Answer:
33. B
34. D
35. D
36. A
Step-by-step explanation:
All these questions require is a calculator :). For question 35, all you want to put in is arccos(0.8192) and make sure your calculator is in degree mode. For 36, all you want to put in is arctan(0.3839). For 34, all you want to put in is arcsin(0.6018). For 33, all you want to put in is arcsin(0.6561).
We need to solve x+2y=11 for x
Let's start by adding -2y to both sides
x+2y -2y = 11-2y
x= -2y+11
Now substitute -2y+11 for x in x-2y =-1
x-2y=-1
-2y+11-2y=-1
-4y+11=-1
Add -11 to both sides
-4y+11-11=-1-11
-4y=-12
Divide both sides by -4
-4y/-4 = -12/-4
y= 3
Substitute 3 for y in x=-2y+11
x= -2y+11
x = (-2)(3)+11
x=-6+11
x=5
The answer is x=5 and y=3
(5,3)
I hope that's help:)
Answer:
Let l be the length and w the width of the rectangle.
P as the perimeter and A as the area.
length of a rectangle is four times the width:
w = w
l = 4w
System of equation : 2l + 2w = P
Substitute:
2(4w) + 2w = 45
8w + 2w
10w = 45
w = 45 / 10
w = 4.5
Solve for l:
l = 4w
l = 4(4.5)
l = 18
Area:
A = lw
A = 18(4.5)
A = 81 in²
<h3>
Answer: Everything but the lower right hand corner</h3>
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Explanation:
Notice for the corners mentioned, we have the figures with corresponding angles that are the same (shown by similar arc markings) and they have congruent corresponding sides as well (aka they are the same length shown by similar tickmarks). Rotating one figure has it transform into the other.
The only time this does not happen is with the pair of figures in the bottom right hand corner. One square has side lengths of 20, the other has side lengths of 25. The two figures are not congruent due to the side mismatch.
