Answer:
5:3
Step-by-step explanation:
The ratio is 5 to 3
chocolate being 5 and oatmeal being 3
Answer:
D
Step-by-step explanation:
The sum of two remote interior angles (a remote interior angle is the interior angle that is not supplementary to the exterior angle given -- in this case A and B are remote angles) equals the exterior angle.
In This case A + B = 140
A = x + 2
B = 2x
x +2 + 2x = 140
3x + 2 = 140 Subtract 2 from both sides
3x = 138 Divide by 3
x = 138/3
x = 46
<B = 2x
<B = 2*46
<B = 92
Answer:
See below in bold.
Step-by-step explanation:
cos 150 = - cos(180 - 150)
= - cos 30
= -√3/2.
sin 150
= sin (180 - 150
= sin 30
= 1/2.
<h3>
Answer: -1.5</h3>
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Explanation:
Draw a horizontal line from W to the y axis. You should arrive somewhere between -1 and -2. While this isn't exact, it looks like we should arrive right at the middle of -1 and -2; therefore we should get to -1.5
The y coordinate of W is -1.5
Keep in mind this is based on the assumption we reach the halfway point. Unfortunately, W is not on any horizontal grid lines to be able to determine exactly where W is along the y axis.
Answer:
5.0 ft - 5.6 ft
Step-by-step explanation:
Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.
Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;
Tan α = opposite side length/adjacent length
Tan 40°= h/8
h= 8 tan 40° = 6.71 ft
Applying the cosine of an angle formula to find the length of the sliding side
Cosine β = adjacent length /hypotenuse
Cosine 40°= 8/ sliding side length
sliding side length = 8/cosine 40° =10.44 ft
Checking the perimeter = 10.44 +8+6.71= 25.15 ft
This is more than the total lengths of the boards, so you need to adjust the height as;
24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft
h≤ 5.6 ft
