Cpi%20%7D%7B10%7D~~%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B180%7D%7Bx%7D%3D%5Ccfrac%7B%5Cpi%20%7D%7B1%7D%5Ccdot%20%5Ccfrac%7B10%7D%7B-3%5Cpi%20%7D%5Cimplies%20%5Ccfrac%7B180%7D%7Bx%7D%3D-%5Ccfrac%7B10%7D%7B3%7D%5Cimplies%20540%3D-10x%5Cimplies%20%5Ccfrac%7B540%7D%7B-10%7D%3Dx%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20~%5Chfill%20-54%3Dx~%5Chfill)
S he will get $9 change because 7 + 4 = 11
and 20-11 = 9.
So therefore she will get $9 change
Answer: (b) 48 cm
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Explanation:
Divide the perimeter of the square over 4 to get the side length s.
s = P/4
s = 48/4
s = 12
The side length of the square is 12 cm. This leads to an area of...
A = s^2
A = 12^2
A = 144
The area of the square is 144 square cm.
The rectangle is 4 cm^2 less than the square's area, so we know the rectangle has area 144-4 = 140 cm^2.
If the length of the rectangle is 14 cm, then the width must be
W = A/L
W = 140/14
W = 10
This is a 14 cm by 10 cm rectangle (note how 14*10 = 140)
The last step is to compute the perimeter of the rectangle
P = 2(L+W)
P = 2(14+10)
P = 2*24
P = 48
You can use the formula P = 2L+2W, but it's effectively the same thing.
The perimeter of the rectangle is 48 cm.
