Answer:
<u>The values for x = 56, for y = 28 and z = 64</u>
Step-by-step explanation:
1. Let's review the information given for answering the question correctly:
∠2y° and ∠56°are alternate interior angles
∠x °and ∠2y° are alternate interior angles
<u>2. . Let's find the values of x, y and z.</u>
2y = 56
<u>y = 28</u>
Therefore,
∠x ° = ∠2y°
∠x ° = ∠56°
<u>x = 56 </u>
Let's recall that all the interior angles of a triangle will always add up to 180°, thus:
∠z° = 180 - 60 - 56
∠z° = 180 - 116
<u>∠z° = 64°</u>
<u>z = 64</u>
Answer:
Exponential transformation.
Step-by-step explanation:
y = log_3 (x + 3) - 2
To transform this into exponential, we have:
Adding 2 to both sides
y + 2 = log_3 (x + 3)
3^(y + 2) = x + 3
x = 3^(y + 2) - 3
You have to find how many kids are in eighth grade so you would multiply 34x6 and get 204 then you decide that by 1/4 and you get 51
Answer:
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
Step-by-step explanation:
Given
Volume of a box = length × breadth × height= l×b×h
In this case the box have a square base. i.e l=b
Volume V = l^2 × h
The surface area of a square box
S = 2(lb+lh+bh)
S = 2(l^2 + lh + lh) since l=b
S = 2(l^2 + 2lh)
Given that the box is open top.
S = l^2 + 4lh
And Surface Area of the box is 1200cm^2
1200 = l^2 + 4lh ....1
Making h the subject of formula
h = (1200 - l^2)/4l .....2
Volume is given as
V = l^2 × h
V = l^2 ×(1200 - l^2)/4l
V = (1200l - l^3)/4
the maximum point is at dV/dl = 0
dV/dl = (1200 - 3l^2)/4
dV/dl = (1200 - 3l^2)/4 = 0
3l^2= 1200
l^2 = 1200/3 = 400
l = √400
I = 20cm
Since,
h = (1200 - l^2)/4l
h = (1200 - 20^2)/4×20
h = (800)/80
h = 10cm
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
