Answer:
x = -3
Step-by-step explanation:
You can try the answers to see which works. Or, you can actually solve the equation for x.
... 7 - log2(x+5) = 6
... 1 - log2(x+5) = 0 . . . . subtract 6
... 1 = log2(x+5) . . . . . . . add log2(x+5)
... 2 = x +5 . . . . . . . . . . . take the antilog
... -3 = x . . . . . . . . . . . . . subtract 5
Hey there! :D
We have all the given information.
We know that all the angles added up will equal <AOF.
So, from angle <A to angle <D it is 82 degrees. From <B to <E that is 68. The three top angles are the same measure, the bottom two are the same measure.
Let's let <AOB and <BOC stand for x, and <COD, <DOE, and <EOF stand for y.
We have two equations here.
2x+y= 82
x+2y= 68
We have to switch one thing around.
2x+y=82
Subtract 2x from that.
y=82-2x
Plug that into the other equation.
x+2(82-2x)=68
x+164-4x=68
164-3x=68
-3x= -96
x=32
Now we know that <AOB and <BOC are 32 degrees.
Now plug that in to find y.
2x+y=82
2(32)+y=82
64+y=82
y=18
Now we know the measure of all the smaller angles.
So, here's our last equation: (since we have 3 smaller angles and 2 larger ones)
18y+32x=
18(3)+32(2)= 118
<AOF= 18 degrees
I hope this helps!
~kaikers
Answer:
3 times bigger
Step-by-step explanation:
600 dm2 is equivalent to 6 metres squared and the football goal is 18m2 so the football goal is three times bigger (6x3=18)
I’m not sure, maybe try going on quizzes
Since 1 cubic feet = 62 pounds, the weight of the water that Jerry put in the aquarium is 558 pounds
<h3>How to calculate the volume/weight of water</h3>
We have to find the volume of water in the aquarium.
Recall the shape of the aquarium is a rectangular prism. Therefore,
volume = lwh
where
- l = length
- w = width
- h = height
Therefore,
l = 3 ft
w = 2 ft
h = 1.5 ft
volume = 3 × 2 × 1.5
volume of water = 9 ft³
Therefore,
1 ft³= 62 pounds
9 ft³ = ?
cross multiply
weight of water = 9 × 62
weight of water = 558 pounds
learn more on volume here:brainly.com/question/24357711