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Sus show oaks
Aissialwoms
First we need to determine what the 6 angles must add to. Turns out we use this formula
S = 180(n-2)
where S is the sum of the angles (result of adding them all up) and n is the number of sides. In this case, n = 6. So let's plug that in to get
S = 180(n-2)
S = 180(6-2)
S = 180(4)
S = 720
The six angles, whatever they are individually, add to 720 degrees. The six angles are y, y, 2y-20, 2y-20, 2y-20, 2y-20, <span>
They add up and must be equal to 720, so let's set up the equation to get...
(y)+(y)+(</span>2y-20)+(2y-20)+(2y-20)+(<span>2y-20) = 720
Let's solve for y
</span>y+y+2y-20+2y-20+2y-20+2y-20 = 720
10y-80 = 720
10y-80+80 = 720+80
<span>10y = 800
</span>
10y/10 = 800/10
y = 80
Now that we know the value of y, we can figure out the six angles
angle1 = y = 80 degrees
<span>angle2 = y = 80 degrees
</span><span>angle3 = 2y-20 = 2*80-20 = 140 degrees
</span>angle4 = 2y-20 = 2*80-20 =<span> 140 degrees
</span><span>angle5 = 2y-20 = 2*80-20 = 140 degrees
</span>angle6 = 2y-20 = 2*80-20 =<span> 140 degrees
</span>
and that's all there is to it
The answer is A. Greatest common factor is 8xy because of the gcf and wat the equation has in common, xy. Then you are here- 8xy(?-?). Now, you have to find what's in the parenthesis. So, what number multiplied by 8xy gives you 32, you already have your variables, is 4. 8xy(4-?). Then what number multiplied by 8xy gives you -56z? It's -7z. So u r done. 8xy(4-7z).
See the attached picture to better understand the problem
we know that
in the right triangle ABC
tan 68°=opposite side angle 68/adjacent side angle 68
opposite side angle 68=AB----- height of the tree
adjacent side angle 68=BC-----> 14.3 m
so
tan 68=AB/BC-----> solve for AB
AB=BC*tan 68-----> AB=14.3*tan 68------> AB=35.39 m------> AB=35.4 m
the answer isthe height of the tree is 35.4 m
Answer: 77% of the apples will contain at least 2.36 ounces of juice.
Step-by-step explanation:
Since the amount of juice squeezed from each of these apples is approximately normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the amount of juice squeezed in ounces.
µ = mean
σ = standard deviation
From the information given,
µ = 2.25 ounces
σ = 0.15 ounce
Looking at the normal distribution table, the z score corresponding 77%(77/100 = 0.77) is 0.74
Therefore, the number of ounces of juice, x will be
0.74 = (x - 2.25)/0.15
Cross multiplying, it becomes
x - 2.25 = 0.74 × 0.15
x - 2.25 = 0.111
x = 0.111 + 2.25
x = 2.36
