Answer:
the area of the mat = total area added minus the original area of the water color painting.
length of the mat is:
L = 21 in + 3 in + 3 in because 3 in is added to each side
L = 27 inwidth of the mat is:w = 11 in + 3 in + 3 inw = 17in
Area mat = (27 in x 17 in) - ( 21 in x 27 in)
area mat = 108 sq in is the area of the mat
Step-by-step explanation:
5x 3 1/2 = 3 x 5 1/2 is false
Answer:
Option 2: 
Step-by-step explanation:
Given:
From the triangle shown below;
A triangle QRS with angle QRS = 90°, ∠QSR = 30°.
Side QR = 5, SQ = 10 and RS = 5√3
Now, we know from trigonometric ratio that,

Here, opposite side of angle QSR is QR and Hypotenuse is the side opposite angle QRS which is SQ. Therefore,

Therefore, the value of sine of 30° is one-half. So, second option is correct.
Answer:
How many groups are there or how many people are in each group
Step-by-step explanation:
First thing you need to do is find your k in y = kx
So to do that insert 18 for x and 6 for y and then solve for k
y = kx
6 = k18
6/18 = k18 /18
1 / 3 = k
k = 1 /3
So now that we know what k is we can find x when y = 10. Once again insert the numbers we know. We know k = 1/3 and y = 10 and we need to find x
y = kx
10 = (1/3)x
3* 10 = 3*(1/3)x
30 = x
x = 30